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Anemometer
Anemometer
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A hemispherical-cup anemometer of the type invented in 1846 by John Thomas Romney Robinson

In meteorology, an anemometer (from Ancient Greek άνεμος (ánemos) 'wind' and μέτρον (métron) 'measure') is a device that measures wind speed and direction. It is a common instrument used in weather stations. The earliest known description of an anemometer was by Italian architect and author Leon Battista Alberti (1404–1472) in 1450.

History

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A reconstruction of an anemometer by Leonardo da Vinci

The anemometer has changed little since its development in the 15th century. Alberti is said to have invented it around 1450. In the ensuing centuries numerous others, including Robert Hooke (1635–1703), developed their own versions, with some mistakenly credited as its inventor. In 1846, Thomas Romney Robinson (1792–1882) improved the design by using four hemispherical cups and mechanical wheels. In 1926, Canadian meteorologist John Patterson (1872–1956) developed a three-cup anemometer, which was improved by Brevoort and Joiner in 1935. In 1991, Derek Weston added the ability to measure wind direction. In 1994, Andreas Pflitsch developed the sonic anemometer.[1]

Velocity anemometers

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Cup anemometers

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Cup anemometer animation

A simple type of anemometer was invented in 1845 by Rev. Dr. John Thomas Romney Robinson of Armagh Observatory. It consisted of four hemispherical cups on horizontal arms mounted on a vertical shaft. The air flow past the cups in any horizontal direction turned the shaft at a rate roughly proportional to the wind's speed. Therefore, counting the shaft's revolutions over a set time interval produced a value proportional to the average wind speed for a wide range of speeds. This type of instrument is also called a rotational anemometer.

Four cup

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With a four-cup anemometer, the wind always has the hollow of one cup presented to it, and is blowing on the back of the opposing cup. Since a hollow hemisphere has a drag coefficient of .38 on the spherical side and 1.42 on the hollow side,[2] more force is generated on the cup that presenting its hollow side to the wind. Because of this asymmetrical force, torque is generated on the anemometer's axis, causing it to spin.

Theoretically, the anemometer's speed of rotation should be proportional to the wind speed because the force produced on an object is proportional to the speed of the gas or fluid flowing past it. However, in practice, other factors influence the rotational speed, including turbulence produced by the apparatus, increasing drag in opposition to the torque produced by the cups and support arms, and friction on the mount point. When Robinson first designed his anemometer, he asserted that the cups moved one-third of the speed of the wind, unaffected by cup size or arm length. This was apparently confirmed by some early independent experiments, but it was incorrect. Instead, the ratio of the speed of the wind and that of the cups, the anemometer factor, depends on the dimensions of the cups and arms, and can have a value between two and a little over three. Once the error was discovered, all previous experiments involving anemometers had to be repeated.

Three cup

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The three-cup anemometer developed by Canadian John Patterson in 1926, and subsequent cup improvements by Brevoort & Joiner of the United States in 1935, led to a cupwheel design with a nearly linear response and an error of less than 3% up to 60 mph (97 km/h). Patterson found that each cup produced maximum torque when it was at 45° to the wind flow. The three-cup anemometer also had a more constant torque and responded more quickly to gusts than the four-cup anemometer.

Three cup wind direction

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The three-cup anemometer was further modified by Australian Dr. Derek Weston in 1991 to also measure wind direction. He added a tag to one cup, causing the cupwheel speed to increase and decrease as the tag moved alternately with and against the wind. Wind direction is calculated from these cyclical changes in speed, while wind speed is determined from the average cupwheel speed.

Three-cup anemometers are currently the industry standard for wind resource assessment studies and practice.

Vane anemometers

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One of the other forms of mechanical velocity anemometer is the vane anemometer. It may be described as a windmill or a propeller anemometer. Unlike the Robinson anemometer, whose axis of rotation is vertical, the vane anemometer must have its axis parallel to the direction of the wind and is therefore horizontal. Furthermore, since the wind varies in direction and the axis has to follow its changes, a wind vane or some other contrivance to fulfill the same purpose must be employed.

A vane anemometer thus combines a propeller and a tail on the same axis to obtain accurate and precise wind speed and direction measurements from the same instrument.[3] The speed of the fan is measured by a revolution counter and converted to a windspeed by an electronic chip. Hence, volumetric flow rate may be calculated if the cross-sectional area is known.

In cases where the direction of the air motion is always the same, as in ventilating shafts of mines and buildings, wind vanes known as air meters are employed, and give satisfactory results.[4]

Hot-wire anemometers

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Hot-wire sensor

Hot wire anemometers use a fine wire (on the order of several micrometres) electrically heated to some temperature above the ambient. Air flowing past the wire cools the wire. As the electrical resistance of most metals is dependent upon the temperature of the metal (tungsten is a popular choice for hot-wires), a relationship can be obtained between the resistance of the wire and the speed of the air.[5] In most cases, they cannot be used to measure the direction of the airflow, unless coupled with a wind vane.

Several ways of implementing this exist, and hot-wire devices can be further classified as CCA (constant current anemometer), CVA (constant voltage anemometer) and CTA (constant-temperature anemometer). The voltage output from these anemometers is thus the result of some sort of circuit within the device trying to maintain the specific variable (current, voltage or temperature) constant, following Ohm's law.

Additionally, PWM (pulse-width modulation) anemometers are also used, wherein the velocity is inferred by the time length of a repeating pulse of current that brings the wire up to a specified resistance and then stops until a threshold "floor" is reached, at which time the pulse is sent again.

Hot-wire anemometers, while extremely delicate, have extremely high frequency-response and fine spatial resolution compared to other measurement methods, and as such are almost universally employed for the detailed study of turbulent flows, or any flow in which rapid velocity fluctuations are of interest.

An industrial version of the fine-wire anemometer is the thermal flow meter, which follows the same concept, but uses two pins or strings to monitor the variation in temperature. The strings contain fine wires, but encasing the wires makes them much more durable and capable of accurately measuring air, gas, and emissions flow in pipes, ducts, and stacks. Industrial applications often contain dirt that will damage the classic hot-wire anemometer.

Drawing of a laser anemometer. The laser light is emitted (1) through the front lens (6) of the anemometer and is backscattered off the air molecules (7). The backscattered radiation (dots) re-enters the device and is reflected and directed into a detector (12).

Laser Doppler anemometers

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In laser Doppler velocimetry, laser Doppler anemometers use a beam of light from a laser that is divided into two beams, with one propagated out of the anemometer. Particulates (or deliberately introduced seed material) flowing along with air molecules near where the beam exits reflect, or backscatter, the light back into a detector, where it is measured relative to the original laser beam. When the particles are in great motion, they produce a Doppler shift for measuring wind speed in the laser light, which is used to calculate the speed of the particles, and therefore the air around the anemometer.[6]

Fixed mounted 2D ultrasonic anemometer with 3 paths.
Central spike keeps birds away.

Ultrasonic anemometers

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3D ultrasonic anemometer

Ultrasonic anemometers, first developed in the 1950s, use ultrasonic sound waves to measure wind velocity. They measure wind speed based on the time of flight of sonic pulses between pairs of transducers.[7]

The time that a sonic pulse takes to travel from one transducer to its pair is inversely proportionate to the speed of sound in air plus the wind velocity in the same direction: where is the time of flight, is the distance between transducers, is the speed of sound in air and is the wind velocity. In other words, the faster the wind is blowing, the faster the sound pulse travels. To correct for the speed of sound in air (which varies according to temperature, pressure and humidity) sound pulses are sent in both directions and the wind velocity is calculated using the forward and reverse times of flight: where is the forward time of flight and the reverse.

Because ultrasonic anenometers have no moving parts, they need little maintenance and can be used in harsh environments. They operate over a wide range of wind speeds. They can measure rapid changes in wind speed and direction, taking many measurements each second, and so are useful in measuring turbulent air flow patterns.

Their main disadvantage is the distortion of the air flow by the structure supporting the transducers, which requires a correction based upon wind tunnel measurements to minimize the effect. Rain drops or ice on the transducers can also cause inaccuracies.

Since the speed of sound varies with temperature, and is virtually stable with pressure change, ultrasonic anemometers are also used as thermometers.

Measurements from pairs of transducers can be combined to yield a measurement of velocity in 1-, 2-, or 3-dimensional flow. Two-dimensional (wind speed and wind direction) sonic anemometers are used in applications such as weather stations, ship navigation, aviation, weather buoys and wind turbines. Monitoring wind turbines usually requires a refresh rate of wind speed measurements of 3 Hz,[8] easily achieved by sonic anemometers. Three-dimensional sonic anemometers are widely used to measure gas emissions and ecosystem fluxes using the eddy covariance method when used with fast-response infrared gas analyzers or laser-based analyzers.

Acoustic resonance anemometers

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Acoustic resonance anemometer

Acoustic resonance anemometers are a more recent variant of sonic anemometer. The technology was invented by Savvas Kapartis and patented in 1999.[9] Whereas conventional sonic anemometers rely on time of flight measurement, acoustic resonance sensors use resonating acoustic (ultrasonic) waves within a small purpose-built cavity in order to perform their measurement.

Acoustic resonance principle

Built into the cavity is an array of ultrasonic transducers, which are used to create the separate standing-wave patterns at ultrasonic frequencies. As wind passes through the cavity, a change in the wave's property occurs (phase shift). By measuring the amount of phase shift in the received signals by each transducer, and then by mathematically processing the data, the sensor is able to provide an accurate horizontal measurement of wind speed and direction.

Because acoustic resonance technology enables measurement within a small cavity, the sensors tend to be typically smaller in size than other ultrasonic sensors. The small size of acoustic resonance anemometers makes them physically strong and easy to heat, and therefore resistant to icing. This combination of features means that they achieve high levels of data availability and are well suited to wind turbine control and to other uses that require small robust sensors such as battlefield meteorology. One issue with this sensor type is measurement accuracy when compared to a calibrated mechanical sensor. For many end uses, this weakness is compensated for by the sensor's longevity and the fact that it does not require recalibration once installed.

Pressure anemometers

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Britannia Yacht Club clubhouse tour, burgee, and wind gauge on roof

The first designs of anemometers that measure the pressure were divided into plate and tube classes.

Plate anemometers

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These are the first modern anemometers. They consist of a flat plate suspended from the top so that the wind deflects the plate. In 1450, the Italian art architect Leon Battista Alberti invented the first such mechanical anemometer;[10] in 1663 it was re-invented by Robert Hooke.[11][12] Later versions of this form consisted of a flat plate, either square or circular, which is kept normal to the wind by a wind vane. The pressure of the wind on its face is balanced by a spring. The compression of the spring determines the actual force which the wind is exerting on the plate, and this is either read off on a suitable gauge, or on a recorder. Instruments of this kind do not respond to light winds, are inaccurate for high wind readings, and are slow at responding to variable winds. Plate anemometers have been used to trigger high wind alarms on bridges.

Tube anemometers

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Tube anemometer invented by William Henry Dines. The movable part (right) is mounted on the fixed part (left).
Instruments at Mount Washington Observatory. The pitot tube static anemometer is on the right.
The pointed head is the pitot port. The small holes are connected to the static port.

James Lind's anemometer of 1775 consisted of a vertically mounted glass U tube containing a liquid manometer (pressure gauge), with one end bent out in a horizontal direction to face the wind flow and the other vertical end capped. Though the Lind was not the first, it was the most practical and best known anemometer of this type. If the wind blows into the mouth of a tube, it causes an increase of pressure on one side of the manometer. The wind over the open end of a vertical tube causes little change in pressure on the other side of the manometer. The resulting elevation difference in the two legs of the U tube is an indication of the wind speed. However, an accurate measurement requires that the wind speed be directly into the open end of the tube; small departures from the true direction of the wind causes large variations in the reading.

The successful metal pressure tube anemometer of William Henry Dines in 1892 utilized the same pressure difference between the open mouth of a straight tube facing the wind and a ring of small holes in a vertical tube which is closed at the upper end. Both are mounted at the same height. The pressure differences on which the action depends are very small, and special means are required to register them. The recorder consists of a float in a sealed chamber partially filled with water. The pipe from the straight tube is connected to the top of the sealed chamber and the pipe from the small tubes is directed into the bottom inside the float. Since the pressure difference determines the vertical position of the float this is a measure of the wind speed.[13]

The great advantage of the tube anemometer lies in the fact that the exposed part can be mounted on a high pole, and requires no oiling or attention for years; and the registering part can be placed in any convenient position. Two connecting tubes are required. It might appear at first sight as though one connection would serve, but the differences in pressure on which these instruments depend are so minute, that the pressure of the air in the room where the recording part is placed has to be considered. Thus, if the instrument depends on the pressure or suction effect alone, and this pressure or suction is measured against the air pressure in an ordinary room in which the doors and windows are carefully closed and a newspaper is then burnt up the chimney, an effect may be produced equal to a wind of 10 mi/h (16 km/h); and the opening of a window in rough weather, or the opening of a door, may entirely alter the registration.

While the Dines anemometer had an error of only 1% at 10 mph (16 km/h), it did not respond very well to low winds due to the poor response of the flat plate vane required to turn the head into the wind. In 1918 an aerodynamic vane with eight times the torque of the flat plate overcame this problem.

Pitot tube static anemometers

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Modern tube anemometers use the same principle as in the Dines anemometer, but using a different design. The implementation uses a pitot-static tube, which is a pitot tube with two ports, pitot and static, that is normally used in measuring the airspeed of aircraft. The pitot port measures the dynamic pressure of the open mouth of a tube with pointed head facing the wind, and the static port measures the static pressure from small holes along the side on that tube. The pitot tube is connected to a tail so that it always makes the tube's head face the wind. Additionally, the tube is heated to prevent rime ice formation on the tube.[14] There are two lines from the tube down to the devices to measure the difference in pressure of the two lines. The measurement devices can be manometers, pressure transducers, or analog chart recorders.[15]

Ping-pong ball anemometers

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A common anemometer for basic use is constructed from a ping-pong ball attached to a string. When the wind blows horizontally, it presses on and moves the ball; because ping-pong balls are very lightweight, they move easily in light winds. Measuring the angle between the string-ball apparatus and the vertical gives an estimate of the wind speed.

This type of anemometer is mostly used for middle-school level instruction, which most students make on their own, but a similar device was also flown on the Phoenix Mars Lander.[16]

Effect of density on measurements

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In the tube anemometer the dynamic pressure is actually being measured, although the scale is usually graduated as a velocity scale. If the actual air density differs from the calibration value, due to differing temperature, elevation or barometric pressure, a correction is required to obtain the actual wind speed. Approximately 1.5% (1.6% above 6,000 feet) should be added to the velocity recorded by a tube anemometer for each 1000 ft (5% for each kilometer) above sea-level.

Effect of icing

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At airports, it is essential to have accurate wind data under all conditions, including freezing precipitation. Anemometry is also required in monitoring and controlling the operation of wind turbines, which in cold environments are prone to in-cloud icing. Icing alters the aerodynamics of an anemometer and may entirely block it from operating. Therefore, anemometers used in these applications must be internally heated.[17] Both cup anemometers and sonic anemometers are presently available with heated versions.

Instrument location

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In order for wind speeds to be comparable from location to location, the effect of the terrain needs to be considered, especially in regard to height. Other considerations are the presence of trees, and both natural canyons and artificial canyons (urban buildings). The standard anemometer height in open rural terrain is 10 meters.[18]

See also

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Notes

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References

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Revisions and contributorsEdit on WikipediaRead on Wikipedia
from Grokipedia
An anemometer is an instrument designed to measure the speed of the , serving as a fundamental tool in for recording atmospheric conditions at stations and aiding in the study of patterns and . These devices typically operate by detecting the force or motion imparted by on mechanical or electronic components, converting it into quantifiable such as meters per second or , and are often paired with wind vanes to determine direction as well. Anemometers are deployed in diverse environments, from surface observations to high-altitude research, contributing to forecasts, , and . The history of the anemometer traces back to the , with the earliest known description provided by Italian architect around 1450, who proposed a device using a swinging plate to gauge force. Significant advancements occurred in the 17th and 18th centuries, including Robert Hooke's pendulum-based design in 1667 and James Lind's U-shaped tube anemometer introduced in 1775, which measured differences. By the mid-19th century, innovations like Admiral Johan Henrik Kreüger's plate anemometer, developed around 1850 for Sweden's inaugural meteorological network, enabled systematic recordings across multiple stations, influencing early weather observation practices. Modern anemometers encompass several types tailored to specific applications, with the cup anemometer—featuring three or four hemispherical cups mounted on horizontal arms—being one of the most common for its reliability in measuring average speeds through rotational velocity. Other variants include or vane anemometers, which combine spinning blades with directional tails for simultaneous speed and direction assessment; sonic anemometers, which use ultrasonic sound waves to detect wind components without moving parts, offering high precision for studies; and pitot-tube anemometers, which rely on pressure differentials for accurate readings in and research settings. These instruments have evolved with electronic sensors and data logging, enhancing their role in assessments, such as siting, and real-time meteorological networks.

Fundamentals

Definition and Applications

An anemometer is a meteorological instrument designed to measure the speed of , and in some cases its direction, by converting the of the moving air or the associated differences into quantifiable electrical or mechanical signals for display or recording. The term "anemometer" originates from words anemos, meaning "wind," and metron, meaning "measure," reflecting its purpose as a wind-measuring device. Anemometers find essential applications across multiple fields, beginning with meteorology where they are integral to weather stations for real-time monitoring of atmospheric conditions to support forecasting and climate studies. In aviation, they ensure runway safety by assessing crosswinds and gusts that influence aircraft operations during takeoff and landing. For heating, ventilation, and air conditioning (HVAC) systems, anemometers facilitate airflow balancing and duct testing to optimize energy efficiency and indoor air quality. In the wind energy sector, they evaluate potential turbine sites by quantifying wind resources and turbulence patterns to inform placement and performance predictions. Environmental monitoring employs anemometers to track pollutant dispersion and airflow in ecosystems, aiding assessments of air quality and ecological impacts. Additionally, in fluid dynamics research, anemometers contribute to experimental validations of airflow models, such as in computational fluid dynamics studies for vehicle aerodynamics. Over time, anemometers have evolved from early mechanical designs, like cup and vane types reliant on rotating components, to advanced digital sensors, including ultrasonic models that use sound wave propagation for non-contact measurements, enhancing precision and reducing wear. This progression has emphasized reliability in harsh environmental conditions, such as or offshore installations, where digital variants with no moving parts withstand corrosion, icing, and high winds better than their mechanical predecessors. Anemometers generally operate through either direct sensing or indirect pressure-based approaches, though specifics vary by .

Core Measurement Principles

Anemometers quantify through diverse physical principles that convert into measurable signals. Mechanical rotation-based methods, such as those in or designs, rely on the generated by wind on rotating elements to determine speed from . dissipation principles, employed in hot-wire anemometers, measure the cooling effect of wind on a heated wire or film, where the rate of heat loss correlates with velocity via relating convective to speed. Pressure differential approaches, like those in Pitot-static tubes, exploit to compute speed from the difference between total and static air pressures. Optical techniques in laser Doppler anemometers detect velocity-induced frequency shifts in scattered from particles in the flow, using the to resolve speed components. Acoustic propagation methods in ultrasonic anemometers assess wind by the transit time of sound pulses between transducers, where wind alters the effective along the path. A fundamental calibration equation for rotational anemometers expresses indicated wind speed as vi=kfv_i = k \cdot f, where viv_i is the indicated speed in per second, kk is the instrument-specific constant (typically in m/s per revolution or Hertz, derived from empirical testing relating rotation to true speed), and ff is the rotation frequency in Hertz. This linear relationship assumes steady-state conditions and neglects or ; derivation involves equating aerodynamic to rotational , yielding k=2πrctIω/vk = \frac{2\pi r c_t}{I \omega / v}, simplified empirically where rr is , ctc_t torque coefficient, II , and ω\omega , but practical kk is obtained via least-squares fit to data. For non-rotational types, analogous relations map output (e.g., voltage in hot-wire or time-of-flight in ultrasonic) to speed through fitted polynomials or physical models. Wind speed is reported in standard units including meters per second (m/s) for scientific precision, knots (kt, where 1 m/s ≈ 1.944 kt) for and marine use, and (mph, where 1 m/s ≈ 2.237 mph), with conversions facilitating global interoperability. The provides a qualitative correlation, linking observed effects (e.g., direction at 0–1 Bft, ~0–1 m/s; whole trees in motion at 6 Bft, ~10.8–13.8 m/s) to speed ranges for estimation when instruments fail. While anemometers primarily measure speed as a scalar quantity (magnitude of ), full wind velocity as a vector incorporates direction, often via integrated vanes or multi-axis sensors like sonic types that resolve orthogonal components. Accuracy is influenced by threshold speed, the minimum detectable wind below which response is unreliable due to or (typically 0.2–0.5 m/s for modern cup anemometers), and stall speed, the upper limit where aerodynamic causes non-linearity or overspeeding (often >40 m/s, beyond linear range). These limits define the operational envelope, with thresholds causing underestimation in light s and stall leading to errors in gusts; calibration in wind tunnels mitigates but cannot eliminate them.

Historical Development

Early Origins

The earliest conceptual efforts to measure wind can be traced to ancient civilizations, though no surviving devices are known. The marked a shift toward more structured mechanical designs. In 1450, Italian architect invented the first known mechanical anemometer, featuring a swinging plate perpendicular to the whose angle of deflection indicated wind force. Advancements continued into the with empirical refinements. In 1667, English scientist developed pressure plate anemometers, consisting of a suspended metal plate or hemispherical cup that deflected under wind pressure, allowing for comparative measurements of force intensity. These designs quantified wind effects more systematically than prior iterations, often integrating with barometers for meteorological observations. Early anemometers, however, faced significant limitations: they provided mostly qualitative assessments rather than precise quantitative , suffered from mechanical vulnerabilities like and material wear, and operated without standardized scales, hindering consistent replication across users or locations. Such constraints restricted their utility to basic until later innovations introduced velocity-focused mechanisms.

Major Innovations

In 1775, Scottish physician James introduced a U-shaped tube anemometer, a pressure-based device using a manometer to measure pressure differences by the displacement in the tube facing the . Around 1850, Swedish admiral Johan Henrik Kreüger developed a pressure plate anemometer for Sweden's first meteorological network, enabling systematic force recordings at multiple stations. One of the pivotal advancements in anemometer design occurred in 1846 when Irish John Thomas Romney Robinson introduced the four-cup anemometer, featuring hemispherical cups mounted on horizontal arms attached to a vertical shaft, where the rotational speed of the cups was directly proportional to wind velocity. This innovation marked a shift toward more reliable mechanical measurement by leveraging aerodynamic drag differences between the cups facing into and away from the wind, enabling quantitative assessments at meteorological stations. In the early 20th century, refinements to cup anemometers addressed limitations in response time and torque variability. Canadian John Patterson developed the three-cup anemometer in 1926, reducing the number of s from four to improve sensitivity and startup at lower wind speeds while maintaining proportional rotation to velocity. This design was further enhanced in 1934 by researchers M. J. Brevoort and U. T. Joyner at the (NACA), who conducted tests on hemispherical and conical cups to minimize aerodynamic fluctuations and enhance low-speed performance through optimized cup shapes and arm configurations. The 1920s also saw the practical introduction of hot-wire anemometers, building on the theoretical foundation laid by L. V. King in , who derived equations for convective heat loss from fine wires in fluid flows, allowing velocity inference from cooling rates of electrically heated platinum filaments. These instruments excelled in measuring micro-scale in aerodynamic research, offering high-frequency response unsuitable for earlier mechanical designs. Mid-20th-century progress introduced non-contact optical and acoustic methods: ultrasonic anemometers emerged in the , using time-of-flight differences of pulses between transducers to compute vectors without moving parts, ideal for harsh environments. Similarly, laser Doppler anemometers gained prominence in the 1970s, employing Doppler shifts in scattered by particles in the flow for precise, three-dimensional velocity profiling in and field settings. Standardization efforts by the (WMO), established in 1950, formalized anemometer protocols in the 1950s, recommending cup anemometer placement at a standard 10-meter height above open terrain to ensure comparable global wind data free from local obstructions. The and brought a transition to digital electronics in anemometers, incorporating microprocessors for real-time , automated , and data logging, which improved accuracy and reduced mechanical wear in operational networks. In the , anemometer innovations have focused on integration rather than new core types, with post-2000 developments embedding sensors in (IoT) frameworks for remote monitoring in wind farms, enabling and transmission to optimize turbine performance. As of November 2025, no fundamentally novel anemometer categories have emerged, but IoT enhancements continue to enhance data reliability in large-scale deployments.

Velocity Anemometers

Cup Anemometers

Cup anemometers measure by detecting the rotational speed of hemispherical cups driven by the wind. The standard design consists of three or four hemispherical or conical cups mounted symmetrically on horizontal arms extending from a central vertical shaft, which rotates freely on low-friction bearings. These cups are typically spaced at equal angles—120 degrees for three-cup models and 90 degrees for four-cup models—to ensure omnidirectional response without dependence on . Modern constructions often employ materials such as molded or carbon composites for the cups and arms to minimize and enhance responsiveness. The operation relies on the aerodynamic torque imbalance created by the wind: the concave side of each cup experiences greater drag than the convex side, causing continuous rotation. In steady winds, the rotational frequency is linearly proportional to wind speed, expressed by the equation v=knv = k \cdot n, where vv is the wind speed in meters per second, nn is the rotational frequency in revolutions per second, and kk is the calibration factor specific to the anemometer, typically ranging from 0.4 to 0.5 m/s per revolution for common models. This factor kk is determined empirically through calibration in a wind tunnel, accounting for the geometry and the effective drag coefficient ratio between the cup faces, which approximates 2:1 in ideal conditions, leading to the wind speed being roughly half the tangential speed at the cup radius. The full derivation stems from balancing the torque from wind drag on the cups against rotational inertia and friction, resulting in a near-linear response above the starting threshold. In some cup anemometer designs, known as two-wire generator anemometers, the rotating cups drive a small DC or AC generator to produce a voltage proportional to wind speed. The output voltage is constant zero when the anemometer is not spinning (zero wind speed), because no electromotive force is generated without rotation. Key variants include the four-cup design, originally developed by Irish astronomer Thomas Robinson in 1846, which provides higher for reliable operation in moderate winds but has a higher starting threshold due to increased mass. In contrast, the three-cup configuration, introduced by Canadian inventor John Patterson in 1926, reduces overall inertia for improved low-speed startup and is now the predominant form in meteorological applications. Some hybrid designs incorporate direction-sensing elements without traditional cups, though these remain less common. Cup anemometers offer robustness for prolonged outdoor exposure, with minimal maintenance needs due to their mechanical simplicity and resistance to environmental factors like and moderate . However, they exhibit a starting threshold of approximately 0.5 m/s, below which rotation ceases, and are prone to overspeeding in turbulent gusts by up to 10-20% due to nonlinear aerodynamic effects at high speeds. The distance constant, a measure of response time, is typically 2-3 meters, meaning the anemometer reaches 63% of its final speed after the wind front travels this distance.

Vane Anemometers

Vane anemometers integrate sensing with speed measurement through a mechanical assembly featuring a tail vane and a forward-mounted . The tail vane, typically a lightweight , ensures yaw alignment by pivoting the instrument into the prevailing , positioning the perpendicular to the for optimal rotation. This design allows the device to capture both vector components of in a compact form. Modern iterations employ digital encoders, such as optical or Hall-effect sensors, to convert revolutions into electronic signals for precise data logging and transmission. During operation, wind imparts torque to the propeller blades once the assembly aligns with the flow, causing rotation at a frequency proportional to the wind velocity. The relationship between wind speed vv and rotation frequency rr follows the calibrated equation v=crv = c \cdot r, where cc represents the instrument constant derived from empirical testing. Calibration occurs in a wind tunnel, adjusting for variables like blade geometry, bearing friction, and density effects to maintain accuracy, often yielding linear responses over typical ranges with periodic recalibration to account for wear. Common variants encompass handheld units for HVAC assessments, offering portability and measurement ranges from approximately 0.4 to 30 m/s, and fixed stationary models for meteorological stations that endure prolonged exposure. Three-bladed propellers predominate in these designs, providing aerodynamic efficiency and rotational stability without excessive complexity. These instruments excel in providing simultaneous wind speed and direction data, enabling vector-resolved profiles essential for site-specific analyses. Drawbacks include delayed response to directional shifts from vane inertia, limiting utility in turbulent conditions, and a starting threshold around 1 m/s, where friction prevents reliable initiation of rotation. Vane anemometers entered aviation applications in the mid-20th century for ground-based wind monitoring at airfields, with designs incorporating furling mechanisms—such as hinged tails that feather at excessive speeds—to safeguard against overspeed damage during gusts. Vane anemometers are commercially available through online wholesale and retail platforms such as Alibaba and AliExpress. Alibaba offers B2B wholesale options from multiple suppliers, featuring various models including digital variants, with minimum order quantities (MOQ) often ranging from 1 to 100 pieces and prices typically from $10 to $200 per unit depending on specifications, quality, and order volume. AliExpress provides more retail-focused listings but also includes bulk and wholesale deals, with prices generally starting around $15 to $100 and options for purchasing multiple units at discounted rates.

Hot-Wire Anemometers

Hot-wire anemometers measure fluid through the convective cooling of a fine heated wire exposed to the flow. The sensor typically consists of a thin wire, made of or platinum-rhodium with a of 5 to 10 μm and of about 1 mm, stretched taut between two prongs and heated by passing an through it. The wire's resistance increases with , enabling precise control and measurement of its thermal state. These devices operate primarily in two modes: anemometry (CCA), where a fixed current is supplied and voltage fluctuations indicate cooling-induced resistance changes, or anemometry (CTA), where feedback electronics adjust the current to maintain a constant wire , with the required power serving as the signal. CTA is preferred for most applications due to its superior dynamic response to rapid flow fluctuations. The operating principle stems from the increased convective from the wire to the surrounding fluid as velocity rises, which cools the wire and necessitates more electrical power to sustain its temperature. This relationship was first theoretically established by L. V. King in 1914, building on earlier thermal convection studies and providing the foundation for hot-wire anemometry. King's derivation begins with the steady-state energy balance for the wire, assuming negligible end conduction losses for sufficiently long wires and ignoring at typical operating temperatures. The electrical power input equals the convective heat loss: I2Rw=hπdl(TwTf)I^2 R_w = h \cdot \pi d l \cdot (T_w - T_f) where II is the current, RwR_w is the wire resistance at temperature TwT_w, hh is the convective heat transfer coefficient, dd and ll are the wire diameter and length, and TfT_f is the fluid temperature. The heat transfer coefficient hh is nondimensionalized using the Nusselt number Nu=hdkfNu = \frac{h d}{k_f}, where kfk_f is the fluid thermal conductivity, leading to King's law: Nu=A+BRenNu = A + B \cdot Re^n Here, Re=UdνRe = \frac{U d}{\nu} is the Reynolds number based on flow velocity UU and fluid kinematic viscosity ν\nu, while AA, BB, and nn are constants determined empirically (King proposed n=0.5n = 0.5, but Collis and Williams refined it to approximately 0.45 for low Reynolds numbers in air flows). Substituting back, the power or voltage squared in CTA mode follows E2=a+bUnE^2 = a + b U^n, where aa and bb incorporate wire properties and overheat ratio. Calibration involves exposing the anemometer to a controlled field, such as in a low-speed or calibration jet, and recording the output signal (e.g., voltage EE in CTA) at multiple known velocities UU. The data are then fitted to form, often by plotting E2E^2 versus UU and using to determine aa, bb, and nn; this curve is stored for real-time velocity computation during measurements. Calibration must account for fluid properties like and , as they affect ReRe and , and is typically repeated periodically due to wire degradation. Variants of hot-wire anemometers include single-wire probes, which measure the velocity magnitude in one-dimensional or aligned flows by sensing total cooling, and crossed-wire arrays (X-wires), where two inclined wires (often at 90 degrees) detect differential cooling to resolve two orthogonal velocity components in two-dimensional flows. For three-dimensional velocity vectors, arrays with three or more slanted wires are employed, though they require complex to disentangle components. Hot-wire anemometers offer high-frequency response exceeding 1 kHz, enabling detailed measurements, and sensitivity to very low velocities down to 0.05 m/s. However, their thin wires are fragile and susceptible to breakage from mechanical shock or , while by or particulates alters and degrades accuracy, limiting use to clean, indoor environments like s rather than outdoor settings. Following King's theoretical work, practical hot-wire anemometers gained prominence in aerodynamic research, particularly for wind tunnel testing starting in the 1940s.

Laser Doppler Anemometers

Laser Doppler anemometers (LDAs) are optical instruments that measure fluid by detecting the Doppler shift in scattered from particles entrained in the flow. The technique relies on the principle that particles moving through a laser beam pattern experience a shift proportional to their component along the direction. Developed in the 1960s, LDAs provide non-intrusive measurements suitable for laboratory and controlled environments, particularly in and research. The foundational design of an LDA involves splitting a monochromatic beam, typically from a helium-neon , into two parallel beams using a and mirrors. These beams are then focused by lenses to intersect at a small θ\theta within the flow field, creating an interference fringe pattern where alternating bright and dark planes are spaced by d=λ2sin(θ/2)d = \frac{\lambda}{2 \sin(\theta/2)}, with λ\lambda as the . Tracer particles in the fluid, such as smoke or microspheres, cross these fringes and scatter light toward a . The scattered light from each beam exhibits a Doppler shift, but due to the differential configuration, the beat detected is the difference, given by fd=2vsin(θ/2)λf_d = \frac{2 v \sin(\theta/2)}{\lambda}, where vv is the component to the fringes. This fdf_d directly relates to via v=fdλ2sin(θ/2)v = \frac{f_d \lambda}{2 \sin(\theta/2)}, enabling precise computation from the measured Doppler . Signal processing in LDAs typically employs a or to capture the intensity-modulated scattered light, producing a Doppler burst signal. The frequency of this burst is analyzed using (FFT) or methods to extract fdf_d, with validation often based on particle arrival times or pedestal offsets for directionality. Early systems used spectrum analyzers, but modern setups incorporate digital signal processors for real-time validation and bias error correction, ensuring accurate velocity histograms even in turbulent flows. The technique was pioneered by Yeh and in 1964 using a reference-beam configuration for localized flow measurements. Variants of LDAs include forward-scatter and backward-scatter modes, distinguished by the collection position relative to the illumination. Forward-scatter detects light on the opposite side of the flow, offering higher signal-to-noise ratios for low-density seeding but requiring access to both sides of the test section; backward-scatter collects light from the same side, facilitating single-sided measurements in confined spaces like wind tunnels, though with reduced sensitivity. Systems can measure one, two, or three components: 1D setups use a single beam pair for axial , 2D adds an orthogonal pair for transverse components, and 3D employs multiple beam pairs with Bragg cells for shifting to resolve all components without directional . LDAs offer key advantages, including non-intrusive operation that avoids flow disturbance, high down to micrometers, and excellent for capturing fluctuations with accuracies typically better than ±0.1% of full scale. They excel in measuring instantaneous velocities over a wide range, from millimeters per second to supersonic speeds, making them ideal for detailed flow diagnostics. However, disadvantages include high cost due to precision and lasers, the necessity for seeding the flow with micron-sized particles to ensure sufficient (which may not suit clean or particle-free fluids), and sensitivity to optical misalignment or flow . The technology originated at NASA's (LaRC) in the mid-1960s, with practical differential Doppler systems developed by Foreman and colleagues in 1966 for gas and liquid flows. By the 1970s, LDAs were widely applied in aerospace research and development, including testing for aircraft and rocket propulsion, enabling precise validation of models.

Ultrasonic Anemometers

Ultrasonic anemometers measure and direction by calculating the time-of-flight differences of ultrasonic pulses propagated between pairs of transducers, enabling non-contact detection of wind vectors without mechanical components. The design features pairs of piezoelectric transducers arranged along orthogonal paths, typically separated by path lengths of 10-20 cm, that alternately emit and receive short ultrasonic pulses at frequencies ranging from 40 to 100 kHz. These paths are oriented to capture wind components in horizontal and, for three-dimensional models, vertical directions, allowing simultaneous measurement of and direction through vector resolution from multiple axes. In operation, wind alters the effective propagation: the pulse travels faster downstream and slower upstream relative to the wind direction, producing measurable time differences. The wind speed component vv along a path is derived from the equation v=L2cosϕ(1tu1td),v = \frac{L}{2 \cos \phi} \left( \frac{1}{t_u} - \frac{1}{t_d} \right), where LL is the fixed path length, tut_u and tdt_d are the upstream and downstream transit times, and ϕ\phi is the angle between the wind vector and the path axis; sound speed is accounted for via the average transit time to correct for temperature and humidity effects. Variants include two-dimensional (2D) configurations with transducers aligned for horizontal wind components and three-dimensional (3D) setups using additional orthogonal paths for full vector measurement, including vertical crucial for studies. An subtype employs continuous standing waves between transducers instead of pulsed transmission, enhancing sensitivity to low wind speeds and reducing power requirements through phase-shift detection rather than time-of-flight. Ultrasonic anemometers were first commercialized in the for meteorological , with the variant patented in the late to enable low-power, compact deployments in remote or battery-operated systems. Key advantages include the absence of moving parts, which eliminates and , and a rapid response of 10-50 Hz, permitting accurate capture of turbulent fluctuations and gusts in atmospheric studies. They also provide inherent virtual temperature measurements from sound speed variations. However, performance degrades in or due to acoustic signal by water droplets, and their higher manufacturing complexity results in elevated costs compared to traditional mechanical sensors.

Pressure Anemometers

Plate Anemometers

Plate anemometers measure by quantifying the drag or deflection produced by acting on a flat or curved surface, such as a plate, hemisphere, or . The design typically involves a lightweight plate or similar element suspended on a spring, pivot, or thread, allowing it to swing or compress in response to . The angle of deflection or the restoring required to maintain equilibrium is then measured to infer velocity. This approach relies on the principle that dynamic increases with the square of the speed, providing a direct mechanical indication without complex . The operation of a plate anemometer is governed by the aerodynamic drag force equation, Fd=12CdρAv2F_d = \frac{1}{2} C_d \rho A v^2, where FdF_d is the drag force, CdC_d is the drag coefficient (typically around 1.2 for a flat plate perpendicular to the flow), ρ\rho is air density, AA is the projected area of the plate, and vv is wind speed. This force causes the plate to deflect until balanced by a restoring mechanism, such as spring tension, with the deflection angle θ\theta proportional to v2v^2 under steady conditions. A vane often orients the plate into the wind for accurate perpendicular exposure. Air density ρ\rho influences the measurement, though corrections can account for variations. Early variants include the swinging-plate design invented by in 1450, featuring a disc suspended from a rotating axis that tilts under . Another variant, the pressure plate anemometer refined by Johan Henrik Kreüger around 1850, employed a flat plate with a vane for directional alignment and was integrated into early meteorological networks. The ping-pong ball anemometer, a portable educational using a lightweight suspended by a thread, measures deflection with a protractor and has been popular in science since the mid-20th century. These were widely used in early for their straightforward construction. Plate anemometers offer advantages in simplicity and low cost, requiring minimal materials and no power source, making them suitable for basic field or educational applications. However, their response is inherently nonlinear due to the quadratic dependence on , complicating for precise measurements, and they are sensitive to , which can cause erratic deflections and reduce accuracy in unsteady flows.

Tube Anemometers

Tube anemometers, particularly the , measure fluid velocity by detecting the difference between total and static within a flowing medium. The device consists of a forward-facing that captures total , which includes both static and dynamic components, and separate static ports that sense ambient perpendicular to the flow. This pressure differential, denoted as Δp, is typically measured using a manometer for low-speed applications or a for higher-precision or dynamic environments. The operation relies on , which relates , velocity, and density in fluid flow. For incompressible flows, the velocity v is calculated as
v=2Δpρv = \sqrt{\frac{2 \Delta p}{\rho}}
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