Averaging Pitot Tube Pdf Free

The SERIES DS In-Line Flow Sensors are two Series of averaging Pitot tubes for compatible gases and liquids that provide accurate and convenient flow rate sensing, for schedule 40 pipe, when purchased with suitable differential pressure gage with appropriate range. The Series DS-300 Averaging Flow Sensors are designed to be inserted in the pipeline through a compression fitting and available.

1. Averaging Pitot Tube Flow Meter

A pitot (/ˈpiːtoʊ/PEE-toh) tube, also known as pitot probe, is a flow measurement device used to measure fluidflow velocity. The pitot tube was invented by the French engineer Henri Pitot in the early 18th century^[1] and was modified to its modern form in the mid-19th century by French scientist Henry Darcy.^[2] It is widely used to determine the airspeed of an aircraft, water speed of a boat, and to measure liquid, air and gas flow velocities in certain industrial applications.

Theory of operation[edit]

The basic pitot tube consists of a tube pointing directly into the fluid flow. As this tube contains fluid, a pressure can be measured; the moving fluid is brought to rest (stagnates) as there is no outlet to allow flow to continue. This pressure is the stagnation pressure of the fluid, also known as the total pressure or (particularly in aviation) the pitot pressure.

The measured stagnation pressure cannot itself be used to determine the fluid flow velocity (airspeed in aviation). However, Bernoulli's equation states:

Stagnation pressure = static pressure + dynamic pressure

Which can also be written

${\displaystyle p_t=p_s+\left(\frac{\rho u^2}{2}\right).}$

Solving that for flow velocity gives

${\displaystyle u=\sqrt{\frac{2(p_t-p_s)}{\rho }},}$

where

• ${\displaystyle u}$ is the flow velocity;
• ${\displaystyle p_t}$ is the stagnation or total pressure;
• ${\displaystyle p_s}$ is the static pressure;
• and ${\displaystyle \rho }$ is the fluid density.

NOTE: The above equation applies only to fluids that can be treated as incompressible. Liquids are treated as incompressible under almost all conditions. Gases under certain conditions can be approximated as incompressible. See Compressibility.

The dynamic pressure, then, is the difference between the stagnation pressure and the static pressure. The dynamic pressure is then determined using a diaphragm inside an enclosed container. If the air on one side of the diaphragm is at the static pressure, and the other at the stagnation pressure, then the deflection of the diaphragm is proportional to the dynamic pressure.

In aircraft, the static pressure is generally measured using the static ports on the side of the fuselage. The dynamic pressure measured can be used to determine the indicated airspeed of the aircraft. The diaphragm arrangement described above is typically contained within the airspeed indicator, which converts the dynamic pressure to an airspeed reading by means of mechanical levers.

Instead of separate pitot and static ports, a pitot-static tube (also called a Prandtl tube) may be employed, which has a second tube coaxial with the pitot tube with holes on the sides, outside the direct airflow, to measure the static pressure.^[3]

If a liquid column manometer is used to measure the pressure difference ${\displaystyle \mathrm{\Delta }p\equiv p_t-p_s}$,

${\displaystyle \mathrm{\Delta }h=\frac{\mathrm{\Delta }p}{{\rho }_{l}g},}$

where

• ${\displaystyle \mathrm{\Delta }h}$ is the height difference of the columns;
• ${\displaystyle {\rho }_l}$ is the density of the liquid in the manometer;
• g is the standard acceleration due to gravity.

Therefore,

${\displaystyle u=\sqrt{\frac{2\mathrm{\Delta }h{\rho }_{l}g}{\rho }}.}$

Aircraft[edit]

A pitot-static system is a system of pressure-sensitive instruments that is most often used in aviation to determine an aircraft's airspeed, Mach number, altitude, and altitude trend. A pitot-static system generally consists of a pitot tube, a static port, and the pitot-static instruments.^[4] Errors in pitot-static system readings can be extremely dangerous as the information obtained from the pitot static system, such as airspeed, is potentially safety-critical.

Several commercial airline incidents and accidents have been traced to a failure of the pitot-static system. Examples include Austral Líneas Aéreas Flight 2553, Northwest Airlines Flight 6231, Birgenair Flight 301 and one of the two X-31s.^[5] The French air safety authority BEA said that pitot tube icing was a contributing factor in the crash of Air France Flight 447 into the Atlantic Ocean.^[6] In 2008 Air Caraïbes reported two incidents of pitot tube icing malfunctions on its A330s.^[7]

Birgenair Flight 301 had a fatal pitot tube failure which investigators suspected was due to insects creating a nest inside the pitot tube; the prime suspect is the black and yellow mud dauber wasp.

Aeroperú Flight 603 had a pitot-static system failure due to the cleaning crew leaving the static port blocked with tape.

Industry applications[edit]

In industry, the flow velocities being measured are often those flowing in ducts and tubing where measurements by an anemometer would be difficult to obtain. In these kinds of measurements, the most practical instrument to use is the pitot tube. The pitot tube can be inserted through a small hole in the duct with the pitot connected to a U-tube water gauge or some other differential pressure gauge for determining the flow velocity inside the ducted wind tunnel. One use of this technique is to determine the volume of air that is being delivered to a conditioned space.

The fluid flow rate in a duct can then be estimated from:

Volume flow rate (cubic feet per minute) = duct area (square feet) × flow velocity (feet per minute)

Volume flow rate (cubic meters per second) = duct area (square meters) × flow velocity (meters per second)

In aviation, airspeed is typically measured in knots.

In weather stations with high wind speeds, the pitot tube is modified to create a special type of anemometer called pitot tube static anemometer.^[8]

See also[edit]

References[edit]

Notes

1. ^Pitot, Henri (1732). 'Description d'une machine pour mesurer la vitesse des eaux courantes et le sillage des vaisseaux'(PDF). Histoire de l'Académie royale des sciences avec les mémoires de mathématique et de physique tirés des registres de cette Académie: 363–376. Retrieved 2009-06-19.
2. ^Darcy, Henry (1858). 'Note relative à quelques modifications à introduire dans le tube de Pitot'(PDF). Annales des Ponts et Chaussées: 351–359. Retrieved 2009-07-31.
3. ^'How Aircraft Instruments Work.'Popular Science, March 1944, pp. 116.
4. ^Willits, Pat, ed. (2004) [1997]. Guided Flight Discovery - Private Pilot. Abbot, Mike Kailey, Liz. Jeppesen Sanderson. pp. 2–48–2–53. ISBN0-88487-333-1.
5. ^NASA Dryden news releases. (1995)
6. ^'Training flaws exposed in Rio-Paris crash report'. Reuters. 5 July 2012. Retrieved 5 October 2012.
7. ^Daly, Kieran (11 June 2009). 'Air Caraibes Atlantique memo details pitot icing incidents'. Flight International. Retrieved 19 February 2012.
8. ^'Instrumentation: Pitot Tube Static Anemometer, Part 1'. Mount Washington Observatory. Retrieved 14 July 2014.

Bibliography

• Kermode, A.C. (1996) [1972]. Mechanics of Flight. Barnard, R.H. (Ed.) and Philpott, D.R. (Ed.) (10th ed.). Prentice Hall. pp. 63–67. ISBN0-582-23740-8.
• Pratt, Jeremy M. (2005) [1997]. The Private Pilot's Licence Course: Principles of Flight, Aircraft General Knowledge, Flight Performance and Planning (3rd ed.). gen108–gen111. ISBN1-874783-23-3.
• Tietjens, O.G. (1934). Applied Hydro- and Aeromechanics, based on lectures of L. Prandtl, Ph.D. Dove Publications, Inc. pp. 226–239. ISBN0-486-60375-X.
• Saleh, J.M. (2002). Fluid Flow Handbook. McGraw-Hill Professional.

External links[edit]

• How 18th Century Technology Could Down an Airliner (wired.com)

A Rosemount Annubar primary element is an averaging Pitot tube similar to a single point pitot tube used to measure the flow of gas, steam, or liquid in a pipe. An Annubar primary element or Annubar averaging Pitot tube provides better accuracy than single point Pitot tubes.

The Pitot tube measures the difference between the static pressure and the flowing pressure of the media in the pipe. The volumetric flow is calculated from that difference using Bernoulli's principle and taking into account the pipe inside diameter.^[1]

The biggest difference between an Annubar averaging Pitot tube and a Pitot tube is that an Annubar averaging Pitot tube takes multiple samples across a section of a pipe or duct. In this way, it averages the differential pressures encountered accounting for variations in flow across the section. A Pitot tube will give a similar reading if the tip is located at a point in the pipe cross section where the flowing velocity is close to the average velocity.

The T-Shape cross section of the Rosemount Annubar primary element allows for increased signal strength and reduced signal noise compared to other averaging pitot tube shapes.

Annubar is a registered trade name with Emerson Process Management / Rosemount.^[2]

An Annubar averaging Pitot tube is economical to install and has negligible pressure drop but it is unsuitable when dirty or sticky fluids are used.

Advantages of Averaging Pitot Tube[edit]

The following are the advantages of Averaging Pitot Tube are as follows :

• Simple and inexpensive,
• long term accuracy within acceptable limits over wide range of flow,
• low permanent pressure loss
• minimum operating cost makes it ideal choice of any design engineer.

References[edit]

1. ^Perry, Robert H., Don W. Green. 'Perry's Chemical Engineer's Handbook, Seventh Edition'. pages 10-8 to 10-9. McGraw Hill. 1997
2. ^Rosemount Annubar Flowmeter Series

Averaging Pitot Tube Flow Meter