An analysis is presented for the response of a pitot tube placed in an unsteady flow and connected to a liquid manometer. The error in time mean total pressure recorded by the system is negligible unless its natural frequency is close to that of the flow oscillations or unless the density of the measuring fluid is close to that of the fluid whose total pressure is being measured.
The results of the analysis are broadly confirmed by experiment.
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References
1.
GoldsteinS. ‘A note on the measurement of total head and static pressure in a turbulent stream’, Proc. R. Soc.1936A155, 570–571.
2.
BanksP. J.HinwoodJ. B.PollockT. J. ‘The behaviour of an over-damped non-uniform manometer’, Proc. Conf. Hydraulics Fluid Mech. 1968 (Institution of Engineers, Australia, Sydney).
3.
VoasP.WoodsW. A. ‘Measurement of total head pressure in an unsteady flow of a compressible fluid in a duct’, Proc. Instn mech. Engrs1965–66180 (Pt 3G), 17–26.
4.
DunhamJ. ‘Probe for measuring fluctuating flow in axial compressors’, J. scient. Instrum.196239 (7), 328.
5.
TabackI. ‘The response of pressure measuring systems to oscillating pressures’, Tech. Memo. nam. advis. Comm. Aeronaut., Wash. 1819, 1949.
6.
BerghH.TijdemanH. ‘Theoretical and experimental results for the dynamic response of pressure measuring systems’, N. L. R. Amsterdam, NLR-TRF 238, 1965.
7.
LambH.Hydrodynamics1932 (Cambridge University Press).
8.
BartonD. ‘Taylor series method for ordinary differential equations—an evaluation’, Proc. Symp. Mathematical software1970 (Purdue University, Indiana).
9.
StreeterV. L.Fluid dynamics1948 (McGraw-Hill Book Co. Inc., New York).