Review of Hot-Wire Anemometry Techniques and the Range of their Applicability for Various Flows

A review of hot-wire anemometry was made to present examples of past work done in the field and to describe some of the recent and important developments in this extensive and ever expanding field. The review considered the flow regimes and flow fields in which measurements were made, including both mean flow and fluctuating measurements. Examples of hot-wire measurements made in the various flow regimes and flow fields are presented. Comments are made concerning the constant current and constant temperature anemometers generally in use and the recently developed constant voltage anemometer. Examples of hot-wire data obtained to substantiate theoretical results are presented. Some results are presented to compare hot-wire data with results obtained using other techniques. The review was limited to wires mounted normal to the flow in non-mixing gases. † Currently Engineer at Computer Science Corporation, Laurel, MD 20707 Also, Consulting Research Engineer at Advanced Engineering, Yorktown, VA 23693 NOMENCLATURE a a 1 4 − constants in equation (47) a speed of sound A B , constants in equation (24) A A 1 3 − constants in equation (18) b b 1 3 − order of q in equation (47) B B 1 5 − constants in equation (19) ( ) ′ A To Lkt ′ Aw overheat parameter, ( ) 2 ∂ ∂ log log R I w h ( ) ′ B To 2 L k c r t p w π cp specific heat at constant pressure cv specific heat at constant volume cw specific heat of wire d wire diameter of mesh ( ) d dt rate of change of quantity ( ) with respect to time dc diameter of cylinder di diameter of jet dw diameter of wire ′ e instantaneous voltage across the wire E mean voltage across the wire Eout anemometer output voltage ′ E finite-circuit parameter, ( ) ( ) 1 1 2 − + ′ ε ε Aw f frequency

[1]  Collis Dc,et al.  Two-dimensional convection from heated wires at low Reynolds numbers , 1959, Journal of Fluid Mechanics.

[2]  Eli Reshotko,et al.  BOUNDARY LAYER STABILITY AND TRANSITION , 1976 .

[3]  Maninder S. Uberoi Effect of Wind-Tunnel Contraction on Free-Stream Turbulence , 1956 .

[4]  J. Laufer,et al.  New Trends in Experimental Turbulence Research , 1975 .

[5]  Ron F. Blackwelder,et al.  Pattern Recognition of Coherent Eddies , 1978 .

[6]  R. Azad,et al.  Behaviour of Separation Bubble with Different Roughness Elements at the Leading Edge of a Flat Plate , 1990 .

[7]  James C Laurence,et al.  Intensity, Scale, and Spectra of Turbulence in Mixing Region of Free Subsonic Jet , 1956 .

[8]  H. L. Dryden,et al.  THE EFFECT OF WIRE GAUZE ON SMALL DISTURBANCES IN A UNIFORM STREAM , 1949 .

[9]  B. Gowda,et al.  Studies on the mixing of two non-axial jets in a confined passage — turbulence characteristics , 1992 .

[10]  James C. Laurence,et al.  AUXILIARY EQUIPMENT AND TECHNIQUES FOR ADAPTING THE CONSTANT-TEMPERATURE HOT-WIRE ANEMOMETER TO SPECIFIC PROBLEMS IN AIR-FLOW MEASUREMENTS , 1952 .

[11]  M. S. Chong,et al.  On the mechanism of wall turbulence , 1982, Journal of Fluid Mechanics.

[12]  Stephen P. Wilkinson,et al.  Stability experiments in the flow over a rotating disk , 1985 .

[13]  J.-D. Vagt Hot-wire probes in low speed flow , 1979 .

[14]  Edward J. Powers,et al.  Experiments on the role of amplitude and phase modulations during transition to turbulence , 1982, Journal of Fluid Mechanics.

[15]  M. E. Goldstein,et al.  The evolution of Tollmien–Sclichting waves near a leading edge , 1983, Journal of Fluid Mechanics.

[16]  Aamir Shabbir,et al.  Polynomial calibrations for hot wires in thermally varying flows , 1989 .

[17]  S. Corrsin,et al.  Further experiments on the flow and heat transfer in a heated turbulent air jet , 1947 .

[18]  W. Tollmien,et al.  Über die Entstehung der Turbulenz. 1. Mitteilung , 1928 .

[19]  Anthony Demetriades,et al.  Probes for Multivariant Flow Characteristics , 1978 .

[20]  M. Ziegler,et al.  The construction of a hot wire anemometer with linear scale and negligible lag , 1934 .

[21]  V. A. Sandborn Experimental evaluation of momentum terms in turbulent pipe flow , 1955 .

[22]  F. K. Owen,et al.  Dynamic flow quality measurements in the Langley Low Turbulence Pressure Tunnel , 1984 .

[23]  Hassan M. Nagib,et al.  Analysis of Temperature Compensating Circuits for Hot-Wires and Hot-Films. , 1977 .

[24]  A. Laderman Hypersonic viscous flow over a slender cone. II - Turbulence structure of the boundary layer , 1974 .

[25]  J. Lagraff Observations of Hypersonic Boundary-Layer Transition Using Hot Wire Anemometry , 1972 .

[26]  Kenneth L. Suder,et al.  Experimental Study of Bypass Transition in a Boundary Layer. M.S. Thesis , 1988 .

[27]  Peter Bradshaw,et al.  An introduction to turbulence and its measurement , 1971 .

[28]  J. Dussauge,et al.  Compressibility effects on the structure of supersonic mixing layers: experimental results , 1994, Journal of Fluid Mechanics.

[29]  V. A. Sandborn Resistance temperature transducers , 1972 .

[30]  W. G. Spangenberg Heat-loss Characteristics of Hot-wire Anemometers at Various Densities in Transonic and Supersonic Flow , 1955 .

[31]  P. S. Klebanoff,et al.  Correlation Measurement in a Turbulent Flow using High‐Speed Computing Methods , 1967 .

[32]  J. Laufer,et al.  Measurements of heat transfer from fine wires in supersonic flows , 1956, Journal of Fluid Mechanics.

[33]  Murray S. Korman,et al.  Fundamentals of hot wire anemometry , 1986 .

[34]  S. Corrsin,et al.  Extended Applications of the Hot‐Wire Anemometer , 1947 .

[35]  R. J. Goldstein,et al.  Fluid Mechanics Measurements , 1983 .

[36]  J. Kendall,et al.  Experimental study of disturbances produced in a pre-transitional laminar boundary layer by weak freestream turbulence , 1985 .

[37]  F. Champagne The fine-scale structure of the turbulent velocity field , 1978, Journal of Fluid Mechanics.

[38]  P. Stainback,et al.  Reinvestigation of Hot-Wire Anemometry Applicable to Subsonic Compressible Flows Using Fluctuation Diagrams , 1995 .

[39]  V. Lebiga,et al.  Hot-wire measurements in compressible flows , 1989, International Congress on Instrumentation in Aerospace Simulation Facilitie.

[40]  Ron F. Blackwelder,et al.  On the wall structure of the turbulent boundary layer , 1976, Journal of Fluid Mechanics.

[41]  F. N. Frenkiel Effects of Wire Length in Turbulence Investigations with a Hot-Wire Anemometer * , 1954 .

[42]  P. Davies,et al.  Heat transfer from electrically heated cylinders , 1964, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[43]  Zellman Warhaft,et al.  An experimental study of the decay of temperature fluctuations in grid-generated turbulence , 1978, Journal of Fluid Mechanics.

[44]  J. Dussauge,et al.  Hot-wire measurements in turbulent transonic flows , 1992 .

[45]  P. S. Klebanoff,et al.  The three-dimensional nature of boundary-layer instability , 1962, Journal of Fluid Mechanics.

[46]  F. Champagne The Temperature Sensitivity of Hot Wires , 1978 .

[47]  Ira H Abbott,et al.  The Design of Low-turbulence Wind Tunnels , 1949 .

[48]  J. Laufer,et al.  The Structure of Turbulence in Fully Developed Pipe Flow , 1953 .

[49]  H. J. Obremski,et al.  Transition in oscillating boundary layer flows , 1967, Journal of Fluid Mechanics.

[50]  Herman H. Lowell Design and applications of hot-wire anemometers for steady-state measurements at transonic and supersonic airspeeds , 1950 .

[51]  J. Kendall Boundary layer receptivity to freestream turbulence , 1990 .

[52]  C. W. Atta Multi-Channel Measurements and High-Order Statistics , 1978 .

[53]  F. M. Sauer Forced Convection Heat Transfer from Horizontal Cylinders in a Rarefied Gas , 1953 .

[54]  A. J. Laderman,et al.  Mean and fluctuating flow measurements in the hypersonic boundary layer over a cooled wall , 1974, Journal of Fluid Mechanics.

[55]  C. Forbes Dewey,et al.  Hot-wire Measurements in Low Reynolds Number Hypersonic Flows , 1961 .

[56]  L. Baldwin Slip-flow Heat Transfer from Cylinders in Subsonic Airstreams , 1958 .

[57]  P. Stainback,et al.  A comparison of calibration techniques for hot-wires operated in subsonic compressible slip flows , 1992 .

[58]  P. Davies Structure of turbulence , 1973 .

[59]  W Tollmien,et al.  General instability criterion of laminar velocity distributions , 1936 .

[60]  J. Kaimal,et al.  Spectral Characteristics of Surface-Layer Turbulence , 1972 .

[61]  A. Smits,et al.  Simultaneous measurement of velocity and temperature fluctuations in the boundary layer of a supersonic flow , 1993 .

[62]  D. Bershader,et al.  Hot-wire accuracy in supersonic turbulence from comparisons with laser-induced fluorescence , 1988 .

[63]  E. J. Hopfinger,et al.  Measurements of internal intermittency and dissipation correlations in fully developed turbulence , 1978 .

[64]  S. Corrsin,et al.  Turbulence: Experimental Methods , 1963 .

[65]  J. C. Kent,et al.  Measurement of intake valve/cylinder boundary flows using a multiple orientation hot-wire technique , 1988 .

[66]  C. Horstman,et al.  Hypersonic transitional boundary layers. , 1972 .

[67]  I. E. Beckwith,et al.  Supersonic and hypersonic quiet tunnel technology at NASA Langley , 1992 .

[68]  H. L. Dryden,et al.  The measurement of fluctuations of air speed by the hot-wire anemometer , 1930 .

[69]  G. Charnay,et al.  Hot-wire and hot-film anemometry and conditional measurements: A report on Euromech 132 , 1981, Journal of Fluid Mechanics.

[70]  J. Lumley,et al.  Processing of Random Signals , 1978 .

[71]  W. Ng,et al.  Experimental comparison of two hot-wire techniques in supersonic flow , 1989 .

[72]  C. D. Harris,et al.  Flow quality measurements for the Langley 8-foot transonic pressure tunnel LFC experiment , 1989 .

[73]  L. Fulachier Hot-Wire Measurements in Low Speed Heated Flow , 1978 .

[74]  G. B. Schubauer,et al.  Laminar-boundary-layer oscillations and transition on a flat plate , 1947 .

[75]  V. Lebiga,et al.  Measurements of fluctuations for high subsonic velocities using a hot-wire anemometer , 1988 .

[76]  H. Fiedler,et al.  On Data Acquisition in Heated Turbulent Flows , 1978 .

[77]  A. J. Reynolds,et al.  The distortion of turbulence by irrotational plane strain , 1968, Journal of Fluid Mechanics.

[78]  S. Corrsin,et al.  Investigation of Flow in an Axially Symmetrical Heated Jet of Air , 1943 .

[79]  F. Moore,et al.  Unsteady Oblique Interaction of a Shock Wave With a Plane Disturbance , 1954 .

[80]  J. D. Brooks,et al.  A comparison of experimental and theoretical turbulence reduction from screens, honeycomb and honeycomb-screen combinations , 1981 .

[81]  Albert E. von Doenhoff,et al.  The Langley Two-dimensional Low-turbulence Pressure Tunnel , 1947 .

[82]  William C. Rose,et al.  Turbulence Measurement in Transonic Flow , 1977 .

[83]  J. C. Hardin,et al.  Introduction to time series analysis , 1986 .

[84]  A. Nayfeh,et al.  Nonparallel stability of boundary layers with pressure gradients and suction , 1977 .

[85]  D. A. Johnson,et al.  A study of shock-wave turbulent boundary layer interaction using laser velocimeter and hot-wire anemometer techniques , 1974 .

[86]  L. Mack Linear Stability Theory and the Problem of Supersonic Boundary- Layer Transition , 1975 .

[87]  J. Kendall Wind Tunnel Experiments Relating to Supersonic and Hypersonic Boundary-Layer Transition , 1974 .

[88]  A. L. Klein,et al.  The Effect of Turbulence: An Investigation of Maximum Lift Coefficient and Turbulence in Wind Tunnels and in Flight , 1933 .

[89]  Edward J Kerschen,et al.  Boundary layer receptivity , 1989 .

[90]  A. V. Smol’yakov,et al.  Measurement of Turbulent Fluctuations , 1983 .

[91]  Y. Pao Structure of Turbulent Velocity and Scalar Fields at Large Wavenumbers , 1965 .

[92]  P. Stainback,et al.  Fluctuation diagrams for hot-wire anemometry in subsonic compressible flows , 1991 .

[93]  Y. Kohama,et al.  Development and Interaction of Instabilities in the Crossflow Field , 1990 .

[94]  A. Demetriades,et al.  Hot‐wire measurements of hypersonic boundary‐layer turbulence , 1973 .

[95]  J. M. Cimbala,et al.  A direct hot-wire calibration technique to account for ambient temperature drift in incompressible flow , 1990 .

[96]  T. Vrebalovich,et al.  Grid turbulence at large Reynolds numbers , 1966, Journal of Fluid Mechanics.

[97]  R. W. Miksad,et al.  Measurements of nonlinear interactions during natural transition of a symmetric wake , 1983 .

[98]  L. Hasse,et al.  Hot Wire and Hot Film Anemometers , 1980 .

[99]  Zellman Warhaft,et al.  An experimental study of the effect of uniform strain on thermal fluctuations in grid-generated turbulence , 1980, Journal of Fluid Mechanics.

[100]  A. E. Perry,et al.  Hot-Wire Anemometry , 1982 .

[101]  P. S. Klebanoff,et al.  Characteristics of turbulence in a boundary layer with zero pressure gradient , 1955 .

[102]  I. Kidron The Signal-to-Noise Ratios of Constant-Current and Constant-Temperature Hot-Wire Anemometers , 1967 .

[103]  R. A. Glatman Interaction of shock waves with small perturbations , 1974 .

[104]  V. A. Sandborn A review of turbulence measurements in compressible flow , 1974 .

[105]  V. A. Sandborn,et al.  Heat Transfer From Transverse and Yawed Cylinders in Continuum, Slip, and Free Molecule Air Flows , 1960 .

[106]  L. Mack A numerical method for the prediction of high-speed boundary-layer transition using linear theory , 1975 .

[107]  G. S. Patterson,et al.  Numerical study of pressure and velocity fluctuations in nearly isotropic turbulence , 1978, Journal of Fluid Mechanics.

[108]  M. Kostka,et al.  On the effects of fluid temperature on hot wire characteristics , 1992 .

[109]  Julius S. Bendat,et al.  Engineering Applications of Correlation and Spectral Analysis , 1980 .

[110]  R. Kimmel,et al.  On hypersonic boundary-layer stability , 1992 .

[111]  J. Laufer,et al.  Stability and transition of a supersonic laminar boundary layer on an insulated flat plate , 1960, Journal of Fluid Mechanics.

[112]  Decay of Anisotropic Turbulence , 1973 .

[113]  Peter Freymuth,et al.  Spectra of Turbulence in Wakes behind Circular Cylinders , 1969 .

[114]  P. Stainback,et al.  Preliminary measurements of velocity, density and total temperature fluctuations in compressible subsonic flow , 1983 .

[115]  L. Weinstein,et al.  Hot-wire anemometry in hypersonic helium flow , 1974 .

[116]  Parviz Moin,et al.  The structure of the vorticity field in turbulent channel flow. Part 1. Analysis of instantaneous fields and statistical correlations , 1985, Journal of Fluid Mechanics.

[117]  P. Maccready ATMOSPHERIC TURBULENCE MEASUREMENTS AND ANALYSIS , 1953 .

[118]  L. Mack,et al.  Transition prediction and linear stability theory , 1977 .

[119]  J. G. Spangler,et al.  Effects of freestream disturbances on boundary-layer transition. , 1968 .

[120]  Theodore H. Okiishi,et al.  Measurement of the Periodic Variation of Turbomachine Flow Fields , 1978 .

[121]  Grid turbulence in air and water , 1979 .

[122]  T. Alziary de Roquefort,et al.  Determination and optimization of frequency response of constant temperature hot‐wire anemometers in supersonic flows , 1980 .

[123]  D. Dosanjh Use of the Hot‐Wire Anemometer as a Triggering and Timing Device for Wave Phenomena in a Shock Tube , 1955 .

[124]  G. B. Schubauer,et al.  Aerodynamic Characteristics of Damping Screens , 1950 .

[125]  M. Sokolov,et al.  The ladder probe: reverse flow measurements with a hot-wire rake , 1992 .

[126]  P. S. Klebanoff,et al.  Higher‐Order Correlations in a Turbulent Field , 1967 .

[127]  Anthony Demetriades Laminar Boundary Layer Stability Measurements at Mach 7 Including Wall Temperature Effects , 1977 .

[128]  J. Wyngaard,et al.  Measurement of small-scale turbulence structure with hot wires , 1968 .

[129]  G. R. Sarma,et al.  A new approach to high-speed flow measurements using constant voltage anemometry , 1992 .

[130]  H. L. Dryden,et al.  Effect of turbulence in wind-tunnel measurements , 1931 .

[131]  Derek Bradley,et al.  Hot wire anemometer calibration for measurements of small gas velocities , 1972 .

[132]  J. Laufer,et al.  Aerodynamic noise in supersonic wind tunnels , 1961 .

[133]  A. Smits,et al.  Constant temperature hot-wire anemometer practice in supersonic flows , 1983 .

[134]  Israel J Wygnanski,et al.  Some measurements in the self-preserving jet , 1969, Journal of Fluid Mechanics.

[135]  Aa Townsend The Fully Developed Wake of a Circular Cylinder , 1949 .

[136]  H. H. Bruun Interpretation of a hot wire signal using a universal calibration law , 1971 .

[137]  Kenneth F. Stetson,et al.  Laminar boundary layer stability experiments on a cone at Mach 8. I - Sharp cone , 1983 .