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Effect of wire separation on X-probe measurements in a turbulent flow

Published online by Cambridge University Press:  26 April 2006

Y. Zhu
Affiliation:
Department of Mechanical Engineering, University of Newcastle, N.S.W., 2308, Australia
R. A. Antonia
Affiliation:
Department of Mechanical Engineering, University of Newcastle, N.S.W., 2308, Australia

Abstract

The effect of the separation between hot wires in a crossed wire or X-probe on Reynolds stress measurements has been studied analytically and experimentally. Wyn-gaard's (1968) spectral analysis, which assumes isotropic turbulence, has been modified to include the effect of the tangential velocity component and possible asymmetries of the probe. The relaxation of the assumption of isotropy to one of homogeneity allows corrections to be made to Reynolds stress measurements obtained when the separation between the wires is in the spanwise direction. Measurements with two inclined hot wires in the central region of a fully developed turbulent channel flow provide reasonable support for the modified analysis. In the anisotropic wall region, the measurements provide reasonable support for the correction ratios which have been derived by assuming that turbulence is homogeneous in a plane parallel to the wall.

Type
Research Article
Copyright
© 1995 Cambridge University Press

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References

Andreopoulos, J. 1983 Improvements of the performance of triple hot wire probes. Rev. Sci. Instrum. 54, 733740.Google Scholar
Antonia, R. A. 1991 Direct numerical simulations and hot wire experiments : A possible way ahead? Monte Verita Colloquium on Turbulence, Ascona, Switzerland.
Antonia, R. A., Browne, L. W. B. & Chambers, A. J. 1984 On the spectrum of the transverse derivatives of the streamwise velocity in a turbulent flow. Phys. Fluids 27, 2628.Google Scholar
Antonia, R. A., Browne, L. W. B. & Shah, D. A. 1988 a Characteristics of vorticity fluctuations in a turbulent wake. J. Fluid Mech. 189, 349365.Google Scholar
Antonia, R. A. & Kim, J. 1992 Isotropy of small scale turbulence. CTR Summer School.
Antonia, R. A. & Kim, J. 1993 Isotropy of the small-scales of turbulence at low Reynolds number. J. Fluid Mech. 251, 219238.Google Scholar
Antonia, R. A., Shah, D. A. & Browne, L. W. B. 1988 b Dissipation and vorticity spectra in a turbulent wake. Phys. Fluids 31, 18051807.Google Scholar
Antonia, R. A., Teitel, M., Kim, J. & Browne, L. W. B. 1992 Low-Reynolds-number effects in a fully developed turbulent channel flow. J. Fluid Mech. 236, 579605.Google Scholar
Antonia, R. A., Zhu, Y. & Kim, J. 1993 On the measurement of lateral velocity derivatives in turbulent flows. Expts. Fluids 15, 6569.Google Scholar
Batchelor, G. K. 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.
Bremhorst, K. 1972 The effect of wire length and separation on X-array hot-wire anemometer measurements. IEEE Trans. Instrum. Measurement IM-21, 244248.Google Scholar
Browne, L. W. B., Antonia, R. A. & Shah, D. A. 1988 Selection of wires and wire spacing for X-wires. Expts. Fluids 6, 286288.Google Scholar
Bruun, H. H. 1972 Hot wire data corrections in low and in high turbulence intensity flows. J. Phys. E: Sci. Instrum. 5, 812818.Google Scholar
Bruun, H. H. & Tropea, C. 1985 The calibration of inclined hot-wire probes. J. Phys. E: Sci. Instrum. 18, 405413.Google Scholar
Champagne, F. H., Sleicher, C. A. & Wehrman, O. H. 1967 Turbulence measurements with inclined hot-wires. J. Fluid Mech. 28, 153175.Google Scholar
Hinze, J. O. 1959 Turbulence. McGraw-Hill.
Hishida, M. & Nagano, Y. 1988 Turbulence measurements with symmetrically bent V-shaped hot-wires. Part 1 : Principles of operation. Trans. ASME I: J. Fluids Engng 110, 264269Google Scholar
Hunt, J. C. R., Moin, P., Moser, R. D. & Spalart, P. R. 1987 Self similarity of two point correlations in wall bounded turbulent flows. Proc. Summer Program, Center for Turbulence Research, Stanford University/NASA-Ames, pp. 2536.
Jörgensen, F. E. 1971 Directional sensitivity of wire and fiber-film probes. DISA Information 11, 3137.Google Scholar
Kawall, J. G., Shokr, M. & Keffer, J. F. 1983 A digital technique for the simultaneous measurement of streamwise and lateral velocities in turbulent flows. J. Fluid Mech. 133, 83112.Google Scholar
Kim, J., Moin, P. & Moser, R. 1987 Turbulent statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133166.Google Scholar
Kuroda, A. 1990 Direct numerical simulation of Couette-Poiseuille flows. Doctor of Engineering Thesis, Department of Mechanical Engineering, University of Tokyo.
Lomas, C. G. 1986 Fundamentals of Hot Wire Anemometry. Cambridge University Press.
Nakayama, A. & Westphal, R. V. 1986 The effects of sensor length and spacing on X-wire measurements in a boundary layer. NASA Tech. Memo. 88352.Google Scholar
Nishino, K. & Kasagi, N. 1989 Turbulence statistics measurement in a two-dimensional channel flow using a three-dimensional particle tracking velocimeter. Proc. Seventh Symposium on Turbulent Shear Flows, Stanford, pp. 2.2.1.2.1.6
Pao, Y. H. 1965 Structure of turbulent velocity and scalar fields at large wavenumbers. Phys. Fluids 8, 10631075.Google Scholar
Park, S. R. & Wallace, J. M. 1992 The influence of instantaneous velocity gradients on turbulence properties measured with multi-sensor hot-wire probes. Thirteenth Symp. on Turbulence, University of Missouri-Rolla.
Perry, A. E. 1982 Hot-Wire Anemometry. Clarendon Press.
Shah, D. A. 1988 Scaling of the “bursting” and “pulse” periods in wall bounded turbulent flows. PhD thesis, University of Newcastle, Australia.
Suzuki, Y. & Kasagi, N. 1990 Evaluation of hot-wire measurements in turbulent wall shear flows using a direct numerical simulation data base. In Engineering Turbulence Modelling and Experiments (ed. W. Rodi & E. N. Ganić), pp. 361370. Elsevier.
Swaminathan, M. K., Rankin, G. W. & Sridhar, K. 1986 Evaluation of the basic systems of equations for turbulence measurements using the Monte Carlo technique. J. Fluid Mech. 170, 119.Google Scholar
Tagawa, M., Tsuji, T. & Nagano, Y. 1992 Evaluation of X-probe response to wire separation for wall turbulence measurements. Expts. Fluids 12, 413421.Google Scholar
Teitel, M. & Antonia, R. A. 1990 The interaction region in a turbulent duct flow. Phys. Fluids A 2, 808813.Google Scholar
Tutu, N. K. & Chevray, R. 1975 Cross-wire anemometry in high intensity turbulence. J. Fluid Mech. 71, 785800.Google Scholar
Vukoslavčević, P. & Wallace, J. M. 1981 Influence of velocity gradients on measurements of velocity and streamwise velocity with hot-wire X-array Probes. Rev. Sci. Instrum. 52, 869879.Google Scholar
Wei, T. & Willmarth, W. W. 1989 Reynolds-number effects on the structure of a turbulent channel flow. J. Fluid Mech. 204, 5795.Google Scholar
Westphal, R. V. 1990 Near-wall measurement errors for hot-wire probes with finite spatial resolution. Proc. ASME Symp., Toronto, pp. 18.
Wyngaard, J. C. 1968 Measurement of small-scale turbulence structure with hot wires. J. Phys. E: Sci. Instrum. 1, 11051108.Google Scholar
Zhu, Y. & Antonia, R. A. 1992 The measurement of ∂u/∂y in the wall region of a turbulent channel flow. Proc. Eleventh Australasian Fluid Mechanics Conf., Hobart, Australia, pp. 695698.
Zhu, Y. & Antonia, R. A 1993 Temperature dissipation measurements in a fully developed turbulent channel flow. Expts. Fluids 15, 191199.Google Scholar
Zhu, Y., Antonia, R. A. & Kim, J. 1993 Velocity and temperature derivative measurements in the near-wall region of a turbulent duct flow. In Near-Wall Turbulent Flows (ed. R. M. C. So, C. G. Speziale & B. E. Launder), pp. 549561. Elsevier.