Abstract
Direct numerical simulation data for the lateral velocity derivative ∂u/∂y at the centreline of a fully developed turbulent channel flow provide reasonable support for Wyngaard's analysis of the error involved in measuring this quantity using parallel hot wires. Numerical data in the wall region of the channel flow also provide a useful indication of how to select the separation between the wires. Justification for this choice is obtained by comparing several measured statistics of ∂u/∂y with the corresponding numerical data.
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Antonia, R. A.; Browne, L. W. B.; Chambers, A. J. 1984: On the spectrum of the transverse derivative of the stream wise velocity in a turbulent flow. Phys. Fluids 27, 2628–2631
Antonia, R. A.; Kim, J. 1992: Isotropy of small-scale turbulence. Proc. 1992 Summer Program, Studying turbulence using numerical simulation database, IV, 123–136
Antonia, R. A.; Kim, J.; Browne, L. W. B. 1991: Some characteristics of small-scale turbulence in a turbulent duct flow. J. Fluid Mech. 233, 369–388
Antonia, R. A.; Mi, J. 1993: Temperature dissipation in a turbulent round Jet. J. Fluid Mech. 250, 531–551
Batchelor, G. K. 1953: The theory of homogeneous turbulence. Cambridge: Cambridge University Press
Champagne, F. H.; Friehe, C. A.; LaRue, J. C. 1977: Flux measurements, flux estimation techniques, and fine-scale turbulence measurements in the unstable surface layer over land. J. Atmos. Sci. 34, 515–530
Hussein, H. J.; George, W. K. 1990: Influence of wire spacing on derivative measurement with parallel hot-wire probes. In: Forum on turbulent flows — 1990 (eds. Bower, W. M.; Morris, M. J.; Samimy, M.), ASME FED-Vol. 94, 121–124
Pao, Y. H. 1965: Structure of turbulent velocity and scalar fields at large wavenumbers. Phys. Fluids 8, 1063–1075
Smith, L. M.; Reynolds, W. C. 1991: The dissipation-range spectrum and the velocity-derivative skewness in turbulent flows. Phys. Fluids A 3, 992–994
Townsend, A. A. 1956: The structure of turbulent shear flow. Cambridge: Cambridge University Press
Wyngaard, J. C. 1968: Measurement of small-scale turbulence structure with hot wires. J. Sci. Instrum. (J. Phys. E) 1, 1105–1108
Wyngaard, J. C. 1969: Spatial resolution of the vorticity meter and other hot-wire arrays. J. Sci. Instrum. 2, 983–987
Zhu, Y.; Antonia, R. A. 1992: Temperature dissipation measurements in a fully developed turbulent channel flow. Exp. Fluids (to appear)
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Antonia, R.A., Zhu, Y. & Kim, J. On the measurement of lateral velocity derivatives in turbulent flows. Experiments in Fluids 15, 65–69 (1993). https://doi.org/10.1007/BF00195597
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DOI: https://doi.org/10.1007/BF00195597