Abstract
Correlations for corrections to hot-wire data for the effects of wall proximity within the viscous sublayer are usually presented in the form Δu/u τ = F (y u τ/υ). The application of such correlations requires a prior knowledge of the wall shear stress; alternatively, the correlation must be used in an iterative fashion. It is shown in the present note that any such correlation may be recast with no loss of generality in the explicit form Δu/u m = f (y u m/υ), which is more convenient for use.
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Abbreviations
- Δu :
-
difference between measured and actual velocities, ≡ u m − u
- u m :
-
measured velocity
- u τ :
-
shear velocity, ≡ \(\sqrt {\tau _s /\varrho }\)
- u + :
-
on-dimensional velocity, ≡ u/u τ
- y :
-
distance from wall
- y + :
-
non-dimensional distance from wall, ≡ y u τ/υ
- ϱ:
-
fluid density
- υ:
-
fluid kinematic viscosity
- τ s :
-
wall shear stress
References
Bhatia, J. C.; Durst, F.; Jovanovic, J. 1982: Corrections of hot-wire anemometer measurements near walls. J. Fluid Mech. 122, 411–431
Hebbar, K. S. 1980: Wall proximity corrections for hot-wire readings in turbulent flows. DISA Information no. 25, 15–16
Oka, K.; Kostic, Z. 1972: Influence of wall proximity on hot-wire velocity measurements. DISA Information no. 13, 29–33
Wills, J. A. B. 1962: The correction of hot-wire readings for proximity to a solid boundary. J. Fluid Mech. 12, 388–396
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Acharya, M., Escudier, M.P. A direct formulation of correlations for wall-proximity corrections of hot-wire measurements. Experiments in Fluids 2, 135–136 (1984). https://doi.org/10.1007/BF00296428
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DOI: https://doi.org/10.1007/BF00296428