The effects of pressure gradients on turbulent flow near a smooth wall

Author:

Mellor George L.

Abstract

A dimensional argument is presented leading to a functional form for the effective viscosity which embraces the hypothesis of a previous paper (Mellor & Gibson 1966; hereafter referred to as paper A) in the defect portion of a turbulent boundary layer. The new argument also suggests a way of determining the effective viscosity in the viscous sublayer when the flow is subjected to mainstream pressure gradients.It will be shown that the large wall-velocity profiles and the defect-velocity profiles automatically overlap, even in the absence of a logarithmic portion. It will be shown further that equilibrium flows are uniquely determined by β andR.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference10 articles.

1. Stratford, B. S. 1959 An experimental flow with zero skin friction throughout its region of pressure rise.J. Fluid Mech. 5,17–35.

2. Millikan, C. B. A. 1938 A critical discussion of turbulent flows in channels and circular tubes.Proc. Fifth Inter. Congr. Appl. Mech.,pp.386–392.

3. Deissler, R. G. 1959 Convective heat transfer and friction in flow of liquids. High Speed Aerodynamics and Jet Propulsion , vol. 5,pp.288–338.Princeton University Press.

4. Mellor, G. L. & Gibson, D. M. 1966 Equilibrium turbulent boundary layers.J. Fluid Mech. 24,225.

5. Van Driest, E. R. & Blumer, C. B. 1963 Boundary layer transition: freestream and pressure gradient effects.AIAA J. 1.1303–1306.

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