Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-18T21:19:35.977Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  28 March 2006

George L. Mellor
George L. Mellor
Affiliation:
Department of Aerospace and Mechanical Sciences, Princeton University
Get access Rights & Permissions [Opens in a new window]

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 and R.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 24 , Issue 2 , February 1966 , pp. 255 - 274
Copyright
© 1966 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

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.
Ferrari, C. 1956 Wall turbulence. NASA RE 2–8–59 W.Google Scholar
Laufer, J. 1954 The structure of turbulence in fully developed pipe flow. NACA Rep. no. 1174.Google Scholar
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.Google Scholar
Mellor, G. L. & Gibson, D. M. 1966 Equilibrium turbulent boundary layers. J. Fluid Mech. 24, 225.Google Scholar
Stratford, B. S. 1959 An experimental flow with zero skin friction throughout its region of pressure rise. J. Fluid Mech. 5, 17–35.Google Scholar
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Townsend, A. A. 1961 Equilibrium layers and wall turbulence. J. Fluid Mech. 11, 97–120.Google Scholar
Van Driest, E. R. 1956 On turbulent flow near a wall. J. Aero Sci. 23, 1007.Google Scholar
Van Driest, E. R. & Blumer, C. B. 1963 Boundary layer transition: freestream and pressure gradient effects. AIAA J. 1. 1303–1306.Google Scholar