Abstract
A well-tested integral method has been used to calculate turbulent boundary-layer development for the distribution of external velocity given byU∝x−0.255. The results suggest that different values of the initial momentum thickness, so long as this is below some critical value, produce a range of equilibrium layers having widely different values of the form parameterG. For values of the initial momentum thickness greater than the critical value, layers are produced which proceed more or less rapidly to separation. These results provide a plausible explanation for conflicting experimental observations made in the past.Additional calculations for the flowsU∝x−0.15andU∝x−0.35suggest that, in the first case, a unique equilibrium condition is approached whatever the initial momentum thickness unless this exceeds some critical value; in the second case no equilibrium condition appears possible.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference13 articles.
1. Launder, B. E. & Jones, W. P .1969 Sink flow turbulent boundary layers J. Fluid Mech. 38,817.
2. Townsend, A. A .1961 Equilibrium layers and wall turbulence J. Fluid Mech. 11,97.
3. Clauser, F. H .1954 Turbulent boundary layers in adverse pressure gradients J. Aero. Sci. 21,98.
4. Bradshaw, P .1967 The response of a constant-pressure turbulent boundary layer to the sudden application of an adverse pressure gradient.Aero. Res. Counc. R. & M. no. 3575.
5. Stratford, B. S .1959 An experimental flow with zero skin friction throughout its region of pressure rise J. Fluid Mech. 5,17.
Cited by
12 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献