It is shown that Von Karman's similarity hypothesis can be used to deduce the Reynolds number dependence of the nor-dimensional turbulent velocity profile in both the circular tube and parallel plate channel. The analysis uses a two part model of a sub-layer and a main stream and ensures that there are no discontinuities in the profile gradient and that it fulfils the correct centre-line boundary condition. There is good agreement with experimental results in both configurations.
Get full access to this article
View all access options for this article.
References
1.
GoldsteinS.Modern developments in fluid dynamics1938, Vol. 2, 331 (Oxford University Press, Oxford).
2.
DeisslerR. G.‘Analysis of turbulent heat transfer, mass transfer and fluid friction in smooth tubes at high Prandtl and Schmidt numbers’, N.A.C.A. Report 1210, 1955.
