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The Laminar Boundary Layer of a Source and Vortex Flow

Published online by Cambridge University Press:  07 June 2016

T. S. Cham
T. S. Cham*
Affiliation:
University of Singapore
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Summary

A study is made of the interaction of a combination of free-vortex and source flow with a stationary surface. The laminar boundary layer flow can be expressed in ordinary differential equations by choosing suitable similarity transforms for the Navier-Stokes equations. When simplifying boundary-layer approximations are included, the equations do not yield any unique solution. Solutions to the complete equations are calculated numerically for the special case of equal source and vortex strengths for a limited range of Reynolds number. The results show the presence of “super” velocities and large pressure variations within the viscous layer.

Information

Type
Research Article
Information
Aeronautical Quarterly , Volume 22 , Issue 2 , May 1971 , pp. 196 - 206
Copyright
Copyright © Royal Aeronautical Society. 1971

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References

1. Kidd, G. J. and Farms, G. J. Potential vortex flow adjacent to a stationary surface. Journal of Applied Mechanics, Transactions of the American Society of Mechanical Engineers, Vol. 35, Series E, No. 2, pp. 209-215, 1968.Google Scholar
2. Gardow, E. B. The three-dimensional turbulent boundary layer in a free vortex diffuser. Massachusetts Institute of Technology, Gas Turbines Laboratory, Report 42, 1958.Google Scholar
3. Cham, T. S. and Head, M. R. Calculation of the turbulent boundary layer in a free vortex diffuser. R & M 3646, 1970.Google Scholar
4. Nachtsheim, P. R. and Swigert, P. Satisfaction of asymptotic boundary conditions in numerical solutions of systems of nonlinear equations of boundary layer type, NASA Report TN D - 3004, 1965.Google Scholar
5. Wilks, G. Swirling flow through a convergent funnel. Journal of Fluid Mechanics, Vol. 34, Part 3, pp. 575-593, 1968.CrossRefGoogle Scholar
6. Gol’dshtik, M. A. A paradoxical solution of the Navier-Stokes equations. Prikladnaia Matematica Mekhanica, Vol. 24, No. 4, pp. 913-929, 1960.Google Scholar
7. Fox, L. Numerical solution of ordinary and partial differential equations. Pergamon Press, 1962.Google Scholar