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An asymptotic solution for slightly buoyant laminar plumes

Published online by Cambridge University Press:  29 March 2006

P. Wesseling
P. Wesseling
Affiliation:
Department of Applied Mathematics, Twente University of Technology, Ensehede, The Netherlands
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Abstract

When the buoyancy forces are small compared with the inertia forces, heated plumes in laminar flows which are uniform at upstream infinity approximately satisfy a linearized version of the Boussinesq equations, here called the Oseen–Boussinesq equations. An analytic solution is constructed for arbitrary Prandtl number and arbitrary direction of the unperturbed flow in the case of a plume produced by a point source. The two-dimensional case of the plume from a line source is considered briefly. A Stokes-type paradox occurs: it is found that a line-source solution that vanishes at infinity does not exist.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 70 , Issue 1 , 15 July 1975 , pp. 81 - 87
Copyright
© 1975 Cambridge University Press

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References

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