Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A weak momentum source in a uniform stream

Author: D. R. Breach
Journal: Quart. Appl. Math. 28 (1970), 427-431
DOI: https://doi.org/10.1090/qam/99782
MathSciNet review: QAM99782
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Abstract: The interaction of a momentum source with a viscous uniform stream is studied. Taken separately, each flow is described by an exact solution of the full Navier-Stokes equations. Their combined effect can be described in terms of two non-dimensional parameters related to the strength of the source and the distance from it. A perturbation solution for the case of a weak source is attempted and the initial terms are found. It is shown that the results are closely related to the Oseen expansion for viscous streaming past a spheroid and that when the momentum of the source opposes that of the stream a closed streamline of elliptical shape is formed.

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DOI: https://doi.org/10.1090/qam/99782
Article copyright: © Copyright 1970 American Mathematical Society

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