Burgers flow past arbitrary ellipse

Author:
J. M. Dorrepaal

Journal:
Quart. Appl. Math. **42** (1985), 497-512

MSC:
Primary 76D99; Secondary 35Q10, 35Q20

DOI:
https://doi.org/10.1090/qam/766885

MathSciNet review:
766885

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Abstract: This paper examines a linearization of the Navier-Stokes equation due to Burgers in which vorticity is transported by the velocity field corresponding to continuous potential flow. The governing equations are solved exactly for the two dimensional steady flow past an ellipse of arbitrary aspect ratio. The requirement of no slip along the surface of the ellipse results in an infinite algebraic system of linear equations for coefficients appearing in the solution. The system is truncated at a point which gives reliable results for Reynolds numbers in the range .

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DOI:
https://doi.org/10.1090/qam/766885

Article copyright:
© Copyright 1985
American Mathematical Society