Techniques for treating regular and singular perturbations are illustrated by application to problems of fluid motion. In particular, the method of matched asymptotic expansions is applied to the aerodynamics of airfoils and wings, and to viscous flow at high and low Reynolds numbers. Other topics include the methods of strained coordinates and of multiple scales, and the improvement of series.

Perturbation Methods in Fluid Mechanics

Science & Math

Van Dyke, Milton

Physics

Academic Press

Annual Review of Fluid Mechanics Volume 8

Annual Reviews, inc

Annual Review of Fluid Mechanics, Vol. 14

Annual Reviews

Book by Van Dyke, Milton, Wehausen, J. V.

Annual Review of Fluid Mechanics: 1984

Wehausen, J. V.

Annual Review of Fluid Mechanics, Vol. 17

Annual Review of Fluid Mechanics, Vol. 18

Book by Lumley, John L., Van Dyke, Milton

Annual Review of Fluid Mechanics: 1987

Lumley, John L.

Annual Review of Fluid Mechanics: 1988

Annual Review of Fluid Mechanics: 1989

Annual Review of Fluid Mechanics: 1990

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Books by Van Dyke, Milton