The effects of capillarity on free-streamline separation

Author:

Ackerberg R. C.

Abstract

The effect of a small surface-tension coefficient on the classical theory of free-streamline separation from a sharp trailing edge is studied. The classical solution fails in a small region surrounding the edge, where it predicts singular behaviour, and an inner solution, satisfying linear boundary conditions, is required to obtain a uniformly valid first approximation. The solution valid near the edge removes the curvature and pressure-gradient singularities of the classical solution and predicts a standing capillary wave along the free streamline.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference15 articles.

1. Noble B. 1958 Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations. Pergamon.

2. Ackerberg, R. C. 1973b Axisymmetric potential flow separation at a sharp trailing edge.Studies in Appl. Math. 52,377.

3. Lamb, H. 1945 Hydrodynamics. Dover.

4. Gurevich, M. I. 1965 Theory of Jets in Ideal Fluids. Academic.

5. Milne-Thomson, L. M. 1957 Theoretical Hydrodynamics , 3rd edn.Macmillan.

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