On the difference between a bounding surface and a material surface-Reference-Cited by-同舟云学术

On the difference between a bounding surface and a material surface

Published:1976-06-25 Issue:4 Volume:75 Page:609-623
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Dussan V E. B.

Abstract

The ideas of Lagrange, Poisson, Kelvin and Truesdell are reviewed. It is shown that in order for a bounding surface not to be a material surface either u. n = c must fail or more than one deformation can be associated with the velocity field. Examples are given.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference10 articles.

1. Ince, E. L. 1956 Ordinary Differential Equations .Dover.

2. Truesdell, C. A. 1951 On the equation of the bounding surface Bull. Tech. Univ. Istanbul,3,71.

3. Poisson, S. D. 1842 Traité de Mécanique,p.681.

4. Lagrange, J. L. 1781 Mémoire sur la théorie du mouvement des fluides. Nouveaux Mémoires de l'Académie Royale des Sciences et Belle-Lettres de Berlin .

5. Birkhoff, G. & Rota, G. 1969 Ordinary Differential Equations ,2nd edn.Waltham, Mass.:Xerox Corp.

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