Unsteady flow of a viscous fluid from a source in a wall

Author:

Tuck E. O.

Abstract

A problem with possible physiological applications concerns the escape of a viscous fluid through a small hole in a wall. The solution presented here is for a line source of sinusoidally pulsating strength located at the originx=y= 0, where the planey= 0 is a rigid wall and the fluid is at rest aty= + ∞. The linearized Navier—Stokes equations are solved, and results in the form of streamline plots are shown and discussed.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference5 articles.

1. Womersley, J. R. 1955 Oscillatory motion of a viscous liquid in a thin-walled elastic tube. I. The linear approximation for long waves.Phil. Mag. 46,199.

2. Rayleigh, Lord 1893 On the flow of viscous liquids, especially in two dimensions.Phil. Mag. (5),36,354.

3. Tuck, E. O. 1969 Transmission of water waves through small apertures. (Unpublished.)

4. Fry, D. L. & Greenfield, J. C. 1963 The mathematical approach to hemodynamics, with particular reference to Womersley's theory. Pulsatile Blood Flow (ed. E. O. Attinger ). Ch. 4.New York:McGraw-Hill.

5. Wang, C.-Y. 1966 The resistance on a circular cylinder in an oscillating stream.Quart. Appl. Math. 23,305.

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