Skip to main content Accessibility help
×
Home

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

  • E. O. Tuck (a1)

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 origin x = y = 0, where the plane y = 0 is a rigid wall and the fluid is at rest at y = + ∞. The linearized Navier—Stokes equations are solved, and results in the form of streamline plots are shown and discussed.

Copyright

References

Hide All
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.
Rayleigh, Lord 1893 On the flow of viscous liquids, especially in two dimensions. Phil. Mag. (5), 36, 354.
Tuck, E. O. 1969 Transmission of water waves through small apertures. (Unpublished.)
Wang, C.-Y. 1966 The resistance on a circular cylinder in an oscillating stream. Quart. Appl. Math. 23, 305.
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.
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed