Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-26T17:32:04.730Z Has data issue: false hasContentIssue false
  • English
  • Français

Plane parallel flow of a dusty gas

Published online by Cambridge University Press:  26 February 2010

D. H. Michael  and
D. A. Miller
D. H. Michael
Affiliation:
University College, London, W.C.1.
D. A. Miller
Affiliation:
University College, London, W.C.1.
Get access

Extract

In this paper solutions are given for two problems on the motion of a dusty gas, using the formulation of Saffman [1]. The gas containing a uniform distribution of dust, occupies the semi-infinite space above a rigid plane boundary. The motion induced in the dusty gas is considered in the two cases when the plane moves parallel to itself (i) in simple harmonic motion, and (ii) impulsively from rest with uniform velocity. In case (i) the change in phase velocity and the decay of oscillatory waves are noted as functions of the mass concentration of dust f. In case (ii) the problem is solved by use of the Laplace transform, some velocity distributions are calculated for f=0·2, and it is shown that the shear layer thickness is decreased by the factor (1+f)−1/2 at large times.

Type
Research Article
Information
Mathematika , Volume 13 , Issue 1 , June 1966 , pp. 97 - 109
Copyright
Copyright © University College London 1966

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Saffman, P. G., Mech, J. Fluid. Vol. 13, part 1, 1962, 120–128.CrossRefGoogle Scholar
2. McLachlan, N. W., Complex variable theory and transform calculus, 2nd Edition (Cambridge, 1953).Google Scholar
3. Jeffreys, H. and Jeffreys, B. S., Methods of mathematical physics, 2nd Edition (Cambridge, 1950).Google Scholar