Hostname: page-component-76fb5796d-9pm4c Total loading time: 0 Render date: 2024-04-27T21:20:18.601Z Has data issue: false hasContentIssue false
  • English
  • Français

Steady flow through non-uniform gauzes of arbitrary shape

Published online by Cambridge University Press:  28 March 2006

J.W Elder
J.W Elder
Affiliation:
Cavendish Laboratory, University of Cambridge
Get access Rights & Permissions [Opens in a new window]

Abstract

The steady, two-dimensional flow through an arbitrarily-shaped gauze, of non-uniform properties, placed in a parallel channel is considered for the case in which viscosity can be ignored except in the immediate vicinity of the gauze. The equations are linearized by requiring departures from uniformity both in the flow and in the gauze parameters to be small. Knowledge of any three of the upstream profile, the downstream profile, the shape of the gauze and the gauze parameters, allows the other to be calculated from a linear relation between these four quantities. Particular solutions are given for the production of a uniform shear and the flow through linear and parabolic gauzes. The validity of the solution is verified by experiment. It is shown that the method can also be applied to two-dimensional flow in a diverging channel, axisymmetric flow in a circular pipe and in a circular cone and to flow through multiple gauzes.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 5 , Issue 3 , April 1959 , pp. 355 - 368
Copyright
© 1959 Cambridge University Press

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

Bonneville, J. M. & Harper, D. B. 1951 An analysis and investigation of two-dimensional flow through wire screens. M. S. Thesis, Massachusetts Institute of Technology.
Bragg, S. L. & Hawthorne, W. R. 1950 J. Aero. Sci. 17, 243.
Davis, G. 1957 Non-uniform flow through wire screens. Ph.D. Dissertation, University of Cambridge.
Hardy, G. H. & Rogosinski, W. W. 1944 Fourier Series. Math. Tracts, 38. Cambridge University Press.
Lamb, H. 1932 Hydrodynamics. Cambridge University Press.
Owen, P. R. & Zienkiewicz, H. K. 1957 J. Fluid Mech. 2, 521.
Taylor, G. I. 1944 Aero. Res. Coun. R. & M. no. 2236.
Taylor, G. I. & Batchelor, G. K. 1949 Quart. J. Mech. Appl. Math. 2, 1.
Taylor, G. I. & Davis, R. M. 1944 Aero. Res. Coun. R. & M. no. 2237.
Weighardt, K. E. G. 1953 Aero. Quart. 4, 186.