Hostname: page-component-7479d7b7d-q6k6v Total loading time: 0 Render date: 2024-07-12T04:33:13.715Z Has data issue: false hasContentIssue false
  • English
  • Français

The Design of Axisymmetric Ducts for Incompressible Flow

Published online by Cambridge University Press:  07 June 2016

P Laidler  and
F Walkden
P Laidler
Affiliation:
Department of Mathematics, University of Salford
F Walkden
Affiliation:
Department of Mathematics, University of Salford
Get access

Summary

An algorithm is described for solving the partial differential equations governing inviscid, incompressible, irrotational and axisymmetric flow in order to obtain duct wall shapes from prescribed wall velocity distributions. Equations of motion are formulated with distances from and along the axis of symmetry as dependent variables. A velocity potential and Stokes stream function are employed as independent variables. A numerical method based on the iterative solution of finite-difference equations on a non-uniform mesh is presented. The residuals obtained from calculations with differing mesh sizes, for the two examples described, indicate that the proposed method gives satisfactory solutions to the specified design problem.

Type
Research Article
Information
Aeronautical Quarterly , Volume 28 , Issue 1 , February 1977 , pp. 21 - 27
Copyright
Copyright © Royal Aeronautical Society. 1977

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 Lighthill, M J A new method of two-dimensional aerodynamic design. ARC R & M 2112, 1945.Google Scholar
2 Bradshaw, P Pankhurst, R C The design of low-speed wind tunnels. Progress in Aeronautical Sciences, Vol 5, pp 32–35, 1964.Google Scholar
3 Thwaites, B On the design of contractions for wind tunnels. ARC R & M 2278, 1946.Google Scholar
4 Cohen, M J Ritchie, N J B Low-speed three-dimensional contraction design. Journal of the Royal Aeronautical Society, Vol 66, pp 231–236, 1962.CrossRefGoogle Scholar
5 Bossel, H H Computation of axi-symmetric contractions. AIAA Journal, Vol 7, pp 2017–2020, 1969.Google Scholar
6 Forsythe, G E Wasow, W R Finite Difference Methods for Partial Differential Equations, pp 184–190, Wiley, 1960.Google Scholar