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Incompressible Potential Flow Past Axisymmetric Bodies in Cylindrical Pipes

Published online by Cambridge University Press:  07 June 2016

J Mathew  and
S N Majhi
J Mathew
Affiliation:
Space Science and Technology Centre, Trivandrum, India
S N Majhi
Affiliation:
Indian Institute of Technology, Madras
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Summary

Vandrey’s procedure, based on the method of singularities (ring vortices), for finding the pressure distribution on an axisymmetric body in a uniform stream is extended to the case of flow past a similar body in a uniform stream within a cylindrical duct of infinite length. The final form of the integral equation for the velocity distribution on the body is the same as that given by Vandrey; however, its kernel possesses additional terms representing the influence of the duct. Numerical solutions are worked out for varying radii ratio between a sphere and a duct and also between the more general-shaped axisymmetric body and a duct.

Type
Research Article
Information
Aeronautical Quarterly , Volume 24 , Issue 3 , August 1973 , pp. 179 - 191
Copyright
Copyright © Royal Aeronautical Society. 1973

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References

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