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On the two-dimensional inviscid flow from symmetric slowly varying nozzles

Part of: Incompressible inviscid fluids

Published online by Cambridge University Press:  26 February 2010

N. S. Clarke
N. S. Clarke
Affiliation:
Department of Mathematics, The University of Newcastle upon Tyne.
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Extract

In this note we derive an implicit representation of the solution to the problem of plane, inviscid, irrotational flow from a symmetric nozzle of arbitrary wall shape. For the case in which the nozzle wall has a slope which is everywhere much less than unity, we are able to convert this implicit representation into an explicit one in an asymptotic sense (based upon the smallness of the wall slope). Particular attention is paid to the contraction ratio of the jet. This work is complementary to that of Lesser [2] and Larock [l].

MSC classification

Secondary: 76B10: Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
Type
Research Article
Information
Mathematika , Volume 22 , Issue 2 , December 1975 , pp. 135 - 140
Copyright
Copyright © University College London 1975

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References

1.Larock, B. E.. “Jets from two-dimensional symmetric nozzles of arbitrary shape”, J. Fluid Mech., 37 (1969), 479–489.Google Scholar
2.Lesser, M. B.. “Plane jet flows from slowly varying nozzles”, J. Fluid Mech., 61 (1973), 65–72.Google Scholar
3.Muskhelishvili, N. I.. Singular integral equations (Groningen-Holland, P. Noordhoff, 1953).Google Scholar