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The Quarterly Journal of Mechanics and Applied Mathematics 1957 10(1):24-41; doi:10.1093/qjmam/10.1.24
© 1957 by Oxford University Press
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TWO-DIMENSIONAL CONTRACTING DUCT FLOW

J. C. GIBBINGS {dagger} and J. R. DIXON {ddagger}

This paper deals with the incompressible potential flow through two-dimensional contracting channels of finite length. These channel flows are obtained by first specifying flow patterns in the logarithmic hodograph plane. It is shown that certain of these patterns can result in infinite values, at points on the channel wall, of both the velocity gradient and wall curvature. A method of avoiding these undesirable features is given which alters the contraction boundary so as to replace them by wall portions along which the velocity gradient is constant. A numerical example is given.


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