Abstract

An extension of analytic functions for the solution of axisymmetric flow problems is presented. Axisymmetric flow problems have been transformed to two-dimensional ones by using an integral transformation that can be solved by the well-known methods of the theory of analytic functions. Here a plane problem on the flow has been solved approximately by means of conformai mapping. As an example we have investigated flow problems of an ellipsoid, a gas bubble motion, and an axisymmetric cavitational flow.

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