Document Zbl 0881.76013

Terentiev, A. G.; Zhitnikov, V. P.; Dimitrieva, N. A.

An application of analytic functions to axisymmetric flow problems. (English) Zbl 0881.76013

Appl. Math. Modelling 21, No. 2, 91-96 (1997).

Summary: A generalization of analytic functions for the solution of axisymmetric flow problems is presented. Axisymmetric flow problems are transformed to two-dimensional ones by using an integral transformation that can be then solved by the well-known methods of the theory of analytic functions. A plane problem on the flow is solved approximately by means of conformal mapping. As an example, we investigate flows around an ellipsoid, a gas bubble motion, and an axisymmetric cavitational flow.

Cited in 2 Documents

MSC:

76B10	Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
30C20	Conformal mappings of special domains

Keywords:

generalized analytic functions; integral transformation; conformal mapping; ellipsoid; gas bubble; cavitational flow

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References:

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