Generalized potentiality of inhomogeneous media flows |
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Authors: | A N Golubiatnikov |
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Institution: | (1) Uppsala University, SE-751 21 Uppsala, Sweden |
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Abstract: | A method for specifying a class of potential flows of inhomogeneous continuous media is developed. The general approach is
based on expanding a medium material symmetry group to a special volume-preserving group, allowing us to obtain a law for
the conservation of vorticity and, when there is no vorticity, to derive the unsteady Bernoulli equation. As illustrations,
plane steady stationary flows of an inhomogeneous incompressible fluid and variable-entropy gas are considered. The problem
of an inhomogeneous gas flow around a wedge yielding the formation of a shock wave is solved. |
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Keywords: | |
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