XXXVII Workshop on Geometric Methods in Physics | 1-7.07.2018 |

VII School on Geometry and Physics | 25-29.06.2018 |

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## Mausam Magar## THE TWO-DIMENSIONAL IRROTATIONAL FLOW OF A COMPRESSIBLE FLUID AROUND A CORNERAn exact solution is derived for the two-dimensional, steady, irrotational motion of a compressible fluid around a corner. This solution provides another example in which there exist stream-lines in the physical plane which are free from singularities. It also provides an example in which Lighthill's definition of a solution of a hypergeometric differential equation is used in the case where the value γ = − 1 is a simple pole of the function F(α, β; ; γ ; τ) regarded as a function of γ. The hypergeometric functions required in this solution are tabulated. |

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University of Bialystok |

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