|XXXVII Workshop on Geometric Methods in Physics||1-7.07.2018|
|VII School on Geometry and Physics||25-29.06.2018|
Participants of Workshop
Participants of School
THE TWO-DIMENSIONAL IRROTATIONAL FLOW OF A COMPRESSIBLE FLUID AROUND A CORNER
An 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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