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On the Asymptotic Solution of the Poisson Equation, Describing the Two‐Dimensional Incompressible Inviscid Flow in a Rotating Centrifugal Impeller
Author(s) -
Visser F.C.
Publication year - 1999
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/(sici)1521-4001(199905)79:5<353::aid-zamm353>3.0.co;2-r
Subject(s) - inviscid flow , impeller , logarithmic spiral , compressibility , poisson's equation , flow (mathematics) , mechanics , mathematics , incompressible flow , centrifugal pump , mathematical analysis , classical mechanics , physics
A calculation of the flow of an incompressible inviscid fluid in a rotating centrifugal impeller is presented. This calculation is based on an asymptotic solution of the Poisson equation in a coordinate system related to logarithmic spiral blades. It consists of the construction of the zero'th order approximation valid in a region well away from the blade tips.