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Generalized integral transform solution for boundary layer flow over a sphere
Author(s) -
Lage P. L. C.,
Rangel R. H.
Publication year - 1994
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650180802
Subject(s) - mathematics , integral transform , mathematical analysis , boundary layer , integral equation , convergence (economics) , separation of variables , eigenvalues and eigenvectors , flow (mathematics) , geometry , boundary value problem , mechanics , physics , quantum mechanics , economics , economic growth
The generalized integral transform technique is applied to the boundary layer equations for flow over a sphere in their primitive variables. Even though a diffusion‐based eigenvalue problem is used, the velocity profile, shear stress and separation point have been calculated with high accuracy. Low‐order approximations are shown to be accurate near the surface and the predictions of the separation point is very good. Comparison with finite difference results shows the better convergence behaviour of the integral transform method.