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Impulsively started viscous flow past a finite flat plate with and without an applied magnetic field
Author(s) -
Ingham D. B.
Publication year - 1973
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620060408
Subject(s) - reynolds number , magnetic reynolds number , vorticity , mechanics , mathematics , magnetic field , viscous liquid , magnetohydrodynamic drive , square (algebra) , compressibility , physics , classical mechanics , flow (mathematics) , geometry , magnetohydrodynamics , vortex , turbulence , quantum mechanics
Numerical methods are used to investigate the two‐dimensional motion of a viscous incompressible fluid impulsively started past a flat plate of finite breadth at zero incidence to the uniform motion of the fluid at large distances from the plate. A step by step integration in time of Helmholtz's vorticity equation is used for Reynolds numbers 10–500. The magnetohydrodynamic case is also considered with the applied magnetic field at infinity parallel to the uniform stream and the non‐conducting plate. Results for the Magnetic Reynolds number 50 and infinite, Viscous Reynolds number 50 and 0≤β≤2, where β is the ratio of the square of the Alfvén speed to the square of the main stream velocity, are presented.