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Unsteady Flow of a Viscous Fluid Over a Plane Wall
Author(s) -
Erdoǧan M. E.
Publication year - 1997
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/zamm.19970771004
Subject(s) - mechanics , flow (mathematics) , body force , physics , plane (geometry) , displacement (psychology) , compressibility , constant (computer programming) , classical mechanics , viscous liquid , square root , momentum (technical analysis) , mathematics , geometry , computer science , psychology , finance , economics , psychotherapist , programming language
The unsteady flow of an incompressible viscous fluid over a plane wall in the presence of a body force is considered. Three illustrative examples are given. In the first case, it is assumed that the body force is constant, in the second case the body force depends on time in the form of a positive power of time and in the third case the body force varies sinusoidally in time. In the case of the constant force the displacement and the momentum thickness grow as the square root of time as in the case of the flow due to a flat plate suddenly set in motion. It is shown that there are similarities between the flows considered in this paper and the Stoke's first and second problems.