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Unsteady Laminar Flow of Gas near an Infinite Flat Plate
Author(s) -
Elliott L.
Publication year - 1969
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.19690491103
Subject(s) - prandtl number , laplace transform , laminar flow , mechanics , flow (mathematics) , physics , flow velocity , mathematical analysis , mathematics , convection , classical mechanics
The equations for the unsteady free‐convection of a fluid near an infinite plate whose velocity and temperature are arbitrary functions of time are solved by means of Laplace transforms. Exact integral solutions for the velocity and temperature with the Prandtl number arbitrary are presented. Analytical solutions in closed form are given for certain variations in the velocity and temperature of the plate.