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Free Convection Boundary Layer on a Flat Plate due to Small Fluctuations in Surface Temperature
Author(s) -
Muhuri P. K.,
Gupta A. S.
Publication year - 1979
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.19790590208
Subject(s) - boundary layer , convection , mechanics , materials science , natural convection , layer (electronics) , surface (topology) , geometry , physics , composite material , mathematics
Using the method of matched asymptotic expansions the unsteady free convection boundary layer flow past a vertical flat plate is obtained when the plate temperature oscillates about a non‐zero mean. It is found that when the Prandtl number is not unity, the solution far downstream reveals a double boundary layer, the inner layer being a shear layer having a double‐deck structure. The skin‐friction has a phase lag π/4 and the wall heat transfer has a phase lead π/4 over that of the surface temperature oscillations.