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Conjugate Free Convection from a Slightly Inclined Plate Embedded in a Porous Medium
Author(s) -
Vaszi A.Z.,
Ingham D.B.,
Lesnic D.,
Munslow D.,
Pop I.
Publication year - 2001
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 - 10.1002/1521-4001(200107)81:7<465::aid-zamm465>3.0.co;2-u
Subject(s) - dimensionless quantity , boundary layer , conjugate , mathematical analysis , series (stratigraphy) , porous medium , mechanics , boundary value problem , partial differential equation , boundary (topology) , physics , convection , mathematics , geometry , materials science , porosity , geology , composite material , paleontology
Two‐dimensional conjugate free convection from an inclined flat plate in a semi‐infinite porous medium under the boundary‐layer approximation is investigated both analytically and numerically. The problem is reduced to a pair of coupled parabolic partial differential equations, and series and numerical solutions are obtained for both positive and negative inclinations of the plate. For positive inclinations solutions are possible for all values of the dimensionless coordinate measured along the plate from the leading edge, whilst for negative inclinations solutions are only really valid up to the point where the boundary‐layer separates. Comparison between the series expansion and the finite‐difference solutions are presented and the range of applicability of the series solutions is investigated.