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The interaction problem for the locally cooled free convection boundary layer
Author(s) -
Exner A.,
Kluwick A.
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/zamm.20010811511
Subject(s) - convection , mechanics , constant (computer programming) , boundary layer , disturbance (geology) , boundary (topology) , boundary value problem , physics , natural convection , mathematics , mathematical analysis , geology , computer science , paleontology , programming language
The free convection boundary layer which forms on a heated vertical flat plate of constant temperature is investigated in the vicinity of a localized disturbance of the wall temperature. In a small region the wall is cooled in a prescribed manner. The short strong disturbance results in an interaction problem which is solved numerically. If the disturbances are sufficiently weak, the interaction equations can be linearised allowing for analytical solutions. For strong disturbances, a numerical calculation of the non‐linear interaction problem is performed.