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A problem of heat and mass transfer: Proof of the existence condition by a finite difference method
Author(s) -
Gaultier M.,
Lezaun M.,
Vadillo F.
Publication year - 1993
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650160202
Subject(s) - finite difference method , partial differential equation , finite difference , heat transfer , mass transfer , mathematics , mechanics , mathematical analysis , computational fluid dynamics , physics , calculus (dental) , medicine , dentistry
Abstract We solve by a finite difference method a system of simultaneous non‐linear partial differential equations which modelizes the transfer of heat and mass when a fluid evaporates from the hot wall and condenses on the cold wall of an upright rectangular cavity. The need to verify a certain condition associating the physical parameters of the fluid for the existence of steady state solutions is proved.