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On fully developed mixed convection with viscous dissipation in a vertical channel and its stability
Author(s) -
Barletta A.,
Miklavčič M.
Publication year - 2016
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.201500266
Subject(s) - dissipation , mechanics , convection , perturbation (astronomy) , nonlinear system , bounding overwatch , combined forced and natural convection , physics , plane (geometry) , linear stability , channel (broadcasting) , mathematics , instability , thermodynamics , natural convection , geometry , engineering , computer science , quantum mechanics , artificial intelligence , electrical engineering
The fully developed regime of mixed convection in a vertical plane channel with symmetric and uniform temperature prescribed on the bounding walls is studied. The effect of viscous dissipation is taken into account and the Oberbeck‐Boussinesq approximation is adopted by choosing the average fluid temperature as the reference temperature. The viscous dissipation effect induces the existence of dual branches of stationary solutions. A nonlinear stability analysis versus fully‐developed modes of perturbation is carried out showing that the second branch of dual stationary solutions is unstable.