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Cattaneo-Christov heat flux model for rotating flow and heat transfer of upper-convected Maxwell fluid
Author(s) -
M. Mustafa
Publication year - 2015
Publication title -
aip advances
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.421
H-Index - 58
ISSN - 2158-3226
DOI - 10.1063/1.4917306
Subject(s) - prandtl number , deborah number , heat flux , heat transfer , physics , mechanics , fluid dynamics , newtonian fluid , classical mechanics , relaxation (psychology) , viscoelasticity , flow (mathematics) , thermodynamics , social psychology , psychology
In this paper Cattaneo-Christov heat flux model is used to investigate the rotating flow of viscoelastic fluid bounded by a stretching surface. This model is a modified version of the classical Fourier’s law that takes into account the interesting aspect of thermal relaxation time. The boundary layer equations are first modeled and then reduced to self-similar forms via similarity approach. Both analytical and numerical solutions are obtained and found in excellent agreement. Our computations reveal that velocity is inversely proportional to the viscoelastic fluid parameter. Further fluid temperature has inverse relationship with the relaxation time for heat flux and with the Prandtl number. Present consideration even in the case of Newtonian fluid does not yet exist in the literature

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