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Exact solution of heat transfer problem for generalized Newtonian flow between two infinite parallel plates
Author(s) -
Kadyirov Aidar I.,
Vachagina Ekaterina K.,
Kaynova Anastasia A.
Publication year - 2016
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.22440
Subject(s) - heat transfer , exact solutions in general relativity , newtonian fluid , flow (mathematics) , non newtonian fluid , mechanics , mathematics , power law fluid , thermodynamics , mathematical analysis , physics
In this paper the exact solution of the heat transfer problem for generalized Newtonian flow between two infinite parallel plates is obtained by using the Fourier method and taking into account the viscous dissipation of the fluid. The original variable is proposed to expand the required function into a power series. The universal law is considered to describe a generalized Newtonian fluid. For example, an analytical solution is used to investigate the heat transfer problem for the flow of a rubber compound based on the synthetic isoprene rubber‐3.