Journal
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
Volume 222, Issue 4, Pages 653-656Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1243/09544062JMES872
Keywords
third-grade fluids; perturbation techniques; parallel plate flow
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The flow of non-Newtonian fluid in between two parallel plates at different temperatures is considered. A third-grade fluid with temperature-dependent viscosity is considered in the analysis and the Reynolds model used to account for it. Approximate analytical solutions for the velocity and temperature profiles are found using perturbation techniques. It is found that the influence of the non-Newtonian parameter and viscosity index is more pronounced in the region of the plate surfaces where the rate of fluid strain and temperature gradients are high.
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