4.6 Article

Cattaneo-Christov heat flux model for third-grade fluid flow towards exponentially stretching sheet

Journal

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
Volume 37, Issue 6, Pages 761-768

Publisher

SHANGHAI UNIV
DOI: 10.1007/s10483-016-2088-6

Keywords

steady flow; third-grade fluid; Cattaneo-Christov heat flux; exponentially stretching sheet

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The Cattaneo-Christov heat flux in the two-dimensional (2D) flow of a third-grade fluid towards an exponentially stretching sheet is investigated. The energy equation is considered through thermal relaxation. Similarity transformations are accounted to obtain the ordinary differential systems. The converted non-dimensional equations are solved for the series solutions. The convergence analysis of the computed solutions is reported. The graphical results of the velocity and temperature profiles are plotted and elaborated in detail. The results show that the thermal relaxation enhances the temperature gradient while reduces the temperature profile.

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