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

doi:10.1007/s10483-016-2088-6

Abstract

Abstract:

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 temper-ature gradient while reduces the temperature profile.

Key words: steady flow, exponentially stretching sheet, third-grade fluid, Cattaneo-Christov heat flux

2010 MSC Number:

76A05

S. A. SHEHZAD, F. M. ABBASI, T. HAYAT, B. AHMAD. Cattaneo-Christov heat flux model for third-grade fluid flow towards exponentially stretching sheet. Applied Mathematics and Mechanics (English Edition), 2016, 37(6): 761-768.

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