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2017 Viscous Dissipation Effects on the Motion of Casson Fluid over an Upper Horizontal Thermally Stratified Melting Surface of a Paraboloid of Revolution: Boundary Layer Analysis
T. M. Ajayi, A. J. Omowaye, I. L. Animasaun
J. Appl. Math. 2017: 1-13 (2017). DOI: 10.1155/2017/1697135

Abstract

The problem of a non-Newtonian fluid flow past an upper surface of an object that is neither a perfect horizontal/vertical nor inclined/cone in which dissipation of energy is associated with temperature-dependent plastic dynamic viscosity is considered. An attempt has been made to focus on the case of two-dimensional Casson fluid flow over a horizontal melting surface embedded in a thermally stratified medium. Since the viscosity of the non-Newtonian fluid tends to take energy from the motion (kinetic energy) and transform it into internal energy, the viscous dissipation term is accommodated in the energy equation. Due to the existence of internal space-dependent heat source; plastic dynamic viscosity and thermal conductivity of the non-Newtonian fluid are assumed to vary linearly with temperature. Based on the boundary layer assumptions, suitable similarity variables are applied to nondimensionalized, parameterized and reduce the governing partial differential equations into a coupled ordinary differential equations. These equations along with the boundary conditions are solved numerically using the shooting method together with the Runge-Kutta technique. The effects of pertinent parameters are established. A significant increases in Rex1/2Cfx is guaranteed with St when magnitude of β is large. Rex1/2Cfx decreases with Ec and m.

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T. M. Ajayi. A. J. Omowaye. I. L. Animasaun. "Viscous Dissipation Effects on the Motion of Casson Fluid over an Upper Horizontal Thermally Stratified Melting Surface of a Paraboloid of Revolution: Boundary Layer Analysis." J. Appl. Math. 2017 1 - 13, 2017. https://doi.org/10.1155/2017/1697135

Information

Received: 30 June 2016; Revised: 20 October 2016; Accepted: 6 November 2016; Published: 2017
First available in Project Euclid: 24 February 2017

zbMATH: 07037461
MathSciNet: MR3596745
Digital Object Identifier: 10.1155/2017/1697135

Rights: Copyright © 2017 Hindawi

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