Open Access

ARTICLE

NONLINEAR RADIATIVE HEAT TRANSFER TO CARREAU FLUID OVER A NONLINEAR STRETCHING SHEET IN A POROUS MEDIUM IN THE PRESENCE OF NON-UNIFORM HEAT SOURCE/SINK AND VISCOUS DISSIPATION

M. Umeshaiah¹ , M. R. Krishnamurthy² , N.G. Rudraswamy³ , B. J. Gireesha⁴, B.C. Prasannakumara^5,*

1 Department of Mathematics, PESITM College of Engineering, Shimoga-577204, Karnataka, India
2 Department of Mathematics, Jawaharlal Nehru College of Engineering, Shimoga-577204, Karnataka, India
3 Department of Mathematics, Sahyadri Science College, Shimoga-577201, Karnataka, India
4 Department of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta-577 451, Shimoga, Karnataka, India
5 Department of Mathematics, Government First Grade College, Koppa, Chikkamagaluru-577126, Karnataka, Inida.

* Corresponding Author: Email:

Frontiers in Heat and Mass Transfer 2017, 9, 1-8. https://doi.org/10.5098/hmt.9.4

Abstract

This article presents the effect of nonlinear thermal radiation on boundary layer flow and heat transfer of Carreau fluid model over a nonlinear stretching sheet embedded in a porous medium in the presence of non-uniform heat source/sink and viscous dissipation with convective boundary condition. The governing partial differential equations with the corresponding boundary conditions are reduced to a set of ordinary differential equations using similarity transformation, which is then solved numerically by the fourth-fifth order Runge–Kutta-Fehlberg integration scheme featuring a shooting technique. The influence of significant parameters such as power law index parameter, Stretching parameter, Weissenberg number, permeability parameter, temperature ratio parameter, radiation parameter, Biot number, heat source/sink parameters, Eckert number and Prandtl number on the flow and heat transfer characteristics is discussed. The obtained results shows that for shear thinning fluid the fluid velocity is depressed by the Weissenberg number while opposite behavior for the shear thickening fluid is observed. A comparison with previously published data in limiting cases is performed and they are in excellent agreement.

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Keywords

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