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Homogeneous and Heterogeneous Reactions Effects in Flow with Joule Heating and Viscous Dissipation

Published online by Cambridge University Press:  13 September 2016

T. Hayat ,
Z. Hussain ,
M. Farooq  and
A. Alsaedi
T. Hayat
Affiliation:
Department of MathematicsQuaid-I-Azam UniversityIslamabad, Pakistan Nonlinear Analysis and Applied Mathematics Research GroupDepartment of MathematicsFaculty of ScienceKing Abdulaziz UniversityJeddah, Saudi Arabia
Z. Hussain*
Affiliation:
Department of MathematicsQuaid-I-Azam UniversityIslamabad, Pakistan
M. Farooq
Affiliation:
Department of MathematicsRiphah International UniversityIslamabad, Pakistan
A. Alsaedi
Affiliation:
Nonlinear Analysis and Applied Mathematics (NAAM) Research GroupDepartment of MathematicsFaculty of ScienceKing Abdulaziz UniversityJeddah, Saudi Arabia
*
*Corresponding author ([email protected])
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Abstract

This work examines the magnetohydrodynamic (MHD) flow of second grade fluid due to a stretching cylinder with viscous dissipation. Advance heat transfer technique namely the Newtonian heating is employed to explore the characteristics of heat transfer phenomenon in the presence of Joule heating. Mass transfer is discussed with the combination of both homogeneous and heterogeneous reactions. Diffusion coefficients of species A and B are considered of the same size. Heat production due to chemical reaction is assumed negligible. Appropriate transformations are employed to convert the nonlinear partial differential equations to the nonlinear ordinary differential equations. Convergent solutions of momentum, energy and concentration equations are developed. Characteristics of different involved parameters on the velocity and temperature fields are shown graphically. Numerical values of skin friction coefficient and Nusselt number are computed and analyzed. Higher values of homogeneous reaction parameter results in the reduction of concentration profile while opposite behavior is observed for heterogeneous reaction parameter.

Keywords

Second grade fluidViscous dissipationHomogeneous-heterogeneous reactionsNewtonian heating
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 1 , February 2017 , pp. 77 - 86
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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