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Heat and mass transfer effect of a Magnetohydrodynamic Casson fluid flow in the presence of inclined plate


Affiliations
1 Department of Mathematics, Thiruvalluvar University, Vellore, Tamilnadu, India
2 Department of Mathematics, Adhiparasakthi College ofArts and Science (Autonomous) Kalavai, Tamilnadu, India
3 Department of Mathematics, Avvaiyar Government College for Women, Karaikal-609 602, Pondicherry –U T, India

The key purpose of this paper is to study the convection of a transient state in the flow of MHD Casson fluid over an inclined layer. In addition, the influence of the magnetic field, Dufour effects and heat suction / injection through porous medium are considered in the present analysis. By the Laplace transformation process, the analytical solutions of governing equations are established. By using the particular solution of fluid temperature and species concentration, the expressions for Nusselt number and Sherwood number are also premeditated. The variations in fluid velocity, fluid temperature, species concentration, Nusselt number and Sherwood number are shown graphically for different values of pertinent flow parameters.It is noted that with an increase in the Dufour number, the axial velocity decreases and it is also noted that the concentration of the species decreases with an increase in the Dufour number.The velocity decreases as all the cases of cooling and heating of the porous inclined plate raise the suction parameter.
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  • Heat and mass transfer effect of a Magnetohydrodynamic Casson fluid flow in the presence of inclined plate

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Authors

V Bharathi
Department of Mathematics, Thiruvalluvar University, Vellore, Tamilnadu, India
R Vijayaragavan
Department of Mathematics, Adhiparasakthi College ofArts and Science (Autonomous) Kalavai, Tamilnadu, India
J Prakash
Department of Mathematics, Avvaiyar Government College for Women, Karaikal-609 602, Pondicherry –U T, India

Abstract


The key purpose of this paper is to study the convection of a transient state in the flow of MHD Casson fluid over an inclined layer. In addition, the influence of the magnetic field, Dufour effects and heat suction / injection through porous medium are considered in the present analysis. By the Laplace transformation process, the analytical solutions of governing equations are established. By using the particular solution of fluid temperature and species concentration, the expressions for Nusselt number and Sherwood number are also premeditated. The variations in fluid velocity, fluid temperature, species concentration, Nusselt number and Sherwood number are shown graphically for different values of pertinent flow parameters.It is noted that with an increase in the Dufour number, the axial velocity decreases and it is also noted that the concentration of the species decreases with an increase in the Dufour number.The velocity decreases as all the cases of cooling and heating of the porous inclined plate raise the suction parameter.