Document Type : Research Paper

Authors

1 Department of Mathematics, S.J.M. Institute of Technology, Chitradurga-577501, Karnataka, India

2 Department of Mathematics, K.L.E Society’s J.T. College, Gadag-582102, Karnataka, India

3 Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal 57000, Pakistan

4 Department of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta-577 451, Shimoga, Karnataka, India

Abstract

In this article, we examined the behavior of chemical reaction effect on a magnetohydrodynamic Prandtl nanofluid flow due to stretchable sheet. Non-linear thermally radiative term is accounted in energy equation. Constructive transformation is adopted to formulate the ordinary coupled differential equations system. This system of equations is treated numerically through Runge Kutta Fehlberg-45 method based shooing method. The role of physical constraints on liquid velocity, temperature and concentration are discussed through numerical data and plots. Also, the skin friction co-efficient, local Nusselt number and local Sherwood numbers are calculated to study the flow behavior at the wall, which is also presented in tabular form. A comparative analysis is presented with the previous published data in special case for the justification of the present results. The output reveals that for larger values of elastic and Prandtl parameter, the thickness of momentum layer enhanced and the rates of both heat and mass transport reduced. Also, increment of slip parameter decelerated both temperature and concentration filed while nonlinear form thermal radiation rapidly increases the temperature.  

Graphical Abstract

Magneto Prandtl nanofluid past a stretching surface with non-linear radiation and chemical reaction

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