Mhd And Radiation Effect On Heat Transfer In A Non-Newtonian Maxwell Fluid Over An Unsteady Stretching Sheet With Heat Source/Sink

S.Vijaya Lakshmi; T.Amaranatha Reddy; M. Suryanarayana Reddy

doi:https://doi.org/10.14445/22315373/IJMTT-V40P532

International Journal of Mathematics Trends and Technology

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Volume 40 | Number 4 | Year 2016 | Article Id. IJMTT-V40P532 | DOI : https://doi.org/10.14445/22315373/IJMTT-V40P532

Mhd And Radiation Effect On Heat Transfer In A Non-Newtonian Maxwell Fluid Over An Unsteady Stretching Sheet With Heat Source/Sink

S.Vijaya Lakshmi, T.Amaranatha Reddy, M. Suryanarayana Reddy

Abstract

The effects of variable heat flux on the flow and heat transfer of a non-Newtonian Maxwell fluid over an unsteady stretching sheet in the presence of, MHD, heat source/sink and radiation effects have been studied. The governing differential equations are transformed into a set of coupled non-linear ordinary differential equations and then solved with a numerical technique using appropriate boundary conditions for various physical parameters. The numerical solution for the governing non-linear boundary value problem is based on applying the fourth-order Runge–Kutta method coupled with the shooting technique using appropriate boundary conditions for various physical parameters. The effects of various parameters like the viscosity parameter, thermal conductivity parameter, unsteadiness parameter, radiation parameter, heat source/sink parameter, Deborah number, and Prandtl number on the velocity and temperature profiles as well as on the local skin-friction coefficient and the local Nusselt number are presented and discussed. The effects of variable heat flux on the flow and heat transfer of a non-Newtonian Maxwell fluid over an unsteady stretching sheet in the presence of, MHD, heat source/sink and radiation effects have been studied. The governing differential equations are transformed into a set of coupled non-linear ordinary differential equations and then solved with a numerical technique using appropriate boundary conditions for various physical parameters. The numerical solution for the governing non-linear boundary value problem is based on applying the fourth-order Runge–Kutta method coupled with the shooting technique using appropriate boundary conditions for various physical parameters. The effects of various parameters like the viscosity parameter, thermal conductivity parameter, unsteadiness parameter, radiation parameter, heat source/sink parameter, Deborah number, and Prandtl number on the velocity and temperature profiles as well as on the local skin-friction coefficient and the local Nusselt number are presented and discussed. The effects of variable heat flux on the flow and heat transfer of a non-Newtonian Maxwell fluid over an unsteady stretching sheet in the presence of, MHD, heat source/sink and radiation effects have been studied. The governing differential equations are transformed into a set of coupled non-linear ordinary differential equations and then solved with a numerical technique using appropriate boundary conditions for various physical parameters. The numerical solution for the governing non-linear boundary value problem is based on applying the fourth-order Runge–Kutta method coupled with the shooting technique using appropriate boundary conditions for various physical parameters. The effects of various parameters like the viscosity parameter, thermal conductivity parameter, unsteadiness parameter, radiation parameter, heat source/sink parameter, Deborah number, and Prandtl number on the velocity and temperature profiles as well as on the local skin-friction coefficient and the local Nusselt number are presented and discussed.

Keywords

non- Newtonian Maxwell fluid, unsteady stretching sheet, radiation, variable fluid properties, variable heat flux.

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Citation :

S.Vijaya Lakshmi, T.Amaranatha Reddy, M. Suryanarayana Reddy, "Mhd And Radiation Effect On Heat Transfer In A Non-Newtonian Maxwell Fluid Over An Unsteady Stretching Sheet With Heat Source/Sink," International Journal of Mathematics Trends and Technology (IJMTT), vol. 40, no. 4, pp. 255-261, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V40P532