Influence of magneto-thermo radiation on heat transfer of a thin nanofluid film with non-uniform heat source/sink

Dulal Pal ^a,*, Debranjan Chatterjee ^b, Kuppalapalle Vajravelu ^c

a. Department of Mathematics, Institute of Science, Visva-Bharati (A Central University), Santiniketan, West Bengal-731 235, India
         b. Department of Mathematics, Bahiri B.S High School, Bolpur, Birbhum, West Bengal-731 204, India
         c. Department of Mathematics, Department of Mechanical, Material and Aerospace Engineering, University of Central Florida, Orlando, FL32816, USA

Abstract: The objective of the present work is to analyze the flow, heat and mass transfer characteristics in a thin nanofluid film over a heated stretched sheet in the presence of a non-uniform heat source/sink and thermal radiation. Similarity variables are used to transform the partial differential equations into a system of ordinary differential equations. The resulting system of nonlinear ordinary differential equations is then solved numerically by using Runge-Kutta-Fehlberg integration scheme with a shooting technique. The effects of the unsteadiness parameter, the thermal radiation, the non-uniform heat source/sink parameter on flow and heat transfer fields are analyzed. It is found that an increase in the unsteadiness parameter is to increase the velocity and temperature gradient profiles. However, an increase in the thermal radiation parameter affects the nanoparticle temperature gradient of the nanofluid film but the reversed is true with the concentration gradient. Furthermore, by increasing the values of the non-uniform heat source/sink parameter there is an increase in the nanoparticle concentration gradient profiles.

Keywords: Magnetohydrodynamic; Thermal radiation; Internal heat source/sink; Stretching sheet; Thin liquid film