Computational Analysis of Hydromagnetic Flow of a Dissipative and Radiating Fluid Over a Stretching/ Shrinking Surface with Prescribed Heat Flux in the Presence of Heat Source/ Sink

Authors

  • J Wilfred Samuel Raj Department of Mathematics, The American College, Madurai-02, Tamil Nadu, India. https://orcid.org/0000-0001-5813-3023
  • SP Anjali Devi Department of Applied Mathematics, Bharathiar University, Coimbatore-46, Tamil Nadu, India.

Keywords:

Boundary Layer, Heat Source/ Sink, Heat Transfer, Magnetohydrodynamics, Prescribed Surface Heat Flux, Thermal Radiation

Abstract

Nonlinear hydromagnetic flow and heat transfer over a stretching/ shrinking surface with prescribed heat flux in the presence of viscous dissipation, radiation effects and heat source/ sink has been explored numerically. The basic equations comprising the balance laws of mass, linear momentum and energy are modified to include the viscous dissipation, heat source/ sink and radiation effects. A suitable similarity transformation is employed to reduce the nonlinear partial differential equations into nonlinear ordinary differential equations. Then the resultant third order momentum equation and second order energy equation are solved numerically using Nachtsheim Swigert Shooting iteration scheme for the satisfaction of asymptotic boundary conditions together with Runge Kutta Fourth Order integration method. The physical parameters like Suction parameter, Magnetic parameter, Stretching/ Shrinking parameter, Prandtl number, Radiation parameter, Heat source/ jsink parameter and Eckert number show significant effects on the flow and heat transfer. Numerical results are computed for dimensionless velocity, skin friction coefficient, dimensionless temperature and wall temperature and are depicted through graphs and tables. The temperature of the fluid is found to enhance apparently due to significant increase in Eckert number which ultimately leads to increase in the thermal boundary layer thickness.

How to cite this article: Raj JWS, Devi SPA. Computational Analysis of Hydromagnetic Flow of a Dissipative and Radiating Fluid Over a Stretching/ Shrinking Surface with Prescribed Heat Flux in the Presence of Heat Source/ Sink. J Adv Res Appl Mech Compu Fluid Dyna 2019; 6(3&4): 1-10.

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Published

2020-01-27