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2 International Journal of Applied Mechanics and Engineering

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Heat transfer in MHD viscoelastic boundary layer flow over an exponential stretching sheet

Nandeppanavar M. M., Subhas Abel M., Ravi S., Jyoti H.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 2

455-474

An analysis has been carried out to study the steady viscoelastic hydromagnetic flow and heat transfer in a visco-elastic liquid flow over an exponentially stretching sheet with consideration of viscous dissipation. A zeroth order analytical local similar solution of the highly non-linear stream function equation and confluent hypergeometric solution of the heat transfer equation is obtained by converting the governing partial differential equation to ordinary differential equation by similarity transformations. The accuracy of the analytical solution for the stream function is verified by a numerical solution obtained by employing the Runge-Kutta fourth order method with shooting. The two following cases of surface conditions are studied, namely (1) prescribed exponential order surface temperature (PEST Case) and (2) prescribed exponential order boundary heat flux (PEHF Case). The effect of various parameters arising in the flow on momentum and heat transfer characteristics are presented graphically and the numerical results of wall temperature gradient (in PEST Case ) and wall temperature (PEHF Case ) are tabulated and compared with previous results.

Effects of thermal radiation and non-uniform heat source on MHD flow of viscoelastic fluid and heat transfer over a stretching sheet

Subhas Abel M., Nandeppanavar M. M.

International Journal of Applied Mechanics and Engineering

2007

Vol. 12, no 4

903-918

The present paper deals with the study of momentum and heat transfer characteristics in a visco-elastic fluid flow over an impermeable stretching sheet. Where the flow is generated due to linear stretching of the sheet and influenced by a uniform magnetic field applied vertically in the flow region. Heat balance is maintained with a non-uniform heat source/sink, viscous dissipation and thermal radiation. The partial differential equations governing the flow and heat transfer are converted into ordinary differential equations by suitable similarity transformations. The proposed problem has be en solvcd by the fourth order Runge-Kutta method with shooting technique. The effects of viscous dissipation, a non-uniform heat source/sink and thermal radiation on heat transfer characteristics in two different general cases, namely (1) the prescribed surface temperature (PST) and (2) the prescribed wall heat flux (PHF) are presented graphically and discussed. The calculated values of the wall temperature gradient in the PST case and the wall temperature PHF case are tabulated and discussed.