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Heat transfer over an exponentially stretching continuous surface with suction

100%

Elbashbeshy E. M. A.

2001

tom Vol. 53, nr 6

643-651

Similary solutions of the laminar boundary layer equations describing heat and flow in a quiescent fluid driven by an exponentially stretching surface subject to suction are examined numerically. The direction and amount of heat flow were found to be dependent on the magnitude of ... (parameter of temperature) for the same Prandtl number. Nusselt number increases with increasing ... and the Prandtl number. The effect of decreasing suction parameter is found to be significant particularly for the Prandtl number.

Viscous dissipation effects on MHD flow of a conducting power-law fluid with a pressure gradient

86%

Kishan N. , Shashidar Reddy B.

tom Vol. 17, no. 1

101-112

The problem of a steady two-dimensional flow of a conducting power-law fluid past a flat plate in the presence of a transverse magnetic field under the influence of a pressure gradient by considering viscous dissipation effects is studied. The resulting governing partial differential equations are transformed into a set of non linear ordinary differential equations using appropriate transformation. The set of non linear ordinary differential equations is first linearized by using the Quasi-linearization technique and then solved numerically by using an implicit finite difference scheme. The system of algebraic equations is solved by using the Gauss-Seidal iterative method. The energy equation for a special case for which a similarity solution exist is also considered. The effects of the power-law index, magnetic parameter, viscous dissipation and generalized Prandtl number on the velocity and temperature profiles are of special interest. Numerical results are tabulated for the skin friction co-efficient. Velocity and temperature profiles are drawn for different controlling parameters which reveal the tendency of the solution.

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

72%

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

2011

tom 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.

Heat transfer in a liquid film over an unsteady stretching surface with the effects of viscous dissipation, thermal radiation and non-uniform heat source in the presence of external magnetic field

58%

Abel. M. S. , Tawade J. V.

2010

tom Vol. 15, no 4

967-992

This paper presents a mathematical analysis of an MHD flow and heat transfer to a laminar liquid film from a horizontal stretching surface. The flow of a thin fluid film and subsequent heat transfer from the stretching surface is investigated with the aid of similarity transformation. The transformation renders it possible to reduce the unsteady boundary layer equations to a system of non-linear ordinary differential equations. A numerical solution of the resulting nonlinear differential equations which agrees well with the analytic solution, is obtained by the efficient shooting technique. The effects of boundary layer thickness on various physical parameters such as the unsteadiness parameter S and magnetic parameter Mn, Prandtl number Pr, Eckert number Ec, thermal radiation parameter Nr and non-uniform heat source/sink parameters which determine the temperature profiles, the heat transfer coefficient are tabulated and plotted in figures. It is shown that the heat fluxes from the liquid to the elastic sheet decreases with S for […] and increases with S for […]. Some important findings reported in this work reveal that the combined effect of thermal radiation and non-uniform heat source have significant impact on controlling the rate of heat transfer in the boundary layer region.