Mixed Convection Heat Transfer of MHD Flow Due to Permeable Sheet: An Analytical Solution

In this paper we investigate the analytical solution for MHD flow and heat transfer of electrically conducting fluid due to vertical starching surface. Here the diffusion thermo (Dufour) and thermal diffusion (Soret) effects are considered. It is shown that the porosity, magnetic, convection, concentrationand buoyancy effects can be combined with a new parameter called porous- magneto-convection-concentration parameters .The effect of physical parameter influencing the flow and heat transfer are studied and results are plotted and discussed. Keywords: Heat Transfer, Porous-Magneto-Convection-Concentration parameter, Buoyancy, Soret,  Dufour,  Lewis

Heat Transfer in MHD Flow over A Stretching Sheet with Velocity and Thermal Slip Condition

The present work is concerned with the effects of surface slip conditions and thermal on an electrically conducting fluid over a non-isothermal stretching surface in the presence of a uniform transverse magnetic field. Similarity transformation is used to transform the partial differential equations describing the problem into a system of nonlinear ordinary differential equations which is solved analytically. The effects of various parameters on the velocity and temperature profiles as well as on the local skin-friction and the local Nusselt number are discussed in detail and displayed through graphs. Keywords: MHD; Heat transfer; Slip conditions, Kumer’s function, Similarity transformation

Numerical Solution of the Momentum and Heat Transfer Equations for a Hydromagnetic Flow Due to a Stretching Sheet of a non-uniform Property Micropolar Liquid

A study of the hydromagnetic flow due to a stretching sheet and heat transfer in an incompressible micropolar liquid is made. Temperature-dependent thermal conductivity and a non-uniform heat source/sink render the problem analytically intractable and hence a numerical study is made using the shooting method based on Runge-Kutta and Newton-Raphson methods. The two problems of horizontal and vertical stretching are considered to implement the numerical method. The former problem involves one-way coupling between linear momentum and heat transport equations and the latter involves two-way coupling. Further, both the problems involve two-way coupling between the non-linear equations of conservation of linear and angular momentums. A similarity transformation arrived at for the problem using the Lie group method facilitates the reduction of coupled, non-linear partial differential equations into coupled, non-linear ordinary differential equations. The algorithm for solving the resulting coupled, two-point, non-linear boundary value problem is presented in great detail in the paper. Extensive computation on velocity and temperature profiles is presented for a wide range of values of the parameters, for prescribed surface temperature (PST) and prescribed heat flux (PHF) boundary conditions

Melting Heat Transfer in MHD Boundary Layer Stagnation-Point Flow Towards a Stretching Sheet with Thermal Radiation

International audienceAn analysis is carried out to study the steady two-dimensional stagnation-point flow and heat transfer from a warm, laminar liquid flow to a melting stretching sheet. The governing partial differential equations are converted into ordinary differential equations by similarity transformation, before being solved numerically using Runge-Kutta-Fehlberg method. Effects of Magnetic parameter, Radiation parameter, melting parameter, stretching parameter and Prandtl number on flow and heat transfer characteristics are thoroughly examined. *Note a – Parameter of the temperature distributed in stretching surface;

Flow And Heat Transfer Characteristics Of A Viscoelastic Fluid In A Porous Medium Over An Impermeable Stretching Sheet With Viscous Dissipation

By considering the recent developments in porous media, the correction to the fundamental error made by many researchers, while formulating the flow and heat transfer in porous medium over stretching surface has been incorporated in this present problem, which is still open in the literature. Here an analysis is carried out to study the flow and heat transfer characteristics in a viscoelastic fluid flow in porous medium over a stretching surface with two general cases namely PST and PHF cases, including the effects of viscous dissipation. The partial differential equations governing the flow and heat transfer are converted into ordinary differential equations and boundary conditions by suitable similarity transformation. The proposed problem has been solved analytically by power series method (using Kummer\u27s function). The graphical results for velocity, wall frictional coefficient and temperature are presented and discussed. Furthermore, it is shown that porous medium has same effect on the flow as viscoelasticity and it is also shown that the heat flow is always from the stretching sheet to the fluid. The numeric values of wall frictional coefficient 12CfRex1/2, surface velocity gradient fηη(0) and wall temperature gradient θη(0) and wall temperature g(0) are also calculated, tabulated and discussed. © 2010 Elsevier Ltd

Heat Transfer In Mhd Viscoelastic Boundary Layer Flow Over A Stretching Sheet With Thermal Radiation And Non-Uniform Heat Source/Sink

An analysis has been carried out to study the flow and heat transfer characteristics for MHD viscoelastic boundary layer flow over an impermeable stretching sheet with space and temperature dependent internal heat generation/absorption (non-uniform heat source/sink), viscous dissipation, thermal radiation and magnetic field due to frictional heating. The flow is generated due to linear stretching of the sheet and influenced by uniform magnetic field, which is applied vertically in the flow region. The governing partial differential equations for the flow and heat transfer are transformed into ordinary differential equations by a suitable similarity transformation. The governing equations with the appropriate conditions are solved exactly. The effects of viscoelastic parameter and magnetic parameter on skin friction and the effects of viscous dissipation, non-uniform heat source/sink and the thermal radiation on heat transfer characteristics for two general cases namely, the prescribed surface temperature (PST) case and the prescribed wall heat flux (PHF) case are presented graphically and discussed. The numerical results for the wall temperature gradient (the Nusselt number) are presented in tables and are discussed. © 2011 Elsevier B.V