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۱MHD Flow and Heat Transfer in a Power–Law Liquid Film at a Porous Surface in the Presence of Thermal Radiation
نویسنده(ها): ، ، ،
اطلاعات انتشار: Journal Of Applied Fluid Mechanics، ششم،شماره۳، ۲۰۱۳، سال
تعداد صفحات: ۱۱
In this paper, the effects of variable thermal conductivity and thermal radiation on the MHD flow and heat transfer of a non–Newtonian power–law liquid film at a horizontal porous sheet in the presence of viscous dissipation is studied. The governing time dependent boundary layer equations are transformed to coupled, non–linear ordinary differential equations with power–law index, unsteady parameter, film thickness, magnetic parameter, injection parameter, variable thermal conductivity parameter, thermal radiation parameter, the Prandtl number and the Eckert number. These coupled non–linear equations are solved numerically by an implicit, finite difference scheme known as the Keller box method. The obtained numerical results for velocity and temperature profiles are presented graphically. Also, the obtained results of our study for some special cases are compared with the previously published results, and the results are found to be in very good agreement. The effects of unsteady parameter on the skin friction, wall– temperature gradient and the film thickness are explored for different values of the power–law index and the magnetic parameter. The results obtained reveal many interesting behaviors that warrant further study of the equations related to non–Newtonian fluid phenomena, especially the shear–thinning phenomena.

۲Fluid Flow and Heat Transfer over a Permeable Stretching Cylinder
نویسنده(ها): ، ،
اطلاعات انتشار: Journal Of Applied Fluid Mechanics، هفتم،شماره۱، ۲۰۱۴، سال
تعداد صفحات: ۱۰
In this paper, we analyze the effects of thermo–physical properties on the axisymmetric flow of a viscous fluid induced by a stretching cylinder in the presence of internal heat generation\absorption. It is assumed that the cylinder is stretched in the axial direction with a linear velocity and the surface temperature of the cylinder is subjected to vary linearly. Here, the temperature dependent thermo–physical properties namely, the fluid viscosity and the fluid thermal conductivity are respectively assumed to vary as an inverse function of the temperature and a linear function of the temperature. The governing system of partial differential equations is converted into a system of coupled non–linear ordinary differential equations with variable coefficients. The resulting system is solved numerically using a second order finite difference scheme known as the Keller–box method. The governing equations of the problem show that the flow and heat transfer characteristics depend on six parameters, namely the curvature parameter, fluid viscosity parameter, injection\suction parameter, variable thermal conductivity parameter, heat source\sink parameter and the Prandtl number. The numerical values obtained for the velocity, temperature, skin friction, and the Nusselt number are presented through graphs and tables for several sets of values of the pertinent parameters. The results obtained for the flow and heat transfer characteristics reveal many interesting behaviors that warrant further study on the axisymmetric flow phenomena. Comparisons with the available results in the literature are presented as special cases.

۳MHD Mixed Convection Heat Transfer in a Vertical Channel with Temperature–Dependent Transport Properties
نویسنده(ها): ،
اطلاعات انتشار: Journal Of Applied Fluid Mechanics، هشتم،شماره۴، ۲۰۱۵، سال
تعداد صفحات: ۹
An analysis is carried out to study the effects of temperature–dependent transport properties on the fully developed free and forced MHD convection flow in a vertical channel. In this model, viscous and Ohmic dissipation terms are also included. The governing nonlinear equations (in non–dimensional form) are solved numerically by a second order finite difference scheme. A parametric study is performed in order to illustrate the interactive influences of the model parameters; namely, the magnetic parameter, the variable viscosity parameter, the mixed convection parameter, the variable thermal conductivity parameter, the Brinkmann number and the Eckert number. The velocity field, the temperature field, the skin friction and the Nusselt number are evaluated for several sets of values of these parameters. For some special cases, the obtained numerical results are compared with the available results in the literature: Good agreement is found. Of all the parameters, the variable thermo–physical transport property has the strongest effect on the drag, heat transfer characteristics, the stream–wise velocity, and the temperature field.
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