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EN
An analysis is presented to investigate the effects of thermal radiation on a convective slip flow of an electrically conducting slightly rarefied fluid, having temperature dependent fluid properties, over a wedge with a thermal jump at the surface of the boundary in the presence of a transverse magnetic field. The reduced equations are solved numerically using the finite difference code that implements the 3-stage Lobatto IIIa formula for the partitioned Runge-Kutta method. Numerical results for the dimensionless velocity and temperature as well as for the skin friction coefficient and the Nusselt number are presented through graphs and tables for pertinent parameters to show interesting aspects of the solution.
EN
The present analysis is focused on the study of the magnetic effect on coupled heat and mass transfer by mixed convection boundary layer flow over a slender cylinder in the presence of a chemical reaction. The buoyancy effect due to thermal diffusion and species diffusion is investigated. Employing suitable similarity transformations, the governing equations are transformed into a system of coupled non-linear ordinary differential equations and are solved numerically via the implicit, iterative, second order finite difference method. The numerical results obtained are compared with the available results in the literature for some special cases and the results are found to be in excellent agreement. The velocity, temperature, and the concentration profiles are presented graphically and analyzed for several sets of the pertinent parameters. The pooled effect of the thermal and mass Grashof number is to enhance the velocity and is quite the opposite for temperature and the concentration fields.
EN
A finite-difference analysis of transient free convection flow of a dissipative fluid past an infinite vertical porous plate is presented here. Velocity, temperature, skin-friction and Nusselt number are shown graphically and the effects of different parameters on the flow field are discussed.
EN
An analysis is performed to study the transient free convection flow of a viscous incompressible fluid past a semi-infinite inclined plate with viscous dissipation. The dimensionless governing equations are unsteady, coupled and non-linear integro partial differential equations. An analytical method fails to give a solution. Hence an implicit finite difference scheme of Crank-Nicolson method is employed. The effect of the dissipation parameter on the velocity, temperature, skin friction and Nusselt number are studied in detail. It is observed that greater viscous dissipative heat causes a rise in the temperature irrespective of the Prandtl number.
EN
The partial differential equations governing the unsteady convective flow of a fluid have been solved exactly when the flow takes place near an infinite vertical plate in a system rotating with a constant angular velocity. Exact analytical solutions for the boundary layer velocity variables and skin friction components have been presented separately for the cases of fluids whose Prandtl numbers are less than or greater than unity. The influence of rotation on the temporal and spatial variations of these physical quantities has been discussed for two specific fluids, each belonging to the two separate Prandtl number categories considered. It is seen that the rotation parameter and the Prandtl number have significant effects on the boundary layer velocity and skin friction.
6
Content available remote Flows in a circular cylinder heated from rotating bottom
EN
Problem statements are fluid flows contained in a circular cylinder with a bottom disk that is rotating and supplies heat energy into the inside of the vessel at a constant temperature. The present flow configuration shows a typical flow model due to both the rotation of solid wall and buoyant force of a hot disk. Main focus lies on the flow patterns in the meridional plane and heat transfer rate throught the walls including the end disks. In this flow, the principal balance in the interior region is characterized by the relationship between the radial temperature gradient and the vertical shear in the azimuthal velocity. As the temperature at the bottom increases, larger portions of the meridional fluid transport are long-circuit from the bottom disk to the interior region via the cylindrical wall.
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