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EN
The present paper investigates a closed form solution for the transient free convection flow of a viscous incompressible fluid between two infinite vertical paranel plates in the presence of radiation. The flow is set up due to free convective currents occurring as a result of application of a constant heat flux (CHF) at one wall and a constant temperature on the other wall. The Rosseland approximation is used to describe the radiative heat flux in the energy equation. The goveming coupled non-linear partial differential equations have been solved exactly using the Laplace-transform technique. The numerical values obtained from analytical expressions of velocity, temperature, skin-mction and the Nusselt number have been presented graphically to study the behaviour of flow on the momentum and thermal boundary layer.
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Content available remote Three dimensional flow and heat transfer through a porous medium
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EN
The effect of permeability on the heat transfer and the flow through a highly porous medium bounded by an infinite porous surface is investigated. The periodic transverse suction velocity is applied to the surface due to which the flow becomes three-dimensional. The surface is kept at oscillating wall temperature. Analytical expressions for velocity, temperature, skin friction and rate of heat transfer are obtained. The important characteristics of the problem, the skin friction and the rate of heat transfer are discussed in detail with the help of graphs and tables.
EN
The flow of an electrically conducting viscous incompressible fluid, due to an infinite impervious rotating disk bounded by porous medium is discussed. It is assumed that the flow between the disk and the porous medium is governed by Navier-Stokes equations and that in the porous medium - by Brinkman equations. A uniform magnetic field is applied in the direction normal to flow. At the interface (porous medium - clear fluid boundary), a modified set of boundary conditions is applied. Analytical expressions for the velocity and shearing stress are calculated and effects of various parameters upon them are examined.
EN
The present work is concerned with unsteady mixed convection and mass transfer flow with Hall effect of an electrically conducting incompressible viscous fluid through a porous medium bounded by an infinite vertical plate subjected to suction/injection velocity in the presence of a constant magnetic field. The magnetic field is applied transversely to the direction of the flow. The resulting problem has been solved analytically and the solutions are found for velocity, temperaturę, concentration of the species, skin-friction, surface heat flux and mass flux. The effects of materiał parameters on the flow characteristics are expressed and illustrated/discussed by graphs and table.
EN
The flow of a viscous fluid induced by the rotation of a disk bounded by a porous medium fully saturated with the liquid is discussed. It is assumed that the flow between the disk and the porous medium is governed by Navier-Stokes equations and that in the porous medium by Brinkman (1947) equations. Flows in the two regions are matched at the interface by the conditions suggested by Ochao-Tapia and Whittaker (1995a; b). Analytical expressions for velocity and skin-friction are obtained and discussed.
EN
The viscous incompressible electrically conducting fluid past an infinite porous vertical plate under the combined buoyancy effects of thermal and mass diffusion has been studied under the action of transverse applied magnetic field taking into account the induced magnetic field, when the plate is subjected to constant heat and mass fluxes (CHFlCMF). The analytical solutions are found for velocity field, temperature distribution, induced magnetic field, current density, concentration field and the expressions for shear stress and rate of heat transfer are obtained and discussed in detail with the help of figures.
EN
This paper presents a study of a hydromagnetic free convection flow of an electrically conducting micropolar fluid past a vertical plate through a porous medium with a heat source, taking into account the homogeneous chemical reaction of first order. A uniform magnetic field has also been considered in the study which acts perpendicular to the porous surface of the above plate. The analysis has been done by assuming varying permeability of the medium and the Rosseland approximation has been used to describe the radiative heat flux in the energy equation. Numerical results are presented graphically in the form of velocity, micro- rotation, concentration and temperature profiles, the skin-friction coefficient, the couple stress coefficient, the rate of heat and mass transfers at the wall for different material parameters. The study clearly demonstrates how a chemical reaction influences the above parameters under given conditions.
EN
This paper studies the mathematical implications of the two dimensional viscous steady laminar combined free-forced convective flow of an incompressible fluid over a semi infinite fixed vertical porous plate embedded in a porous medium. It is assumed that the left surface of the plate is heated by convection from a hot fluid which is at a temperature higher than the temperature of the fluid on the right surface of the vertical plate. To achieve numerical consistency for the problem under consideration, the governing non linear partial differential equations are first transformed into a system of ordinary differential equations using a similarity variable and then solved numerically under conditions admitting similarity solutions. The effects of the physical parameters of both the incompressible fluid and the vertical plate on the dimensionless velocity and temperature profiles are studied and analysed and the results are depicted both graphically and in a tabular form. Finally, algebraic expressions and the numerical values are obtained for the local skin-friction coefficient and the local Nusselt number.
EN
The study of free convective two-dimensional unsteady flow with radiation through a porous medium of variable permeability and transverse magnetic field in presence of a heat source/sink, bounded by an infinite vertical porous plate with uniform suction, has been made. The permeability of a porous medium fluctuates with time about a constant mean. Approximate solutions for velocity, temperature and skin friction are obtained and the effects of heat source/sink, radiation, variable permeability, Prandtl number and magnetic field parameter on velocity, temperature and skin friction are shown and discussed with the help of graphs and a table.
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