Magneto-Hydrodynamic Effect with Temperature Dependent Viscosity on Natural Convection at an Axisymmetric Stagnation Point Saturated in Porous Media
نویسندگان
چکیده
A three-dimensional boundary layer solution is presented to study the effect of magneto-hydrodynamic with variable viscosity on natural convection in the vicinity of an axisymmetric stagnation point on heated vertical surfaces saturated in porous medium. The fluid viscosity is assumed to vary as a linear function of temperature. The governing partial differential equations for the flow and heat transfer are transformed into ordinary differential equations by a suitable similarity transformation then, solved numerically using the Runge-Kutta numerical integration, procedure in conjunction with shooting technique. A parametric study illustrating the influence of the magnetic parameter M, the viscosity parameter γf and Darcy number Da are conducted and a representative set of numerical results for the velocity, temperature, concentration, on skin friction, Nusselt number as well as Sherwood number are investigated. The obtained results are shown in graphic and tabulated representation followed by a quantitative discussion. 2 M. Modather M. Abdou and S. M. M. El-Kabier
منابع مشابه
EFFECT OF TIME-DEPENDENT TRANSPIRATION ON AXISYMMETRIC STAGNATION-POINT FLOW AND HEATTRANSFER OF A VISCOUS FLUID ON A MOVING CIRCULAR CYLINDER
Effect of time dependent normal transpiration on the problem of unsteady viscous flow and heat transfer in the vicinity of an axisymmetric stagnation point of an infinite circular cylinder moving simultaneously with time-depended angular and axial velocities and with time-dependent wall temperature or wall heat flux are investigated. The impinging free stream is steady with a strain rate . A re...
متن کاملConjugate Heat Transfer of MHD non-Darcy Mixed Convection Flow of a Nanofluid over a Vertical Slender Hollow Cylinder Embedded in Porous Media
In this paper, conjugate heat transfer of magneto hydrodynamic mixed convection of nanofluid about a vertical slender hollow cylinder embedded in a porous medium with high porosity have been numerically studied. The Forchheimer’s modification of Darcy’s law was used in representing the nanofluid motion inside the porous media. The governing boundary layer equations were transformed to non-dimen...
متن کاملEffect of Volumetric Heat Generation/ Absorbtion on Mixed Convection Stagnation Point Flow on an Iso-thermal Vertical Plate in Porous Media
متن کامل
Effect of Radiation on MHD Mixed Convection Flow from a Vertical Plate Embedded in a Saturated Porous Media with Melting
The effect of radiation on a steady two-dimension magneto-hydrodynamic mixed convection flow from a vertical plate embedded in a saturated porous media with melting is analyzed.The non-linear partial differential equations, governing the flow field under consideration, have been transformed by a similarity transformation into a system of non-linear ordinary differential equations and then solve...
متن کاملAixsymmetric Stagnation Point Flow of a Viscous Fluid on a Moving Cylinder with Time Dependent Axial Velocity
The unsteady viscous flow in the vicinity of an axisymmetric stagnation point of an infinite moving cylinder with time-dependent axial velocity is investigated. The impinging free stream is steady with a strain rate k. An exact solution of the Navier-Stokes equations is derived in this problem. A reduction of these equations is obtained by use of appropriate transformations. The general self-si...
متن کامل