Thermophoresis Effect on Mixed Convection Flow from a Rotating Cone Embedded in a Porous Medium with Thermal Radiation

Dr. M. Sreedhar Babu, G. Venkata Ramanaiah, M. Lavanya

Abstract: This paper deals with the study of steady, laminar, incompressible convection flow along a rotating vertical cone with thermal radiation and thermophoresis immersed in a fluid saturated porous medium. The fluid is assumed to be a gray, absorbing-emitting but a scattering medium. The radiative heat flux in the energy equations is described by employing the Rosseland approximation. The governing equations for the conservation of mass, momentum, energy and concentration of the problem are formulated. The resultant equations are transformed into simple ordinary non-linear differential equations and then solved by employing Runge-Kutta method with shooting technique. The numerical results concerning the flow fields, such as, the fluid velocities (tangential, circumferential and normal), temperature and concentration profiles across the boundary layer are discussed graphically for different values of physical parameters, namely thermophoresis coefficient, relative temperature difference parameter, inverse Darcy parameter and thermal radiation. These characteristics are also discussed with the aid of Nusselt number and Sherwood number. Keywords: Rotating cone, porous medium, thermal radiation, convection flow, thermophoresis. Title: Thermophoresis Effect on Mixed Convection Flow from a Rotating Cone Embedded in a Porous Medium with Thermal Radiation Author: Dr. M. Sreedhar Babu, G. Venkata Ramanaiah, M. Lavanya International Journal of Mathematics and Physical Sciences Research ISSN 2348-5736 (Online) Research Publish Journals

Vol. 3, Issue 2, October 2015 – March 2016

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Thermophoresis Effect on Mixed Convection Flow from a Rotating Cone Embedded in a Porous Medium with Thermal Radiation by Dr. M. Sreedhar Babu, G. Venkata Ramanaiah, M. Lavanya