Manuscript Title:

HEAT AND MASS TRANSFER THROUGH THREE DIMENSIONAL ROTATING FREE CONVECTIVE FLOW PAST A VERTICAL POROUS PLATE WITH HEAT SOURCE

Author:

SURESH GOVINDAN, P. SENTHIL KUMAR, D.VIJAYABALAN, J. SHINY EPCIYA, S. DEEPA, K. MARIMUTHU

DOI Number:

DOI:10.5281/zenodo.10669873

Published : 2024-02-10

About the author(s)

1. SURESH GOVINDAN - Department of Mathematics, Vel Tech High Tech Dr. R. Rangarajan & Dr. Sagunthala Rangarajan Engineering College, Avadi, Chennai.
2. P. SENTHIL KUMAR - Department of Mathematics, Vel Tech High Tech Dr. R. Rangarajan & Dr. Sagunthala Rangarajan Engineering College, Avadi, Chennai.
3. D.VIJAYABALAN - Department of Mathematics, Vel Tech High Tech Dr. R. Rangarajan & Dr. Sagunthala Rangarajan Engineering College, Avadi, Chennai.
4. J. SHINY EPCIYA - Department of Mathematics, Vel Tech High Tech Dr. R. Rangarajan & Dr. Sagunthala Rangarajan Engineering College, Avadi, Chennai.
5. S. DEEPA - Department of Mathematics, Vel Tech High Tech Dr. R. Rangarajan & Dr. Sagunthala Rangarajan Engineering College, Avadi, Chennai.
6. K. MARIMUTHU - Department of Mathematics, Vel Tech High Tech Dr. R. Rangarajan & Dr. Sagunthala Rangarajan Engineering College, Avadi, Chennai.

Full Text : PDF

Abstract

This work aims to analyze the effects of unsteady three-dimensional rotating convection of an infinitely vertical porous plate filled with a viscous, electrically conducting, rotating incompressible fluid. A transverse sinusoidal suction velocity that varies over time is applied to the plate, creating a three-dimensional flow. The series expansion approach was used to generate the expressions for the temperature of the mass flow and cross flow, species concentration, skin friction, and the rate of heat and mass transfer. Introduction: Because of its many applications in a variety of engineering problems, including MHD generators, plasma studies, nuclear reactors, oil exploration, geothermal energy extraction, and boundary layer control in the field of aerodynamics, the phenomenon of hydromagnetic flow with heat and mass transfer in an electrically conducting fluid past a porous plate embedded in a porous medium has drawn the attention of a good number of investigators. Objectives: Heat and mass transfer via a three-dimensional rotating free convective flow over a vertical porous plate with a heat source is the subject of the problem you mentioned. Problems of this kind are commonly seen in the domains of heat transfer and fluid dynamics. Methods: Conduction, Convection, radiation Conclusion: The main flow velocity decreases with the increase of Reynolds number and Prandtl number. The cross flow velocity increases with the increase of Schmidt number and rotation number. Increasing Grashof number decreases the skin friction and rate of Heat transfer. Rate of mass transfer at the plate increase with increase in Grashof number and Schmidt number.
 


Keywords

Convective Flows, MHD, Heat and Mass Transfer, Porous Medium, Viscous Dissipation, Heat Generation/Absorptio.