THERMODYNAMIC ANALYSIS OF UNSTEADY MHD BOUNDARY LAYER FLOW WITH SLIP OVER A PERMEABLE SURFACE

THERMODYNAMIC ANALYSIS OF UNSTEADY MHD BOUNDARY LAYER FLOW WITH SLIP OVER A PERMEABLE SURFACE

Abstract:
This paper presents a thermodynamic analysis of unsteady magnetohydrodynamic (MHD) boundary layer flow over a permeable surface with slip effects. The study aims to investigate the heat and mass transfer characteristics of an unsteady boundary layer flow in the presence of a magnetic field and slip conditions at the surface. The analysis takes into account the effects of viscous dissipation, Joule heating, and thermal radiation.

The governing equations for the unsteady MHD boundary layer flow are formulated using the conservation laws for mass, momentum, energy, and species. The partial differential equations are then transformed into a set of coupled nonlinear ordinary differential equations using suitable similarity transformations. These equations are solved numerically using an appropriate numerical technique, such as the fourth-order Runge-Kutta method.

The effects of various parameters, including magnetic field strength, slip coefficient, Prandtl number, Eckert number, and radiation parameter, on the velocity, temperature, and concentration profiles are investigated. The results demonstrate that the presence of a magnetic field and slip conditions significantly influence the flow and heat transfer characteristics. An increase in the magnetic field strength suppresses the velocity boundary layer and enhances the temperature and concentration boundary layers. The slip coefficient reduces the velocity boundary layer thickness and increases the temperature and concentration boundary layer thickness.

Furthermore, it is observed that the presence of thermal radiation enhances the heat transfer rate and reduces the temperature boundary layer thickness. Viscous dissipation and Joule heating have significant effects on temperature distribution within the boundary layer. The analysis also reveals that the Eckert number and Prandtl number affect the heat transfer and thermal boundary layer thickness.

The thermodynamic analysis of unsteady MHD boundary layer flow with slip over a permeable surface provides valuable insights into the heat and mass transfer characteristics of such flows. The findings of this study can be utilized in the design and optimization of various engineering systems, including heat exchangers, chemical reactors, and boundary layer control devices.

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