Combined Effect of Rotation and Magnetic Field on Micropolar Fluid Heated and Soluted, Permeated with Suspended Particles Saturating Porous Medium

Main Article Content

Sumit Gupta

Abstract

This paper deals with the convection of micropolar fluids heated and soluted from below in the presence of suspended particles (fine dust) and uniform vertical rotation and uniform vertical magnetic field in a porous medium. Using the Boussinesq approximation, the linearized stability theory and normal mode analysis, the exact solutions are obtained for the case of two free boundaries. It is found that the presence of the suspended particles number density, the rotation parameter, stable solute, magnetic field intensity and medium permeability bring oscillatory modes which were non–existent in their absence. It is found that the presence of coupling between thermal and micropolar effects, rotation parameter, solute parameter and suspended particles may introduce overstability in the system. Graphs have been plotted by giving numerical values to the parameters accounting for rotation parameter, magnetic field solute parameter, the dynamic microrotation viscosity and coefficient of angular viscosity to depict the stability characteristics, for both the cases of stationary convection and overstability. It is found that Rayleigh number for the case of overstability and stationary convection increases with increase in rotation parameter, as well as with magnetic field intensity, solute parameter and decreases with increase in micropolar coefficients and medium permeability, for a fixed wave number, implying thereby the stabilizing effect of rotation parameter, magnetic field intensity ,solute parameter and destabilizing effect of micropolar coefficients and medium permeability on the thermosolutal convection of micropolar fluids.

Keywords:
Micropolar fluid, rotation parameter, suspended particles (fine dust), microrotation, magnetic field intensity, solute parameter, medium permeability, coefficient of angular viscosity

Article Details

How to Cite
Gupta, S. (2020). Combined Effect of Rotation and Magnetic Field on Micropolar Fluid Heated and Soluted, Permeated with Suspended Particles Saturating Porous Medium. Asian Journal of Pure and Applied Mathematics, 2(1), 78-98. Retrieved from http://globalpresshub.com/index.php/AJPAM/article/view/830
Section
Original Research Article

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