Classical Linear Stability Analysis of Energy Based Internally Heated Distributions on B#233;nard Porous Convection in a Micropolar Fluid Layer

摘要

The theoretical and numerical analysis is carried out on the effect of three types of configurations of Rayleigh-Bénard (RB) convection driven by the boundary combinations of Rigid-Rigid (R-R), Rigid-Free (R-F) and Free-Free (F-F). The RB convection models are distinguished by the three different temperature boundary conditions like: 1) RB1: lower and upper at fixed-temperature, 2) RB2: lower and upper with fixed-heat flux, or perfectly insulating and 3) RB3: bottom surface is fixed-temperature and top surface is fixed-heat flux. A Galerkin-type is based on the weighted residual method (WRM) which has been used to obtain the eigenvalue for gravity thermal Rayleigh number. It is noted that the porous medium of Darcy parameter  alt="" src="Edit_ba52bac5-73fb-46dc-87b2-9ab918cb67c9.bmp" /> and spin diffusion (couple stress) parameter N₃ is to hasten coupling parameter N₁ and micropolar heat conduction parameter N₅ is to delay the onset of convection. Further, increase in the value of N₁, N₅, alt="" src="Edit_2d2de547-a7ed-4351-b3c4-8d1c36d83a20.bmp" /> and as well as decrease in N₃ is to diminish the size of convection cells.