The Effect Of Gravity Inclination On The Estimation Of Critical Permeability In A 2d – Bio-Porous Convection (Bpc)

The present investigation was carried out with the purpose of analyzing the 2D-stability analysis of bio-porous convection (BPC) in a suspension of motile microorganisms in a gravity inclined environment. Due to the extreme complexity of the problem the computational tools like Maple and Mathematica were used to get the analytic expressions. It is a well known fact that permeability of the porous medium is an important factor in the study of bioconvection. In the absence of gravity inclination, the results obtained were quite simple when compared to those of the inclined environment. It was found that the criterion for the existence of critical permeability was dominated by five parameters viz, cell eccentricity, gravity inclination, average swimming velocity, vertical disturbance and fluid velocity. The profiles of critical permeability vs cell eccentricity exhibited amazingly interesting features. The results were found to be in excellent agreement with the available results for the limiting cases.