The Onset of Rayleigh-Bénard Convection in a Suspension of Gyrotactic Microorganisms with ITBT

摘要

In this paper, the onset of Rayleigh-Bénard convection of an incompressible fluid suspended with motile gyrotactic microorganisms which is imposed to time-periodic boundary temperature is investigated. Linear stability analysis along with Venezian approach is used to obtain the correction Rayleigh number. The shift of the critical Rayleigh number is obtained as a function of frequency of modulation. Three different cases of oscillating temperature fields are considered namely. Symmetric. Asymmetric and bottom wall modulated. Graphs are plotted and analysed accordingly for these three cases.