Significance of vertical vibration on the stability of thermo-bioconvection in a suspension of oxytactic microorganisms

Abstract

This current article study the significance of vertical vibration on a dilute suspension containing oxytactic microorganisms heated from below in a shallow horizontal layer. A time-averaged method and linear stability analysis are employed to attain the governing equations describing the mean flow of suspension. Under time-averaged method, it is permissible to break the set of solutions of governing equations into two distinct parts, the first one runs gradually with time while second one runs rapidly with time. A simple Galerkin method is employed to find the eigenvalue equation and the thermal stability curves for onset of thermo-bioconvection. The values of RTcr, Rbcr and ac are compared and found in close agreement with earlier reported articles. It is concluded that vertical vibration of high frequency and low amplitude always stabilizes the suspension of oxytactic microorganisms heated from below in shallow horizontal layer. In addition, the depth parameter ω stabilizes the suspension while, in case of no vertical vibration depth parameter destabilizes the suspension.