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

This current article study the significance of vertical vibration on a dilute suspension containing oxytactic mi-croorganisms 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 governin g 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, Rb-cr and a(c) 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 omega stabilizes the suspension while, in case of no vertical vibration depth parameter destabilizes the suspension.

Automated summary

This study examines the impact of vertical vibration on a shallow horizontal suspension of dilute oxytactic microorganisms heated from below. The findings suggest that high frequency and low amplitude vertical vibration can stabilize the suspension, while the absence of vertical vibration can destabilize it.