INVESTIGATION OF OVERSTABILITY ANALYSIS OF OSCILLATORY THERMO-BIOCONVECTION WITH ARBITRARY DIRECTIONS OF VIBRATION

Abstract

The vibrations under the temperature gradient in the fluidic system could induce a thermo-vibrational force even in the absence of gravity, which helps to develop the bioconvective flow in the system. The present study aims to explore the effect of arbitrary directional vibrations on the overstability of the fluidic system. Flow governing equations are framed using the Kuznetsov model to study the effect of vibrations on the suspension's overstability. The secular equation is obtained from the flow governing equations utilizing the time-averaged technique, linear stability analysis, and finally the Galerkin method for rigid-rigid boundary conditions. The study shows that the vibrations stabilize the system when applied at an angle ranging from (0, π/6) ∪ (2π/3, π) but destabilize it when applied at an angle ranging from (π/6, 2π/3). Furthermore, the gyrotactic microorganisms slowly diffuse in the horizontal direction and quickly diffuse in the vertical direction.