INVESTIGATION OF STABILITY OF A SUSPENSION OF MOTILE MICROORGANISMS SUBJECTED TO A HIGH-FREQUENCY VIBRATION

摘要

This paper investigates the effect of vertical vibration on the stability of a dilute suspension of negatively geotactic microorganisms in a fluid layer of finite depth. The case of high-frequency vibration is considered. Solutions of governing equations are decomposed into two components: one which varies slowly with time and a second which varies rapidly with time. An averaging method is utilized to derive the equations describing the mean flow. Linear stability analysis is used to investigate stability of the obtained averaged equations.