Effect of rotation on anisotropic scattering suspension of phototactic algae

TL;DR

This study investigates how rotation influences the stability and onset of bioconvection in suspensions of phototactic algae, revealing that rotation can significantly stabilize the system.

Contribution

It introduces a linear stability analysis of phototactic algae suspension considering rotational effects, highlighting the stabilizing influence of rotation on bioconvection onset.

Findings

Rotation stabilizes the suspension against bioconvective instability.

The nature of unstable modes shifts with varying Taylor number.

Transition from stationary to overstable modes occurs as rotation increases.

Abstract

In this article, the effect of rotation on the onset of phototactic bioconvection is investigated using linear stability theory for a suspension of forward-scattering phototactic algae in this article. The suspension is uniformly illuminated by collimated flux. The bio-convective instability is characterized by an unstable mode of disturbance that transitions from a stationary (overstable) to an overstable (stationary) state as the Taylor number varies under fixed parameters. It is also observed that the suspension has significant stabilizing effect due to rotation of the system.