Effect of Rotation in an Isotropic Scattering Algal Suspension with Oblique Collimated Irradiation

TL;DR

This study investigates how rotation influences the stability and behavior of isotropic scattering algal suspensions under oblique collimated light, revealing transitions between stationary and oscillatory instabilities.

Contribution

It provides a numerical analysis of the linear stability of rotating algal suspensions with oblique illumination, highlighting the effects of Taylor number on instability modes.

Findings

Transition from stationary to overstable modes with varying Taylor number

Observation of oscillatory instabilities at specific suspension heights

Rotation significantly affects the stability characteristics of the suspension

Abstract

The linear stability of a suspension of isotropic scattering phototactic algae is investigated numerically with particular emphasis on the effects of Taylor number in the rotating medium. The suspension is illuminated by the oblique collimated irradiation. The solutions show a transition of the most unstable mode from stationary to an overstable state or vice versa for certain parameters at the variation in the Taylor number. Oscillatory instabilities are also observed at the three-quarter height of the suspension for some parameters.