Effect of rotation at the bio-convective instability in a suspension of isotropic scattering phototactic algae

TL;DR

This paper investigates how rotation influences bio-convective instability in a suspension of phototactic algae, revealing that rotation acts as a stabilizing factor through linear stability analysis.

Contribution

It introduces a linear stability analysis of phototactic algae suspension considering rotation, highlighting its stabilizing effect on bio-convective instability.

Findings

Rotation stabilizes the bio-convective instability.

Both stationary and oscillatory instabilities are analyzed.

The study focuses on collimated light and phototactic behavior.

Abstract

The impact of rotation on the bio-convective instability in a phototactic algal suspension is investigated through a linear stability analysis in this article. The study primarily focuses on the suspension's phototactic behavior, which refers to the movement of microorganisms towards or away from light. In conditions of low light, microorganisms exhibit positive phototaxis, moving towards the light source, whereas in intense light, they display negative phototaxis, moving away from the light source. The study specifically examines a suspension that is illuminated by collimated flux, with a constant radiation intensity applied to the top surface. The stability analysis is conducted through the implementation of linear perturbation theory, which enables the prediction of both stationary and oscillatory characteristics of the bio-convective instability at the onset of biocnvection. It is observed that rotation plays a significant stabilizing role in the system.