Effect of rotation on the suspension of phototactic bioconvection

Abstract

In this article, we examine the effect of rotation on the suspension of the phototactic bioconvection model. Around a vertical axis, the suspension is rotated at a uniform angular velocity. During the study, two distinct combinations of the upper boundary conditions were considered. In order to solve the eigenvalue problem, the Newton–Raphson–Kantorovich finite difference method of order four is used. Linear analysis of the basic state is performed using neutral curves. We found that rotation has stabilizing effects on the system. According to observations, rigid boundaries should be preferred over other types of boundaries for preventing convection as they stabilize it more quickly. The results demonstrate a change in the most unstable mode from an overstable to a stationary state for particular parameters in response to a variation in the Taylor number. The rigid upper surface case often exhibits oscillatory instabilities at Taylor number increments. The impacts of the various other factors on the system's instability are discussed in detail for both upper boundaries.