An asymptotic solution of rotating bio-convection (rcb) in a suspension of phototactic algae

This paper deals with the asymptotic analysis of Rotation Bio convection (RBC) in a suspension of phototactic algae. Bioconvection is an interesting pattern-forming phenomenon driven by the swimming activity of various aquatic micro organisms. In fact, bioconvection is a robust phenomenon and is one of the oldest documented collective behavior of independent microorganisms. Further, positive phototaxis consists of motions directed toward the source of illumination and negative phototaxis is, the motion directed away from it. The asymptotic analysis was carried up to the fourth order approximation and the cumulative effect of Taylor number and the other governing parameters on the stability conditions as well as on the different profiles was remarkable. The computed results were presented through graphs and are in excellent agreement with the available results in the limiting case.