2023/02/01 by Sandeep Kumar
Engineering · #Fluid Dynamics and Turbulent Flows #Particle Dynamics in Fluid Flows #Thermoelastic and Magnetoelastic Phenomena
paper · doi:10.1063/5.0137447
openalex publication_date 2023/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21
In this article, we investigate a phototactic bioconvection model that includes both absorption and isotropic scattering in the suspension with the top and bottom boundaries assumed to be rigid. To solve the steady-state boundary value problem, a shooting method is used. Through the use of this model, a linear stability analysis is examined. Newton–Raphson–Kantorovich method of fourth order is used to investigate the linear stability of the system. The critical wavenumber is zero for vanishing scattering albedo and becomes non-zero as scattering albedo is increased. The system is more stable for the rigid upper surface than the stress-free upper surface.