Effects of oblique collimated irradiation on the onset of phototaxis-driven bioconvection in an isotropic porous medium

Abstract

In this study, we investigate the effects of oblique collimated irradiation on the onset of phototaxis-driven bioconvection in an isotropic porous medium. A linear stability analysis is conducted to assess the system's stability under fixed parameter values. The resulting eigenvalue problem is numerically solved using a fourth-order accurate finite difference scheme combined with Newton-Raphson-Kantorovich iterations. The results indicate that the system exhibits increased instability as the angle of incidence rises for a given Darcy number. Additionally, the critical Rayleigh number is found to be higher when a rigid top wall is considered compared to a stress-free top wall, suggesting that the suspension attains greater stability in the presence of a rigid top boundary.