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

Source: [Effects of oblique collimated irradiation on the onset of phototaxis-driven bioconvection in an isotropic porous medium](<https://www.sota2.com/research/paper/68fa49aa1e209131ce938b69>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T07:26:34.288Z

Authors: S. K. Rajput, M. K. Panda

Published: 2025-02-15T20:28:02.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2503.09603>)

[PDF](<https://arxiv.org/pdf/2503.09603.pdf>)