Effects of oblique collimated irradiation on the onset of phototaxis-driven bioconvection in an isotropic porous medium
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915195274657792 |
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| author | Rajput, S. K. Panda, M. K. |
| author_facet | Rajput, S. K. Panda, M. K. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_09603 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effects of oblique collimated irradiation on the onset of phototaxis-driven bioconvection in an isotropic porous medium Rajput, S. K. Panda, M. K. Soft Condensed Matter 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. |
| title | Effects of oblique collimated irradiation on the onset of phototaxis-driven bioconvection in an isotropic porous medium |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2503.09603 |