标题： 各向同性多孔介质中从上方加热的热光趋性生物对流 显示英文标题

标题： Thermal phototactic bioconvection in an isotropic porous medium heated from above

摘要： 这项研究使用Darcy-Brinkman模型，探讨了各向同性多孔介质中的热光趋性生物对流。 介质的顶部边界暴露于正常准直光并受到加热。 采用四阶精度的有限差分方案，对生物-热对流进行了线性分析，并使用牛顿-拉夫森-坎托罗维奇迭代法处理刚性-自由和刚性-刚性边界条件。 研究考察并以图形方式展示了Lewis数、达西数和热瑞利数对生物对流过程的影响。 研究结果表明，增加热瑞利数会稳定悬浮液，而较高的Lewis数则增强不稳定性。 显示英文摘要

摘要： This study investigates thermal phototactic bioconvection in an isotropic porous medium using the Darcy-Brinkman model. The top boundary of the medium is exposed to normal collimated light and subjected to heating. A linear analysis of bio-thermal convection is performed using a fourth-order accurate finite difference scheme, employing Newton-Raphson-Kantorovich iterations for both rigid-free and rigid-rigid boundary conditions. The effects of the Lewis number, Darcy number, and thermal Rayleigh number on bioconvective processes are examined and presented graphically. The findings reveal that increasing the thermal Rayleigh number stabilizes the suspension, whereas a higher Lewis number enhances instability.