非散射悬浮液中的顶部加热：准直辐照下的趋光生物对流
Heating from Above in Non-scattering Suspensions: Phototactic Bioconvection under Collimated Irradiation
AI总结：
本研究针对顶部加热的非散射悬浮液，用数值方法分析准直辐照下趋光生物对流的线性稳定性，揭示了参数对临界瑞利数及稳态-振荡态转变、分岔等动力学行为的影响。
摘要：
本研究考察了顶部加热、准直辐照的非散射悬浮液中的趋光生物对流，深入探究了受光线与微生物影响的复杂动力学。研究聚焦于基态的线性稳定性，分析了中性曲线。数值分析采用MATLAB bvp4c求解器求解方程组。研究考察了热瑞利数、临界总强度、Lewis数等参数对临界生物对流瑞利数的影响。观察到随着临界总强度变化，解会从稳态向振荡态转变（反之亦然）。模型纳入了趋光微生物，结果表明参数变化会影响对流模式与稳定性。研究发现了Hopf分岔、极限环等有趣现象。
英文摘要：
Examining phototactic bioconvection in non-scattering suspensions with upper heating and collimated irradiation, this study delves into the intricate dynamics influenced by light and microorganisms. The study focuses on the linear stability of the basic state, examining neutral curves. The numerical analysis involves solving a system of equations using the MATLAB bvp4c solver. The investigation considers the impact of parameters, such as the thermal Rayleigh number, critical total intensity, and Lewis number, on the critical bioconvection Rayleigh number. As the critical total intensity varies, a transition from a stationary to an oscillatory solution (and vice versa) is observed. Phototactic microorganisms are incorporated into the model, and results show how varying parameters affect convection patterns and stability. The findings reveal interesting phenomena, including Hopf bifurcations and limit cycles.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
