趋旋性微生物在幂律流体饱和水平多孔层中的热-生物对流稳定性分析

戴德宣; 王少伟

doi:10.21656/1000-0887.390298

趋旋性微生物在幂律流体饱和水平多孔层中的热-生物对流稳定性分析

doi: 10.21656/1000-0887.390298

山东大学土建与水利学院, 济南 250061

基金项目: 国家自然科学基金（11672164）

详细信息

作者简介:
戴德宣（1994—），男，硕士生(E-mail: 775113242@qq.com)；王少伟（1980—），男，教授，博士，博士生导师(通讯作者. E-mail: shaoweiwang@sdu.edu.cn).

中图分类号: O357.3; O373
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出版历程
- 收稿日期: 2018-11-21
- 修回日期: 2018-12-17
- 刊出日期: 2019-08-01

Linear Stability Analysis on Thermo-Bioconvection of Gyrotactic Microorganisms in a Horizontal Porous Layer Saturated by a Power-Law Fluid

School of Civil Engineering, Shandong University, Jinan 250061, P.R.China

Funds: The National Natural Science Foundation of China（11672164）

摘要

摘要: 基于趋旋性微生物和幂律流体模型，研究了在含有非Newton流体饱和多孔介质中生物对流的线性稳定性问题.利用Galerkin数值方法求解了该系统的控制方程，得到生物Rayleigh数的数值解，讨论了非Newton流体的幂律指数对生物对流稳定性在假塑性流体和膨胀性流体间的变化规律.研究结果表明，随着幂律流体的速度增大，幂律指数对生物对流稳定性的影响会发生变化，并且这种变化会受到热Rayleigh数和生物Lewis数的影响.另外，微生物趋旋性特征越明显，生物对流系统就越不稳定，而适当增大非Newton流体的幂律指数则有利于系统的稳定性.
- 生物对流 /
- 幂律流体 /
- 趋旋性 /
- 多孔介质 /
- Galerkin方法
Abstract: To study the stability of bioconvection in a non-Newtonian fluid-saturated porous medium, the linear stability analysis with the model for gyrotactic microorganisms and power-law fluids was carried out. Based on the Galerkin method, the governing equation was solved to get the numerical solution of the biological Rayleigh number, which represents the stability of bioconvection. The effects of various parameters on the change of power-law indexes were studied in detail. It is concluded that, as the fluid velocity increases, the influence of the power-law index on the stability of the bioconvection will change, and this change will be affected by the thermal Rayleigh number and the biological Lewis number. The results also show that, as the gyrotactic capability of microorganisms increases, the bioconvection stability will decrease, and properly increasing the power-law index is conducive to the stability.
- bioconvection /
- power-law fluid /
- gyrotactic capability /
- porous medium /
- Galerkin method

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参考文献(15)

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趋旋性微生物在幂律流体饱和水平多孔层中的热-生物对流稳定性分析

doi: 10.21656/1000-0887.390298

作者简介:
戴德宣（1994—），男，硕士生(E-mail: 775113242@qq.com)；王少伟（1980—），男，教授，博士，博士生导师(通讯作者. E-mail: shaoweiwang@sdu.edu.cn).

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Linear Stability Analysis on Thermo-Bioconvection of Gyrotactic Microorganisms in a Horizontal Porous Layer Saturated by a Power-Law Fluid

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留言板

趋旋性微生物在幂律流体饱和水平多孔层中的热-生物对流稳定性分析

doi: 10.21656/1000-0887.390298

作者简介: 戴德宣（1994—），男，硕士生(E-mail: 775113242@qq.com)；王少伟（1980—），男，教授，博士，博士生导师(通讯作者. E-mail: shaoweiwang@sdu.edu.cn).

计量

出版历程

Linear Stability Analysis on Thermo-Bioconvection of Gyrotactic Microorganisms in a Horizontal Porous Layer Saturated by a Power-Law Fluid

计量

出版历程

目录

作者简介:
戴德宣（1994—），男，硕士生(E-mail: 775113242@qq.com)；王少伟（1980—），男，教授，博士，博士生导师(通讯作者. E-mail: shaoweiwang@sdu.edu.cn).