European Journal of Mechanics - B/Fluids ( IF 2.5 ) Pub Date : 2021-07-20 , DOI: 10.1016/j.euromechflu.2021.07.006 Jabrane Belabid , Karam Allali
The present investigation centers around a numerical study of the impact of the presence of phototactic microorganisms on the thermo-bioconvection inside a wavy-walled horizontal porous annulus that is saturated with a Newtonian fluid. Consequently, an equation describing the movement of the microorganism cells is added to the mathematical model of natural convection. The thermal equilibrium, Oberbeck–Boussinesq approximations and Darcy law are taken into consideration. The transformed dimensionless partial differential equations with the temperature-concentration-stream function formulation are discretized applying the alternate direction implicit finite difference scheme. Results confirm that in the absence of microorganisms the Nusselt number decreases with the increase of the amplitude of wall waviness. It was also observed that the wall waviness influence the thermo-bioconvective instabilities and the flow regime structure.
中文翻译:
水平波浪壁多孔环中的热生物对流
目前的研究围绕着对趋光微生物的存在对被牛顿流体饱和的波浪壁水平多孔环空内的热生物对流的影响进行的数值研究。因此,描述微生物细胞运动的方程被添加到自然对流的数学模型中。考虑了热平衡、Oberbeck-Boussinesq 近似和达西定律。应用交替方向隐式有限差分格式对具有温度-浓度-流函数公式的变换后的无量纲偏微分方程进行离散化。结果证实,在没有微生物的情况下,努塞尔数随着壁波纹幅度的增加而降低。