In this paper, the bioconvective nanofluid flow in a porous square cavity containing gyrotactic microorganisms in the presence of heat generation/absorption is investigated. The bioconvection flow in porous medium is formulated based on Darcy model of Boussinesq approximation. Galerkin finite elements method is employed to solve the governing equations. The numerical results are obtained and discussed the effect of parameters such as Rayleigh number Ra, bioconvection number Rayleigh number Rb, Peclet number Pe, Lewis number Le, Brownian motion Nb, Thermophoresis Nt, Schmidt number Sc, Prandtl number Pr, heat generation/absorption Q and buoyancy ratio Nr. Also, the average Sherwood number, average Nusselt number and average density number are discussed. The present solutions are validated with existing studies under limited cases. It is found that Peclet number and buoyancy ratio show a significant increasing effect on the streamlines, isotherms, isoconcentrations of nanoparticles and microorganisms. The heat generation/absorption reverses the patterns of the flow, temperature distribution and isoconcentrations of nanoparticles and microorganisms.

在本文中，研究了在存在生热/吸收存在的情况下，在包含旋涡状微生物的多孔方腔中的生物对流纳米流体流动。基于Boussinesq逼近的Darcy模型，公式化了多孔介质中的生物对流。采用Galerkin有限元法求解控制方程。获得数值结果并讨论了诸如瑞利数Ra，生物对流数瑞利数Rb，佩克利数Pe，路易斯数Le，布朗运动Nb，热泳Nt，施密特数Sc，普朗特数Pr，热产生/吸收等参数的影响Q和浮力比Nr。此外，还讨论了平均舍伍德数，平均努塞尔数和平均密度数。在有限的情况下，通过现有研究对本解决方案进行了验证。发现Peclet数和浮力比对流线，等温线，纳米颗粒和微生物的等浓度表现出显着的增加作用。热量的产生/吸收改变了纳米颗粒和微生物的流动，温度分布和等浓度模式。