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含激活能的磁各向异性纳米流体中具有旋进运动微生物的生物对流流动的数值研究。

Numerical study of bio-convection flow of magneto-cross nanofluid containing gyrotactic microorganisms with activation energy.

机构信息

Department of Mathematics, Huzhou University, Huzhou, 313000, People's Republic of China.

Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000, Pakistan.

出版信息

Sci Rep. 2021 Aug 6;11(1):16030. doi: 10.1038/s41598-021-95587-2.

DOI:10.1038/s41598-021-95587-2
PMID:34362971
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8346499/
Abstract

In this study, a mathematical model is developed to scrutinize the transient magnetic flow of Cross nanoliquid past a stretching sheet with thermal radiation effects. Binary chemical reactions and heat source/sink effects along with convective boundary condition are also taken into the consideration. Appropriate similarity transformations are utilized to transform partial differential equations (PDE's) into ordinary ones and then numerically tackled by shooting method. The impacts of different emerging parameters on the thermal, concentration, velocity, and micro-rotation profiles are incorporated and discussed in detail by means of graphs. Results reveal that, the escalation in magnetic parameter and Rayleigh number slowdowns the velocity and momentum of the fluid. The increase in Biot number, radiation and heat sink/source parameters upsurges the thermal boundary but, converse trend is seen for escalating Prandtl number. The density number of motile microorganisms acts as a growing function of bioconvection Lewis number and declining function of bioconvection Peclet number.

摘要

在这项研究中，建立了一个数学模型来仔细研究 Cross 纳米流体在具有热辐射效应的拉伸片上的瞬态磁场流动。还考虑了二元化学反应和热源/汇效应以及对流边界条件。利用适当的相似变换将偏微分方程（PDE）转化为常微分方程，然后通过打靶法进行数值求解。通过图形详细讨论了不同出现参数对热、浓度、速度和微观旋转分布的影响。结果表明，磁场参数和瑞利数的增加会减缓流体的速度和动量。比热数、辐射和热汇/源参数的增加会增加热边界，但普朗特数的增加则会出现相反的趋势。游动微生物的密度数是生物对流刘易斯数的增函数，是生物对流佩克莱特数的减函数。

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