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具有各向异性滑移、双组份化学反应和激活能的辐射纳米流体 3D 流中旋毛虫微生物的数值处理。

A numerical treatment of radiative nanofluid 3D flow containing gyrotactic microorganism with anisotropic slip, binary chemical reaction and activation energy.

机构信息

Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, China.

Department of Computer Science, Bahria University, Islamabad Campus, Islamabad, 44000, Pakistan.

出版信息

Sci Rep. 2017 Dec 5;7(1):17008. doi: 10.1038/s41598-017-16943-9.

Abstract

A numerical investigation of steady three dimensional nanofluid flow carrying effects of gyrotactic microorganism with anisotropic slip condition along a moving plate near a stagnation point is conducted. Additionally, influences of Arrhenius activation energy, joule heating accompanying binary chemical reaction and viscous dissipation are also taken into account. A system of nonlinear differential equations obtained from boundary layer partial differential equations is found by utilization of apposite transformations. RK fourth and fifth order technique of Maple software is engaged to acquire the solution of the mathematical model governing the presented fluid flow. A Comparison with previously done study is also made and a good agreement is achieved with existing results; hence reliable results are being presented. Evaluations are carried out for involved parameters graphically against velocity, temperature, concentration fields, microorganism distribution, density number, local Nusselt and Sherwood numbers. It is detected that microorganism distribution exhibit diminishing behavior for rising values of bio-convection Lewis and Peclet numbers.

摘要

对稳态三维纳米流体流动进行数值研究,其中考虑了各向异性滑移条件下沿静止点附近移动板的旋进微生物的影响。此外,还考虑了 Arrhenius 激活能、伴随二元化学反应的焦耳加热和粘性耗散的影响。通过适当的变换,从边界层偏微分方程得到了一个非线性微分方程组。利用 Maple 软件的 RK 四阶和五阶技术获得了所提出的流体流动的数学模型的解。还与以前的研究进行了比较,并与现有结果取得了很好的一致性;因此,呈现了可靠的结果。对涉及的参数进行了图形评估,这些参数包括速度、温度、浓度场、微生物分布、密度数、局部努塞尔数和舍伍德数。发现微生物分布随生物对流刘易斯数和 Peclet 数的增加而呈下降趋势。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7707/5717057/8cb0dec58588/41598_2017_16943_Fig1_HTML.jpg

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