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生物对流达西-福希海默纳米流体流动的数值模拟及能量传递在可渗透垂直板上的应用

Numerical simulation of bioconvective Darcy Forchhemier nanofluid flow with energy transition over a permeable vertical plate.

机构信息

Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk, 71491, Saudi Arabia.

Nanotechnology Research Unit (NRU), University of Tabuk, Tabuk, 71491, Saudi Arabia.

出版信息

Sci Rep. 2022 Feb 25;12(1):3228. doi: 10.1038/s41598-022-07254-9.

DOI:10.1038/s41598-022-07254-9
PMID:35217768
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8881599/
Abstract

In biological systems, the MHD boundary layer bioconvection flow through permeable surface has several applications, including electronic gadgets, heating systems, building thermal insulation, geological systems, renewable energy, electromagnetism and nuclear waste. The bioconvection caused by the hydromagnetic flow of a special form of water-based nanoliquid including motile microorganisms and nanoparticles across a porous upright moving surface is investigated in this report. The combination of motile microbes and nanoparticles causes nanofluid bioconvection is studied under the cumulative impact of magnetic fields and buoyancy forces. The Brownian motion, thermophoresis effects, heat absorption/generation, chemical reaction and Darcy Forchhemier impact are also unified into the nonlinear model of differential equations. The modeled boundary value problem is numerically computed by employing a suitable similarity operation and the parametric continuation procedure. The parametric study of the flow physical parameters is evaluated versus the velocity, energy, volume fraction of nanoparticles, motile microorganisms' density, skin friction, Sherwood number and Nusselt number. It has been observed that the velocity profile reduces with the effect of porosity parameter k, inertial parameter k, Hartmann number and buoyancy ratio. While the energy transition profile significantly enhances with the flourishing values of Eckert number Ec, heat absorption/generation Q and Hartmann number respectively.

摘要

在生物系统中,MHD 边界层生物对流通过可渗透表面具有多种应用,包括电子小工具、加热系统、建筑隔热、地质系统、可再生能源、电磁学和核废料。本报告研究了包括运动微生物和纳米颗粒在内的特殊形式水基纳米流体在电磁流作用下通过多孔直立运动表面的生物对流。在磁场和浮力的累积影响下,研究了运动微生物和纳米颗粒组合引起的纳米流体生物对流。布朗运动、热泳效应、吸热/发热、化学反应和 Darcy Forchhemier 影响也被统一到非线性微分方程模型中。通过采用适当的相似操作和参数延续程序,对模型边界值问题进行了数值计算。针对速度、能量、纳米颗粒体积分数、运动微生物密度、摩擦阻力、舍伍德数和努塞尔数,对流动物理参数的参数研究进行了评估。观察到速度分布随着孔隙率参数 k、惯性参数 k、哈特曼数和浮力比的影响而减小。而能量传递分布则随着埃克特数 Ec、吸热/发热 Q 和哈特曼数的增加而显著增强。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8da9/8881599/b659f2d50017/41598_2022_7254_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8da9/8881599/fbf47d1af821/41598_2022_7254_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8da9/8881599/58eff914997b/41598_2022_7254_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8da9/8881599/741a97a0a97b/41598_2022_7254_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8da9/8881599/587f82445b5c/41598_2022_7254_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8da9/8881599/b659f2d50017/41598_2022_7254_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8da9/8881599/fbf47d1af821/41598_2022_7254_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8da9/8881599/58eff914997b/41598_2022_7254_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8da9/8881599/741a97a0a97b/41598_2022_7254_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8da9/8881599/587f82445b5c/41598_2022_7254_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8da9/8881599/b659f2d50017/41598_2022_7254_Fig5_HTML.jpg

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