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磁微极纳米流体振荡斜驻点流动的数值模拟

Numerical simulation of oscillatory oblique stagnation point flow of a magneto micropolar nanofluid.

作者信息

Sadiq Muhammad Adil, Khan Arif Ullah, Saleem S, Nadeem S

机构信息

Department of Mathematics, DCC-KFUPM Box 5084 Dhahran 31261 Saudi Arabia.

Department of Mathematics, Quaid-i-Azam University 45320 Islamabad 44000 Pakistan

出版信息

RSC Adv. 2019 Feb 6;9(9):4751-4764. doi: 10.1039/c8ra09698h. eCollection 2019 Feb 5.

DOI:10.1039/c8ra09698h
PMID:35514636
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9060680/
Abstract

The particular inquiry is made to envision the characteristics of magneto-hydrodynamic oscillatory oblique stagnation point flow of micropolar nanofluid. The applied magnetic field is assumed parallel towards isolating streamline. A relative investigation is executed for copper and alumina nanoparticles while seeing water type base fluid. To be more specific, in the presence of both weak and strong concentration, the physical situation of micropolar fluid is mathematically modeled in terms of differential equations. The transformed mixed system is finally elucidated by midpoint method with the Richardson extrapolation development and shooting mechanism with fifth order R-K Fehlberg technique. The impact of governing parameters are shown and explored graphically. The obtained results are compared with existing published literature. Moreover, it is found that the magnetic susceptibility of nanofluids shows provoking nature towards copper as compared to Alumina. Also it is perceived that Cu-water shows higher wall shear stress and heat transfer rate than AlO-water. Additional, the thickness of momentum boundary layer is thin for weak concentration as related to strong concentration.

摘要

进行特定的研究以设想微极纳米流体的磁流体动力振荡斜滞点流动的特性。假设施加的磁场平行于隔离流线。在以水型基液为介质的情况下，对铜和氧化铝纳米颗粒进行了相关研究。更具体地说，在弱浓度和强浓度同时存在的情况下，根据微分方程对微极流体的物理情况进行了数学建模。最终通过带有理查森外推法的中点法和具有五阶龙格 - 库塔 - 费尔贝格技术的打靶法求解变换后的混合系统。通过图形展示并探究了控制参数的影响。将所得结果与已发表的现有文献进行了比较。此外，发现与氧化铝相比，纳米流体对铜的磁化率表现出激发特性。还观察到铜 - 水比氧化铝 - 水表现出更高的壁面剪应力和传热速率。另外，与强浓度相比，弱浓度下动量边界层的厚度较薄。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8a1c/9060680/d1d9d229f7c0/c8ra09698h-f9.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8a1c/9060680/4b496abacc94/c8ra09698h-f1.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8a1c/9060680/7cef205be15e/c8ra09698h-f4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8a1c/9060680/0af144002f88/c8ra09698h-f5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8a1c/9060680/0acd5857bdc9/c8ra09698h-f6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8a1c/9060680/3e1f6ba19a9a/c8ra09698h-f7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8a1c/9060680/981ec49ebb96/c8ra09698h-f8.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8a1c/9060680/d1d9d229f7c0/c8ra09698h-f9.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8a1c/9060680/4b496abacc94/c8ra09698h-f1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8a1c/9060680/a085c2fb53b1/c8ra09698h-f2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8a1c/9060680/4a67b2ccbb5f/c8ra09698h-f3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8a1c/9060680/7cef205be15e/c8ra09698h-f4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8a1c/9060680/0af144002f88/c8ra09698h-f5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8a1c/9060680/0acd5857bdc9/c8ra09698h-f6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8a1c/9060680/3e1f6ba19a9a/c8ra09698h-f7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8a1c/9060680/981ec49ebb96/c8ra09698h-f8.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8a1c/9060680/d1d9d229f7c0/c8ra09698h-f9.jpg

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