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热滑移影响下收缩薄板上的磁流体动力学流体流动与传热

Magnetohydrodynamic fluid flow and heat transfer over a shrinking sheet under the influence of thermal slip.

作者信息

Ahmad Saeed, Yousaf Muhammad, Khan Amir, Zaman Gul

机构信息

Department of Mathematics, University of Malakand Chakdara, Dir (L), Pakhtunkhwa, Pakistan.

Department of Mathematics and Statistics, University of Swat, Pakhtunkhwa, Pakistan.

出版信息

Heliyon. 2018 Oct 15;4(10):e00828. doi: 10.1016/j.heliyon.2018.e00828. eCollection 2018 Oct.

DOI:10.1016/j.heliyon.2018.e00828
PMID:30364604
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6197561/
Abstract

We study the heat transfer of a Magneto Hydrodynamic (MHD) boundary layer flow of a Newtonian fluid over a pervious shrinking sheet under the influence of thermal slip. The flow allows electric current to pass through. The governing PDEs are transformed into self-similar ODEs via Lie group analysis. We study the variations in the dimensionless quantities like velocity and temperature of the flow in terms of the different parameters involved in the problem. We discuss the thickness of the boundary layers under the influence of various parameters involved in the flow. Numerical simulations are carried out to explain and support the results obtained.

摘要

我们研究了在热滑移影响下，牛顿流体在可渗透收缩薄板上的磁流体动力学（MHD）边界层流动的传热问题。该流动允许电流通过。通过李群分析将控制偏微分方程转化为自相似常微分方程。我们根据问题中涉及的不同参数，研究了流动的无量纲量（如速度和温度）的变化。我们讨论了流动中各种参数影响下边界层的厚度。进行了数值模拟以解释和支持所获得的结果。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e9ce/6197561/c55e350948e6/gr007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e9ce/6197561/d6784973718c/gr001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e9ce/6197561/b36dbae921bf/gr002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e9ce/6197561/6a09b875b8ad/gr003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e9ce/6197561/a9b34ffa757f/gr004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e9ce/6197561/2c93f45f96fc/gr005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e9ce/6197561/30123859d1d1/gr006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e9ce/6197561/c55e350948e6/gr007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e9ce/6197561/d6784973718c/gr001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e9ce/6197561/b36dbae921bf/gr002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e9ce/6197561/6a09b875b8ad/gr003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e9ce/6197561/a9b34ffa757f/gr004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e9ce/6197561/2c93f45f96fc/gr005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e9ce/6197561/30123859d1d1/gr006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e9ce/6197561/c55e350948e6/gr007.jpg

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本文引用的文献

1
Lie group analysis of magnetohydrodynamic tangent hyperbolic fluid flow towards a stretching sheet with slip conditions.具有滑移条件的磁流体动力学正切双曲流体流向拉伸板的李群分析。
Heliyon. 2017 Nov 3;3(11):e00443. doi: 10.1016/j.heliyon.2017.e00443. eCollection 2017 Nov.
Activation energy and dual stratification effects for Walter-B fluid flow in view of Cattaneo-Christov double diffusionon.
基于卡塔尼奥-克里斯托夫双重扩散的沃尔特-B流体流动的活化能和双重分层效应
Heliyon. 2019 Jun 11;5(6):e01815. doi: 10.1016/j.heliyon.2019.e01815. eCollection 2019 Jun.