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渗透率对在斯托克斯 - 布林克曼介质中振荡的两个球体之间相互作用的影响。

Effect of the permeability on the interaction between two spheres oscillating through Stokes-Brinkmann medium.

作者信息

Albalawi Wedad, Taha Hala H, El-Sapa Shreen

机构信息

Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O.Box 84428, Riyadh 11671, Saudi Arabia.

Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt.

出版信息

Heliyon. 2023 Mar 15;9(3):e14396. doi: 10.1016/j.heliyon.2023.e14396. eCollection 2023 Mar.

DOI:10.1016/j.heliyon.2023.e14396
PMID:36950582
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10025905/
Abstract

The effect of permeability on the rectilinear oscillations of two rigid spheres moving through an unbounded viscous fluid about their axis of symmetry with no slip is investigated. A collocation technique was employed to execute the conditions on the surfaces of the rigid spheres. The in-phase and out-phase forces are obtained and expressed graphically for various parameters. In addition, the streamlines are plotted for different relevant parameters. The limiting cases of Stokes and Darcy's flows are discussed.

摘要

研究了渗透率对两个刚性球体在无界粘性流体中绕其对称轴作直线振荡且无滑移时的影响。采用配置技术来满足刚性球体表面的条件。得到了同相和异相力，并针对各种参数以图形方式表示。此外，还绘制了不同相关参数下的流线。讨论了斯托克斯流和达西流的极限情况。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/03ea/10025905/668b30f18315/gr008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/03ea/10025905/202c468ae59a/gr001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/03ea/10025905/d833370b530a/gr002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/03ea/10025905/e006e42e7334/gr003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/03ea/10025905/2186687eeccc/gr004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/03ea/10025905/65273414dbdd/gr005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/03ea/10025905/af69a70ccbe0/gr006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/03ea/10025905/411ba0344751/gr007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/03ea/10025905/668b30f18315/gr008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/03ea/10025905/202c468ae59a/gr001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/03ea/10025905/d833370b530a/gr002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/03ea/10025905/e006e42e7334/gr003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/03ea/10025905/2186687eeccc/gr004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/03ea/10025905/65273414dbdd/gr005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/03ea/10025905/af69a70ccbe0/gr006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/03ea/10025905/411ba0344751/gr007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/03ea/10025905/668b30f18315/gr008.jpg

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本文引用的文献

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Forces on a porous particle in an oscillating flow.振荡流中多孔颗粒上的力。
J Colloid Interface Sci. 2009 Feb 1;330(1):149-55. doi: 10.1016/j.jcis.2008.10.050. Epub 2008 Nov 1.