Volume 12, Issue 3
The Dynamics of Suspended Rough Platelets in Shear Flows with Different Reynolds Numbers

Kai Liu, Qingsong Zou, Zhipeng Xu & Zhijun Tan

East Asian J. Appl. Math., 12 (2022), pp. 599-616.

Published online: 2022-04

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  • Abstract

The behaviour of platelet flows in plasma and the change of the platelet surfaces is studied by numerical simulations. In particular, the influence of the 2D platelets surface roughness and Reynolds number on the rotation of platelets is considered. Reynolds numbers $Re$ vary from 0.4 to 50 and it is noted that if $Re = 50,$ the 2D platelets stop rotating after 90$^{\circ}$ turn. If $0.4 ≤ Re ≤ 20,$ the rotation period increases along with the increase of Reynolds number. The maximum angular velocity, the minimum angular velocity and the rotation period of platelets depends on their roughness. However, these characteristics are little affected by the roughness if the Reynolds number is close to 1. It is also worth noting that the torque of 3D platelets is greater than the torque of 2D platelets.

  • Keywords

Curvilinear immersion boundary method, platelets, Reynolds number, roughness.

  • AMS Subject Headings

65M10, 78A48

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-12-599, author = {}, title = {The Dynamics of Suspended Rough Platelets in Shear Flows with Different Reynolds Numbers}, journal = {East Asian Journal on Applied Mathematics}, year = {2022}, volume = {12}, number = {3}, pages = {599--616}, abstract = {

The behaviour of platelet flows in plasma and the change of the platelet surfaces is studied by numerical simulations. In particular, the influence of the 2D platelets surface roughness and Reynolds number on the rotation of platelets is considered. Reynolds numbers $Re$ vary from 0.4 to 50 and it is noted that if $Re = 50,$ the 2D platelets stop rotating after 90$^{\circ}$ turn. If $0.4 ≤ Re ≤ 20,$ the rotation period increases along with the increase of Reynolds number. The maximum angular velocity, the minimum angular velocity and the rotation period of platelets depends on their roughness. However, these characteristics are little affected by the roughness if the Reynolds number is close to 1. It is also worth noting that the torque of 3D platelets is greater than the torque of 2D platelets.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.300621.131221 }, url = {http://global-sci.org/intro/article_detail/eajam/20409.html} }
TY - JOUR T1 - The Dynamics of Suspended Rough Platelets in Shear Flows with Different Reynolds Numbers JO - East Asian Journal on Applied Mathematics VL - 3 SP - 599 EP - 616 PY - 2022 DA - 2022/04 SN - 12 DO - http://doi.org/10.4208/eajam.300621.131221 UR - https://global-sci.org/intro/article_detail/eajam/20409.html KW - Curvilinear immersion boundary method, platelets, Reynolds number, roughness. AB -

The behaviour of platelet flows in plasma and the change of the platelet surfaces is studied by numerical simulations. In particular, the influence of the 2D platelets surface roughness and Reynolds number on the rotation of platelets is considered. Reynolds numbers $Re$ vary from 0.4 to 50 and it is noted that if $Re = 50,$ the 2D platelets stop rotating after 90$^{\circ}$ turn. If $0.4 ≤ Re ≤ 20,$ the rotation period increases along with the increase of Reynolds number. The maximum angular velocity, the minimum angular velocity and the rotation period of platelets depends on their roughness. However, these characteristics are little affected by the roughness if the Reynolds number is close to 1. It is also worth noting that the torque of 3D platelets is greater than the torque of 2D platelets.

Kai Liu, Qingsong Zou, Zhipeng Xu & Zhijun Tan. (2022). The Dynamics of Suspended Rough Platelets in Shear Flows with Different Reynolds Numbers. East Asian Journal on Applied Mathematics. 12 (3). 599-616. doi:10.4208/eajam.300621.131221
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