https://doi.org/10.1140/epjp/s13360-024-04880-2
Regular Article
A drag and lift passive control study of Carreau–Yasuda fluid in a channel with a cylinder rooted in a transient flow
1
Faculty of Basic Applied Sciences, Department of Mathematics, Air University, PAF Complex E-9, 44000, Islamabad, Pakistan
2
School of Mathematics, University of Minnesota, Twin Cities, 55455, Minneapolis, MN, USA
3
Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, 11586, Riyadh, Saudi Arabia
4
Department of Mathematics, Air University, PAF Complex E-9, 44000, Islamabad, Pakistan
5
Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, 13133, Zarqa, Jordan
Received:
6
February
2023
Accepted:
9
January
2024
Published online:
16
January
2024
The use of vertical splitter plates in fluid flow around obstacles in a channel is a strategy for passive control of flow energy. Current research has effectively used temporal and spatial discretization to address a transient flow in a channel that involves shear rate dependent nonlinear viscosity. The shear rate-dependent viscosity rheological model known as the Carreau–Yasuda fluid is addressed in the current layout. For the flow around a circular cylinder inside the channel, the coefficient of drag force (
) and the coefficient of lift force (
) illustrate a reliable dependence on 
and 
Furthermore, the geometrical height-to-diameter ratio 
and gap-to-diameter ratio 
and vertical upward displacement to the channel’s centreline 
, of the passive control plates employed upstream and downstream alone and simultaneously, are evidenced as controlling tools along with model parameters and 
. The attached splitter plate with minimum value of reduced 72% of experienced by the cylinder without plate (WSP). In addition, 89% enhancement of is witnessed by implementing simultaneous splitter plates with 
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
