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ISSN: 2475-4811 (print)
ISSN: 2475-482X (online)
Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland

Email: pawel.olejnik@p.lodz.pl

C. Steve Suh (editor)

Texas A&M University, USA

Email: ssuh@tamu.edu

Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China

Email: tuoxianguo@suse.edu.cn

Flow in a Permeable Walled Channel with Influence of Slip Velocity and Reabsorption at Boundaries

Journal of Vibration Testing and System Dynamics 9(4) (2025) 321--331 | DOI:10.5890/JVTSD.2025.12.002

M. Varunkumar

Department of Mathematics, School of Advanced Sciences, VIT-AP University, Amaravati-522237. Andhra Pradesh, India

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Abstract

This paper presents the steady flow of a viscous incompressible fluid within a channel with effects of slip and reabsorption at the permable walls. The fluid flux across the wall that is the reabsorption assumed as a function of axial length which is a crucial process in biological systems. To obtain approximations for fluid flow variables the regular perturbation method is applied. The reabsorption process and slip coefficient have a significant impact on flow variables like velocities, pressure drop, and wall shear stress (WSS) and these effects are illustrated though the figures. It is found that when reabsorption and slip increase the profiles of pressure drop and wall shear stress decrease. Furthermore the fluid flow velocity in the channel is depicted by the contour plots of the stream function. This consideration of both slip and reabsorption effects may apply to physiological processes such as renal tubule flows and blood flow through the vessels. The obtained computations show agreement with previous works as the slip coefficient tends to zero.

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