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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com


Mathematical Model of Fluid Flow in a Channel with Reabsorption at Permeable Walls

Discontinuity, Nonlinearity, and Complexity 12(1) (2023) 13--21 | DOI:10.5890/DNC.2023.03.002

M. Varunkumar

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Abstract

In this article, the influence of reabsorption on steady flow of viscous incompressible Newtonian fluid through a permeable channel is presented. Perturbation solution is used to get the expressions for the velocities, mean pressure drop, shear stress at the wall and stream function. The influence of reabsorption on the velocities, wall shear stress, mean pressure drop and streamlines are discussed through graphs. The results of the model is applicable to the physiological problem of flow through renal tubules.

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