Hydrodynamical study of flow in a permeable channel: Application to flat plate dialyzer. (21st June 2019)

• Record Type: Journal Article
• Authors: Kahshan, Muhammad; Lu, Dianchen; Rahimi-Gorji, Mohammad
• Is Part Of: International journal of hydrogen energy. Volume 44:Number 31(2019)
• Page Start: 17041
• Page End: 17047
• Publication Date: 2019-06-21
• Subjects: Newtonian fluid -- Permeable channel -- Hydrodynamics -- Flat plate dialyzer -- Ultrafiltration rate; Hydrogen as fuel -- Periodicals; Hydrogène (Combustible) -- Périodiques; Hydrogen as fuel; Periodicals; 665.81
• DOI: 10.1016/j.ijhydene.2019.04.211
• Languages: English
• ISSNs: 0360-3199

Abstract

Abstract: This article investigates the problem of creeping motion of a Newtonian fluid in a permeable slit. The seepage velocity at the slit walls is assumed to obey the Darcy's law whereas the tangential velocity is taken in accordance with the Beaver's and Joseph's slip boundary condition. Exact solution of the hydrodynamical equations is obtained using the separation of variables technique. Expressions describing various quantities of interests are also derived. The influence of slip parameter is observed on the velocity and pressure field. The obtained results are applied to the physiological problem of blood flow in a flat plate dialyzer. Using the available data in the literature, theoretical values of filtration coefficient and the mean pressure drop in a flat plate dialyzer are computed and found to be in good agreement with the corresponding available experimental values. Highlights: The effect of wall-slip coefficient in the creeping flow of Newtonian fluid in a permeable channel should not be overlooked. The results show a closer agreement in the order of magnitude of the filtration with the values in a at plate dialyzer. In applying these results to study physiological flows, much more experimental and theoretical study is needed.