Creeping Flow of Viscous Fluid through a Porous Permeable Slit with Exponential Reabsorption

Abstract

Creeping flow across a porous channels occur in a diverse number of physical phenomena like filtration plants in engineering and industry, glomerular tubule filtration, proximal tubule reabsorption etc. There are a great many studies in literature that address the creeping flow of Newtonian liquid through porous cut, but corresponding studies for flow through porous media are unaccounted for. To address this space in ongoing research literature, we have done to execute the analytical study of creeping flow of viscous liquid through a slit with porous walls where the reabsorption function is exponential. The study is motivated by diseased proximal convoluted tubule in context, where the tubular space acts as a porous medium due to disease. Modeling is the first step of present work which interprets the physical problem into mathematical form. Then the resulting complex differential equations we solved to obtain exact solutions. Physical quantities like components of velocity, pressure distribution, leakage flux and fractional reabsorption are evaluated. Finally we present the graphical analysis of the obtained results.