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.
