A Study of Creeping Sinusoidal Flow of Bio-Rheological Fluids through a Two-Dimensional High Permeability Medium Channel
DOI:
https://doi.org/10.12970/2311-1755.2013.01.02.2Keywords:
Sinusoidal wave propagation, Couple stress fluid, Porous channel, Stream lines, Cerebral diseased hemodynamics, Gastric flow.Abstract
The creeping sinusoidal flow of non-Newtonian couple stress fluids in a two-dimensional porous medium channel with deformable walls, is investigated as a model of peristaltic physiological gastric transport. A mathematical model is developed which is also applicable to hemodynamics of diseased arteries. The assumptions of long wavelength and low Reynolds number approximation are employed for creeping (viscous-dominated) flow. Solutions for axial velocity, volumetric flow rate, pressure gradient and stream function are obtained. The influence of couple stress rheological parameter and permeability parameter on velocity profile, pressure gradient and stream lines patterns are computed with the aid of Mathematica Software.
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