Abstract:
This article presents a numerical study on oscillating peristaltic flow of generalized
Maxwell fluids through a porous medium. A sinusoidal model is employed for the
oscillating flow regime. A modified Darcy-Brinkman model is utilized to simulate the flow
of a generalized Maxwell fluid in a homogenous, isotropic porous medium. The governing
equations are simplified by assuming long wavelength and low Reynolds number approximations.
The numerical and approximate analytical solutions of the problem are obtained
by a semi-numerical technique, namely the homotopy perturbation method. The influence
of the dominating physical parameters such as fractional Maxwell parameter, relaxation
time, amplitude ratio, and permeability parameter on the flow characteristics are depicted
graphically. The size of the trapped bolus is slightly enhanced by increasing the magnitude of
permeability parameter whereas it is decreased with increasing amplitude ratio. Furthermore,
it is shown that in the entire pumping region and the free pumping region, both volumetric
flow rate and pressure decrease with increasing relaxation time, whereas in the co-pumping
region, the volumetric flow rate is elevated with rising magnitude of relaxation time.
