Numerical simulation of peristaltic flow of a biorheological fluid with shear-dependent viscosity in a curved channel

Abstract

Peristaltic motion of a non-Newtonian Carreau fluid is analyzed in a curved channel under the long wavelength and low Reynolds number assumptions, as a simulation of digestive transport. The flow regime is shown to be governed by a dimensionless fourth-order, nonlinear, ordinary differential equation subject to no-slip wall boundary conditions. A well-tested finite difference method based on an iterative scheme is employed for the solution of the boundary value problem. The important phenomena of pumping and trapping associated with the peristaltic motion are investigated for various values of rheological parameters of Carreau fluid and curvature of the channel. An increase in Weissenberg number is found to generate a small eddy in the vicinity of the lower wall of the channel, which is enhanced with further increase in Weissenberg number. For shear-thinning bio-fluids (power-law rheological index, n < 1) greater Weissenberg number displaces the maximum velocity toward the upper wall. For shear-thickening bio-fluids, the velocity amplitude is enhanced markedly with increasing Weissenberg number.

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“…This approach is generally quite efficient and further elaboration is given by Hoffmann and Chiang . Further details for other nonlinear multiphysical problems have been documented elsewhere …”

“…33 Further details for other nonlinear multiphysical problems have been documented elsewhere. [34][35][36][37][38]…”

Computational modeling of heat transfer in an annular porous medium solar energy absorber with the P1-radiative differential approximation

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Thermal slip and radiative heat transfer effects on electro‐osmotic magnetonanoliquid peristaltic propulsion through a microchannel

“…Many researchers subsequently extended these studies to consider alternative geometries and increasingly more sophisticated fluids. These include Haroun (fourth order fluids in inclined channels), Mekheimer et al (endoscopic couple stress annular flows), Hayat et al (third grade viscoelastic peristaltic flow), Bég et al (hydromagnetic pumping of magnetic Williamson elastic‐viscous liquids), Srinivas and Kothandapani (thermal convection in peristaltic flow), Kothandapani and Srinivas (peristaltic pumping in porous tilted channels), Hayat et al (micropolar endoscopic flow), Vajravelu et al (viscoplastic peristaltic flow with peripheral Newtonian flow), and Ali et al (Carreau shear‐dependent peristaltic flow in coiled channels).…”