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Peristaltic Transport of Carreau-Yasuda Fluid in a Curved Channel with Slip Effects

2014; Public Library of Science; Volume: 9; Issue: 4 Linguagem: Inglês

10.1371/journal.pone.0095070

1932-6203

Tasawar Hayat, F. M. Abbasi, Bashir Ahmad, Ahmed Alsaedi,

Fluid Dynamics and Vibration Analysis

The wide occurrence of peristaltic pumping should not be surprising at all since it results physiologically from neuro-muscular properties of any tubular smooth muscle. Of special concern here is to predict the rheological effects on the peristaltic motion in a curved channel. Attention is focused to develop and simulate a nonlinear mathematical model for Carreau-Yasuda fluid. The progressive wave front of peristaltic flow is taken sinusoidal (expansion/contraction type). The governing problem is challenge since it has nonlinear differential equation and nonlinear boundary conditions even in the long wavelength and low Reynolds number regime. Numerical solutions for various flow quantities of interest are presented. Comparison for different flow situations is also made. Results of physical quantities are interpreted with particular emphasis to rheological characteristics.