title: Peristaltic transport of Carreau-Yasuda fluid in a curved channel with slip effects.
abstract: 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.
authors.affiliation: Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.
authors.forename: Tasawar
authors.initials: T
authors.lastname: Hayat
authors.affiliation: Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan.
authors.forename: Fahad Munir
authors.initials: FM
authors.lastname: Abbasi
authors.affiliation: Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.
authors.forename: Bashir
authors.initials: B
authors.lastname: Ahmad
authors.affiliation: Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.
authors.forename: Ahmed
authors.initials: A
authors.lastname: Alsaedi
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical
references.citation: J Biomech. 1999 Jun;32(6):601-8
references.pmid: 10332624
references.citation: J Biomech. 1999 Jul;32(7):705-13
references.pmid: 10400358