title: Peristaltic motion of Johnson-Segalman fluid in a curved channel with slip conditions.
abstract: Slip effects on the peristaltic transport of Johnson-Segalman fluid through a curved channel have been addressed. The influence of wall properties is also analyzed. Long wavelength and low Reynolds number assumptions have been utilized in the mathematical formulation of the problem. The equations so formed have been solved numerically by shooting method through computational software Mathematica 8. In addition the analytic solution for small Weissenberg number (elastic parameter) is computed through a regular perturbation method. An excellent agreement is noticed between the two solutions. The results indicate an increase in the magnitude of velocity with an intensification in the slip effect. Moreover the size and circulation of the trapped boluses increase with an increase in the slip parameter. Unlike the planar channel, the profiles of axial velocity are not symmetric about the central line of the channel.
authors.affiliation: Department of Mathematical Sciences, Fatima Jinnah Women University, Rawalpindi, Pakistan.
authors.forename: Sadia
authors.initials: S
authors.lastname: Hina
authors.affiliation: School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Islamabad, Pakistan.
authors.forename: Meraj
authors.initials: M
authors.lastname: Mustafa
authors.affiliation: Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, Pakistan; Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.
authors.forename: Tasawar
authors.initials: T
authors.lastname: Hayat
mesh_terms: D001826:Body Fluids / Q000502:physiology*; D003196:Computer Graphics; D057446:Hydrodynamics; D008954:Models, Biological; D009068:Movement; D010528:Peristalsis; D012984:Software