Peristaltic motion of third grade fluid in curved channel  

作　　者：S.HINA M.MUSTAFA T.HAYAT F.E.ALSAADI 

机构地区：[1]Department of Mathematical Sciences,Fatima Jinnah Women University [2]School of Natural Sciences (SNS),National University of Sciences and Technology (NUST) [3]Department of Mathematics,Quaid-i-Azam University [4]Department of Electrical and Computer Engineering,Faculty of Engineering

出　　处：《Applied Mathematics and Mechanics(English Edition)》2014年第1期73-84,共12页应用数学和力学（英文版）

摘　　要：＂ Analysis is performed to study the slip effects on the peristaltic flow of non-Newtonian fluid in a curved channel with wall properties. The resulting nonlinear partial differential equations are transformed to a single ordinary differential equation in a stream function by using the assumptions of long wavelength and low Reynolds number. This differential equation is solved numerically by employing the built-in routine for solving nonlinear boundary value problems （BVPs） through the software Mathematica. In addition, the analytic solutions for small Deborah number are computed with a regular perturbation technique. It is noticed that the symmetry of bolus is destroyed in a curved channel. An intensification in the slip effect results in a larger magnitude of axial velocity. Further, the size and circulation of the trapped boluses increase with an increase in the slip parameter. Different from the case of planar channel, the axial velocity profiles are tilted towards the lower part of the channel. A comparative study between analytic and numerical solutions shows excellent agreement.＂ Analysis is performed to study the slip effects on the peristaltic flow of non-Newtonian fluid in a curved channel with wall properties. The resulting nonlinear partial differential equations are transformed to a single ordinary differential equation in a stream function by using the assumptions of long wavelength and low Reynolds number. This differential equation is solved numerically by employing the built-in routine for solving nonlinear boundary value problems （BVPs） through the software Mathematica. In addition, the analytic solutions for small Deborah number are computed with a regular perturbation technique. It is noticed that the symmetry of bolus is destroyed in a curved channel. An intensification in the slip effect results in a larger magnitude of axial velocity. Further, the size and circulation of the trapped boluses increase with an increase in the slip parameter. Different from the case of planar channel, the axial velocity profiles are tilted towards the lower part of the channel. A comparative study between analytic and numerical solutions shows excellent agreement.

关 键 词：third grade fluid slip condition PERISTALSIS curved channel mathematicalmodeling 

分 类 号：O357.2[理学—流体力学]