Peristaltic transport of pseudoplastic fluid in a curved channel with wall properties and slip conditions  

作　　者：S. Hina T. Hayat M. Mustafa A. Alsaedi 

机构地区：[1]Department of Mathematical Sciences Fatima Jinnah Women University Rawalpindi 56000, Pakistan [2]Department of Mathematics Quaid-I-Azam University45320, Islamabad 44000, Pakistan [3]Department of Mathematics, Faculty of Science King Abdulaziz University P. O. Box 80257, Jeddah 21589, Saudi Arabia [4]National University of Sciences and Technology (NUST) Sector H-12, Islamabad, Pakistan

出　　处：《International Journal of Biomathematics》2014年第2期63-78,共16页生物数学学报（英文版）

摘　　要：Effects of wall properties and slip condition on the peristaltic flow of an incompressible pseudoplastic fluid in a curved channel are studied. Series solution of the governing problem is obtained after applying long wavelength and low Reynolds number approximations. The results are validated with the numerical solutions through the built-in routine for solving nonlinear boundary value problems via software Mathematica. The variations of different parameters on axial velocity are carefully analyzed. Behaviors of embedding parameters on the dimensionless stream function are also discussed. It is noted that the axial velocity and size of trapped bolus increases with an increase in slip parameter. It is also observed that the profiles of axial velocity are not symmetric about the central line of the curved channel which is different from the case of planar channel.

关 键 词：Shear-thinning fluid compliant wall nonlinear boundary-value problem series solution curved channel peristalsis. 

分 类 号：O175.8[理学—数学] TS79[理学—基础数学]