Peristaltic transport of a MHD Carreau fluid in a tapered asymmetric channel with permeable walls  

作　　者：M. Kothandapani J. Prakash S. Srinivas 

机构地区：[1]Department of Mathematics University College of Engineering Arni (A Constituent College of Anna University, Chennai) Arni 632 326, Tamil Nadu, India [2]Department of MathematicsArulmigu Meenakshi Amman College of Engineering Vadamavandal 604410, Tamil Nadu, India [3]School of Science and Humanities, VIT University Vellore 632 015, Tamil Nadu, India

出　　处：《International Journal of Biomathematics》2015年第4期205-235,共31页生物数学学报（英文版）

摘　　要：The effect of permeable walls and magnetic field on the peristaltic flow of a Carreau fluid in a tapered asymmetric channel is studied. The tapered asymmetric channel is normally created due to the intra-uterine fluid flow induced by myometrial contractions and it was simulated by asymmetric peristaltic fluid flow in a two-dimensional infinite non-uniform channel. The analysis has been performed under long wavelength and low- Reynolds number assumptions to linearize the governing flow equations. A series solution in respect of a small Weissenberg number is obtained for the stream function, axial pressure gradient and shear stress. Time average of pressure rise and frictional force on the upper wall has also been computed using numerical integration. The results have been presented graphically for the various interested physical parameters. It is observed that for Carreau fluids the peristalsis works as a pump against a greater pressure rise compared with a Newtonian fluid, while there exists no significant difference in free pumping flux for Newtonian and Carreau fluids in the tapered asymmetric channel.

关 键 词：PERISTALSIS Carreau fluid tapered asymmetric channel MHD permeable walls. 

分 类 号：TV698.11[水利工程—水利水电工程] O373[理学—流体力学]