Exact solution of cilia induced flow of a Jeffrey fluid in an inclined tube

K Maqbool; S Shaheen; A B Mann

doi:10.1186/s40064-016-3021-8

Exact solution of cilia induced flow of a Jeffrey fluid in an inclined tube

Springerplus. 2016 Aug 22;5(1):1379. doi: 10.1186/s40064-016-3021-8. eCollection 2016.

Authors

K Maqbool¹, S Shaheen¹, A B Mann²

Affiliations

¹ Department of Mathematics and Statistics, International Islamic University, Islamabad, 44000 Pakistan.
² Department of Mathematical Sciences, Federal Urdu University of Arts, Science and Technology, Near Zero Point, G-7/1, Islamabad, 44000 Pakistan.

Abstract

The present study investigated the cilia induced flow of MHD Jeffrey fluid through an inclined tube. This study is carried out under the assumptions of long wavelength and low Reynolds number approximations. Exact solutions for the velocity profile, pressure rise, pressure gradient, volume flow rate and stream function are obtained. Effects of pertinent physical parameters on the computational results are presented graphically.

Keywords: Cilia; Inclined tube; Jeffrey fluid; MHD.