Peristaltic-Ciliary Flow of A Casson Fluid through An Inclined Tube

Saravana Ramachandran (Department of Mathematics, Madanapalle Institute of Technology & Science, Madanapalle 517 325, India)
Kuppalapalle Vajravelu (Department of Mathematics, University of Central Florida, Orlando, Florida 32816, USA)
K.V. Prasad (Department of Mathematics, VSK University, Vinayaka Nagar, Ballari-583 105, Karnataka, India)
S. Sreenadh (Department of Mathematics, Sri Venkateswara University, Tirupati 517 502, India)

Communication in Biomathematical Sciences
Vol. 4 No. 1 (2021)

The paper is concerned with the peristaltic-ciliary transport of a viscoplastic fluid (Casson fluid) through an inclined cylindrical tube. The peristalsis-cilia induced motion is analysed in the moving frame of reference under the lubrication approximations. Solutions to the flow characteristics petering to yielded and unyielded regions are obtained. The effects of various physical parameters on the axial velocity, the pumping characteristics, the pressure rise, and the frictional force over one wavelength, along with the trapping phenomenon are presented through graphs. Further, the peristaltic flow and peristaltic-ciliary flow results are compared. It is noticed that the axial velocity and the size of trapping bolus in the unplug flow region decrease with an increase in the yield stress. In addition, the axial velocity and the axial pressure gradient in the peristaltic-ciliary pumping are higher than those in the peristaltic pumping.