Peristaltic Flow of Herschel-Bulkley Fluidin an Elastic Tube with Slip at Porous Walls

Rajashekhar Choudhari; Manjunatha Gudekote; Hanumesh Vaidya; Kerehalli Vinayaka Prasad

Authors

Rajashekhar Choudhari Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India
Manjunatha Gudekote Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India
Hanumesh Vaidya Department of Mathematics, SSA Government First Grade College(Autonomous), Ballari, Karnataka, India
Kerehalli Vinayaka Prasad Department of Mathematics, VSK University, Ballari, Karnataka, India

Keywords:

Amplitude ratio, Darcy number , elastic tube, velocity slip parameter

Abstract

A mathematical model for the impact of slip velocity on peristaltic transport of blood flow has been investigated by utilizing the Herschel-Bulkley model in a flexible tube. The closed-form solutions are obtained for velocity, plug flow velocity, and volume flux. It is noticed that the impact of yield stress, amplitude ratio, Darcy number, velocity slip parameter, elastic parameters and fluid behavior index plays a vital role in controlling the flux in an elastic tube. The outcomes acquired from the flow quantities reveal that, the volume flux in a flexible tube decreases with an increase in the porous parameter and it increases with an increase in the slip parameter. Further, the results of Newtonian, Bingham plastic and Power-law models have been presented graphically and analysed.