Influence of Velocity and Thermal Slip on the Peristaltic Transport of a Herschel-Bulkley Fluid through an Inclined Porous Tube

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

Authors

Divya Baliga 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
Rajashekhar Choudhari 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:

Brinkmann number, Darcy number, inclination, velocity slip

Abstract

The present paper investigates the impact of velocity slip and thermal slip on the peristaltic transport of a Herschel-Bulkley fluid, flowing through a uniform two-dimensional porous tube under the assumptions of long wavelength and low Reynolds number. The mathematical representations of temperature and velocity fields, pressure gradient, and stream function have been found through the closed-form solutions of the energy and momentum equations. Numerical integration has been employed to compute the frictional force and pressure rise. The influence of relevant parameters in the problem have been discussed and presented graphically. The results reveal the increasing effects of thermal and velocity slip on pressure rise and temperature. Also, trapping phenomena of the Herschel-Bulkley fluid is discussed. The volume of the bolus is observed to increase along with the velocity slip parameter.