NUMERICAL STUDY ON PERISTALTIC MOTION OF NON-NEWTONIAN FLUID IN PHYSIOLOGY AND INDUSTRY

Abstract

Currently peristaltic motion of non-Newtonian fluid attracts a great consideration from the researchers due to their practical significance in area of physiology and industry. Peristaltic event is a term used in physiology to describe the impending contraction of smooth muscles. A key feature of peristaltic phenomenon is to properly move the digested food against the gravity. In industry, peristaltic pumping phenomena propose a number of useful applications. The blood is circulated via this process in heart-lung machine during surgery. Motivated by these, there are medical devices that mimic peristaltic to meet particular daily needs. Consequently, peristaltic action of non- Newtonian fluid in different channels is the central focus of the researchers. It is interesting to note that very few of them pay their consideration to the channel’s geometry because of the difficulty of the governing equations. On other hand, the majority of fluid problems are non-linear by nature. A few of these problems have exact solutions. Many researchers have focused their attention recently on examining the solutions to both linear and nonlinear partial differential equations using a variety of techniques. However, a number of approaches have certain drawbacks. Thus one must rely on either an analytic solution or a numerical solution due to the extremely non-linear nature of the governing equations of motion. Even if an accurate analytical solution could be found, it would probably be quite difficult. So finding numerical and analytic solutions to flow models are extremely desired and a natural process for the researchers. The aim of this research is to examine the analytic and numerical solution of the new problems of incompressible non- Newtonian Casson fluid under various fluid conditions. The considered Casson fluid moves through porous channel with the influences of different physical parameters. Mathematical formulas such as the law of conservation, law of momentum are applied on the new problems. The physical problem is presented mathematically by a set of main equations with related boundary conditions and converted them into dimensionless form, which are solved numerically. MATLAB solver bvp4c is used for numerical simulation. The obtained findings in this study are compared with previously published solutions in literature for validation purpose. These solutions are in strong agreement with one another. The findings of this study can be used as a theoretical reference in related areas.