DefinePK

Abstract

In this work, the movement of digestive juice in small intestine, food bolus through esophagus and the blood in arteries are addressed. Based on the characteristics of blood and digestive juices and the elements that affect them, a viscosity function adapted to an asymmetric channel is chosen to simulate some of the biological phenomena. A bivariate viscosity function reflects the natural phenomena where it is affected starting from the bottom and top walls as it occurs in the intestines and arteries. A peristaltic transport of Newtonian fluid is considered and the influence of the bivariate function in an asymmetric channel is studied. We were able to compute explicitly the pressure rise and the pressure gradient. Reflux, trapping, pumping and co pumping phenomena are studied. A graphical analysis of the effect of the viscosity variation is presented. Similar to the ax symmetric case, this work also illustrates that, the reflux limit and the free pumping do not depend on the viscosity parameter but the trapping limit, the pressure rise and the friction force on the walls, are influenced by the variation of this parameter.