Multi-objective study using entropy generation for Ellis fluid with slip conditions in a flexible channel

Abstract

A mathematical model is developed to investigate the entropy generation on peristaltic transport of the Ellis fluid through a uniform two-dimensional symmetric channel with elastic nature of the walls. An analysis of heat and mass transfer is also made to examine the effects of viscous dissipation. To simplify the governing equations, nondimensional analysis with low Reynolds number and large wavelength is done. Solutions of the problems are presented via a NDSolve Mathematica numerical technique. The effects of various parameters on flow characteristics, thermal characteristics and species characteristics have been computed and physically interpreted. The numerically acquired solutions are studied graphically for the effective analysis of the flow. The velocity and temperature profiles are parabolic in nature. Higher values of elastic parameters and chemical reaction parameters rapidly increase concentration profile for Newtonian case as compared to non-Newtonian case. The outcomes of this model can be applicable in various fields of biomedical engineering where smart peristaltic pumps can be engineered to transport the biological fluids without any contamination, i.e., electromagnetic peristaltic micro pumps.