Peristaltic Transport and Heat and Mass Transfer on a Power-law Fluid Flow in an Elastic Tapered Tube with Variable Cross-Section Induced by Dilating Peristaltic Wave

Abstract

Abstract Peristaltic transport and heat and mass transfer on a power-law fluid flow in an elastic tapered tube with variable cross-section induced by dilating peristaltic wave was illustrated in this paper. Problem was studied under the assumption of long wavelength (δ ≪ 1) and low Reynolds number (Re ≪ 1). The different emerging parameters effect are explained graphically for the exact solutions of the temperature distribution, heat transfer coefficient, rate of heat transfer and concentration of particles. The results showed that the temperature distribution and heat transfer coefficient are an increasing functions of the parameters power-law index n, dilation parameter k, amplitude ratio ϕ and volume of flow rate F whereas they are decreasing functions when the non-uniform parameter b increases. It is noted an opposite behaviour for the rate of heat transfer and concentration distribution. MATHEMATICA software is used to plot all figures.