Heat Transfer Analysis of Johnson-Segalman Fluid in a Tapered Asymmetric Channel

Abstract

This study presents a theoretical thermal analysis for the peristaltic transportation of electrically conducting Johnson-Segalman liquid through a two-dimensional asymmetric tapered following the propagation of sinusoidal wave trains with dissimilar phases. The impact of viscous dissipation is also deliberated in the modeling. Mathematical modeling is carried out by making use of lubrication approximation theory. The fundamental equations of the Johnson Segalman fluid are solved by regular perturbation technique and the expressions for velocity, energy and stream functions are attained. The impact of various embedded parameters on the flow fields is illustrated graphically and discussed in detail. The significant outcomes of the current analysis are that the liquid velocity declined with the higher values of magnetic parameter and enhances with Johnson-Segalman liquid parameter. Pressure rise improves in the augmented pumping portion with the magnetic parameter