Analysis of heat and mass transfer phenomena in peristaltic transportation of hyperbolic tangent fluid in tapered channel

Abstract

AbstractThe mathematical and theoretical impacts of heat and mass transportation on the peristaltic process of electrically conducting hyperbolic tangent liquid in an asymmetric tapered channel are considered. Flow in porous space is categorized through modified Darcy's law. The mechanism of heat transfer is also examined in conjunction with viscous dissipation. Both Soret and Dufour impacts are also included to study mass flux generated by a temperature gradient and energy flux affected by concentration differences. Lubrication approximation theory is implemented to simplify the two‐dimensional flow equations of hyperbolic tangent liquid using a Cartesian coordinate system. The significant role of numerous implicated parameters on the flow phenomenon is summarized numerically via graphs. The present outcome reveals that liquid velocity declines with an enhancement of Darcy's number, whereas its diminutions with an increase of Weissenberg's number. Moreover, the temperature of fluid enhances with a boost in Dufour number.