Mixed convective peristaltic transport in a vertical channel with Robin’s condition

Abstract

This paper describes the mechanism of the mixed convective peristaltic flow of a viscous fluid in an asymmetric vertical channel. A new type of boundary conditions is introduced in which one wall is kept at a constant temperature, while a convective heat flux is taken on the other wall. The Boussinesq’s and long wavelength approximations are employed in the process of modelling. The problems associated with the fluid motion and heat transfer are solved and exact solutions have been obtained in the wave frame of reference. Effects of Biot number, Grashof number and source/sink parameter have been analyzed through graphs. It is observed that increasing Biot number decreases the temperature, whereas temperature increases with an increase in the values of source/sink parameter. The pressure drop decreases with ascending values of Biot number and descending values of source/sink parameter and Grashof number. The pressure gradient is less in magnitude in absence of buoyancy forces, convective heat exchange at the boundary and source/sink. An increase in Biot number and a decrease in source/sink parameter and Grashof number results an increase in the size of the left part of the bolus.