Heat and mass impacts on peripheral layers of different viscosity on peristaltic flow of Rabinowitsch fluids

The flow model for two immiscible and incompressible Rabinowitsch fluids with different viscosities in a symmetric circular tube is investigated under the effects of heat and mass transfer. The fluid movement is caused by peristalsis motion, and the relevant equations for flux with heat and mass transfer have been developed and analyzed under the lubrication approach. The analytical expressions for the interface shape, a velocity profile for the core and peripheral layers, a temperature profile, a concentration profile, and a streamline are all obtained. The influences of the interesting physical parameters associated with the governing equations are displayed graphically. This model provides a way to understand the behavior of two immiscible physiological fluids in living structures and in modeling biomechanical instruments.