THERMAL ANALYSIS OF TWO-PHASE MHD FLOW DUE TO CILIARY MOVEMENT WITH VISCOUS DISSIPATION IN THE PRESENCE OF HEAT SOURCE/SINK

In this article, heat transfer analysis of two-layered incompressible fluid flow caused by the ciliary movement through a channel is carried out. The first layer is of Jeffrey fluid, whereas the second layer is of viscous fluid. A mathematical model under the effects of heat source, magnetic field, and viscous dissipation is formed. The system of nonlinear partially coupled differential equations is tackled by using lubrication assumptions. The exact solutions for temperature and velocity profiles for each fluid flow are obtained. It is seen that the velocity in both layers decreases with a rise in the magnetic field. The temperature rises for Brinkman number and declines for Prandtl number. Antiplectic and symplectic wave patterns for varying magnetic field and fluid parameters are also examined. It is also observed that antiplectic waves are more adept at transporting fluid than symplectic waves.