Analysis of two layered immiscible fluids with peristalsis: effect of magnetic field

Abstract

Two layered blood flow model is considered by taking the effects of both heat transfer and magnetic field. Permeable heat conducting walls are taken as boundary of the channel. The effects of the magnetic field and heat transfer on peristaltic pumping of a two layer of immiscible fluids in a channel is investigated. The channel contains two layers and is occupied by Newtonian fluids. Governing equations that describe the motion are simplified analytically. The pressure-rise, stream function, interface and temperature field are obtained as functions of different flow parameters of the problem. The results show that increasing magnetic parameter causes an increase in pressure rise. Also increase in the viscosity ratio parameter effects better pumping performance. The temperature distribution in the channel increases when the magnetic parameter increases. It has been found that an increase in μ and k causes an increase in temperature. The observed flow characteristics suggest interesting behaviors that warrant further study of physiological fluids in multi-phase flows with effect of magnetic field. The present model can help in understanding the behavior of Magnetic control of physiological flows and in biomedical engineering (small blood vessels, drug delivery).