EFFECTS OF MAGNETIC FIELD AND SLIP ON CONVECTIVE PERISTALTIC FLOW OF A NON-NEWTONIAN FLUID IN AN INCLINED NONUNIFORM POROUS CHANNEL WITH FLEXIBLE WALLS

摘要

This paper describes the combined effects of magnetic field and slip on convective peristaltic transport of a Bingham fluid in an inclined nonuniform porous channel with flexible walls. By using the approximations of lengthy wave and small Reynolds number, the governing equations are solved analytically and the expressions for stream function, velocity, temperature, and heat transfer coefficient are obtained. The impact of the relevant parameters on flow pattern is analyzed through graphs. It is noticed that the velocity enhances for the higher values of slip parameter and the absence of slip reduces the velocity, whereas the opposite behavior is observed for temperature and heat transfer coefficient. The increment in magnetic and permeability parameters reduces the velocity, temperature, and heat transfer coefficient. The inclination of the channel improves both velocity and temperature. Furthermore, the important and interesting trapping phenomenon is discussed in detail. Also, the present results are in good agreement with the existing work in the literature.