Effect of MHD and Porous Media on Nanofluid Flow with Heat Transfer: Numerical Treatment

Abstract

The present article studies nanofluids flow and heat transfer in a vertical asymmetric tube in the presence of a magnetic field and porous media under peristaltic waves so flow equations are modeled considering cylinder coordinates. With low Reynolds number (effects inertial force is negligible) and lengthy wavelength, the governing equations (mass, motion, energy) are derived with appropriate boundary conditions on the walls. The exact solution is obtained for energy equation whereas velocity equation is solved numerically by Runge-Kutta method. The influence of numerous parameters such as Grashof number, Hartmann number, heat source parameter, viscosity parameter, Darcy number, nanoparticle volume fraction, the phase difference and amplitudes of left and right walls are discussed in respect of velocity, temperature and heat transfer coefficient. The results are obtained by Mathematica 11 program.