Semi-Analytic Solution of Nanofluids and MHD Field Effects on Heat Transfer from a Porous Wall

The present paper studies the effect of nanofluids on natural convection in an assumed Non-Darcy, porous medium on vertical wall embedded with MHD field. The wall temperature and free stream temperature are assumed constant. The base fluid is water that contains 〖Al〗_2 O_(3 )¡CuO_and Cu as nanoparticles. We assumed that the flow is laminar and in no slip and thermal equilibrium condition. Partial differential equations are transformed to ordinary differential equations that are solved by Differential Transform Method (DTM). The current semi-analytic solution is compared with 4th order Runge-Kutta results and a good agreement is achieved. The obtained results show that adding nanoparticles to water, increases the heat transfer amount that is also increased with nanoparticle concentration. On the other hand, increasing the magnetic field decreases the nondimensional heat transfer coefficient.