Study the Effects of Magnetic Field and Porous Medium on Heat Transfer and Flow of a Nanofluid in a Wavy Channel

In this study, the heat transfer of nanofluids as single-phase, incompressible, laminar, permanent in a two-dimensional sinusoidal channel under the influence of a magnetic field with a porous medium is investigated. Alternating heat flux is applied to the channel walls. The governing equations are discretized using Fluent software with finite volume method (FVM) and velocity and pressure coupling is performed using SIMPLE algorithm. The Reynolds number range is 500 ≤ Re ≤ 200. Water is considered as the base fluid and magnesium oxide nanoparticles have been added to it. The volume percentage of nanofluid is 0.04. Nanofluid flow in 4 different Darcys (0.00001, 0.0001, 0.001, and 0.01) and magnetic field application in 4 Hartmann numbers (0, 4, 7 and 10) have been investigated. The results show that in all cases, with increasing Hartmann number, the heat transferred improves and the pressure drop increases. By increasing the Darcy number from 0.00001 to 0.01 under the same conditions (Reynolds 500 and Hartmann 10), the Nusselt number equals 4.392. Also, with increasing the Darcy number, the viscous resistance decreased and the pressure drop was always lower, so that the numerical pressure drop ratio was less than 1.