Effects of magnetic field on molybdenum disulfide nanofluids in mixed convection flow inside a channel filled with a saturated porous medium

The effects of a magnetic field on molybdenum disulfide (MoS2) nanofluid in mixed convection flow in the presence of thermal radiation inside a channel filled with a saturated porous medium are investigated. Molybdenum disulfide nanoparticles are suspended in water chosen as the conventional base fluid. Both of the boundary walls of the channel are oscillating in their own plane. The fluid is flowing in a vertical direction parallel to the channel such that the external magnetic field is applied in a direction perpendicular to the flow. Five different shapes, namely, platelet, blade, cylinder, brick, and spherical, of molybdenum disulfide nanoparticles are used in this work. The problem is modeled in terms of partial differential equations with physical boundary conditions. An analytical solution of the problem is obtained by using the perturbation method. Expressions for velocity and temperature are obtained and discussed graphically for embedded flow parameters. A comparative study for different shapes of molybdenum disulfide nanoparticles is provided graphically. MoS2 nanoparticles with cylinder shapes have shown the highest heat transfer rate as compared to spherical shapes. Furthermore, it was found that the application of a magnetic field increased the friction forces and caused a significant decrease in the momentum transfer. The porous medium behaved in an opposite manner to that of the magnetic field