Heat transmission and magnetic effects on a ferrofluid liquid in a hybrid survey under the influence of two Helmholtz coils

Abstract

The effects of ferrofluid nano liquid transmission with MWCNT nanofluid over the two rectangular Helmholtz coils with opposing currents and stretching surfaces are examined in this work. The novel aspect of this research is how changing the fluid properties of MWCNT nanofluid on a tensile sheet are affected by employing two coils with electric current. Calculated differential equations are solved using the finite element method. The heat transfer between the fluid and the plate at the starting of the plates is low with the starting of the thermal boundary layer, the farther go from the starting, and the thicker the boundary layer increases. Ultimately, the MWCNT nanofluid velocity around the two rectangular coils at the middle of the surface is 12.03% higher than the starting of the sheet and 14.06% higher than the end of the surface. Also the MWCNT nanoparticle magnetic potential around the two rectangular coils at the middle of the surface is 33.11% higher than the starting of the surface and 79.10% higher than the end of the surface. Based on the results obtained from the MWCNT nanofluid angular velocity graphs and the heat transfer cantors and Magnetism potential effects in the Design-Expert software, the best optimization occurred for MWCNT nanofluid angular velocity and MWCNT nanofluid temperature and MWCNT Magnetism potential with u = 0.80 and T = 29.25 and Az = 0.87 and N = 0.41.