Hydrothermal analysis of time‐fractional magneto hydrodynamic viscous fluid flow on a plate

Abstract The work was conducted to analyze convective heat transfer theory concerning the MHD effect on a flat and vertical plane. Thus, it is assumed that the plane has an unlimited surface area. In this work, we have tried to investigate the speed, temperature, and concentration by examining the impact ability of the studied space from changes in the mass concentration of nanoparticles and course, other dimensionless parameters such as Soret number, magnetic parameter, and Grashof. We attempted to analyze the idea of the treatise using the Caputo‐Fabrizio‐fractional derivative model, which is worth mentioning. One of the interesting results of this work is that with the increase of volume fraction of nanofluids from 0.01 to 0.04 wt%, we see that the thermal distribution increases significantly. The temperature profile has decreased by almost 7% as a result of increasing the dimensionless Prandtl number from 4 to 7. A 19% increase in velocity values is caused by increased fractional parameter effects from 1 to 3.