Heat generation/absorption effect on MHD flow of hybrid nanofluid over bidirectional exponential stretching/shrinking sheet

The idea of hybrid nanofluid has triggered many researchers because of its credential in improving the thermal characteristics. Hence, this study performed a mathematical analysis to evaluate the heat generation/absorption effect on magnetohydrodynamics (MHD) flow towards bidirectional exponential stretching/shrinking sheet of hybrid nanofluid. A system of ordinary differential equations was attained through a simplification of governing partial differential equations by employing appropriate similarity transformation and numerically determined via the bvp4c function in MATLAB programming system. The results revealed that the volume fraction of nanoparticle and magnetic parameter applied to the hybrid nanofluid improved the skin friction coefficient in the current work. The rate of heat transfer was strengthened by the intensity of the suction parameter, whereas the appearance of heat generation reduced the heat transfer rate performance. The results are proven to have dual solutions and lead to stability analysis implementation, hence confirming the first solution's achievability.