Effect of Heat Generation/Absorption and Radiation on Two-Dimensional Unsteady Magnetohydrodynamic Heat and Mass Transfer Nanofluid Boundary Layer Flow Over a Permeable Shrinking Sheet

The objective of this research is to look into the impact of heat generation/absorption and radiation on two-dimensional unsteady magnetohydrodynamic forced convection heat and mass transfer nanofluid boundary layer flow over a permeable shrinking sheet. Similarity transformations are used to translate the governing time-dependent nonlinear PDEs into nonlinear ODEs. The Keller box method is used to solve the transformed equations. The effect of non-dimensional variables is studied and graphically illustrated on velocity, temperature, and concentration. The friction factor, Nusselt, and Sherwood numbers are also investigated and arranged for different values of Unsteadiness parameter, effective Prandtl number, thermophoresis parameter, magnetic field, Grashof number, Modified Grashof number, Lewis number, Heat Source/Sink, and Suction in tabular form. The velocity profiles for dual solutions have improved as the Thermal Grashof number and Modified Grashof number have amplified, but the temperature and concentration profiles have shown the reverse pattern. Temperature profiles are increasing as improving the Heat source/sink. The temperature and concentration profiles decline in the first and opposite pattern in the second solution with improved values of the magnetic field. The findings of this study are very well-acknowledged with current research.