Abstract
The transient squeezing flow of 2D Magnetohydrodynamics (MHD) considering Casson fluid in the existence of solar irradiance is clarified numerically and theoretically. Generally, to minimize the energy utilized in the solar unit, we must track the heat and mass transition procedure in the solar irradiance process. In this issue, we assumed the dynamic of mass and heat diffusivity as the function of temperature. The employed model, which is run by the (Partial Differential Equations) PDEs system, manages by the Similarity method and the MATLAB bvp4c package. As can be obtained, the validation of numerical outcomes plays approvingly whenever collated with the previous literature. Eventually, the following investigations are performed. It is indicated that the presence of squeezed numbers plays a crucial role, and an increase in the squeezing factor boosts the temperature of non-Newtonian fluid about 20%. Also, the higher quantities of floating viscosity remarkably affect skin friction. Also, an increment in the chemical reaction rate diminishes the mass concentration profile. Besides, an increase in Pr number from 0.1 to 1.5 leads to a 1% increase in dimensionless temperature theta(eta)$\theta ( \eta )$ and a decrease in Nr from 1 to 0.01 and in squeezing parameter cause to 5% and 17% enhancement in theta(eta)$\theta ( \eta )$. Regarding the Schmitt number of 0.7 and the zeta(3) of 0.3, the skin friction increases up to one. Furthermore, at the higher quantities of thermal conductivity, the Ec number boosts the 20% fluid flow temperature profile within the squeezing channel.