<p>The numerical study of thermal radiation, viscous dissipation, and slip impacts in liquefying MHD nanofluid flow contributes to optimizing heat transfer, improving system efficiency, and ensuring safety in an extensive scope of field, from energy systems to biomedical devices. This computational research investigates the steady, two-dimensional, viscous, incompressible, and liquefying MHD nanofluid flow across a linear stretching sheet. The viscous dissipation, first- and second-order slip effects, liquefying heat transfer, thermal radiation, and porous media are considered into account. By using suitable similarity variables, the controlling nonlinear partial differential equations in this work are rehabilitated into the system of connected nonlinear ordinary differential equations. After that, a shooting method and the Runge–Kutta method are used to numerically solve these equations. A detailed discussion and visual examination are conducted on the impacts of several significant parameters on the profiles of temperature, concentration, and velocity. Variations in the rate of heat and mass transport and skin friction are investigated using the tables, which are constructed for a variety of progressive values of non-dimensional quantities. It is observed that the Lorentz force causes the velocity profiles to drop as the magnetic parameter increases. As the permeability parameter values increase, the velocity profile drops. The boundary layer thickness and temperature distributions grow as the liquefying temperature transport parameter increases. The temperature profile rises as the thermal radiation parameter values rise. Concentration profiles increase by an increase in the thermophoresis parameter and drop by an increase in the Brownian motion parameter.</p>