A numerical approach to interpret melting and activation energy phenomenon on the magnetized transient flow of Prandtl–Eyring fluid with the application of Cattaneo–Christov theory

Abstract

The current study explores the Impact of activation energy and melting heat transfer on unsteady Prandtl–Eyring model with variable thermal conductivity induced by a stretched cylinder. The Cattaneo–Christov double diffusion theory is used to study heat and mass transfer phenomena. The foremost coupled partial differential equations (PDEs) of the time-dependent Prandtl–Eyring model is transformed to ordinary ones using appropriate local similarity variables. The deduced system is numerically solved using the shooting iterative technique. The characteristics of key flow parameters against fluid concentration, temperature, velocity, skin friction, Sherwood and local Nusselt numbers are examined graphically with justified physical consequences. The comparison with the previously published work showed a fabulous agreement. This investigation presented that the velocity and concentration of fluid are increased by enhancing melting and curvature parameters, while the fluid temperature is diminished due to the impacts of melting and curvature parameters. By raising reaction rate constant, melting, thermal relaxation time, and temperature difference parameters, the fluid temperature is enhanced while the fluid temperature declines with thermal conductivity, activation energy, and unsteadiness parameters. Furthermore, the unsteadiness and activation energy parameters cause a rise in the concentration of a fluid.