Analysis of Cattaneo-Christov model in stratified and magnetized Powell-Eyring fluid flow with Joule heating and viscous dissipation

Researchers are currently encountering significant challenges in the rate of heating/cooling processes as per industrial, engineering, and automation demands. In view of this, non-Fourier's law is imposed to visualize the properties of stratified Powell-Eyring fluid flow with variable thermal conductivity in the vicinity of the stagnation region through a linearly stretchable surface. Features of heat are studied via viscous dissipation and Joule heating. Thermal stratification is instigated by assuming a variable temperature. A constant intensity of magnetic field is utilized to explore fluid behavior. To reduce the complexity and computational work, the resulting governing equations are converted into nonlinear partial differential equations via relevant physical transformations. Analytical and convergent series solutions are tackled through homotopic approach. Convergence for nonlinear and dimensionless governing equations are validated accurately h-curves and residual errors. Output of this problem is scrutinized and visualized to temperature and velocity fields of fluid particles via graphical analysis. The classical Fourier's law miscalculates the rate of heat transfer which is overcome by Cattaneo-Christov model through thermal memory and exhibits more accurate estimation for cooling and heating processes. The temperature of the fluid declines gradually near the wall for the dominant behavior of the thermal stratification parameter, whereas variable thermal conductivity increases the heat transfer. The simultaneous impacts will show a competing role in efficient thermal management.