Thermal Radiation and Viscous Forchheimer Drag Effects on Casson Fluid Flow Over Exponentially Stretching Curved Sheet in Porous Media

The work analyses the influence of Radiant heat on the Casson fluid Stream across nonlinearly expanding curvilinesr surface through Newton’s law of cooling condition. The fundamental PDEs, incorporating temperature-dependent heat conduction property, Ohmic heating, Non-uniform heat generation /absorption, and radiation effects, are converted into ODEs using Non-dimensionalization techniques. The system is then resolved numerically through the Maple platform or Mathematica, and the graphs are typically generated. Numerical solutions are plotted to visualize velocity and temperature distributions under different physical conditions. The computational results are compared and found to exhibit close conformity.The results reveal that rising curvature amplifies both flow speed and thermal response distributions, while the Casson and magnetic field parameters suppress fluid motion. Thermal radiation and heat generation parameters significantly elevate the temperature profile, whereas higher Prandtl numbers contribute to cooling effects. Additionally, the Biot and Eckert numbers enhance heat transfer efficiency. These findings have practical implications in various industrial and engineering applications, glass fibre production, biofluid mechanics, and aerospace systems.