Streamline and Isotherm Visual Analysis of Darcy–Forchheimer von Karman Spinning Flow of Maxwell Fluid Over a Stretching Disk With Quadratic Temperature‐Dependent Heat Source

ABSTRACT

This research paper provides an extensive study of the effects of Darcy–Forchheimer von‐Karman spinning flow of Maxwell fluid across a stretching disk including the effect of heat generation based on a nonlinear function of temperature. The flow system is influenced by thermal radiations and Arrhenius activation energy. The mass and thermal diffusions are effectively managed through the use of thermophoresis and Brownian motion effects. The numerical simulation results depict the interaction effects of porosity, elasticity of fluid, and heat generation on the velocity and temperature profiles. The streamline and isotherms graphical representation provide useful information regarding the heat transfer enhancement and control with substantial applications in thermal engineering. The modeled equations are solved through the use of parametric continuation method (PCM) in dimensionless form. The findings of the work reveal that the stretching parameter and Deborah number enhance the radial velocity while reducing the azimuthal and axial velocity components, whereas the Forchheimer and porosity parameters suppress the radial and azimuthal velocities but strengthen the axial flow. The thermal analysis indicates that temperature is highest near the stretching disk, larger radiation, Brownian motion, and thermophoresis enhance heat transport and thicken the thermal boundary layer. Furthermore, thermophoresis and activation energy increase the concentration distribution by promoting nanoparticle migration and reducing reactant consumption, whereas the chemical reaction parameter and Schmidt number decrease the concentration profile through enhanced species consumption and reduced mass diffusion. The investigation has successfully validated through a comparative analysis with previously published results, showing excellent agreement and confirming the reliability of the proposed numerical approach.