Computational thermal and solutal study of Darcy–Forchheimer flow of Ellis trihybrid nanofluid with Cattaneo–Christov flux model and Stefan blowing impacts

Abstract This study uses two distinct thermal conductivity models, the Xue and Yamada–Ota models, to investigate the impacts of heat generation and Stefan blowing on the Darcy–Forchheimer movement of an Ellis trihybrid nanofluid over a sheet. The existence of Cattaneo–Christov mass and heat flux has been mathematical modeling and analyzed. The thermal and absorption boundary sheet is thinner as the temperature and absorption are reduced in the Cattaneo–Christov heat and mass flux model. This suggested model aims to associate the efficacy of the well‐known ternary hybrid nanofluid models Yamada–Ota and Xue. This model offers priceless insights into the convective heat transmission and thermal conduct of nanofluid systems, which are essential for performance optimization in a wide range of thermal engineering applications. By integrating these models, industries can advance nanofluid‐based technologies with more versatility, from electronics to heat exchangers, from better thermal management to increased efficiency. By using the similarity transformation, partial differential equations (PDEs) can be converted into ordinary differential equations (ODEs). By using the shooting technique, the numerical results of the governing equations are obtained (Bvp4c). By increasing the value of Stefan blowing and Ellis fluid parameters, it augments the rate of mass and heat transfers, velocity profile while declining the thermal distribution.