Performance-based comparison of Yamada–Ota and Xue models for radiative flow of dusty Ellis trihybrid nanofluid with Dufour-Soret effects

The current work scrutinizes the Dufour and Soret significance on radiative flow of dusty Ellis’s trihybrid nanofluid on Riga plate with Marangoni convection using two different thermal conductivity models, the Yamada-Ota model and the Xue model. The Darcy Forchheimer effect in porous media is taken into consideration in the momentum equation. The performance of this proposed model is compared with two well-known trihybrid nanofluid thermal conductivity models, Xue and Yamada-Ota. The thermal behavior and transport characteristics of complex nanofluids are revealed by this model, which is essential for engineering uses including thermal management systems, heat exchangers, and energy systems based on nanofluids. Predictions are more accurate when Dufour and Soret characteristics are included, especially when there are large temperature differentials or uneven concentration gradients. This provides useful advice for real-world application and design enhancements. The similarity variables are used to convert PDEs into ODEs. The shooting method (RKF-45th) is still used to obtain the mathematical conclusions of governing comparisons. The velocity fields of the fluid and dust phases upsurge as the Ellis fluid parameters are increased, whereas the temperature profiles decrease.