In mechanical and industrial sectors, tri-hybrid nanofluid particles with methanol as a regular fluid have gained the attention of scientists because of their prominent impact on enhancing the thermal conductivity of traditional fluids. The goal of this article is to examine the flow and heat transportation of Darcy-Forchheimer model of ( A l 2 O 3 − T i O 2 − C u O / C H 3 O H ) tri-hybrid nanofluid via a permeable Riga plate by using dual solution analysis. The flow is influenced by second-order velocity slip, non-linear thermal radiation, non-uniform energy generation/absorption, and thermal slip. The governing equations are relegated to non-linear ODEs by using a similarity transformation. Later, the bvp4c technique is used for numerical solutions, and these datasets are spread through an Excel sheet for validation, training, and testing procedures in MATLAB to train the neural networking model. The statistical values of 10 − 8 t o 10 − 9 against 35, 80 and 300 epochs for three scenarios are excellent performance of mean square error (MSE). Furthermore, the most remarkable finding is that the dual solution appeared at χ c i ( = − 0.3845 ) for R d , and L 3 against the heat transportation rate, and boundary layer separation is the same against distinct values. First and quadratic velocity factors boost the shear stress for a stable solution. Moreover, temporal stability analysis discloses that only the upper branch solution is linearly stable.
Qamar et al. (Sun,) studied this question.