Recent developments in paraffin wax- sand/ C₃H₈O₂-H₂O nanomaterial under LTNE conditions using Levenberg-Marquardt method.

The sand-paraffin wax/C₃H₈O₂-H₂O nanomaterial model for local thermal non-equilibrium (LTNE) circumstances has significant potential in advanced thermal energy storage and heat transfer systems. It is especially relevant for latent heat thermal energy storage units, solar thermal collectors, building energy management, electronic cooling, and industrial heat recovery systems, where paraffin wax acts as a phase change material and sand improves thermal conductivity and structural stability. The inclusion of Dufour and Soret properties allows for more accurate prediction of coupled mass and heat transmission in systems with significant temperature and concentration gradients, whereas the Levenberg-Marquardt method provides efficient and accurate prediction of the governing transport properties. The results of this model can help to build energy-efficient thermal storage devices, renewable energy technologies, and sustainable cooling and heating systems with increased thermal performance and operational reliability. This article provides a short analysis of the Dufour and Soret influence on a Parafln Wax- Sand/ C₃H₈O₂-H₂O nanomaterial under LTNE effects. The neural network with the Levenberg-Marquardt method (NN-LMA) is the foundation of an integrated numerical computing system. The liquid phase's thermal field increases as the inter-phase heat transmission characteristic increases, whereas the solid phase's thermal field declines.