Thermal energy analysis using artificial neural network and particle swarm optimization approach in partially ionized hyperbolic tangent material with ternary hybrid nanomaterials

This investigation holds significant pragmatic implications for endeavors aimed at curbing energy losses stemming from diverse factors. A neural network propelled by artificial intelligence, employing the Levenberg-Marquardt technique (ANN-LMM) has been devised for integrating ternary hybrid nanoparticles into a partially ionized hyperbolic tangent liquid flowing over an extended melting surface (PIHTL-SMS). The substance motion equivalence is delineated, considering the rotational outcome. The heat energy is formulated by amalgamating viscous intemperance and Joule heat contributions. To streamline complexity, the resulting PDEs are transmuted into a series of ordinary differential equations (ODEs) through resemblance transformations. A reference dataset for ANN-LMM is produced encompassing diverse significant model permutations and pretending situations utilizing the Lobatto III-A statistical technique. This reference data undergoes verification, evaluation and training procedures to refine the estimated explanation towards achieving anticipated outcomes. The precision, constancy, capability and resilience of ANN-LMM are substantiated concluded mean squared error (MSE)-based fitness curves, error histograms, regression plots and absolute error evaluations. A relative examination elucidates the correctness of the suggested solver, exhibiting entire errors within the array of 10^-10 to 10^-06 for all significant constraints. Resulting differential equations are also solved using particle swarm optimization (PSO) approach. In PSO several parameters are optimized to enhance the performance of the algorithm. Optimizing these parameters help to improve the effectiveness and efficiency of the PSO algorithm for given problem. PSO converges quickly to optimal or near-optimal solutions, making it efficient for problems with large domain. Several pivotal graphs are constructed to illustrate the impact of emergent constraints on fluid temperature and velocity profiles. The outcomes underscore the numerical technique as a potent instrument for tackling the intricate conjoined ODEs system prevalent in fluid mechanism and allied intemperance presentations in technology. Additionally, improvements in the Forchheimer constraint and the Weissenberg number are deemed imperative for regulating fluid velocity. Unlike prior research that mostly concentrated on single or binary nanofluids, this work presents the integration of ternary hybrid nanoparticles into a partly ionized hyperbolic tangent liquid, a unique technique. Improved accuracy and processing efficiency are also provided by using an ANN-LMM neural network to solve the complicated transformed ODEs. Comparison of ANN, PSO results and existing results are done which shows validity of the current analysis. This work is unique in that it offers a deeper understanding of fluid behavior at advanced thermal settings by including emergent restrictions, viscous dissipation, and Joule heating.