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Author 1
Nitiraj V. Kulkarni
Department of Mathematics, Vishwakarma University, Pune 411048, India
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Open Access | Research Article | 20 June 2025
Nanofluid Heat Transfer in Thermal Systems: Case Studies on Brownian and Thermophoretic Phenomena
ICCK Journal of Applied Mathematics | Volume 1, Issue 1: 3-14, 2025 | DOI: 10.62762/JAM.2025.801252
Abstract
This study presents the application of the Artificial Neural Network Backpropagation Levenberg-Marquardt (ANN-BLMS) model for solving the nonlinear system of equations governing the flow of Casson-Williamson nanofluid under the influence of a magnetic field, Brownian motion, and thermophoresis effects. The model was trained using MATLAB's "bvp4c" solver to generate a reference dataset for various flow scenarios. Graphs having significant interest such as Nusselt Number are plotted and performance evaluation was carried out across multiple scenarios, which included variations in parameters such as Prandtl number, Weissenberg number, and Brownian motion coefficient. The results demonstrate tha... More >

Graphical Abstract
Nanofluid Heat Transfer in Thermal Systems: Case Studies on Brownian and Thermophoretic Phenomena