Abstract :

Heat Transfer And Fluid Dynamics Are Important In Many Industrial Processes (chemical Manufacturing, Energy Production, Materials Engineering, Etc.). The Models To Centralize These Phenomena Involve Differential Equation Models Especially Partial Differential Equations (PDEs). In This Paper, The Authors Aim At Providing The Detailed Analysis Of Mathematical Modeling Of Fluid Flow And Thermal Transport Using Differential Equations. We Discuss The Theoretical Formulation, Examine What Has Been Done Before, Suggest A Better Methodology And Demonstrate The Correctness Of The Model By Simulation Results. These Findings Highlight The Relevance Of Proper Modeling Towards The Optimization Of Industrial Systems In Terms Of Performance, Safety And Energy Efficiency. Keywords— Differential Equations, Fluid Dynamics, Heat Transfer, Navier-Stokes Equations, Thermal Conduction, Industrial Processes, Simulation Models, PDEs, Computational Fluid Dynamics (CFD), Numerical Methods.

Published:

25-9-2025

Issue:

Vol. 25 No. 9 (2025)

Page Nos:

500-508

Section:

Articles

License:

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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