Numerical Approaches to the Mathematical Analysis of Physical Property Transfer in Newtonian Fluid Flow
Keywords:
Newtonian Fluid, Physical Property Transfer, Numerical Methods, Finite Difference Method, Finite Element Method, Finite Volume Method, Computational Fluid Dynamics, Heat Transfer, Mass Transfer, Momentum TransportAbstract
The study of Newtonian fluid flow is fundamental in understanding numerous physical, engineering, and industrial processes. The transfer of physical properties such as momentum, heat, and mass within these fluids plays a critical role in fluid dynamics. This review focuses on the mathematical modeling of such transfer phenomena in Newtonian fluids using various numerical methods. The paper presents an overview of the governing equations, such as the Navier-Stokes equations and energy conservation principles, and emphasizes the significance of numerical techniques like Finite Difference Method (FDM), Finite Element Method (FEM), and Finite Volume Method (FVM) in solving these complex models. Particular attention is given to recent advances in computational fluid dynamics (CFD), stability analyses, and convergence studies that enhance the accuracy and efficiency of simulations. This review aims to provide a consolidated understanding of how numerical methods contribute to the precise prediction of physical property transport in Newtonian fluid systems.
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