Estudo comparativo entre a solução analítica e a solução numérica computacional do escoamento laminar completamente desenvolvido entre placas paralelas infinitas

Abstract

The fluid mechanics is a discipline of physics that investigates the behavior of liquids and gases, being essential for understanding the dynamics and forces acting in these mediums. With diverse applications in engineering, physics, chemistry, and biology, it influences everyday technologies, such as water supply systems and aerodynamics. The analysis of fluid flows can be conducted through theoretical, experimental, and computational methods, with computational numerical simulation standing out as a relevant approach for complex systems. The overall objective of this work is to simulate laminar flow between finite parallel plates for a Newtonian fluid and compare the results of the numerical simulation with the analytical solution, aiming for a deeper understanding of fluid behavior. In this research, a comparative methodological approach is adopted, focusing on the comparison of two distinct methods. The analytical solution is employed to obtain accurate descriptions of the velocity profile, while the computational numerical solution is obtained through a platform developed in C#. The numerical data are analyzed and compared with the analytical solution, allowing for a qualitative analysis of flow characteristics. The results obtained reveal a notable convergence in the numerical simulation of laminar flow between finite parallel plates as the mesh is refined. The assessment of mesh independence demonstrates the importance of this process, highlighting the influence of resolution on result accuracy. The research provided a significant contribution to understanding the behavior of fluid in fully developed laminar flow between finite parallel plates. Numerical simulations proved effective in investigating flow behavior, while the analytical solution offered a solid theoretical foundation.