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Method of Analytical Resolution of the navier-stokes Equations

Open Journal of Fluid Dynamics 2023年第S1期13卷 226-231页

作者： Jean Luc Wendkouni Tougma Burkina Institute of Technology Koudougou Burkina Faso

In this article, we present a method for solving the navier-stokes equations. They started by finding an analytical solution of the nonlinear convective term . They solved the navier stokes equations as a differential equation. Finally they made a numerical and experimental verification which shows that the two solutions converge, after having found the analytical solution. Underlying principles study, those various phenomena in universe are interconnected logic for the development of new technologies as an example: news engines, applied fluids mechanics. This study’s applications are exceptionally wide such as External aerodynamics: airplane, glider, missile, launcher, space probe, automobile, flying insects, buildings and bridges;Hydraulics: pipes, open channels, waves, rivers, blood circulation;meteodynamics: meteorology, climatology.

关键词： navier stokes Differential Equation Fluids Mechanics

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A Computational Investigation of the Lid-Driven Cavity Flow

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American Journal of Computational Mathematics 2022年第2期12卷 283-296页

作者： Nawal Odah Al-Atawi Daoud Suleiman Mashat Department of Mathematics Numerical Analysis King Abdulaziz University Jeddah Saudi Arabia

The lid-driven cavity is an important fluid mechanical system that serves as a benchmark for testing numerical methods and for studying fundamental aspects of incompressible flows in confined volumes. These flows are driven by the tangential motion of a bounding wall. The lid-driven cavity serves as a benchmark for testing numerical methods and for studying fundamental aspects of incompressible flows in confined volumes. This article presents a complete study of lid-driven cavity flows, with the primary focus being placed on the development of the flow when the Reynolds number was increased. In order to fully comprehend the physics of flow, it is necessary to take into consideration not only pure two-dimensional flows but also flows that are periodic in one space direction and the whole three-dimensional flow.

关键词： Steady Two Dimensional navier stokes Similarity Transformation Finite Difference Scheme

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