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Navier
Claude-Louis Navier (born Claude Louis Marie Henri Navier; ; 10 February 1785 – 21 August 1836) was a French civil engineer, affiliated with the French government, and a physicist who specialized in continuum mechanics. The Navier–Stokes equations refer eponymously to him, with George Gabriel Stokes. Biography After the death of his father in 1793, Navier's mother left his education in the hands of his uncle Émiland Gauthey, an engineer with the Corps of Bridges and Roads ''(Corps des Ponts et Chaussées)''. In 1802, Navier enrolled at the École polytechnique, and in 1804 continued his studies at the École Nationale des Ponts et Chaussées, from which he graduated in 1806. He eventually succeeded his uncle as ''Inspecteur general'' at the Corps des Ponts et Chaussées. He directed the construction of bridges at Choisy, Asnières and Argenteuil in the Department of the Seine, and built a footbridge to the Île de la Cité in Paris. His 1824 design for the Pont des ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Navier–Stokes Equations
The Navier–Stokes equations ( ) are partial differential equations which describe the motion of viscous fluid substances. They were named after French engineer and physicist Claude-Louis Navier and the Irish physicist and mathematician George Gabriel Stokes. They were developed over several decades of progressively building the theories, from 1822 (Navier) to 1842–1850 (Stokes). The Navier–Stokes equations mathematically express momentum balance for Newtonian fluids and make use of conservation of mass. They are sometimes accompanied by an equation of state relating pressure, temperature and density. They arise from applying Isaac Newton's second law to fluid motion, together with the assumption that the stress in the fluid is the sum of a diffusing viscous term (proportional to the gradient of velocity) and a pressure term—hence describing ''viscous flow''. The difference between them and the closely related Euler equations is that Navier–Stokes equat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fluid Mechanics
Fluid mechanics is the branch of physics concerned with the mechanics of fluids (liquids, gases, and plasma (physics), plasmas) and the forces on them. Originally applied to water (hydromechanics), it found applications in a wide range of disciplines, including mechanical engineering, mechanical, aerospace engineering, aerospace, civil engineering, civil, chemical engineering, chemical, and biomedical engineering, as well as geophysics, oceanography, meteorology, astrophysics, and biology. It can be divided into ''fluid statics'', the study of various fluids at rest; and ''fluid dynamics'', the study of the effect of forces on fluid motion. It is a branch of ''continuum mechanics'', a subject which models matter without using the information that it is made out of atoms; that is, it models matter from a macroscopic viewpoint rather than from microscopic. Fluid mechanics, especially fluid dynamics, is an active field of research, typically mathematically complex. Many problems a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
École Nationale Des Ponts Et Chaussées
École nationale des ponts et chaussées (; ; abbr. ENPC), also nicknamed Ponts (), formerly known as École des Ponts ParisTech (), is a grande école in the field of science, engineering and technology, of the Polytechnic Institute of Paris, a public research university. Founded in 1747 by Daniel-Charles Trudaine, it is one of the oldest and one of the most prestigious French '' Grandes Écoles''. Historically, its primary mission has been to train engineering officials and civil engineers but the school now offers a wide-ranging education including computer science, applied mathematics, civil engineering, mechanics, finance, economics, innovation, urban studies, environment and transport engineering. École des Ponts is today largely international: 43% of its students obtain a double degree abroad, and 30% of an ''ingénieur'' cohort is foreign. It is headquartered in Marne-la-Vallée (suburb of Paris), France, and was a founding member of ParisTech (Paris Institute of Techn ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Linear Elasticity
Linear elasticity is a mathematical model of how solid objects deform and become internally stressed by prescribed loading conditions. It is a simplification of the more general nonlinear theory of elasticity and a branch of continuum mechanics. The fundamental assumptions of linear elasticity are infinitesimal strains — meaning, "small" deformations — and linear relationships between the components of stress and strain — hence the "linear" in its name. Linear elasticity is valid only for stress states that do not produce yielding. Its assumptions are reasonable for many engineering materials and engineering design scenarios. Linear elasticity is therefore used extensively in structural analysis and engineering design, often with the aid of finite element analysis. Mathematical formulation Equations governing a linear elastic boundary value problem are based on three tensor partial differential equations for the balance of linear momentum and six in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of The 72 Names On The Eiffel Tower
On the Eiffel Tower, 72 names of France, French men (scientists, engineers, and mathematicians) are engraved in recognition of their contributions. Gustave Eiffel chose this "invocation of science" because of his concern over the Eiffel Tower#Artists' protest, protests against the tower, and chose names of those who had distinguished themselves since 1789. The engravings are found on the sides of the tower under the first balcony, in letters about tall, and were originally painted in gold. The engraving was painted over at the beginning of the 20th century and restored in 1986–87 by Société Nouvelle d'exploitation de la Tour Eiffel, the company that the city of Paris contracts to operate the Tower. The repainting of 2010–11 restored the letters to their original gold colour. There are also names of the engineers who helped build the Tower and design its architecture on a plaque on the top of the Tower, where a laboratory was built as well. List Location The list is spl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pont Des Invalides
The Pont des Invalides () is the lowest bridge traversing the Seine in Paris. History The story of this bridge started in 1821, when engineer Claude Navier conceived a technologically revolutionary bridge that crossed the Seine in one single reach without any point of support in between. The proposed suspension bridge, the construction of which started in 1824, was meant to be erected opposite to the Hotel des Invalides on the site of the current Pont Alexandre III. Navier failed to leave a safety margin on top of his calculations, and the contract to build the bridge was unusually rigid. After Navier's plan had been approved by the private investment company, the contractor could not make changes without approval, and there was no authorization to suggest improvements. The bridge became unsafe after cracking of the anchorages due to natural settling and additional movement after a water main break near the buttresses. The bridge had to be dismantled, and Navier was chastised by a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
