Navier, Claude-Louis

Claude Louis Marie Henri Navier, 1785-1836. French engineer, professor in Paris. 

Claude Louis Navier (1785-1836) was a French scientist who, using molecular arguments, derived the equation in 1882 George Gabriel Stokes (1819-1903) was a British physicist who made many contributions to the theory of viscous flow in the period 1845-1850. 

By combining Eqs. (B.2)-(B.5), one obtains the Navier-Stokes equations (named after Claude Louis Marie Henri Navier und George Gabriel Stokes) in their Cartesian notation ... 

Sometimes mathematical expressions of principles apply almost universally. In physics, for example, the conservation laws indicate that in a closed system certain measurable quantities remain constant mass, momentum, energy, and mass-energy. Lastly, systems of equations are required to describe physical phenomena of various levels of complexity. Examples include English astronomer and mathematician Sir Isaac Newton s equations of motion, Scottish physicist and mathematician James Clerk Maxwell s equations for electromagnetic fields, and Swiss mathematician and physicist Leonhard Euler s and French engineer Claude-Louis Navier and British mathematician and physicist George Gabriel Stokes s (Navier-Stokes) equations in fluid mechanics. 

The Navier-Stokes equations result from the work of Erench engineer Claude-Louis Navier and British physicist George Gabriel Stokes in the mid-nineteenth century. They did not work together, but their equations apply to incompressible flows. The Navier-Stokes equations are still used. At the end of the nineteenth century, Scottish engineer William John Macquorn Rankine changed the understanding of the way fluids... 

In 1843, Adhemar-Jean-Claude Barre de Saint Venant developed the most general form of the differential equations describing the motion of fluids, known as the Saint Venant equations. They are sometimes called Navier-Stokes equations after Claude-Louis Navier and Sir George Gabriel Stokes, who were working on them around the same time. 

The career of Claude-Louis Navier well illustrates the composite activity that engineering had become in revolutionary France. He was born into a bourgeois family in Burgundy and his education was closely supervised by Emiland-Marie Gauthey, his uncle. Emphasis was placed on taking theoretical studies in physics and making them... 

Na vier, Claude-Louis (1785 1836) A French engineer and physicist who studied at the ficole Polytechnique and then continued his studies at the Ccole Nationale des Fonts et Chauss6es (1804 )6). He was admitted to the French Academy of Science in 1824 and became professor at the Ecole Nationale des Fonts et Chauss s in 1830 before taking the position of professor of calculus and mechanics at the Ecole Polytechnique. He directed the construction of bridges at Choisy, Asnletes, and Argenteuil, and is noted for his work in fluid mechanics for which the Navier Stolms equations are best known. 

The equations can also be written using cylindrical and spherical coordinates. The solutions to the equations are called velocity fields or flow fields. The equations were developed by Claude-Louis Navier (1785-1836) in 1822, and developed further by George Stokes (1819-1903), and find many applications including the study of the flow of fluids in pipes and over surfaces. 

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