Navier–Stokes equations were partially named after which French engineer?
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Navier–Stokes equations In physics, the Navier–Stokes equations , named after Claude-Louis Navier and George Gabriel Stokes, describe the motion of viscous fluid substances. These balance equations arise from applying 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 main difference between them and the simpler Euler equations for inviscid flow is that Navier–Stokes equations also factor in the Froude limit (no external field) and are not conservation equations, but rather a dissipative system, in the sense that they cannot be put into the quasilinear homogeneous form:
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Claude-Louis Navier Claude-Louis Navier (born Claude Louis Marie Henri Navier; ] ; 10 February 1785 – 21 August 1836), was a French engineer and physicist who specialized in mechanics.
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Basset–Boussinesq–Oseen equation In fluid dynamics, the Basset–Boussinesq–Oseen equation (BBO equation) describes the motion of – and forces on – a small particle in unsteady flow at low Reynolds numbers. The equation is named after Joseph Valentin Boussinesq, Alfred Barnard Basset and Carl Wilhelm Oseen.
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Galilei number In fluid dynamics, the Galilei number (Ga), sometimes also referred to as Galileo number (see discussion), is a dimensionless number named after Italian scientist Galileo Galilei (1564-1642).
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Louis Napoleon George Filon Louis Napoleon George Filon, FRS (22 November 1875 – 29 December 1937) was a French-born English applied mathematician, famous for his research on classical mechanics and particularly the theory of elasticity and the mechanics of continuous media. He also developed a method for the numerical quadrature of oscillatory integrals, now known as "Filon quadrature". He was Vice Chancellor of the University of London from 1933–35.
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Stanislas Naulin Stanislas Naulin (27 April 1870 – 3 November 1932) was a French general.
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Georges Bouton Georges Bouton (1847–1938) was a French engineer, who along with fellow Frenchman Marquis Jules-Albert de Dion, founded De Dion-Bouton in 1883. The pair had first worked together in 1882 to produce a self-propelled steam vehicle. The result gave birth the company which, at the time went under the name De Dion.
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Pierre Bouguer Pierre Bouguer (] ) (16 February 1698, Croisic – 15 August 1758, Paris) was a French mathematician, geophysicist, geodesist, and astronomer. He is also known as "the father of naval architecture".
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J. Augustine DeSazilly J. Augustine DeSazilly ("fl." mid-19th century) was a French engineer.
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Émile Léonard Mathieu Émile Léonard Mathieu (] ; 15 May 1835, Metz – 19 October 1890, Nancy) was a French mathematician. He is most famous for his work in group theory and mathematical physics. He has given his name to the Mathieu functions, Mathieu groups and Mathieu transformation. He authored a treatise of mathematical physics in 6 volumes.
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Charles Étienne Louis Camus Charles Étienne Louis Camus (25 August 1699 – 2 February 1768), was a French mathematician and mechanician who was born at Crécy-en-Brie, near Meaux.
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Jean le Rond d'Alembert Jean-Baptiste le Rond d'Alembert ( ; ] ; 16 November 1717 – 29 October 1783) was a French mathematician, mechanician, physicist, philosopher, and music theorist. Until 1759 he was also co-editor with Denis Diderot of the "Encyclopédie". D'Alembert's formula for obtaining solutions to the wave equation is named after him. The Wave equation is sometimes referred to as d'Alembert's equation.
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Ferdinand Carré Ferdinand Philippe Edouard Carré (11 March 1824 – 11 January 1900) was a French engineer, born at Moislains (Somme) on 11 March 1824. Carré is best known as the inventor of refrigeration equipment used to produce ice. He died on 11 January 1900 at Pommeuse (Seine-et-Marne).
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Louis-Antoine Ranvier Louis-Antoine Ranvier (2 October 1835 – 22 March 1922) was a French physician, pathologist, anatomist and histologist, who discovered nodes of Ranvier, regularly spaced discontinuities of the myelin sheath, occurring at varying intervals along the length of a nerve fiber.
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Émile Borel Félix Édouard Justin Émile Borel (] ; 7 January 1871 – 3 February 1956) was a French mathematician and politician. As a mathematician, he was known for his founding work in the areas of measure theory and probability.
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Joseph Liouville Joseph Liouville FRS FRSE FAS ( ; ] ; 24 March 1809 – 8 September 1882) was a French mathematician.
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Duhamel's principle In mathematics, and more specifically in partial differential equations, Duhamel's principle is a general method for obtaining solutions to inhomogeneous linear evolution equations like the heat equation, wave equation, and vibrating plate equation. It is named after Jean-Marie Duhamel who first applied the principle to the inhomogeneous heat equation that models, for instance, the distribution of heat in a thin plate which is heated from beneath. For linear evolution equations without spatial dependency, such as a harmonic oscillator, Duhamel's principle reduces to the method of variation of parameters technique for solving linear inhomogeneous ordinary differential equations.
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Antoine Lavoisier Antoine-Laurent de Lavoisier (also Antoine Lavoisier after the French Revolution; ] ; 26 August 17438 May 1794;) was a French nobleman and chemist central to the 18th-century chemical revolution and had a large influence on both the history of chemistry and the history of biology. He is widely considered in popular literature as the "father of modern chemistry".
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William Reginald Dean William Reginald Dean (1896–1973) was a British applied mathematician and fluid dynamicist. His research interests included Stokes flow, solid mechanics, and flow in curved channels. The Dean number bears his name.
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Pierre Henri Hugoniot Pierre-Henri Hugoniot (born in Allenjoie, Doubs, France on June 5, 1851 – died in Nantes, France in February 1887) who mostly lived in Montbéliard, (Franche-Comté). He was an inventor, mathematician, and physicist who worked on fluid mechanics, especially on issues related to material shock.
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Stream function The stream function is defined for incompressible (divergence-free) flows in two dimensions – as well as in three dimensions with axisymmetry. The flow velocity components can then be expressed as the derivatives of the scalar stream function. The stream function can be used to plot streamlines, which represent the trajectories of particles in a steady flow. The two-dimensional Lagrange stream function was introduced by Joseph Louis Lagrange in 1781. The Stokes stream function is for axisymmetrical three-dimensional flow, and is named after George Gabriel Stokes.
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Jean-Baptiste Biot Jean-Baptiste Biot (] ; 21 April 1774 – 3 February 1862) was a French physicist, astronomer, and mathematician who established the reality of meteorites, made an early balloon flight, and studied the polarization of light. The mineral biotite was named in his honor.