Matalon–Matkowsky–Clavin–Joulin Theory
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Matalon–Matkowsky–Clavin–Joulin Theory
The Matalon–Matkowsky–Clavin–Joulin theory refers to a theoretical hydrodynamic model of a premixed flame with a large-amplitude flame wrinkling, developed independently by Moshe Matalon & Bernard J. Matkowsky and Paul Clavin & Guy Joulin, following the pioneering study by Paul Clavin and Forman A. Williams and by Pierre Pelcé and Paul Clavin. The theory, for the first time, calculated the burning rate of the curved flame that differs from the burning rate of the planar flame due to flame stretch, associated with the flame curvature and the strain imposed on the flame by the flow field. Burning rate formula According to Matalon–Matkowsky–Clavin–Joulin theory, if S_L and \delta_L are the laminar burning speed and thickness of a planar flame (and \tau_L=D_/S_L^2 be the corresponding flame residence time with D_ being the thermal diffusivity in the unburnt gas), then the burning speed S_T for the curved flame with respect to the unburnt gas is given by :\frac = 1 + \m ...
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Moshe Matalon (engineer)
Moshe Matalon () is an Israeli-American mechanical engineer and applied mathematician, currently the Caterpillar Distinguished Professor at University of Illinois at Urbana–Champaign. Biography He finished his bachelor's and master's degree from Tel Aviv University in 1973 and completed his PhD in 1977 from Cornell University, under the supervision of Geoffrey S. S. Ludford. He worked at New York University Tandon School of Engineering from 1978 to 1980 and then at Northwestern University from 1980 to 2006. He finally moved to University of Illinois at Urbana–Champaign in 2007. His research area includes combustion and fluid dynamics In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids – liquids and gases. It has several subdisciplines, including (the study of air and other gases in motion .... Matalon was elected Fellow of the American Physical Society (APS) in 1995, Fellow of the In ...
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Bernard J
Bernard ('' Bernhard'') is a French and West Germanic masculine given name. It has West Germanic origin and is also a surname. The name is attested from at least the 9th century. West Germanic ''Bernhard'' is composed from the two elements ''bern'' "bear" and ''hard'' "brave, hardy". Its native Old English cognate was ''Beornheard'', which was replaced or merged with the French form ''Bernard'' that was brought to England after the Norman Conquest. The name ''Bernhard'' was notably popular among Old Frisian speakers. Its wider use was popularized due to Saint Bernhard of Clairvaux (canonized in 1174). In Ireland, the name was an anglicized form of Brian. Geographical distribution Bernard is the second most common surname in France. As of 2014, 42.2% of all known bearers of the surname ''Bernard'' were residents of France (frequency 1:392), 12.5% of the United States (1:7,203), 7.0% of Haiti (1:382), 6.6% of Tanzania (1:1,961), 4.8% of Canada (1:1,896), 3.6% of Nigeria (1:12, ...
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Paul Clavin
Paul Clavin is a French scientist at Aix-Marseille University, working in the field of combustion and statistical mechanics. He is the founder of Institute for Research on Nonequilibrium Phenomena (IRPHE). Biography Paul Clavin obtained his first degree at ENSMA and then a Master's degree in Mathematics and Plasma Physics. For his PhD, he joined Ilya Prigogine in Brussels from 1967 to 1970 and then returned to Poitiers. Paul Clavin moved to Aix-Marseille University in the late 1970s and created the combustion research group. Clavin served as the chair of the Physical Mechanics at Institut Universitaire de France from 1993 to 2004 and the administrator from 2000 to 2005. He received Ya.B. Zeldovich Gold Medal from The Combustion Institute in 2014 and a fellow of The Combustion Institute. A workshop titled ''Out-of-Equilibrium Dynamics'' was conducted in 2012 in honor of Clavin's 70th birthday. He is the recipient of Grand Prix award from French Academy of Sciences in 1998 and ...
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Guy Joulin
Guy Joulin is a French scientist at Aix-Marseille University who works in the field of combustion. Biography Guy Joulin obtained his PhD degree from University of Poitiers in 1979 under the supervision of Paul Clavin. Joulin is the recipient of the CNRS Silver Medal The CNRS Silver Medal is a scientific award given every year to about fifteen researchers by the French National Centre for Scientific Research (CNRS). It is awarded to a researcher for "the originality, quality and importance of their work, re ... (1996). See also References External links * French fluid dynamicists Living people Fellows of the Combustion Institute Year of birth missing (living people) University of Poitiers alumni {{France-scientist-stub ...
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Forman A
Forman may refer to: Places *Forman, North Dakota, city in Sargent County, North Dakota, United States * Forman, West Virginia, unincorporated community in Grant County, West Virginia, United States * Forman Glacier between Mount Franke and Mount Cole, in the Queen Maud Mountains of Antarctica * Forman Park, in Syracuse, New York Surname * A. G. Forman CBE (1910–1967), Chief of Naval Staff of the Ghana Navy * Al Forman (1928–2013), baseball umpire * Alexander A. Forman (1843–1922), American soldier in the American Civil War * Alison Forman (born 1969), Australian soccer player * Andrew Forman (1465–1521), Scottish diplomat and Archbishop * Arthur Forman (1850–1905), English schoolmaster and cricketer * Bill Forman (1886–1958), baseball player * Bill Forman (1915–?), radio announcer and actor *Bruce Forman (born 1956), American jazz guitarist * Carol Forman (1918–1997), American actress * Charles William Forman (1821–1894), Presbyterian missionary in Pakistan * Chr ...
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Flame Stretch
In combustion, flame stretch (K) is a quantity which measures the amount of stretch of the flame surface due to curvature and due to the outer velocity field strain. The early concept of flame stretch was introduced by Karlovitz in 1953, although the correct definition was introduced by Forman A. Williams in 1975. George H. Markstein studied flame stretch by treating the flame surface as a hydrodynamic discontinuity (known as flame front). The flame stretch is also discussed by Bernard Lewis and Guenther von Elbe in their book. All these discussions treated flame stretch as an effect of flow velocity gradients. The stretch can be found even if there is no velocity gradient, but due to the flame curvature. So, the definition required a more general formulation and its precise definition is given as the ratio of rate of change of flame surface area to the area itself :K = \frac\frac. When K>0, the flame is stretched, otherwise compressed. Sometimes the flame stretch is defined as n ...
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Thermal Diffusivity
In thermodynamics, thermal diffusivity is the thermal conductivity divided by density and specific heat capacity at constant pressure. It is a measure of the rate of heat transfer inside a material and has SI, SI units of m2/s. It is an intensive property. Thermal diffusivity is usually denoted by lowercase alpha (), but , , (kappa), , , D_T are also used. The formula is \alpha = \frac, where : is thermal conductivity (W/(m·K)), : is specific heat capacity (J/(kg·K)), : is density (kg/m3). Together, can be considered the volumetric heat capacity (J/(m3·K)). Thermal diffusivity is a positive coefficient in the heat equation: \frac = \alpha \nabla^2 T. One way to view thermal diffusivity is as the ratio of the time derivative of temperature to its Second derivative#Generalization to higher dimensions, curvature, quantifying the rate at which temperature concavity is "smoothed out". In a substance with high thermal diffusivity, heat moves rapidly through it because the ...
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Markstein Number
In combustion engineering and explosion studies, the Markstein number (named after George H. Markstein who first proposed the notion in 1951) characterizes the effect of local heat release of a propagating flame on variations in the surface topology along the flame and the associated local flame front curvature. There are two dimensionless Markstein numbers:Clavin, Paul, and Geoff Searby. Combustion Waves and Fronts in Flows: Flames, Shocks, Detonations, Ablation Fronts and Explosion of Stars. Cambridge University Press, 2016. one is the curvature Markstein number and the other is the flow-strain Markstein number. They are defined as: :\mathcal_c = \frac, \quad \mathcal_s = \frac where \mathcal_c is the curvature Markstein length, \mathcal_s is the flow-strain Markstein length and \delta_L is the characteristic laminar flame thickness. The larger the Markstein length, the greater the effect of curvature on localised burning velocity. George H. Markstein (1911—2011) showed that ...
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G Equation
G, or g, is the seventh letter of the Latin alphabet, used in the modern English alphabet, the alphabets of other western European languages, and others worldwide. Its name in English is ''gee'' (pronounced ), plural ''gees''. The lowercase version can be written in two forms: the single-storey (sometimes "opentail") and the double-storey (sometimes "looptail") . The former is commonly used in handwriting and fonts based on it, especially fonts intended to be read by children. History The evolution of the Latin alphabet's G can be traced back to the Latin alphabet's predecessor, the Greek alphabet. The voiced velar stop was represented by the third letter of the Greek alphabet, gamma (Γ), which was later adopted by the Etruscan language. Latin then borrowed this "rounded form" of gamma, C, to represent the same sound in words such as ''recei'', which was likely an early dative form of '' rex'', meaning "king", as found in an "early Latin inscription." Over time, how ...
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Fluid Dynamics
In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids – liquids and gases. It has several subdisciplines, including (the study of air and other gases in motion) and (the study of water and other liquids in motion). Fluid dynamics has a wide range of applications, including calculating forces and moment (physics), moments on aircraft, determining the mass flow rate of petroleum through pipeline transport, pipelines, weather forecasting, predicting weather patterns, understanding nebulae in interstellar space, understanding large scale Geophysical fluid dynamics, geophysical flows involving oceans/atmosphere and Nuclear weapon design, modelling fission weapon detonation. Fluid dynamics offers a systematic structure—which underlies these practical disciplines—that embraces empirical and semi-empirical laws derived from flow measurement and used to solve practical problems. The solution to a fl ...
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