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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