ONERA, France
Vladimir Sabelnikov gratuated (1971) from Moscow Institute of Physics and Technology (MIPT), Dolgoprudny, Russia, Ph.D. (1974), and Doctor of Science (1984) degrees from MIPT also. In 1974, he joined the Central Aerohydrodynamics Institute (TsAGI, Moscow, Russia), where he was Leading Scientist until 2000. From 2000 to 2016 he was a Leading Scientist in Energetic department of ONERA-French Aerospace Lab (Palaiseau Center, Chemin de la Hunière, BP 80100, 91123 Palaiseau Cedex). Since October 2016 he is a Senior Consultant (Emerit Consulting) in ONERA-The French Aerospace Lab. His current research interests include the study of combustion instabilities in gas turbines, combustion in supersonic flows, scramjets, combustion in micro-combustors, the plasma control of combustion, the development of Eulerian Monte Carlo method to solve the transported PDF (probability density function) equation in turbulent combustion, and the development of new PaSR (partially stirred reactor) and TPaSR (transported partially stirred reactor) models of turbulent combustion.
Vladimir Sabelnikov was awarded Zhukovsky Prize of Aviation Ministry of Russia for outstanding researches in turbulence and combustion, 1988. Vladimir Sabelnikov was promoted by French Government in July 2018 in the Order of Academic Palms (Officier dans l'Ordre des Palmes académiques). He is the co-author of the book, V.R. Kuznetsov, V.A. Sabelnikov: "Turbulence and combustion", Revised and augmented edition. Hemisphere Publishing Corporation. New-York, Washington, Philadelphia, London. 1990.
To show that two Damköhler's classical hypotheses can simultaneously be valid, the propagation of a molecular mixing layer attached to an infinitely thin reaction sheet in a highly turbulent flow is theoretically analyzed. Based on order-of-magnitude estimates, the area of the reaction-sheet surface is hypothesized to be controlled by turbulent mixing. Subsequently, using results of the theory of inert turbulent mixing, the surface area is estimated and Damköhler's classical scaling, i.e. the ratio of consumption velocity UT to rms turbulent velocity u' is proportional to square root of Damköhler number Da, is derived. Thus, the developed theory relies simultaneously on both Damköhler's hypotheses.
To support these analytical results, Direct Numerical Simulation (DNS) data obtained recently from 26 constant-density reaction waves characterized by low Damköhler (0.01 < Da < 1) and high Karlovitz (6.5 < Ka < 587) numbers are analyzed and the following trends are shown. First, the aforementioned scaling holds. Second, reaction-zone broadening is quite moderate even at Da = 0.01 and Ka = 587, with UT/u' being mainly controlled by the reaction-sheet-surface area. All these DNS findings are consistent with the developed theory.