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An Elementary Model for Autoignition of Free Round Turbulent Jets

Published on Jan 1, 2018in Siam Journal on Applied Mathematics 1.45
· DOI :10.1137/17M1147780
Peter V. Gordon7
Estimated H-index: 7
,
Uday G. Hegde4
Estimated H-index: 4
,
Michael C. Hicks8
Estimated H-index: 8
Cite
Abstract
This paper is concerned with the study of autoignition of fully developed free round turbulent jets consisting of oxidizing and chemically reacting components. We derive an elementary, still experimentally feasible, model for autoignition of such jets and present analysis of this model. The derivation of the model is based on the well-established experimental fact that the fully developed free round turbulent jets, in a first approximation, have the shape of a conical frustum. Moreover, the velocity as well as concentration fields within such jets, prior to autoignition, assume self-similar profiles and can be viewed as prescribed. Using these facts as well as the appropriately modified Semenov--Frank-Kamenetskii theory of thermal explosion we derive an equation that describes the initial stage of evolution of the temperature field within the jet. We provide detailed analysis of the model that results in a sharp condition for autoignition of free round turbulent jets in terms of principal physical and geo...
  • References (7)
  • Citations (1)
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References7
Newest
Published on Jul 8, 2015
Peter V. Gordon7
Estimated H-index: 7
(University of Akron),
Daniel J. Gotti1
Estimated H-index: 1
(USRA: Universities Space Research Association)
+ 3 AuthorsGregory I. Sivashinsky28
Estimated H-index: 28
(TAU: Tel Aviv University)
In this paper, we formulate and analyse an elementary model for autoignition of cylindrical laminar jets of fuel injected into an oxidizing ambient at rest. This study is motivated by renewed interest in analysis of hydrothermal flames for which such configuration is common. As a result of our analysis, we obtain a sharp characterization of the autoignition position in terms of the principal physical and geometrical parameters of the problem.
Published on Jan 15, 2014in arXiv: Analysis of PDEs
Peter V. Gordon7
Estimated H-index: 7
(University of Akron),
Vitaly Moroz15
Estimated H-index: 15
(Swansea University)
We consider a generalization of the Gelfand problem arising in Frank-Kamenetskii theory of thermal explosion. This generalization is a natural extension of the Gelfand problem to two-phase materials, where, in contrast to the classical Gelfand problem which uses a single temperature approach, the state of the system is described by two different temperatures. We show that similar to the classical Gelfand problem the thermal explosion occurs exclusively owing to the absence of stationary temperat...
Published on Jan 1, 1996
Haim Brezis67
Estimated H-index: 67
,
Thierry Cazenave26
Estimated H-index: 26
+ 1 AuthorsArthur Ramiandrisoa2
Estimated H-index: 2
Published on Jan 1, 1971
Mathemalical Tables1
Estimated H-index: 1
,
Milton Abramowitz18
Estimated H-index: 18
+ 1 AuthorsA. G. Greenhill1
Estimated H-index: 1
Published on Jan 1, 1963
G. N. Abramovich1
Estimated H-index: 1
Published on Jan 1, 1963
I. M. Gel'fand1
Estimated H-index: 1
The invention comprises a tool kit for engines having an alignment block adapted to fit over a pair of socketed press-in type rocker arm stud for acting as a guide in removing one of the press-in type studs, an alignment pin for aligning the block with the remaining stud, so that the block may accurately receive a tap for threading the bore of the removed press-in type stud so as to receive a threaded type stud.
Cited By1
Newest
Published on May 28, 2019in arXiv: Analysis of PDEs
Peter Gordon (KSU: Kent State University), Vitaly Moroz15
Estimated H-index: 15
(Swansea University),
Fedor Nazarov (KSU: Kent State University)
We consider the model of auto-ignition (thermal explosion) of a free round reactive turbulent jet. This model falls into the general class of Gelfand-type problems and constitutes a boundary value problem for a certain semi-linear elliptic equation that depends on two parameters: \alphacharacterizing the flow rate and \lambda(Frank-Kamentskii parameter) characterizing the strength of the reaction. Similarly to the classical Gelfand problem, this equation admits a solution when the Frank-Ka...
Published on Mar 1, 2019in Journal of Supercritical Fluids 3.48
Michael C. Hicks8
Estimated H-index: 8
(Glenn Research Center),
U.G. Hegde (Case Western Reserve University), J.J. Kojima
Abstract Results on the autoignition and stabilization of ethanol hydrothermal flames in a Supercritical Water Oxidation (SCWO) reactor operating at constant pressure are reported. The flames are observed as luminous reaction zones occurring in supercritical water; i.e., water at conditions above its critical point (approximately 22 MPa and 374 °C). A co-flow injector is used to inject fuel (inner flow), comprising an aqueous solution ranging from 20%-v to 50%-v ethanol, and air (annular flow) i...