Combustion Synthesis of a Porous Layer

K. G. Shkadinsky; G. V. Shkadinskaya; B. J. Matkowsky; V. A. Volpert

doi:10.1080/00102209308947239

Combustion Synthesis of a Porous Layer

K. G. Shkadinsky, G. V. Shkadinskaya, B. J. Matkowsky, V. A. Volpert

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We consider a model of filtration combustion in a thin porous layer immersed in a bath of gaseous oxidizer, which provides for exchange of the oxidizer between the pores and the bath. We employ approximate analytical methods to derive explicit analytical expressions for various quantities associated with uniformly propagating solutions, including the combustion temperature, the propagation velocity, and the final depth of conversion, as well as results about the structure of the solution. We also employ numerical computation to find profiles for the reaction rate, temperature, pressure, density and depth of conversion, as well as to determine the stability of the solutions as a function of various parameters. We identify a new pulsating instability associated with gas mass transfer between the pores and the bath, and describe the mechanism of pulsations.

Original language	English (US)
Pages (from-to)	247-270
Number of pages	24
Journal	Combustion science and technology
Volume	88
Issue number	3-4
DOIs	https://doi.org/10.1080/00102209308947239
State	Published - Feb 1 1993

Keywords

filtration combustion
self-propagating high-temperature synthesis
traveling waves

ASJC Scopus subject areas

Chemistry(all)
Chemical Engineering(all)
Fuel Technology
Energy Engineering and Power Technology
Physics and Astronomy(all)

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10.1080/00102209308947239

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title = "Combustion Synthesis of a Porous Layer",

abstract = "We consider a model of filtration combustion in a thin porous layer immersed in a bath of gaseous oxidizer, which provides for exchange of the oxidizer between the pores and the bath. We employ approximate analytical methods to derive explicit analytical expressions for various quantities associated with uniformly propagating solutions, including the combustion temperature, the propagation velocity, and the final depth of conversion, as well as results about the structure of the solution. We also employ numerical computation to find profiles for the reaction rate, temperature, pressure, density and depth of conversion, as well as to determine the stability of the solutions as a function of various parameters. We identify a new pulsating instability associated with gas mass transfer between the pores and the bath, and describe the mechanism of pulsations.",

keywords = "filtration combustion, self-propagating high-temperature synthesis, traveling waves",

author = "Shkadinsky, {K. G.} and Shkadinskaya, {G. V.} and Matkowsky, {B. J.} and Volpert, {V. A.}",

note = "Funding Information: We are pleased to thank Prof. A. G. Merzhanov and Dr. W. G. Grosshandler for helping to arrange the collaboration between the authors, under the auspices of the U.S.-USSR Program of Cooperation in Basic ScientificResearch,jointly sponsored by the N.S.F. and the USSR Academy of Sciences.This research was supported in part by O.O.E. Grant DE-FG02-87ER25027 and N.S.F. Grant CTS 9008624. Permananent Address for KGS and VAV: Institute of Structural Macrokinetics, Russian Academy of Sciences. 142432 Chemogolovka, Moscow Region, Russia, Permanent Address for GVS: Institute of Chemical Physics, Russian Academy of Sciences, 142432 Chemogolovka, Moscow Region, Russia.",

year = "1993",

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doi = "10.1080/00102209308947239",

language = "English (US)",

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pages = "247--270",

journal = "Combustion Science and Technology",

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T1 - Combustion Synthesis of a Porous Layer

AU - Shkadinsky, K. G.

AU - Shkadinskaya, G. V.

AU - Matkowsky, B. J.

AU - Volpert, V. A.

N1 - Funding Information: We are pleased to thank Prof. A. G. Merzhanov and Dr. W. G. Grosshandler for helping to arrange the collaboration between the authors, under the auspices of the U.S.-USSR Program of Cooperation in Basic ScientificResearch,jointly sponsored by the N.S.F. and the USSR Academy of Sciences.This research was supported in part by O.O.E. Grant DE-FG02-87ER25027 and N.S.F. Grant CTS 9008624. Permananent Address for KGS and VAV: Institute of Structural Macrokinetics, Russian Academy of Sciences. 142432 Chemogolovka, Moscow Region, Russia, Permanent Address for GVS: Institute of Chemical Physics, Russian Academy of Sciences, 142432 Chemogolovka, Moscow Region, Russia.

PY - 1993/2/1

Y1 - 1993/2/1

N2 - We consider a model of filtration combustion in a thin porous layer immersed in a bath of gaseous oxidizer, which provides for exchange of the oxidizer between the pores and the bath. We employ approximate analytical methods to derive explicit analytical expressions for various quantities associated with uniformly propagating solutions, including the combustion temperature, the propagation velocity, and the final depth of conversion, as well as results about the structure of the solution. We also employ numerical computation to find profiles for the reaction rate, temperature, pressure, density and depth of conversion, as well as to determine the stability of the solutions as a function of various parameters. We identify a new pulsating instability associated with gas mass transfer between the pores and the bath, and describe the mechanism of pulsations.

AB - We consider a model of filtration combustion in a thin porous layer immersed in a bath of gaseous oxidizer, which provides for exchange of the oxidizer between the pores and the bath. We employ approximate analytical methods to derive explicit analytical expressions for various quantities associated with uniformly propagating solutions, including the combustion temperature, the propagation velocity, and the final depth of conversion, as well as results about the structure of the solution. We also employ numerical computation to find profiles for the reaction rate, temperature, pressure, density and depth of conversion, as well as to determine the stability of the solutions as a function of various parameters. We identify a new pulsating instability associated with gas mass transfer between the pores and the bath, and describe the mechanism of pulsations.

KW - filtration combustion

KW - self-propagating high-temperature synthesis

KW - traveling waves

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EP - 270

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Combustion Synthesis of a Porous Layer

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