Role of the Knudsen layer in determining surface reaction rates based on sticking coefficients

Peng Zhang; Chung K. Law

Role of the Knudsen layer in determining surface reaction rates based on sticking coefficients

Peng Zhang
, Chung K. Law

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

Abstract

Recent studies on catalytic micro-combustors and LPCVD (Low-pressure Chemical Vapor Deposition) have shown the necessity to include effects of the Knudsen layer on surface reactions. In the present work, a weakly rarefied flow of a binary gas mixture with surface reactions was analyzed by using Hamel's model of the Boltzmann equation and Nocilla's model of molecule-wall interaction. Particular interest was placed on the interaction between the Knudsen layer and surface reactions. The theoretical results show that the Knudsen layer modifies the incident flux of the molecules striking the surface and consequently the surface reaction rate, while the surface reactions in turn modify the flow structure in the Knudsen layer through the non-zero net flux at the surface. A general rate expression for a one-step surface reaction based on the sticking coefficient was obtained and can be readily extended to more complex surface reaction mechanisms. The assumptions underlying the widely-used Motz-Wise correction formula for surface reaction rate are discussed.

Original language	English
Title of host publication	Fall Technical Meeting of the Eastern States Section of the Combustion Institute 2007
Subtitle of host publication	"Chemical and Physical Processes in Combustion"
Publisher	Combustion Institute
Pages	628-631
ISBN (Print)	9781604239454
Publication status	Published - 2007
Externally published	Yes
Event	2007 Fall Technical Meeting of the Eastern States Section of the Combustion Institute: Chemical and Physical Processes in Combustion - University of Virginia, Charlottesville, United States Duration: 21 Oct 2007 → 24 Oct 2007 https://www.essci.org/conferences

Publication series

Name	Fall Technical Meeting of the Eastern States Section of the Combustion Institute

Conference

Conference	2007 Fall Technical Meeting of the Eastern States Section of the Combustion Institute
Place	United States
City	Charlottesville
Period	21/10/07 → 24/10/07
Internet address	https://www.essci.org/conferences

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

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Zhang, P., & Law, C. K. (2007). Role of the Knudsen layer in determining surface reaction rates based on sticking coefficients. In Fall Technical Meeting of the Eastern States Section of the Combustion Institute 2007: "Chemical and Physical Processes in Combustion" (pp. 628-631). (Fall Technical Meeting of the Eastern States Section of the Combustion Institute). Combustion Institute.

Zhang, Peng ; Law, Chung K. / Role of the Knudsen layer in determining surface reaction rates based on sticking coefficients. Fall Technical Meeting of the Eastern States Section of the Combustion Institute 2007: "Chemical and Physical Processes in Combustion". Combustion Institute, 2007. pp. 628-631 (Fall Technical Meeting of the Eastern States Section of the Combustion Institute).

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title = "Role of the Knudsen layer in determining surface reaction rates based on sticking coefficients",

abstract = "Recent studies on catalytic micro-combustors and LPCVD (Low-pressure Chemical Vapor Deposition) have shown the necessity to include effects of the Knudsen layer on surface reactions. In the present work, a weakly rarefied flow of a binary gas mixture with surface reactions was analyzed by using Hamel's model of the Boltzmann equation and Nocilla's model of molecule-wall interaction. Particular interest was placed on the interaction between the Knudsen layer and surface reactions. The theoretical results show that the Knudsen layer modifies the incident flux of the molecules striking the surface and consequently the surface reaction rate, while the surface reactions in turn modify the flow structure in the Knudsen layer through the non-zero net flux at the surface. A general rate expression for a one-step surface reaction based on the sticking coefficient was obtained and can be readily extended to more complex surface reaction mechanisms. The assumptions underlying the widely-used Motz-Wise correction formula for surface reaction rate are discussed.",

author = "Peng Zhang and Law, \{Chung K.\}",

note = "Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].; 2007 Fall Technical Meeting of the Eastern States Section of the Combustion Institute : Chemical and Physical Processes in Combustion ; Conference date: 21-10-2007 Through 24-10-2007",

year = "2007",

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isbn = "9781604239454",

series = "Fall Technical Meeting of the Eastern States Section of the Combustion Institute",

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Zhang, P & Law, CK 2007, Role of the Knudsen layer in determining surface reaction rates based on sticking coefficients. in Fall Technical Meeting of the Eastern States Section of the Combustion Institute 2007: "Chemical and Physical Processes in Combustion". Fall Technical Meeting of the Eastern States Section of the Combustion Institute, Combustion Institute, pp. 628-631, 2007 Fall Technical Meeting of the Eastern States Section of the Combustion Institute, Charlottesville, United States, 21/10/07.

Role of the Knudsen layer in determining surface reaction rates based on sticking coefficients. / Zhang, Peng; Law, Chung K.
Fall Technical Meeting of the Eastern States Section of the Combustion Institute 2007: "Chemical and Physical Processes in Combustion". Combustion Institute, 2007. p. 628-631 (Fall Technical Meeting of the Eastern States Section of the Combustion Institute).

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - Role of the Knudsen layer in determining surface reaction rates based on sticking coefficients

AU - Zhang, Peng

AU - Law, Chung K.

N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

PY - 2007

Y1 - 2007

N2 - Recent studies on catalytic micro-combustors and LPCVD (Low-pressure Chemical Vapor Deposition) have shown the necessity to include effects of the Knudsen layer on surface reactions. In the present work, a weakly rarefied flow of a binary gas mixture with surface reactions was analyzed by using Hamel's model of the Boltzmann equation and Nocilla's model of molecule-wall interaction. Particular interest was placed on the interaction between the Knudsen layer and surface reactions. The theoretical results show that the Knudsen layer modifies the incident flux of the molecules striking the surface and consequently the surface reaction rate, while the surface reactions in turn modify the flow structure in the Knudsen layer through the non-zero net flux at the surface. A general rate expression for a one-step surface reaction based on the sticking coefficient was obtained and can be readily extended to more complex surface reaction mechanisms. The assumptions underlying the widely-used Motz-Wise correction formula for surface reaction rate are discussed.

AB - Recent studies on catalytic micro-combustors and LPCVD (Low-pressure Chemical Vapor Deposition) have shown the necessity to include effects of the Knudsen layer on surface reactions. In the present work, a weakly rarefied flow of a binary gas mixture with surface reactions was analyzed by using Hamel's model of the Boltzmann equation and Nocilla's model of molecule-wall interaction. Particular interest was placed on the interaction between the Knudsen layer and surface reactions. The theoretical results show that the Knudsen layer modifies the incident flux of the molecules striking the surface and consequently the surface reaction rate, while the surface reactions in turn modify the flow structure in the Knudsen layer through the non-zero net flux at the surface. A general rate expression for a one-step surface reaction based on the sticking coefficient was obtained and can be readily extended to more complex surface reaction mechanisms. The assumptions underlying the widely-used Motz-Wise correction formula for surface reaction rate are discussed.

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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84946561914&origin=recordpage

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 9781604239454

T3 - Fall Technical Meeting of the Eastern States Section of the Combustion Institute

SP - 628

EP - 631

BT - Fall Technical Meeting of the Eastern States Section of the Combustion Institute 2007

PB - Combustion Institute

T2 - 2007 Fall Technical Meeting of the Eastern States Section of the Combustion Institute

Y2 - 21 October 2007 through 24 October 2007

ER -

Zhang P, Law CK. Role of the Knudsen layer in determining surface reaction rates based on sticking coefficients. In Fall Technical Meeting of the Eastern States Section of the Combustion Institute 2007: "Chemical and Physical Processes in Combustion". Combustion Institute. 2007. p. 628-631. (Fall Technical Meeting of the Eastern States Section of the Combustion Institute).

Role of the Knudsen layer in determining surface reaction rates based on sticking coefficients

Abstract

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