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Approximations to the DAEM for Coal Pyrolysis

Approximations to the DAEM for Coal Pyrolysis
Approximations to the DAEM for Coal Pyrolysis
The Distributed Activation Energy Model (DAEM), used for the pyrolysis of a range of materials (including coal, biomass, residual oils and kerogen), assumes that the thermal decomposition of numerous components is described by a distribution of activation energies. Existing theories are reviewed with particular focus on methods used to evaluate solutions quickly and efficiently. This paper demonstrates that previous approaches taken to simplify the methods of solution can usually be identified as belonging to one of two distinct and physically relevant regimes. A careful analysis in these two regimes is given based upon asymptotic expansions, leading to systematic methods for rapidly finding accurate approximations. The new theory results in simple expressions for the devolatilisation rate of a given distribution of reactants. The method thereby provides a rapid and highly effective method for estimating kinetic parameters and the distribution of activation energies. Comparison of the simplified results with existing theories and with calculations of the full model are given. The methods provide a useful basis for calculations of coupled models of volatilisation and combustion, and for models with spatially varying temperatures
coal volatilization, fast evaluation, asymptotic analysis, inverse problem
0010-2180
107-117
Please, C.P.
118dffe7-4b38-4787-a972-9feec535839e
McGuinness, M. J.
d2026b73-0ae6-4f68-944e-db476fc91073
McElwain, D.L.S.
2b1b25a5-d12f-41bd-bf1a-0f8b9afd65b6
Please, C.P.
118dffe7-4b38-4787-a972-9feec535839e
McGuinness, M. J.
d2026b73-0ae6-4f68-944e-db476fc91073
McElwain, D.L.S.
2b1b25a5-d12f-41bd-bf1a-0f8b9afd65b6

Please, C.P., McGuinness, M. J. and McElwain, D.L.S. (2003) Approximations to the DAEM for Coal Pyrolysis. Combustion and Flame, 133 (1-2), 107-117. (doi:10.1016/S0010-2180(02)00554-0).

Record type: Article

Abstract

The Distributed Activation Energy Model (DAEM), used for the pyrolysis of a range of materials (including coal, biomass, residual oils and kerogen), assumes that the thermal decomposition of numerous components is described by a distribution of activation energies. Existing theories are reviewed with particular focus on methods used to evaluate solutions quickly and efficiently. This paper demonstrates that previous approaches taken to simplify the methods of solution can usually be identified as belonging to one of two distinct and physically relevant regimes. A careful analysis in these two regimes is given based upon asymptotic expansions, leading to systematic methods for rapidly finding accurate approximations. The new theory results in simple expressions for the devolatilisation rate of a given distribution of reactants. The method thereby provides a rapid and highly effective method for estimating kinetic parameters and the distribution of activation energies. Comparison of the simplified results with existing theories and with calculations of the full model are given. The methods provide a useful basis for calculations of coupled models of volatilisation and combustion, and for models with spatially varying temperatures

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Published date: 2003
Keywords: coal volatilization, fast evaluation, asymptotic analysis, inverse problem

Identifiers

Local EPrints ID: 29261
URI: http://eprints.soton.ac.uk/id/eprint/29261
ISSN: 0010-2180
PURE UUID: f83654d4-1a60-4901-a21a-9f3d1c0e27f7

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Date deposited: 12 May 2006
Last modified: 15 Mar 2024 07:30

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Contributors

Author: C.P. Please
Author: M. J. McGuinness
Author: D.L.S. McElwain

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