An Approximate Solution of Caram-Amundson Model for Combustion of Carbon

SHABBIR AHMED; KHALIQUR RAHMAN

doi:10.1252/jcej.34.73

Transport Phenomena, Fluid Mechanics and Mixing

An Approximate Solution of Caram-Amundson Model for Combustion of Carbon

SHABBIR AHMED, KHALIQUR RAHMAN

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Keywords: Modeling Combustion, Film Model, Carbon Slab, Diffusion, Heat Mass Transfer, Approximate Solution

JOURNAL RESTRICTED ACCESS

2001 Volume 34 Issue 1 Pages 73-76

DOI https://doi.org/10.1252/jcej.34.73

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Abstract

An approximate analytical solution of the Caram-Amundson model of combustion of carbon has been obtained based on a cubic polynomial for the homogenous reaction rate in the “film” surrounding a flat carbon slab. The film has been defined as the region where both the homogenous reaction rate and its gradient vanish at its edge. The agreement between the present solution and the numerical solution of Caram and Amundson is very good.

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