An analysis of the pressure build-up inside a reacting pellet during gas solid reactions

Tarasankar Debroy, K. P. Abraham

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

A method has been outlined for the calculation of the pressure gradient that can exist within the reacted shell when a spherical pellet reacts with a gas and undergoes a transport controlled topochemical reaction. It is known that pressure gradients can arise because of Knudsen flow existing in the reacted shell with small pores and the reactant gas having a different diffusivity than that of the product gas. The phenomena can be represented by a boundary value problem involving a set of partial differential equations with a moving boundary, incorporating time and positional dependence of diffusivities of the reactant and product gases. In the present work, the resulting equations have been solved numerically. A study has been made of the influence of the relevant parameters like total and Knudsen diffusivity ratios of the reactant and product gases, the porosity to tortuosity ratio of the reacted shell, the Biot modulus, the equilibrium constant of the reaction and the viscous flow parameter on the pressure build up inside the reacted shell.

Original languageEnglish (US)
Pages (from-to)349-354
Number of pages6
JournalMetallurgical Transactions
Volume5
Issue number2
DOIs
StatePublished - Feb 1 1974

Fingerprint

Gases
Pressure gradient
Equilibrium constants
Viscous flow
Boundary value problems
Partial differential equations
Porosity

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

@article{ef4b5bfa28b945b7b0985285ff29801d,
title = "An analysis of the pressure build-up inside a reacting pellet during gas solid reactions",
abstract = "A method has been outlined for the calculation of the pressure gradient that can exist within the reacted shell when a spherical pellet reacts with a gas and undergoes a transport controlled topochemical reaction. It is known that pressure gradients can arise because of Knudsen flow existing in the reacted shell with small pores and the reactant gas having a different diffusivity than that of the product gas. The phenomena can be represented by a boundary value problem involving a set of partial differential equations with a moving boundary, incorporating time and positional dependence of diffusivities of the reactant and product gases. In the present work, the resulting equations have been solved numerically. A study has been made of the influence of the relevant parameters like total and Knudsen diffusivity ratios of the reactant and product gases, the porosity to tortuosity ratio of the reacted shell, the Biot modulus, the equilibrium constant of the reaction and the viscous flow parameter on the pressure build up inside the reacted shell.",
author = "Tarasankar Debroy and Abraham, {K. P.}",
year = "1974",
month = "2",
day = "1",
doi = "10.1007/BF02644101",
language = "English (US)",
volume = "5",
pages = "349--354",
journal = "Journal of Light Metals",
issn = "1073-5623",
publisher = "Springer Boston",
number = "2",

}

An analysis of the pressure build-up inside a reacting pellet during gas solid reactions. / Debroy, Tarasankar; Abraham, K. P.

In: Metallurgical Transactions, Vol. 5, No. 2, 01.02.1974, p. 349-354.

Research output: Contribution to journalArticle

TY - JOUR

T1 - An analysis of the pressure build-up inside a reacting pellet during gas solid reactions

AU - Debroy, Tarasankar

AU - Abraham, K. P.

PY - 1974/2/1

Y1 - 1974/2/1

N2 - A method has been outlined for the calculation of the pressure gradient that can exist within the reacted shell when a spherical pellet reacts with a gas and undergoes a transport controlled topochemical reaction. It is known that pressure gradients can arise because of Knudsen flow existing in the reacted shell with small pores and the reactant gas having a different diffusivity than that of the product gas. The phenomena can be represented by a boundary value problem involving a set of partial differential equations with a moving boundary, incorporating time and positional dependence of diffusivities of the reactant and product gases. In the present work, the resulting equations have been solved numerically. A study has been made of the influence of the relevant parameters like total and Knudsen diffusivity ratios of the reactant and product gases, the porosity to tortuosity ratio of the reacted shell, the Biot modulus, the equilibrium constant of the reaction and the viscous flow parameter on the pressure build up inside the reacted shell.

AB - A method has been outlined for the calculation of the pressure gradient that can exist within the reacted shell when a spherical pellet reacts with a gas and undergoes a transport controlled topochemical reaction. It is known that pressure gradients can arise because of Knudsen flow existing in the reacted shell with small pores and the reactant gas having a different diffusivity than that of the product gas. The phenomena can be represented by a boundary value problem involving a set of partial differential equations with a moving boundary, incorporating time and positional dependence of diffusivities of the reactant and product gases. In the present work, the resulting equations have been solved numerically. A study has been made of the influence of the relevant parameters like total and Knudsen diffusivity ratios of the reactant and product gases, the porosity to tortuosity ratio of the reacted shell, the Biot modulus, the equilibrium constant of the reaction and the viscous flow parameter on the pressure build up inside the reacted shell.

UR - http://www.scopus.com/inward/record.url?scp=0016028443&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0016028443&partnerID=8YFLogxK

U2 - 10.1007/BF02644101

DO - 10.1007/BF02644101

M3 - Article

AN - SCOPUS:0016028443

VL - 5

SP - 349

EP - 354

JO - Journal of Light Metals

JF - Journal of Light Metals

SN - 1073-5623

IS - 2

ER -