MODELING CHAR OXIDATION AS A FUNCTION OF PRESSURE ...

Table of Contents
List of Figures.....................................................................................................................xi
List of Tables....................................................................................................................xiii
Nomenclature.....................................................................................................................xv
1. Introduction..................................................................................................................1
Background.......................................................................................................................1
Organization of this Dissertation.....................................................................................2
2. Literature Review.........................................................................................................5
The Three-Zone Theory..................................................................................................5
Char Oxidation Model Classifications.............................................................................7
Stoichiometry of the Carbon-Oxygen Reaction...............................................................9
Boundary Layer Diffusion.............................................................................................10
The Global n-th Order Rate Equation............................................................................12
Langmuir-Hinshelwood Kinetics....................................................................................13
Pore Diffusion and Effectiveness Factor........................................................................15
High Pressure Data in the Literature..............................................................................19
Data of Mathias................................................................................20
Data of Ranish and Walker ..................................................................20
Data of Banin et al. ...........................................................................21
Data of Croiset et al...........................................................................22
Data of MacNeil and Basu...................................................................23
3. Objectives and Approach...........................................................................................25
4. Analytical Solutions of the Effectiveness Factors.....................................................27
Introduction....................................................................................................................27
Task and Methodology..................................................................................................29
Task ............................................................................................29
Numerical Methods...........................................................................29
Results and Discussion..................................................................................................32
Evaluation of the General Asymptotic Solution...........................................32
Correction Function ..........................................................................34
Accuracy of the Corrected General Asymptotic Solution ................................38
Simplified General Moduli for the Langmuir Rate Equation.............................39
Summary and Conclusions.............................................................................................42
Recommendations..........................................................................................................43
vii