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**Thesis submitted by
Geordie Drummond McBAIN BE(Hons) JCU
for the degree of Doctor of Philosophy
in the School of Engineering
James Cook University**

**19 November 1999**

- STATEMENT OF ACCESS
- Contents
- List of Figures
- STATEMENT OF SOURCES
- Preface
- Nomenclature
- Introduction

- Basic Equations of Vapour Transport
- Field equations
- Boundary conditions
- Nondimensionalization
- The single fluid heat transfer problem
- Geometry
- Some properties of the equations

- Literature Review
- Free convection vapour transport
- The Stefan diffusion tube
- Gas-filled enclosures
- Klosse and Ullersma (1973)
- Hu and El-Wakil (1974)
- Jhaveri, Markham and Rosenberger (1981)
- Jhaveri and Rosenberger (1982)
- Bejan (1985)
- Keey and Wee (1985)
- Trevisan and Bejan (1987)
- Ranganathan and Viskanta (1988)
- Nelson and Wood (1989)
- Wee, Keey and Cunningham (1989)
- Lin, Huang and Chang (1990)
- Weaver and Viskanta (1991
*a*) - Weaver and Viskanta (1991
*b*) - Weaver and Viskanta (1991
*c*) - Béghein, Haghighat and Allard (1992)
- McBain (1995, 1997
*b*) - Costa (1997)
- Rosenberger et al. (1997)
- Conclusions

- The Narrow Cavity Limit
- Introduction
- The two-dimensional equations
- The narrow cavity limit
- The fully developed solution
- A numerical example
- Limitations of the narrow cavity limit
- Conclusions

- The Floor and the Ceiling
- Vapour transport in
*Fastflo* - Results
- Conclusions on the use of
*Fastflo* - The floor and ceiling problems
- The conduction-diffusion regime
- A possible analytical approach
- Conclusions

- Vapour transport in
- Low Mass Transfer Rates
- Implications of the narrow cavity limit
- A rational approximation for low mass transfer rates
- Conclusions

- Cavities with Bounded Sections
- Introduction
- General model
- Narrow cavities with bounded sections
- Extreme spanwise aspect ratios
- Sections other than rectangular
- Flow in the spanwise symmetry plane
- Finite mass transfer rates
- Conclusions
- Two theorems on fully developed flow

- Bounded Cavities
- The spanwise component of velocity
- Spherical enclosures
- Previous work
- Geometry and boundary conditions
- The low Grashof number expansion
- Conduction-diffusion
- Creeping flow
- First order mass fraction and temperature
- First order flow correction for inertia
- First order flow correction for buoyancy
- Flow structure to first order
- Overall vapour and energy transfer rates

- Conclusions

- Conclusions
- References
- Sample
*Fasttalk*Code - Vector Fields in a Sphere
- Solenoidal fields
- Nonsolenoidal fields
- Boundary conditions
- The Stokes problem in the sphere
- Axisymmetric poloidal fields

- About this document ...

Geordie McBain 2001-01-27