Contents

• STATEMENT OF ACCESS
• List of Figures
• STATEMENT OF SOURCES
• Preface
• Nomenclature
• Introduction
  • General description of the problem
  • Aims and significance
  • Methodology and scope
  • Summary
  
  
• Basic Equations of Vapour Transport
  • Field equations
    • The equations of continuity
    • The equation of motion
    • The energy equation
  • Boundary conditions
    • Velocity boundary conditions
    • Heat and mass transfer boundary conditions
  • Nondimensionalization
    • Mass and energy fluxes
    • Dimensionless field equations
    • Dimensionless transpiration condition
    • Wall fluxes
  • The single fluid heat transfer problem
  • Geometry
  • Some properties of the equations
    • Extrema of advected scalars
    • The nonexistence of hydrostatic solutions
    • An invariance property
  
  
• Literature Review
  • Free convection vapour transport
  • The Stefan diffusion tube
    • The no-slip condition
    • Meyer and Kostin (1975)
    • Markham and Rosenberger (1980)
    • Greenwell, Markham and Rosenberger (1981)
    • Buoyancy effects
    • Conclusions
  • 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 (1991a)
    • Weaver and Viskanta (1991b)
    • Weaver and Viskanta (1991c)
    • Béghein, Haghighat and Allard (1992)
    • McBain (1995, 1997b)
    • Costa (1997)
    • Rosenberger et al. (1997)
    • Conclusions
  
  
• The Narrow Cavity Limit
  • Introduction
  • The two-dimensional equations
  • The narrow cavity limit
  • The fully developed solution
    • Mass and energy fluxes at the vertical walls
    • The vertical pressure gradient
  • A numerical example
  • Limitations of the narrow cavity limit
    • The ceiling and floor regions
    • Stability
  • Conclusions
  
  
• The Floor and the Ceiling
  • Vapour transport in Fastflo
    • Continuum model
    • The interfacial velocity
    • Augmented Lagrangian algorithm
    • Implementation of unusual terms
    • The finite element mesh
  • Results
    • Grid independence
    • Postprocessing
    • Overall transfer rates
  • Conclusions on the use of Fastflo
  • The floor and ceiling problems
    • The fully developed solution
    • Numerical solutions
  • The conduction-diffusion regime
  • A possible analytical approach
  • Conclusions
  
  
• Low Mass Transfer Rates
  • Implications of the narrow cavity limit
    • Utility of the narrow cavity limit
    • The narrow cavity and `film theory'
    • Transport rate dependence on $\varPhi$
  • A rational approximation for low mass transfer rates
    • The low mass transfer rate equations
    • Other low mass transfer rate limits
  • Conclusions
  
  
• Cavities with Bounded Sections
  • Introduction
    • Boundaries of the conduction regime
  • General model
  • Narrow cavities with bounded sections
    • Forced flow
    • Natural flow
    • Completely enclosed flows
    • Numerical evaluation of the solution
    • Results for rectangular sections
  • Extreme spanwise aspect ratios
    • Small spanwise aspect ratios
    • Large spanwise aspect ratios
    • Extent of the effect of the end-walls
  • Sections other than rectangular
    • Circular section
    • Elliptic section
  • Flow in the spanwise symmetry plane
    • Vorticity at the section centre
    • Velocity in the plane of spanwise symmetry
  • Finite mass transfer rates
  • Conclusions
  • Two theorems on fully developed flow
  
  
• Bounded Cavities
  • The spanwise component of velocity
    • Inertial generation of spanwise flow
  • 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
  
  
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