Ph.D. Dissertation Defense by Muhammad K. Akbar
Thursday, November 11, 2004
(Dr. S. Mostafa Ghiaasiaan, Chair)
"Transport Phenomena in Complex Two and Three-Phase Flow Systems "
Abstract
Two and three-phase flow processes involving gas, liquid and solid, are common
in nature and industry, and include some of the most complex and poorly-understood
transport problems. In this research hydrodynamics, heat and mass transfer
processes in complex two and three-phase flows, in particular flows involving
a particulate solid phase, were investigated.
The interfacial surface area concentration in a short vertical column subject
to the through flow of a solid-liquid-gas slurry made by mixing aqueous fibrous
paper pulp with a nitrogen-carbon dioxide gas mixture was experimentally
measured. The gas absorption technique was applied, using CO2 as the transferred
species and sodium hydroxide as the alkaline agent in water. The experimental
data were statistically analyzed in order to elucidate the various parametric
dependencies of the interfacial surface area concentration, and were empirically
correlated.
The absorption of a gaseous species by a slurry droplet with internal circulation
and containing reactive and sparingly soluble micro particles was numerically
simulated. The problem is relevant to spray flue gas desulfurization systems,
and the objective was to elucidate the effect of the reactive solid particles
on the parameters that determine the mass transfer processes. It was shown
that the reactant micro particles enhance the absorption rate primarily by
increasing the gradient of the concentration of the absorbed species beneath
the droplet surface. The absorption rate was sensitive to droplet recirculation
strength, and shrinkage of reactive particles with time resulted in a declining
total absorption rate.
The transport of soot particles, suspended in laminar hot gas flowing in
a tube, was numerically modeled and parametrically studied, in order to assess
the coupled effects of thermal radiation and thermophoresis on the transport
of monodisperse, as well as polydisperse soot particles. It was shown that,
as a consequence of strongly coupled thermal radiation and thermophoresis,
a radially-nonuniform temperature profile develops, leading to a sharp, non-uniform
radial soot concentration profiles. In comparison with the more realistic
log-normally-distributed particles, the assumption of monodisperse particles
lead to significant over prediction of the overall effect of thermophoresis.
The transport and removal of particles suspended in gaseous bubbles rising
in a stagnant liquid pool were modeled based on a hybrid Eulerian –
Monte Carlo method. The bubble hydrodynamics were treated in Eulerian frame,
using the Volume-of-Fluid (VOF) technique for modeling the motion of the
gas-liquid interphase. Equations of motion were numerically solved for a
large number of particles in Lagrangian frame, accounting for sedimentation,
Brownian, convection, and inertial effects. It was shown that the bubbles
of interest undergo shape change, and have complex internal circulation patterns,
all of which influence the removal of particles. Model predictions were also
compared with available experimental data.
Using an important resemblance between two-phase flow in microchannels, and
in large channels at microgravity, a simple Weber number-based two-phase
flow regime map was developed for microchannels, and was shown to predict
the available experimental data. The stability of gas-liquid stratified flow
regime in horizontal annular channels was also investigated. Based on the
available air-water experimental data, a criterion for the prediction of
conditions that lead to flow regime transition out of the stratified wavy
flow pattern was proposed.