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Development of Modelling Techniques for Pulsed Pressure Chemical Vapour Deposition (PP-CVD)Cave, Hadley Mervyn January 2008 (has links)
In this thesis, a numerical and theoretical investigation of the Pulsed Pressure Chemical
Vapour Deposition (PP-CVD) progress is presented. This process is a novel method for the
deposition of thin films of materials from either liquid or gaseous precursors. PP-CVD
operates in an unsteady manner whereby timed pulsed of the precursor are injected into a
continuously evacuated reactor volume.
A non-dimensional parameter indicating the extent of continuum breakdown under strong
temporal gradients is developed. Experimental measurements, supplemented by basic
continuum simulations, reveal that spatio-temporal breakdown of the continuum condition
occurs within the reactor volume. This means that the use of continuum equation based
solvers for modelling the flow field is inappropriate. In this thesis, appropriate methods are
developed for modelling unsteady non-continuum flows, centred on the particle-based Direct
Simulation Monte Carlo (DSMC) method.
As a first step, a basic particle tracking method and single processor DSMC code are used to
investigate the physical mechanisms for the high precursor conversion efficiency and
deposition uniformity observed in experimental reactors. This investigation reveals that at
soon after the completion of the PP-CVD injection phase, the precursor particles have an
approximately uniform distribution within the reactor volume. The particles then simply
diffuse to the substrate during the pump-down phase, during which the rate of diffusion
greatly exceeds the rate at which particles can be removed from the reactor. Higher precursor
conversion efficiency was found to correlate with smaller size carrier gas molecules and
moderate reactor peak pressure.
An unsteady sampling routine for a general parallel DSMC method called PDSC, allowing the
simulation of time-dependent flow problems in the near continuum range, is then developed
in detail. Nearest neighbour collision routines are also implemented and verified for this code.
A post-processing procedure called DSMC Rapid Ensemble Averaging Method (DREAM) is
developed to improve the statistical scatter in the results while minimising both memory and
simulation time. This method builds an ensemble average of repeated runs over small number
of sampling intervals prior to the sampling point of interest by restarting the flow using either
xi
a Maxwellian distribution based on macroscopic properties for near equilibrium flows
(DREAM-I) or output instantaneous particle data obtained by the original unsteady sampling
of PDSC for strongly non-equilibrium flows (DREAM-II). The method is validated by
simulating shock tube flow and the development of simple Couette flow. Unsteady PDSC is
found to accurately predict the flow field in both cases with significantly reduced run-times
over single processor code and DREAM greatly reduces the statistical scatter in the results
while maintaining accurate particle velocity distributions. Verification simulations are
conducted involving the interaction of shocks over wedges and a benchmark study against
other DSMC code is conducted.
The unsteady PDSC routines are then used to simulate the PP-CVD injection phase. These
simulations reveal the complex flow phenomena present during this stage. The initial
expansion is highly unsteady; however a quasi-steady jet structure forms within the reactor
after this initial stage. The simulations give additional evidence that the collapse of the jet at
the end of the injection phase results in an approximately uniform distribution of precursor
throughout the reactor volume.
Advanced modelling methods and the future work required for development of the PP-CVD
method are then proposed. These methods will allow all configurations of reactor to be
modelled while reducing the computational expense of the simulations.
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Moment method in rarefied gas dynamics: applications to heat transfer in solids and gas-surface interactionsMohammadzadeh, Alireza 17 November 2016 (has links)
It is well established that rarefied flows cannot be properly described by traditional hydrodynamics, namely the Navier-Stokes equations for gas flows, and the Fourier’s law
for heat transfer. Considering the significant advancement in miniaturization of electronic devices, where dimensions become comparable with the mean free path of the flow, the It is well established that rarefied flows cannot be properly
described by traditional hydrodynamics, namely the Navier-Stokes equations for gas flows, and the Fourier's law for heat transfer. Considering the significant
advancement in miniaturization of electronic devices, where dimensions become
comparable with the mean free path of the flow, the study of
rarefied flows is extremely important. This dissertation includes two main parts.
First, we look into the heat transport in solids when the mean free path for phonons are comparable with the length scale of the flow. A set of macroscopic moment equations for heat transport in solids are derived to extend the validity of Fourier's law beyond the
hydrodynamics regime. These equations are derived such that they remain
valid at room temperature, where the MEMS devices usually work. The system of moment equations for heat transport is then employed to model
the thermal grating experiment, recently conducted on a silicon wafer. It turns out that at
room temperature, where the experiment was conducted, phonons with high mean
free path significantly contribute to the heat transport. These low
frequency phonons are not considered in the classical theory, which
leads to failure of the Fourier's law in describing the thermal
grating experiment. In contrast, the system of moment equations successfully
predict the deviation from the classical theory in the experiment, and suggest
the importance of considering both low and high frequency phonons at room
temperature to capture the experimental results.
In the second part of this study, we look into the gas-surface interactions for conventional gas dynamics when the gas flow is rarefied.
An extension to the well-known Maxwell boundary conditions for gas-surface
interactions are obtained by considering velocity dependency in the
reflection kernel from the surface. This extension improves the Maxwell boundary conditions
by providing an extra free parameter that can be fitted to the experimental data
for thermal transpiration effect in non-equilibrium flows. The velocity dependent Maxwell boundary conditions are derived for the Direct Simulation Monte Carlo (DSMC) method and the
regularized 13-moment (R13) equations for conventional gas dynamics. Then, a
thermal cavity is considered to test and study the effect of these boundary
conditions on the flow formation in the slip and early transition regime. It
turns out that using velocity dependent boundary conditions allows us to change the size and
direction of the thermal transpiration force, which leads to marked changes
in the balance of transpiration forces and thermal stresses in the flow. / Graduate
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Measurements of temperature and density profiles of iodine vapor between parallel plates in the transition regime using laser induced fluorescenceGu, Yuxing, January 2000 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 2000. / Typescript. Vita. Includes bibliographical references (leaves 114-120). Also available on the Internet.
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Investigation of low-pressure laser induced fluorescence for measuring temperature profiles in a rarefied gasLeimkuehler, Thomas O. January 2000 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 2000. / Typescript. Vita. Includes bibliographical references (leaves 112-113). Also available on the Internet.
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Measurements of temperature and density profiles of iodine vapor between parallel plates in the transition regime using laser induced fluorescence /Gu, Yuxing, January 2000 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 2000. / Typescript. Vita. Includes bibliographical references (leaves 114-120). Also available on the Internet.
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Investigation of low-pressure laser induced fluorescence for measuring temperature profiles in a rarefied gas /Leimkuehler, Thomas O. January 2000 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 2000. / Typescript. Vita. Includes bibliographical references (leaves 112-113). Also available on the Internet.
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Simulation of gas dynamics, radiation and particulates in volcanic plumes on IoZhang, Ju 28 August 2008 (has links)
Not available / text
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Experimental study of pressure difference phenomena in rarefied gases /Huang, Chao-Ming, January 1996 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 1996. / Typescript. Vita. Includes bibliographical references. Also available on the Internet.
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Experimental study of pressure difference phenomena in rarefied gasesHuang, Chao-Ming, January 1996 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 1996. / Typescript. Vita. Includes bibliographical references. Also available on the Internet.
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Measurement of rarefied flows through short channelsRasmussen, Glen Olney, January 1970 (has links)
Thesis (M.S.)--University of Wisconsin--Madison, 1970. / eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.
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