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<p class="MsoNormal" align="center" style="text-align: center; line-height: 200%; "><b><span style="font-size: 16pt; line-height: 200%; font-family: 'Times New Roman'; ">Multiphase Flows In Vertical Pipelines<o:p></o:p></span></b></p>
<p class="MsoNormal" align="center" style="text-align: center; line-height: 200%; "><b> </b><b><span style="font-family: 'Times New Roman'; "><o:p></o:p></span></b></p>
<p class="MsoNormal" align="center" style="text-align: center; "><b><span style="font-family: 'Times New Roman'; ">Ala Eddine Omrani, Doctor of Philosophy
in Mechanical Engineering Thesis </span></b><span style="font-family: 'Times New Roman'; ">Defense<b> <o:p></o:p></b></span></p>
<p class="m-6208638341040336108msoheader" align="center" style="margin-top: 0in; margin-bottom: 0.0001pt; text-align: center; "><span class="il"><b><span style="font-size:11.0pt;mso-fareast-font-family:"?? ????";mso-fareast-theme-font:
major-fareast">Defense</span></b></span><b><span style="font-size:11.0pt">
Date:</span></b><span style="font-size:11.0pt"> Tuesday, April 25<sup>th</sup>
2017 <b>Time: </b></span><span class="aqj"><span style="font-size:11.0pt;
mso-fareast-font-family:"?? ????";mso-fareast-theme-font:major-fareast">9:00 am</span></span><span style="font-size:11.0pt"> <o:p></o:p></span></p>
<p class="m-6208638341040336108msoheader" align="center" style="margin-top: 0in; margin-bottom: 0.0001pt; text-align: center; "><b><span style="font-size:11.0pt">Location
Room:</span></b><span style="font-size:11.0pt"> </span>Industrial Engineering
conference room<o:p></o:p></p>
<p class="m-6208638341040336108msoheader" align="center" style="margin-top: 0in; margin-bottom: 12pt; text-align: center; "><b><span style="font-size:11.0pt">Committee Members:</span></b><span style="font-size:
11.0pt"> Dr. Franchek (Chair), Dr. Grigoriadis, Dr. Prosperetti, Dr. Song, Dr. Nikolaou</span><o:p></o:p></p>
<p class="MsoNormal" style="text-indent: 0.5in; line-height: 200%; "><span style="font-family: 'Times New Roman'; "> </span></p>
<p class="MsoNormal" style="text-indent: 0.5in; line-height: 200%; "><span style="font-family: 'Times New Roman'; ">The modeling
of fluid dynamics through pipelines requires a fully understanding of the
internal and external factors that influence its transients. The Navier-Stokes
momentum equation represents a complete description of the forces acting on a
fluid. The equation’s non-linear terms enable to take into account the complex
environment that influence the fluid motion. However, for hundreds of years,
scientists have not been able to fully solve the Navier-stokes equation without
the consideration of simplifying assumptions. In addition to the fluid momentum
transient’s resolution, the problem becomes more complicated when introducing
more phases to the fluid dynamics equations. Reduced order analytical and
numerical models have been employed to model multiphase flow behavior and have
been showing good agreement against experimental providing then a robust tool
for the modeling of multiphase flows.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-indent: 0.5in; line-height: 200%; "><span style="line-height: 200%; font-family: 'Times New Roman'; ">Throughout
this dissertation, different techniques of two-phase flow modeling through
vertical pipelines under varying flowrate and pressure boundary conditions are
illustrated. Numerical modeling is elaborated by discretizing the space and
time scale and evaluating the flow physical variables’ dynamics along the pipe.
The employed quasi-steady state momentum equation numerical resolution results
in more than one root, known as the multiple root problem. A mathematical
constraint, applied over the pipe and time discretization steps, is presented
aiming to guarantee the existence of the momentum equation liquid phase holdup
solution while insuring its uniqueness. While numerical models provide
discretized solution over the pipe length, their implementation on complex
systems presents a challenge limiting their applicability. Analytical models
are investigated as an effective solution to this type of constraints. The
reduced order transmission line model for one-phase flows is extended for
inclined and vertical inclinations while taking into account fluid
compressibility. The adaptation of the analytical one-phase flow model to
two-phase flows is done using an equivalent flow procedure. Two industrial
applications concerning the integration of multiphase flow models in complex
systems are presented, namely pumping units’ production and safety optimization
when two-phase flows (gas and oil) are encountered, and gas kick early
prediction during drilling operations.<o:p></o:p></span></p>
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