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Dissertations / Theses on the topic 'Boundary layer theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Clarke, D. S. "Problems in triple-deck boundary layer theory." Thesis, University of Manchester, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.370406.

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2

Hufford, Gary S. (Gary Scott). "Viscous flow around marine propellers using boundary layer strip theory." Thesis, Massachusetts Institute of Technology, 1992. http://hdl.handle.net/1721.1/42543.

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3

Baum, Bryan Alan. "The extension of rapid distortion theory to stratified shear flows." Diss., Georgia Institute of Technology, 1989. http://hdl.handle.net/1853/25971.

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4

Nakamura, Fuminori. "Extended film theory for transpiration boundary layer flow at high mass transfer rates." Thesis, University of Hawaii at Manoa, 2003. http://hdl.handle.net/10125/6984.

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5

Hanson, Christopher J. (Christopher John) 1971. "Integrated lifting-surface and Euler/boundary-layer theory analysis method for marine propulsors." Thesis, Massachusetts Institute of Technology, 2001. http://hdl.handle.net/1721.1/91328.

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Thesis (Nav.E.)--Massachusetts Institute of Technology, Dept. of Ocean Engineering; and, (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2001.<br>Includes bibliographical references (leaves 62-63).<br>by Christopher J. Hanson.<br>Nav.E.<br>S.M.

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6

Fabbiane, Nicolò. "Adaptive and model-based control in laminar boundary-layer flows." Licentiate thesis, KTH, Mekanik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-154052.

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In boundary-layer flows it is possible to reduce the friction drag by breaking the path from laminar to turbulent state. In low turbulence environments, the laminar-to-turbulent transition is dominated by local flow instabilities – Tollmien-Schlichting (TS) waves – that exponentially grows while being con- vected by the flow and, eventually, lead to transition. Hence, by attenuating these disturbances via localised forcing in the flow it is possible to delay farther downstream the onset of turbulence and reduce the friction drag. Reactive control techniques are widely investigated to this end.

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7

Craft, Kathleen L. "Boundary layer models of hydrothermal circulation on Earth and Mars." Thesis, Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/26574.

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Continental and submarine hydrothermal systems are commonly found around the world. Similar systems that sustain water or other fluids are also likely to exist in planetary bodies throughout the solar system. Also, terrestrial submarine systems have been suggested as the locations of the first life on Earth and may, therefore, provide indications of where to find life on other planetary bodies. The study of these systems is vital to the understanding of planetary heat transfer, chemical cycling, and biological processes; hence hydrothermal processes play a fundamental role in planetary evol

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8

Breedt, Hendrik Johannes. "Atmospheric boundary layer stability and its application to computational fluid dynamics." Diss., University of Pretoria, 2005. http://hdl.handle.net/2263/66234.

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In the wind resource and wind turbine suitability industry Computational Fluid Dynamics has gained widespread use to model the airflow at proposed wind farm locations. These models typically focus on the neutrally stratified surface layer and ignore physical process such as buoyancy and the Coriolis force. These physical processes are integral to the accurate description of the atmospheric boundary layer and reductions in uncertainties of turbine suitability and power production calculations can be achieved if these processes are included. The present work focuses on atmospheric flows in which

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9

Vasudevan, K. P. "Transition Zone In Constant Pressure Boundary Layer With Converging Streamlines." Thesis, Indian Institute of Science, 2000. https://etd.iisc.ac.in/handle/2005/272.

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The laminar-turbulent transition in viscous fluid flows is one of the most intriguing problems in fluid dynamics today. In view of the enormous applications it has in a variety of fields such as aircraft design, turbomachinery, etc., scientists have now realized the importance of tackling this problem effectively. Three-dimensional flows are usually associated with pressure gradient, streamline curvature, streamline convergence / divergence etc., all acting simultaneously. Towards a better understanding of the transition process and modeling the transition zone, it is important to study the ef

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10

Vasudevan, K. P. "Transition Zone In Constant Pressure Boundary Layer With Converging Streamlines." Thesis, Indian Institute of Science, 2000. http://hdl.handle.net/2005/272.

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The laminar-turbulent transition in viscous fluid flows is one of the most intriguing problems in fluid dynamics today. In view of the enormous applications it has in a variety of fields such as aircraft design, turbomachinery, etc., scientists have now realized the importance of tackling this problem effectively. Three-dimensional flows are usually associated with pressure gradient, streamline curvature, streamline convergence / divergence etc., all acting simultaneously. Towards a better understanding of the transition process and modeling the transition zone, it is important to study the ef

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11

Atalayer, Senem Hayriye. "Analysis Of Stability And Transition In Flat Plate Compressible Boundary Layers Using Linear Stability Theory." Master's thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/2/12605366/index.pdf.

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In this study, numerical investigations of stability and transition problems were performed for 2D compressible boundary layers over a flat plate in adiabatic wall condition. Emphasis was placed on linear stability theory. The mathematical formulation for 3D boundary layers with oblique waves including detailed theoretical information was followed by use of the numerical techniques for the solution of resulting differential system of the instability problem, consequently an eigenvalue problem. First, two-dimensional sinusoidal disturbances were analyzed at various Mach numbers including the

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12

Marrekchi, Hamadi. "Dynamic compensators for a nonlinear conservation law." Diss., This resource online, 1993. http://scholar.lib.vt.edu/theses/available/etd-05042006-164530/.

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13

Dasi, Lakshmi P. "The small-scale structure of passive scalar mixing in turbulent boundary layers." Diss., Available online, Georgia Institute of Technology, 2004, 2004. http://etd.gatech.edu/theses/available/etd-08132004-065041/.

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Thesis (Ph. D.)--Civil and Environmental Engineering, Georgia Institute of Technology, 2006.<br>Cvitanovic, Predrag, Committee Member ; Roberts, Phillip, Committee Member ; Sturm, Terry, Committee Member ; Webster, Donald, Committee Chair ; Yeung, Pui-Kuen, Committee Member.

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14

Pieterse, Jacobus Erasmus. "CFD investigation of the atmospheric boundary layer under different thermal stability conditions." Thesis, Stellenbosch : Stellenbosch University, 2013. http://hdl.handle.net/10019.1/80024.

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Thesis (MScEng)--Stellenbosch University, 2013.<br>ENGLISH ABSTRACT: An accurate description of the atmospheric boundary layer (ABL) is a prerequisite for computational fluid dynamic (CFD) wind studies. This includes taking into account the thermal stability of the atmosphere, which can be stable, neutral or unstable, depending on the nature of the surface fluxes of momentum and heat. The diurnal variation between stable and unstable conditions in the Namib Desert interdune was measured and quantified using the wind velocity and temperature profiles that describe the thermally stratified

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15

Aljohani, Abdulrahman. "Applications of triple deck theory to study the flow over localised heating elements in boundary layers." Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/applications-of-triple-deck-theory-to-study-the-flow-over-localised-heating-elements-in-boundary-layers(a3174ce1-f4db-47d8-b0a7-a712461a8211).html.

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In this thesis, we investigate flow past an array of micro-electro-mechanical-type (MEMS-type) heating elements placed on a flat surface, where MEMS devices have hump-shaped surfaces, using the triple deck theory. In this work we start by investigating the problem with a single heating element. MEMS devices can be used to control the fluid dynamics over the surface. Hence, we present a review of the boundary layer and the triple deck theories, followed by a literature review of the problem of flow past an array of MEMS devices. Next, we formulate our problem with the aid of the method of match

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16

Kelson, Neil. "Study of industrially relevant boundary layer and axisymmetric flows, including swirl and turbulence." Thesis, Queensland University of Technology, 2000. https://eprints.qut.edu.au/37083/1/37083_Digitised%20Thesis.pdf.

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Micropolar and RNG-based modelling of industrially relevant boundary layer and recirculating swirling flows is described. Both models contain a number of adjustable parameters and auxiliary conditions that must be either modelled or experimentally determined, and the effects of varying these on the resulting flow solutions is quantified. To these ends, the behaviour of the micropolar model for self-similar flow over a surface that is both stretching and transpiring is explored in depth. The simplified governing equations permit both analytic and numerical approaches to be adopted, and a numbe

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17

Padilla, Montero Ivan. "Analysis of the stability of a flat-plate high-speed boundary layer with discrete roughness." Doctoral thesis, Universite Libre de Bruxelles, 2021. https://dipot.ulb.ac.be/dspace/bitstream/2013/324490/5/contratPM.pdf.

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Boundary-layer transition from a laminar to a turbulent regime is a critical driver in the design of high-speed vehicles. The aerothermodynamic loads associated with transitional or fully turbulent hypersonic boundary layers are several times higher than those associated with laminar flow. The presence of isolated roughness elements on the surface of a body can accelerate the growth of incoming disturbances and introduce additional instability mechanisms in the flow field, eventually leading to a premature occurrence of transition. This dissertation studies the instabilities induced by three-d

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18

Katz, Jeremy. "Evaluation of Surface Layer Parameterizations Using In-Situ Observations." FIU Digital Commons, 2016. http://digitalcommons.fiu.edu/etd/2604.

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Appropriate calculation of surface turbulent fluxes between the atmosphere and the underlying surface is one of the major challenges in geosciences. In practice, the surface turbulent fluxes are estimated from the mean surface meteorological variables based on the bulk transfer model combined with Monnin-Obukhov Similarity (MOS) theory. Few studies have been done to examine the extent that to which this flux parameterization framework can be applied to different weather and surface conditions. A novel validation method is developed in this thesis research, which is applied to evaluate the surf

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19

Schiavon, Mario. "The wind profile in the atmospheric stable boundary layer over complex terrain and heterogeneous surfaces: limitations of local similarity theory." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2015. http://amslaurea.unibo.it/9582/.

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L'indagine ha riguardato il profilo del vento nei primi 30 metri dello strato limite atmosferico stabile nell'ambito della teoria di similarità locale. Ad oggi, diversi esperimenti hanno confermato la validità della teoria per strati-limite su terreni livellati e superfici omogenee. Tali condizioni ideali sono però infrequenti nella realtà ed è perciò importante capire quali siano i limiti della similarità locale per strati-limite su terreni complessi e superfici disomogenee. Entrambe le condizioni sono presenti a Ny-Alesund (Svalbard, Norvegia) dove il Consiglio Nazionale delle Ricerche (CNR

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20

Vahlberg, Caroline. "Non-dimensional gradient functions for water vapor and carbon dioxide in the marine boundary layer." Thesis, Uppsala universitet, Luft-, vatten och landskapslära, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-251400.

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A better understanding of the exchange processes taking place over the oceans is of great importance since the oceans cover about 70 % of the Earth’s surface. With better knowledge the turbulent fluxes can be more accurate parameterized, which is essential in order to improve the weather- and climate models. In this study, the non-dimensional gradient functions for water vapor (Φq) and carbon dioxide (Φc) in the marine boundary layer have principally been studied. The quality of the instrumentation used in the study has also been evaluated. The study is mainly based on tower measurements of tu

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21

Sousounis, Peter John. "Investigation of a two-dimensional theory to predict ascending motion at the top of the planetary boundary layer in the tropics." Thesis, Massachusetts Institute of Technology, 1986. http://hdl.handle.net/1721.1/58131.

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Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Earth, Atmospheric, and Planetary Sciences, 1987.<br>Microfiche copy available in Archives and Science.<br>Bibliography: leaves 101-102.<br>by Peter John Sousounis.<br>M.S.

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22

Metri, Prashant G. "Mathematical Analysis of Forced Convective Flow Due to Stretching Sheet and Instabilities of Natural Convective Flow." Doctoral thesis, Mälardalens högskola, Utbildningsvetenskap och Matematik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-35222.

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The investigations presented in the thesis are theoretical studies of magnetohydrodynamic flows, heat and mass transfer in Newtonian/non-Newtonian cooling liquids, due to horizontal/vertical stretching sheet. The theoretical studies include the effect of magnetic field, uniform and non-uniform heat source/sink (flow and temperature dependent heat source/sink) effects. The considered problems include flow of viscous fluids in the presence of applied magnetic field and electric field with first order chemical reactions. The viscous incompressible Newtonian fluid flow in porous medium with Darcy-

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23

Polat, Ozge. "Genetic Algorithm Based Aerodynamic Shape Optimization Of Wind Turbine Rotor Blades Using A 2 D Panel Method With A Boundary Layer Solver." Master's thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613970/index.pdf.

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This thesis presents an aerodynamic shape optimization methodology for rotor blades of horizontal axis wind turbines. Genetic Algorithm and Blade Element Momentum Theory are implemented in order to find maximum power production at a specific wind speed, rotor speed and rotor diameter. The potential flow solver, XFOIL, provides viscous aerodynamic data of the airfoils. Optimization variables are selected as the sectional chord length, the sectional twist and the blade profiles at root, mid and tip regions of the blade. The blade sections are defined by the NACA four digit airfoil series or arbi

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24

Ožana, Marek. "Mesoscopic superconductivity : quasiclassical approach." Doctoral thesis, Umeå universitet, Institutionen för fysik, 2001. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-91484.

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This Thesis is concerned with the quasiclassical theory of meso-scopic superconductivity. The aim of the Thesis is to introduce the boundary conditions for a quasiclassical Green’s function on partially transparent interfaces in mesoscopic superconducting structures and to analyze the range of applicability of the quasiclassical theory. The linear boundary conditions for Andreev amplitudes, factoring the quasiclassical Green’s function, are presented. The quasiclassical theory on classical trajectories is reviewed and then generalized to include knots with paths intersections. The main focus

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25

SACCO, FRANCESCO. "Mathematical models and analysis of turbulent, wall-bounded, complex flows." Doctoral thesis, Gran Sasso Science Institute, 2020. http://hdl.handle.net/20.500.12571/15321.

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In the classical wall bounded turbulent flow a fundamental statement is the existence of a layer, called overlap layer, in which every flow behaves the same and the mean streamwise velocity of each system can be described with only the wall normal coordinate with a logarithmic profile, characterized by the von Kármán constant. This law has been at first derived on data on parallel flows and boundary layer, that are model flows for wall turbulence, but indeed have a much simpler flow than complex shape geometries. The formulation of Millikan has much more general requirement on the flow and it

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26

Ebenhoch, Raphael. "Simplified modeling of wind-farm flows." Thesis, KTH, Strömningsfysik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-177309.

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Abstact: In order to address the wind-industry's need for a new generation of more advanced wake models, which accurately quantify the mean flow characteristics within a reasonably CPU-time, the two-dimensional analytical approach by Belcher et al. (2003) has been extended to a three-dimensional wake model. Hereby, the boundary-layer approximation of the Navier-Stokes equations has been linearized around an undisturbed baseflow, assuming that the wind turbines provoke a small perturbation of the velocity field. The conducted linearization of the well established actuator-disc theory brought va

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27

Mottram, N. J. "Boundary effects in nematic liquid crystal layers." Thesis, University of Bristol, 1996. http://hdl.handle.net/1983/3f718f68-e280-4994-afa2-29a7845c73f7.

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28

Axelsson, Andreas, and kax74@yahoo se. "Transmission problems for Dirac's and Maxwell's equations with Lipschitz interfaces." The Australian National University. School of Mathematical Sciences, 2002. http://thesis.anu.edu.au./public/adt-ANU20050106.093019.

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The aim of this thesis is to give a mathematical framework for scattering of electromagnetic waves by rough surfaces. We prove that the Maxwell transmission problem with a weakly Lipschitz interface,in finite energy norms, is well posed in Fredholm sense for real frequencies. Furthermore, we give precise conditions on the material constants ε, μ and σ and the frequency ω when this transmission problem is well posed. To solve the Maxwell transmission problem, we embed Maxwells equations in an elliptic Dirac equation. We develop a new boundary integral method to solve the Dirac transmission pro

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29

Aldridge, John Nigel. "A continuum mixture theory approach to sediment transport with application to turbulent oscillatory boundary layers." Thesis, University of Plymouth, 1990. http://hdl.handle.net/10026.1/1897.

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Two aspects of the modelling of suspended sediment transport are investigated. One is the development of a theoretical base for sediment transport models starting from the continuum theory of immiscible mixtures (also know as two-phase flow theories). The other is a comparison with experimental data of numerical predictions from a number of turbulence models for oscillatory, turbulent boundary layer flow containing suspended sediment. A review is given of previous work that has applied continuum mixture theories to the field of sediment transport. Turbulent averaged forms of the mixture equati

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30

Kasnakoglu, Cosku. "Reduced order modeling, nonlinear analysis and control methods for flow control problems." Columbus, Ohio : Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1195629380.

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31

Garrione, Maurizio. "Existence and multiplicity of solutions to boundary value problems associated with nonlinear first order planar systems." Doctoral thesis, SISSA, 2012. http://hdl.handle.net/20.500.11767/4930.

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The monograph is devoted to the study of nonlinear first order systems in the plane where the principal term is the gradient of a positive and positively 2-homogeneous Hamiltonian (or the convex combination of two of such gradients). After some preliminaries about positively 2-homogeneous autonomous systems, some results of existence and multiplicity of T-periodic solutions are presented in case of bounded or sublinear nonlinear perturbations. Our attention is mainly focused on the occurrence of resonance phenomena, and the corresponding results rely essentially on conditions of Landesman-Laz

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32

Cebrecos, Ruiz Alejandro. "Transmission, reflection and absorption in Sonic and Phononic Crystals." Doctoral thesis, Universitat Politècnica de València, 2015. http://hdl.handle.net/10251/56463.

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[EN] Phononic crystals are artificial materials formed by a periodic arrangement of inclusions embedded into a host medium, where each of them can be solid or fluid. By controlling the geometry and the impedance contrast of its constituent materials, one can control the dispersive properties of waves, giving rise to a huge variety of interesting and fundamental phenomena in the context of wave propagation. When a propagating wave encounters a medium with different physical properties it can be transmitted and reflected in lossless media, but also absorbed if dissipation is taken into account.

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33

Zhikharev, Constantin N. "Interaction theory for hypersonic separation and supersonic flow past a flexible wall /." Diss., 1999. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:9935191.

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34

Xiao, Jingbing. "A model of the transport and sublimation of blowing snow in the atmospheric boundary layer." 2001. http://wwwlib.umi.com/cr/yorku/fullcit?pNQ67894.

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Thesis (Ph. D.) York University, 2001. Graduate Programme in Earth and Space Science.<br>Typescript. Includes bibliographical references (leaves 222-227). Also available on the Internet. MODE OF ACCESS via web browser by entering the following URL: http://wwwlib.umi.com/cr/yorku/fullcit?pNQ67894.

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35

RAIESI, Hassan. "Theory and simulation of separated boundary layers and turbulence induced secondary motion." Thesis, 2010. http://hdl.handle.net/1974/6209.

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Among the different types of flows encountered in practical applications, the physics of turbulent separated flows and turbulence induced secondary motion are not fully understood despite the large amount of previous experimental and numerical work. The objectives of this work are to study theoretically and computationally the conditions at the separation and reattachment point, the numerical simulation of turbulence induced secondary motion in non-circular ducts, and to provide a comprehensive test of different RANS models of these types of flow. In a theoretical study of flow separation, a L

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36

Stephani, Kelly Ann. "Development of a hybrid DSMC/CFD method for hypersonic boundary layer flow over discrete surface roughness." Thesis, 2012. http://hdl.handle.net/2152/ETD-UT-2012-05-5155.

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This work is focused on the development of a hybrid DSMC/CFD solver to examine hypersonic boundary layer flow over discrete surface roughness. The purpose of these investigations is to identify and quantify the non-equilibrium effects that influence the roughness-induced disturbance field and surface quantities of interest for engineering applications. To this end, a new hybrid framework is developed for high-fidelity hybrid solutions involving five-species air hypersonic boundary layer flow applications. A novel approach is developed for DSMC particle generation at a hybrid interface for g

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37

Lakshman, Srinath. "Experimental Investigations of Leading Edge Bluntness in Shock Boundary Layer Interactions at Hypersonic Speeds." Thesis, 2015. http://etd.iisc.ac.in/handle/2005/3865.

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Shock Boundary Layer Interactions (SBLIs) and shock-shock interactions are some of the most fundamental problems in high speed aerodynamics. These interactions are of particular importance in scramjet intakes at hypersonic speeds. In hypersonic own with strong SBLI accompanied by own separation, large separation bubbles can form due to high impinging shock strengths. While experiments involving large separation lengths for the impinging shock boundary layer interactions near sharp leading edge are well documented in the literature, only few investigations on the effect of leading edge bluntnes

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Lakshman, Srinath. "Experimental Investigations of Leading Edge Bluntness in Shock Boundary Layer Interactions at Hypersonic Speeds." Thesis, 2015. http://etd.iisc.ernet.in/2005/3865.

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Shock Boundary Layer Interactions (SBLIs) and shock-shock interactions are some of the most fundamental problems in high speed aerodynamics. These interactions are of particular importance in scramjet intakes at hypersonic speeds. In hypersonic own with strong SBLI accompanied by own separation, large separation bubbles can form due to high impinging shock strengths. While experiments involving large separation lengths for the impinging shock boundary layer interactions near sharp leading edge are well documented in the literature, only few investigations on the effect of leading edge bluntnes

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39

"Viscous conservation laws with boundary layers." 2005. http://library.cuhk.edu.hk/record=b5892411.

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Wang Jing.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 2005.<br>Includes bibliographical references (leaves 55-59).<br>Abstracts in English and Chinese.<br>Acknowledgments --- p.i<br>Abstract --- p.ii<br>Introduction --- p.3<br>Chapter 1 --- Formulation of the Problem --- p.10<br>Chapter 1.1 --- Reformulated Navier-Stokes Equations --- p.10<br>Chapter 1.2 --- Linearized Problems --- p.15<br>Chapter 2 --- Construction of the Approximate Solution --- p.19<br>Chapter 2.1 --- Two-scale Asymptotic Expansions --- p.19<br>Chapter 2.2 --- Determination of Each Inner and Boundary Term

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40

Axelsson, Andreas. "Transmission problems for Dirac's and Maxwell's equations with Lipschitz interfaces." Phd thesis, 2002. http://hdl.handle.net/1885/46056.

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The aim of this thesis is to give a mathematical framework for scattering of electromagnetic waves by rough surfaces. We prove that the Maxwell transmission problem with a weakly Lipschitz interface, in finite energy norms, is well posed in Fredholm sense for real frequencies. Furthermore, we give precise conditions on the material constants ε, μ and σ and the frequency ω when this transmission problem is well posed. To solve the Maxwell transmission problem, we embed Maxwell’s equations in an elliptic Dirac equation. We develop a new boundary integral method to solve the Dirac transmission pr

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41

"ANALYSIS OF STABILITY AND TRANSITION IN FLAT PLATE COMPRESSIBLE BOUNDARY LAYERS USING LINEAR STABILITY THEORY." Master's thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/2/12605366/index.pdf.

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42

Beckmann, Alexander Felix. "Modeling evaporation in the rarefied gas regime by using macroscopic transport equations." Thesis, 2018. https://dspace.library.uvic.ca//handle/1828/9238.

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Due to failure of the continuum hypothesis for higher Knudsen numbers, rarefied gases and microflows of gases are particularly difficult to model. Macroscopic transport equations compete with particle methods, such as the direct simulation Monte Carlo method (DSMC) to find accurate solutions in the rarefied gas regime. Due to growing interest in micro flow applications, such as micro fuel cells, it is important to model and understand evaporation in this flow regime. To gain a better understanding of evaporation physics, a non-steady simulation for slow evaporation in a microscopic system, bas

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43

Taheri, Bonab Peyman. "Macroscopic description of rarefied gas flows in the transition regime." Thesis, 2010. http://hdl.handle.net/1828/3018.

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The fast-paced growth in microelectromechanical systems (MEMS), microfluidic fabrication, porous media applications, biomedical assemblies, space propulsion, and vacuum technology demands accurate and practical transport equations for rarefied gas flows. It is well-known that in rarefied situations, due to strong deviations from the continuum regime, traditional fluid models such as Navier-Stokes-Fourier (NSF) fail. The shortcoming of continuum models is rooted in nonequilibrium behavior of gas particles in miniaturized and/or low-pressure devices, where the Knudsen number (Kn) is sufficiently

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