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Dissertations / Theses on the topic 'Single and two-phase flow'

Author: Grafiati

Published: 3 June 2025

Last updated: 1 August 2025

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1

Özdemir, Mehmed Rafet. "Single-phase flow and flow boiling of water in rectangular metallic microchannels." Thesis, Brunel University, 2016. http://bura.brunel.ac.uk/handle/2438/13254.

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This experimental research aims at investigating the single-phase flow heat transfer and friction factor, flow boiling heat transfer and pressure drop, and flow visualisation in microchannels using de-ionized water. In the literature, many studies failed to explain the effect of aspect ratio on the single-phase and two-phase flow heat transfer rate and pressure drop. Because the channel aspect ratios and hydraulic diameters were varied together in those studies. Also, there is a discrepancy between past studies and the conventional theory for the flow boiling heat transfer characteristics. Acc

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2

Lei, Ning. "The Thermal Characteristics Of Multilayer Minichannel Heat Sinks In Single-Phase And Two-Phase Flow." Diss., The University of Arizona, 2006. http://hdl.handle.net/10150/193795.

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Liquid cooled small channel heat sinks have become a promising heat dissipation method for future high power electrical devices. Traditional mini and microchannel heat sinks consist of a single layer of low-aspect ratio rectangular channels. The alternative new heat sinks are fabricated by stacking many channels together to create multiple layer channels. These multilayer heat sinks can achieve high heat flux due to high heat transfer coefficients from small channels and large surface area from multilayer structure. In this research, multilayer copper and silicon carbide (SIC) minichannel heat

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3

Saadawi, Abdunaser Ali. "Two phase flow metering and pressure loss through orifices and valves in a large diameter horizontal pipeline." Thesis, University of Strathclyde, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.248519.

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4

Konzuk, Julie Suzanne. "Numerical simulation of single- and two-phase flow in a rough-walled fracture." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/NQ59529.pdf.

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5

Starnoni, Michele. "Modelling single and two-phase flow on micro-CT images of rock samples." Thesis, University of Aberdeen, 2017. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=232293.

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In this Thesis, numerical simulations of single and two-phase pore-scale flow on three dimensional images obtained from micro-CT scanning of different reservoir rocks are presented. For single-phase flow, the petrophysical properties of rocks, namely Representative Elementary Volume (REV), mean pore and grain size, and absolute permeability, are calculated using an integrated approach comprising image processing, statistical correlation and numerical simulations. Two rock formations, one carbonate and one sandstone, are used throughout this Thesis. It is shown that REV and mean pore and grain

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6

Izadpanah, Mohammad Reza. "Heat transfer and pressure drop during single and two-phase flow through unconsolidated porous media." Thesis, University of Surrey, 1999. http://epubs.surrey.ac.uk/2238/.

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7

Nouri, Jamshid Malekmohammadi. "Single and two-phase flows in ducts and stirred reactors." Thesis, Imperial College London, 1988. http://hdl.handle.net/10044/1/47207.

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8

Rattner, Alexander S. "Single-pressure absorption refrigeration systems for low-source-temperature applications." Diss., Georgia Institute of Technology, 2015. http://hdl.handle.net/1853/53912.

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The diffusion absorption refrigeration (DAR) cycle is a promising technology for fully thermally driven cooling. It is well suited to applications in medicine refrigeration and air-conditioning in off-grid settings. However, design and engineering knowhow for the technology is limited; therefore, system development has historically been an iterative and expensive process. Additionally, conventional system designs require high-grade energy input for operation, and are unsuitable for low-temperature solar- or waste-heat activated applications. In the present effort, component- and system-level

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9

Chalfi, Toufik Yacine. "Pressure loss associated with flow area change in micro-channels." Thesis, Atlanta, Ga. : Georgia Institute of Technology, 2007. http://hdl.handle.net/1853/24725.

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10

Abbaspour, Mohammad. "Simulation and optimization of non-isothermal, one-dimensional single/two-phase flow in natural gas pipeline /." Search for this dissertation online, 2005. http://wwwlib.umi.com/cr/ksu/main.

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11

Kourakos, Vasilios. "Experimental study and modeling of single- and two-phase flow in singular geometries and safety relief valves." Doctoral thesis, Universite Libre de Bruxelles, 2011. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209827.

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This research project was carried out at the von Karman Institute for Fluid Dynamics (VKI), in Belgium, in collaboration and with the funding of Centre Technique des Industries Mécaniques (CETIM) in France.<p>The flow of a mixture of two fluids in pipes can be frequently encountered in nuclear, chemical or mechanical engineering, where gas-liquid eactors, boilers, condensers, evaporators and combustion systems can be used. The presence of section changes or more generally geometrical singularities in pipes may affect significantly the behavior of twophase flow and subsequently the resulting pr

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12

Weishaupt, Kilian [Verfasser], and Rainer [Akademischer Betreuer] Helmig. "Model concepts for coupling free flow with porous medium flow at the pore-network scale : from single-phase flow to compositional non-isothermal two-phase flow / Kilian Weishaupt ; Betreuer: Rainer Helmig." Stuttgart : Universitätsbibliothek der Universität Stuttgart, 2020. http://d-nb.info/1215101848/34.

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13

Botne, Kjetil Kandal. "Modeling wax thickness in single-phase turbulent flow." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for petroleumsteknologi og anvendt geofysikk, 2012. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-19307.

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Oil and gas transport is today a vital part of the industry. Oil cooled during transport in pipelines may precipitate paraffin wax. Precipitated wax may deposit on pipe walls and cause flow restrictions. Deposition models are used to understand and predict deposition of solids. A deposition model can help predict wax problems before a pipe line is set into operation. If the amount of deposited wax is predicted it can help operators to develop removal plans and strategies. A total of 21 wax deposition experiments performed by others were digitized and evaluated. The logarithmic deposition-relea

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14

Chaturvedi, Praveen. "Single phase multicomponent flow simulation in porous media." Ann Arbor, Mich. : ProQuest, 2008. 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:3307176.

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Thesis (Ph.D. in Applied Mathematics)--S.M.U.<br>Title from PDF title page (viewed Mar. 16, 2009). Source: Dissertation Abstracts International, Volume: 69-04, Section: B, page: 2354. Adviser: Zhangxin Chen. Includes bibliographical references.

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15

Hurley, Patrick. "Finite element methods for linearly perturbed single- and two-phase flows." Thesis, University of Manchester, 2014. https://www.research.manchester.ac.uk/portal/en/theses/finite-element-methods-for-linearly-perturbed-single-and-twophase-flows(33cc0a4b-fdce-40bc-b24e-40079a236409).html.

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This thesis is concerned with the development of a general numerical framework that allows the computation of the evolution of non-axisymmetric perturbations to arbitrary axisymmetric base flows. Both single- and two-phase flows are considered. This framework is developed within oomph-lib, a finite element library for the simulation of multi-physics problems. Following the introduction of the core concepts of the finite element method via the example of a two-phase viscous flow problem in a Cartesian coordinate system, we begin our discussion of the Navier--Stokes equations in cylindrical pola

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16

Park, Sang Hyan. "The effects between two slotted plate flow meter under single, two, three components flow condition." Texas A&M University, 2004. http://hdl.handle.net/1969.1/1522.

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In previous work on the slotted flow meter, repeatibility and reproducibility were studied under different flow conditions and different configurations. In accordance with previous work, the effects of the distance between the slotted plate were identified as an area requring further investigation. The preset 5D distance is expanded to the 10D distance. The flow coefficient KY, the pressure drop, and the uncertainty analysis is conducted. There were definite deference in the results between the 5D distance and the 10D distance in many aspects. As a base line, the flow coefficient KY showed 0.8

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17

Mirmanto. "Single-phase flow and flow boiling of water in horizontal rectangular microchannels." Thesis, Brunel University, 2013. http://bura.brunel.ac.uk/handle/2438/7682.

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The current study is part of a long term experimental project devoted to investigating single-phase flow pressure drop and heat transfer, flow boiling pressure drop and heat transfer, flow boiling instability and flow visualization of de-ionized water flow in microchannels. The experimental facility was first designed and constructed by S. Gedupudi (2009) and in the present study; the experimental facility was upgraded by changing the piping and pre-heaters so as to accommodate the objectives of the research. These objectives include (i) modifying the test rig, to be used for conducting experi

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18

McPhail, Stephen John. "Single-phase fluid flow and heat transfer in microtubes." [S.l. : s.n.], 2008. http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-36182.

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19

Afshar, Mahmoud. "Numerical predictions of fully developed, turbulent, single-phase and bubbly two-phase flows in straight ducts." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/nq44338.pdf.

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20

Ortiz-Arroyo, Arturo. "Contribution to the modeling of packed bed reactors under plugging conditions in single and two phase trickle flow." Doctoral thesis, Québec : Université Laval, 2004. http://www.theses.ulaval.ca/2004/21789/21789.pdf.

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21

Roberts, Peter John. "Numerical modelling of single and two phase fluid flow and energy transport in rigid and deforming porous media." Thesis, Swansea University, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.644360.

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22

Zhu, Jianxi. "Mathematical Modeling of Single Phase Flow and Particulate Flow Subjected to Microwave Heating." NCSU, 2006. http://www.lib.ncsu.edu/theses/available/etd-12102006-235146/.

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The purpose of this research is to numerically investigate heat transfer in liquids and liquids with carried solid particles as they flow continuously in a duct that is subjected to microwave irradiation. During this process, liquid flows in an applicator tube. When flow passes through the microwave cavity, the liquid absorbs microwave power and its temperature quickly increases. The spatial variation of the electromagnetic energy and temperature fields in the liquid was obtained by solving coupled momentum, energy and Maxwell?s equations. A finite difference time domain method (FDTD) is used

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23

Cheng, Liping. "Mathematical Modeling of Laminar and Turbulent Single-phase and Two-phase Flows in Straight and Helical Ducts." NCSU, 2004. http://www.lib.ncsu.edu/theses/available/etd-10312004-071502/.

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The purpose of this research is to investigate numerically the dynamics and heat transfer of laminar or turbulent flows in different media and complicated geometries, including the flow in a composite domain whose central portion is occupied by a clear fluid (turbulent flow) and whose peripheral portion is occupied by a fluid saturated porous medium (laminar flow); a laminar flow of a non-Newtonian fluid in a helical pipe; a laminar flow in a helical pipe filled with a fluid saturated porous medium; a two-phase laminar flow (non-Newtonian carrying fluid and solid particles) in a helical pipe.

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24

Mitra, Biswajit. "Supercritical gas cooling and condensation of refrigerant R410A at near-critical pressures." Diss., Available online, Georgia Institute of Technology, 2005, 2005. http://etd.gatech.edu/theses/available/etd-06142005-232427/.

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Thesis (Ph. D.)--Mechanical Engineering, Georgia Institute of Technology, 2006.<br>Garimella, Srinivas, Committee Chair ; Ghiaasiaan, S. Mostafa, Committee Member ; Graham, Samuel, Committee Member ; Breedveld, Victor, Committee Member ; Fuller,Tom, Committee Member.

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25

Bolour-Froushan, Abol Hassan. "Prediction of single-phase turbulent flow in agitated mixing vessels." Thesis, Imperial College London, 1986. http://hdl.handle.net/10044/1/37946.

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26

Nowamooz, Ali. "Etude expérimentale et modélisation des écoulements diphasiques et de la dispersion dans des fractures rugueuses réelles." Thesis, Vandoeuvre-les-Nancy, INPL, 2010. http://www.theses.fr/2010INPL007N/document.

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Les écoulements diphasiques en fracture se produisent dans de nombreuses applications industrielles et environnementales. Pour modéliser ces écoulements, il est important de connaître le rôle des caractéristiques géométriques des surfaces constituant les fractures.L’objectif de ce travail de thèse est d’étudier expérimentalement les écoulements diphasiques et la dispersion de traceurs dans des fractures réelles dont on connaît la cartographie des surfaces et d’en proposer une modélisation adéquate.L’écoulement diphasique inertiel a été modélisé à l’aide de la généralisation de la loi de Darcy

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27

Moshman, Nathan D. "Optimal control of shock wave attenuation in single - and two-phase flow with application to ignition overpressure in launch vehicles." Monterey, California. Naval Postgraduate School, 2011. http://hdl.handle.net/10945/10658.

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Approved for public release, distribution unlimited<br>NASA and private launch providers have a need to understand and control ignition overpressure blast waves that are generated by a solid grain rocket during ignition. Research in accurate computational fluid dynamics prediction of the launch environment is underway. A clearer picture is emerging from empirical data which more precisely categorizes all the dissipative mechanisms present in droplet-shock interactions. In this dissertation, water droplets and their effects due to vaporization are represented as a control action and two new opt

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28

Samardzioska, T. "Boundary element dual reciprocity method with multi domains for modelling fractured porous media : single and two-phase flow and transport." Thesis, Cardiff Metropolitan University, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.521506.

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29

Moncalvo, Davide [Verfasser]. "The influence of fluid properties on single and two-phase two-component flows in safety valves / Davide Moncalvo." Aachen : Shaker, 2010. http://d-nb.info/109804035X/34.

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30

Mohany, Atef M. Ziada Samir. "Flow-sound interaction mechanisms of a single and two tandem cylinders in cross-flow." *McMaster only, 2006.

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31

Barbosa, Jader Riso. "Phase change of single component fluids and mixtures in annular flow." Thesis, Imperial College London, 2001. http://hdl.handle.net/10044/1/11558.

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This thesis is dedicated to the study of flow boiling of single component fluids and multicomponent mixtures in vertical pipes at high qualities. Both theoretical and experimental investigations were carried out with the objective of improving fundamental knowledge of hydrodynamics and phase change heat transfer in annular flow. The diabatic experiments had the objective of studying the nature of nucleate boiling in upward steam-water annular flow. A specially constructed, electrically heated, annulus visualisation test section (deq = 12.9 mm) was used to observe directly the interaction betwe

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32

Sisavath, Sourith. "Fundamental pore-scale modelling of single-phase flow through sedimentary rocks." Thesis, Imperial College London, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.394470.

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33

Sederman, Andrew John. "MRI studies of single and multi-phase flow in porous media." Thesis, University of Cambridge, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.624232.

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34

Blanch, Ojea Roland. "Numerical and experimental analyses of single and two-phase microfluidic flows with implications in microreactors." Doctoral thesis, Universitat Rovira i Virgili, 2011. http://hdl.handle.net/10803/63824.

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Aquesta tesi centra els seus esforços en l'àmbit de la microfluídica, un camp relativament recent dins de la Mecànica de Fluids, amb un futur prometedor i amb un ritme d'investigació intens en les seves diferents especialitzacions. En aquest sentit, la tesi presenta dos aportacions científiques principals. Primer, aporta una eina numèrica d'elaboració pròpia per realitzar simulacions de fluxos reactius en microcanals. Eina que s'aplica satisfactòriament a la identificació dels principals processos de transport involucrats en la oxidació parcial del metà per a produir gas de síntesi, i a l'est

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35

MOHAMED, ASHRAF ELSAID. "An Experimental Investigation of Supersonic Rectangular Over-Expanded Nozzle of Single and Two-Phase Flows." University of Cincinnati / OhioLINK, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1204661977.

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36

Ferhati, Arben. "Single-phase laminar flow heat transfer from confined electron beam enhanced surfaces." Thesis, Brunel University, 2015. http://bura.brunel.ac.uk/handle/2438/13827.

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The continuing requirement for computational processing power, multi-functional devices and component miniaturization have emphasised the need for thermal management systems able to maintain the temperature at safe operating condition. The thermal management industry is constantly seeking for new cutting edge, efficient, cost effective heat transfer enhancement technologies. The aim of this study is to utilize the electron beam treatment for the improvement of the heat transfer area in liquid cooled plates and experimentally evaluate the performance. Considering the complexity of the technolog

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37

Owhaib, Wahib. "Experimental Heat Transfer, pressure drop, and Flow Visualization of R-134a in Vertical Mini/Micro Tubes." Doctoral thesis, KTH, Tillämpad termodynamik och kylteknik, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4299.

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For the application of minichannel heat exchangers, it is necessary to have accurate design tools for predicting heat transfer and pressure drop. Until recently, this type of heat exchangers was not well studied, and in the scientific literature there were large discrepancies between results reported by different investigators. The present thesis aims to add to the knowledge of the fundamentals of single- and two-phase flow heat transfer and pressure drop in narrow channels, thereby aiding in the development of this new, interesting technology with the possibility of decreasing the size of ele

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38

Banyai, Tamas. "Development of Stabilized Finite Element Method for Numerical Simulation of Turbulent Incompressible Single and Eulerian-Eulerian Two-Phase Flows." Doctoral thesis, Universite Libre de Bruxelles, 2016. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/235110.

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The evolution of numerical methods and computational facilities allow re- searchers to explore complex physical phenomenons such as multiphase flows. The specific regime of incompressible, turbulent, bubbly two-phase flow (where a car- rier fluid is infused with bubbles or particles) is also receiving increased attention due to it’s appearance in major industrial processes. The main challenges arise from coupling individual aspects of the physics into a unified model and to provide a robust numerical framework. The presented work aimed at to achieve the second part by employing the most freque

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Steinke, Mark E. "Single-phase liquid flow and heat transfer in plain and enhanced silicon microchannels /." Link to online version, 2005. http://hdl.handle.net/1850/999.

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40

Nadim, Nima. "Fluid and thermal behaviour of multi-phase flow through curved ducts." Thesis, Curtin University, 2012. http://hdl.handle.net/20.500.11937/794.

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Fluid flow through curved ducts is influenced by the centrifugal action arising from duct curvature and has behaviour uniquely different to fluid flow through straight ducts. In such flows, centrifugal forces induce secondary flow vortices and produce spiralling fluid motion within curved ducts. Secondary flow promotes fluid mixing with intrinsic potential for thermal enhancement and, exhibits possibility of fluid instability and additional secondary vortices under certain flow conditions. Reviewing published numerical and experimental work, this thesis discusses the current knowledge-base on

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41

Zerai, Biniam. "CO₂ sequestration in saline aquifer geochemical modeling, reactive transport simulation and single-phase flow experiment /." online version, 2005. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=case1121459290.

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42

Hattingh, Shane Kenneth Francis. "The simulation of single phase, compressible fluid flow in fractured petroleum reservoirs using finite elements." Doctoral thesis, University of Cape Town, 2002. http://hdl.handle.net/11427/4888.

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Summary in English.<br>Bibliography: leaves 181-193.<br>In this thesis, commonly used equations governing the flow of fluids are reviewed, from first principles where appropriate. The assumptions that are made in the process are critically assessed and their limitations are discussed. The equations deal with flow through a porous and permeable medium, a single fracture, a network of fractures, and with the coupling of the fracture network and blocks of matrix material.

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43

Cetin, Barbaros. "Analysis Of Single Phase Convective Heat Transfer In Microtubes And Microchannels." Master's thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/12605820/index.pdf.

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Heat transfer analysis of two-dimensional, incompressible, constant property, hydrodynamically developed, thermally developing, single phase laminar flow in microtubes and microchannels between parallel plates with negligible axial conduction is performed for constant wall temperature and constant wall heat flux thermal boundary conditions for slip flow regime. Fully developed velocity profile is determined analytically, and energy equation is solved by using finite difference method for both of the geometries. The rarefaction effect which is important for flow in low pressures or flow in micr

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Mancin, Simone. ""Scambio termico e fluidodinamica durante i deflussi bifase e monofase su superfici estese e in microgeometrie" "Two-phase and single-phase heat transfer and fluid flow through enhanced surfaces and in microgeometries"." Doctoral thesis, Università degli studi di Padova, 2009. http://hdl.handle.net/11577/3426075.

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The heat transfer between two fluids or between a fluid and a surface, during both single-phase and two-phase flow, is intimately linked to the geometrical characteristic of the heat transfer surface involved. Generally speaking, if the heat transfer area increases, the global heat transfer also increases, but if the surface is developed to improve heat transfer, the overall performance can be higher. Compact and efficient heat exchangers and heat sinks are more and more demanded for electronics cooling applications, refrigeration and air conditioning systems. For this reason, the development

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45

Rezk, Kamal. "Methods for Reducing the Complexity of Geometrical Structures Based on CFD Programming : Time Efficient Simulations Based on Volume Forces Coupled with Single and Two-phase Flow." Doctoral thesis, Karlstads universitet, Institutionen för ingenjörs- och kemivetenskaper, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-31983.

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Throughout recent years, computer based programs have been applied to solve and analyse industrial problems encountered global fields such as automobile design for reduction of CO2-gas, designing wind parks aimed at increasing power output etc. One of these developed programs is Computational Fluid Dynamics (CFD) which numerically solves complex flow behaviour based on computer power. As there is an ongoing expansion of CFD usage in industry, certain issues need to be addressed as they are becoming more frequently encountered. The general demand for the simulation of larger control volumes and

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46

Ruzic, Vukan. "Mechanisms of protective FeCO₃ film removal in single-phase flow-accelerated CO₂ corrosion of mild steel /." [St. Lucia, Qld.], 2005. http://adt.library.uq.edu.au/public/adt-QU20060626.102924/index.html.

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47

Sundareswaran, Kartik Sivaram. "Characterizing single ventricle hemodynamics using phase contrast magnetic resonance imaging." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/31748.

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Thesis (Ph.D)--Biomedical Engineering, Georgia Institute of Technology, 2009.<br>Committee Chair: Yoganathan, Ajit; Committee Member: Fogel, Mark; Committee Member: Kanter, Kirk; Committee Member: Oshinski, John; Committee Member: Skrinjar, Oskar. Part of the SMARTech Electronic Thesis and Dissertation Collection.

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48

Celik, Sitki Berat. "Analysis Of Single Phase Fluid Flow And Heat Transfer In Slip Flow Regime By Parallel Implementation Of Lattice Boltzmann Method On Gpus." Master's thesis, METU, 2012. http://etd.lib.metu.edu.tr/upload/12614943/index.pdf.

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In this thesis work fluid flow and heat transfer in two-dimensional microchannels are studied numerically. A computer code based on Lattice Boltzmann Method (LBM) is developed for this purpose. The code is written using MATLAB and Jacket software and has the important feature of being able to run parallel on Graphics Processing Units (GPUs). The code is used to simulate flow and heat transfer inside micro and macro channels. Obtained velocity profiles and Nusselt numbers are compared with the Navier-Stokes based analytical and numerical results available in the literature and good matches are

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49

Bapat, Akhilesh V. "Experimental and numerical evaluation of single phase adiabatic flows in plain and enhanced microchannels /." Online version of thesis, 2007. http://hdl.handle.net/1850/5536.

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Barisik, Murat. "Analytical Solution For Single Phase Microtube Heat Transfer Including Axial Conduction And Viscous Dissipation." Master's thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/12609738/index.pdf.

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Heat transfer of two-dimensional, hydrodynamically developed, thermally developing, single phase, laminar flow inside a microtube is studied analytically with constant wall temperature thermal boundary condition. The flow is assumed to be incompressible and thermo-physical properties of the fluid are assumed to be constant. Viscous dissipation and the axial conduction are included in the analysis. Rarefaction effect is imposed to the problem via velocity slip and temperature jump boundary conditions for the slip flow regime. The temperature distribution is determined by solving the energy equa

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