Letkuventtiilin mitoitus säätökäyttöön

Tässä diplomityössä käydään läpi IEC-60534 -standardin mukainen säätöventtiilin mitoitus kokoonpuristumattomille ja –puristuville virtauksille laskennassa tarvittavine yhtälöineen. Teoreettisessa osassa esitellään RF-letkuventtiilien rakennetta ja ominaisuuksia. Lisäksi käydään läpi putkivirtauksen perusperiaatteita. Koska letkuventtiilissä virtaavana fluidina on usein jokin liete, on työssä esitelty menetelmä lietevirtauksen aiheuttaman paine-eron laskentaan. Työssä on käsitelty myös kavitaation syntyä, laskennalliset mahdollisuudet kavitaation ennustamiseen sekä keinoja kavitaation estämiseksi. Kokeellisessa osassa suoritettiin mittauksia kolmella erikokoisella RF-letkuventtiilillä, joissa kussakin käytettiin kolmea erityyppistä letkua. Mittausten perusteella pystyttiin laskemaan kapasiteettikertoimet sekä määrittämään säätökäyrät mitatuille venttiileille ja letkutyypeille. Näistä tuloksista säätökäyrille sovitettiin yhtälöt, joiden perusteella saatiin laskettua kapasiteettikertoimien arvot myös muille venttiilikoille.

Maakaasun paineenvähennysaseman paineenvähennyslaitteen mitoitus

Diplomityö tehtiin maakaasun paineenvähennysaseman paineenvähennyslaitteen mitoituksesta. Työn kuluessa suunniteltiin ja toteutettiin mitoitusohjelma maakaasun paineenvähennyslaitteen mitoitukseen. Työssä tutustutaan maakaasun putkivirtaukseen ja paineenvähennysaseman paineenvähennyslaitteeseen. Työssä selvitetään paineenvähennyslaitteen eri osien toiminta ja tarve, sekä kuinka niiden mitoitus ja valinta tapahtuu. Lopputuloksena työstä saatiin suunniteltua ja toteutettua mitoitusohjelma paineenvähennyslaitteelle. Mitoitusohjelman avulla saadaan helposti ja nopeasti selville sopivat osat paineenvähennyslaitteeseen halutulla painetasolla ja ainemäärällä. Ohjelman on tarkoitus helpottaa ja nopeuttaa paineenvähennyslaitteen mitoitusta ja suunnittelua.

Analysis of Phase Separator Design Criteria Using Computational Fluid Dynamics

Gravitational phase separation is a common unit operation found in most large-scale chemical processes. The need for phase separation can arise e.g. from product purification or protection of downstream equipment. In gravitational phase separation, the phases separate without the application of an external force. This is achieved in vessels where the flow velocity is lowered substantially compared to pipe flow. If the velocity is low enough, the denser phase settles towards the bottom of the vessel while the lighter phase rises. To find optimal configurations for gravitational phase separator vessels, several different geometrical and internal design features were evaluated based on simulations using OpenFOAM computational fluid dynamics (CFD) software. The studied features included inlet distributors, vessel dimensions, demister configurations and gas phase outlet configurations. Simulations were conducted as single phase steady state calculations. For comparison, additional simulations were performed as dynamic single and two-phase calculations. The steady state single phase calculations provided indications on preferred configurations for most above mentioned features. The results of the dynamic simulations supported the utilization of the computationally faster steady state model as a practical engineering tool. However, the two-phase model provides more truthful results especially with flows where a single phase does not determine the flow characteristics.

Numerical prediction of three-dimensional time-dependent viscoelastic extrudate swell using differential and algebraic models

This study investigates the numerical simulation of three-dimensional time-dependent viscoelastic free surface flows using the Upper-Convected Maxwell (UCM) constitutive equation and an algebraic explicit model. This investigation was carried out to develop a simplified approach that can be applied to the extrudate swell problem. The relevant physics of this flow phenomenon is discussed in the paper and an algebraic model to predict the extrudate swell problem is presented. It is based on an explicit algebraic representation of the non-Newtonian extra-stress through a kinematic tensor formed with the scaled dyadic product of the velocity field. The elasticity of the fluid is governed by a single transport equation for a scalar quantity which has dimension of strain rate. Mass and momentum conservations, and the constitutive equation (UCM and algebraic model) were solved by a three-dimensional time-dependent finite difference method. The free surface of the fluid was modeled using a marker-and-cell approach. The algebraic model was validated by comparing the numerical predictions with analytic solutions for pipe flow. In comparison with the classical UCM model, one advantage of this approach is that computational workload is substantially reduced: the UCM model employs six differential equations while the algebraic model uses only one. The results showed stable flows with very large extrudate growths beyond those usually obtained with standard differential viscoelastic models. (C) 2010 Elsevier Ltd. All rights reserved.

Numerical solution of the PTT constitutive equation for unsteady three-dimensional free surface flows

This work deals with the development of a numerical technique for simulating three-dimensional viscoelastic free surface flows using the PTT (Phan-Thien-Tanner) nonlinear constitutive equation. In particular, we are interested in flows possessing moving free surfaces. The equations describing the numerical technique are solved by the finite difference method on a staggered grid. The fluid is modelled by a Marker-and-Cell type method and an accurate representation of the fluid surface is employed. The full free surface stress conditions are considered. The PTT equation is solved by a high order method, which requires the calculation of the extra-stress tensor on the mesh contours. To validate the numerical technique developed in this work flow predictions for fully developed pipe flow are compared with an analytic solution from the literature. Then, results of complex free surface flows using the FIT equation such as the transient extrudate swell problem and a jet flowing onto a rigid plate are presented. An investigation of the effects of the parameters epsilon and xi on the extrudate swell and jet buckling problems is reported. (C) 2010 Elsevier B.V. All rights reserved.

Análise do escoamento de HFC-134a em tubos capilares usando o modelo de dois fluidos

This work presents a numerical model to simulate refrigerant flow through capillary tubes, commonly used as expansion devices in refrigeration systems. The capillary tube is considered straight and horizontal. The flow is taken as one-dimensional and adiabatic. Steady state and thermodynamic equilibrium conditions are assumed. The two-fluid model, involving four conservation equations and considering the hidrodynamic nonequilibrium between the liquid and vapor phases is applied to the flow region. The pressure profiles and the mass flow rates given by the model are compared with experimental data.

A steady-state model for heat pipes of circular or rectangular cross-sections

The objective of this paper is to present a generalized analytical-numerical model of the internal flow in heat pipes. The model formulation is based on two-dimensional formulation of the energy and momentum equations in the vapour and liquid regions and also in the metallic tube. The numerical solution of the model is obtained by using the descretization scheme LOAD and the SIMPLE numerical code. The flow fields, as well as the pressure fields, for different geometries were obtained and discussed. Copyright © 1996 Elsevier Science Ltd.

Simulação numérica de trocadores de calor multitubulares equipados com fitas helicoidais externamente aos tubos

Classical shell-and-tube heat exchangers are usually equipped with segmental baffles. These baffles serve two basic functions: (a) they provide tube supports, thereby preventing or reducing mechanical problems, such as sagging or vibration; (b) they direct the fluid flow over the tubes so as to introduce a cross-flow component, thereby increasing the heat transfer. Segmented baffles have several sources of performance loss, some due to various leakage flows and others caused by stagnation zones. A new concept of longitudinal flow heat exchanger - based on placing twisted tapes along the tube bundle subchannels - was developed to mitigate drawbacks of other types of tubular heat exchangers. In this paper, a numerical model has been implemented in order to simulate the thermal-hydraulic feature of tubular heat exchangers equipped either with segmental baffles or with subchannel twisted tapes. The tube bundle has been described by means of an equivalent porous medium type model, allowing a macroscopic description of the shell-side flow. The basic equations - continuity, momentum and energy - have been solved by using the finite volume method. Typical numerical results have been compared with experimental data, reaching a very good agreement. A comparative analysis of different types of heat exchangers has been carried out, revealing the satisfactory thermal-hydraulic efficiency level of the twisted tapes heat exchangers.

Three-dimensional transient complex free surface flows: Numerical simulation of XPP fluid

In this paper we present a finite difference MAC-type approach for solving three-dimensional viscoelastic incompressible free surface flows governed by the eXtended Pom-Pom (XPP) model, considering a wide range of parameters. The numerical formulation presented in this work is an extension to three-dimensions of our implicit technique [Journal of Non-Newtonian Fluid Mechanics 166 (2011) 165-179] for solving two-dimensional viscoelastic free surface flows. To enhance the stability of the numerical method, we employ a combination of the projection method with an implicit technique for treating the pressure on the free surfaces. The differential constitutive equation of the fluid is solved using a second-order Runge-Kutta scheme. The numerical technique is validated by performing a mesh refinement study on a pipe flow, and the numerical results presented include the simulation of two complex viscoelastic free surface flows: extrudate-swell problem and jet buckling phenomenon. © 2013 Elsevier B.V.

A Reynolds stress model for turbulent flows of viscoelastic fluids

A second-order closure is developed for predicting turbulent flows of viscoelastic fluids described by a modified generalised Newtonian fluid model incorporating a nonlinear viscosity that depends on a strain-hardening Trouton ratio as a means to handle some of the effects of viscoelasticity upon turbulent flows. Its performance is assessed by comparing its predictions for fully developed turbulent pipe flow with experimental data for four different dilute polymeric solutions and also with two sets of direct numerical simulation data for fluids theoretically described by the finitely extensible nonlinear elastic - Peterlin model. The model is based on a Newtonian Reynolds stress closure to predict Newtonian fluid flows, which incorporates low Reynolds number damping functions to properly deal with wall effects and to provide the capability to handle fluid viscoelasticity more effectively. This new turbulence model was able to capture well the drag reduction of various viscoelastic fluids over a wide range of Reynolds numbers and performed better than previously developed models for the same type of constitutive equation, even if the streamwise and wall-normal turbulence intensities were underpredicted.

Scherverhalten kolloidaler Lagenphasen in Rohrströmungen

Kolloidale Suspensionen aus identischen kugelförmigen, geladenen Partikeln in wässrigen Medien stellen ein ideales Modellsystem zur Untersuchung des Gleichgewichtsverhaltens, aber auch des Nicht-Gleichgewichtsverhaltens Weicher Materie dar. So bilden derartige Systeme bei hinreichend starker und langreichweitiger elektrostatischer Repulsion fluid und kristallin geordnete Strukturen aus, die wegen der weitreichenden Analogie zu atomar kondensierter Materie als kolloidale Fluide und Kristalle bezeichnet werden. Von großem Vorteil ist dabei die Möglichkeit zur kontrollierten Einstellung der Wechselwirkung und die gute optische Zugänglichkeit für Mikroskopie und Lichtstreuung sowie die Weichheit der Materialien, aufgrund derer sich auch Zustände fernab des mechanischen Gleichgewichts gezielt präparieren lassen. Themenstellung der vorliegenden Arbeit ist die Untersuchung des Phasenverhaltens und der Fließmechanismen kolloidaler Kristalle in einer Rohrströmung. Im ersten Teil der Arbeit wird gezeigt, dass beim Fluss durch eine zylindrische Röhre Mehrphasenkoexistenz auftritt, wobei ein polykristalliner Kern von einer isotropen Scherschmelze umgeben ist. Zusätzlich treten an der Grenze zwischen diesen Phasen und an der Rohrwand Phasen hexagonal geordneter übereinander hinweggleitender Lagen auf. Der Vergleich zwischen auf der Basis der Navier-Stokes-Gleichung theoretisch berechneten und gemessenen Geschwindigkeitsprofilen zeigt, dass jede dieser Phasen für sich Newtonsches Fließverhalten aufweist. Die Gesamtviskosität ist hingegen durch die mit dem Durchsatz veränderliche Phasenzusammensetzung Nicht-Newtonsch. Damit gelang es, die erstmalig von Würth beschriebene Scherverdünnung auf eine Veränderung der Phasenzusammensetzung zurückzuführen. Im zweiten Teil der Arbeit wurde erstmals das Fließverhalten der Lagenphasen mittels Lichtstreuung und Korrelationsanalyse untersucht. Dafür wurde ein im Prinzip einfacher, aber leistungsstarker Aufbau realisiert, der es erlaubt, die zeitliche Veränderung der Bragg-Reflexe der Lagenphase in radialer und azimutaler Richtung zu verfolgen und mittels Fourieranalyse zu analysieren. In Abhängigkeit vom Durchsatz geht die zunächst rastend gleitende Lagenphase in eine frei gleitende Lagenphase über, wobei charakteristische Veränderungen der Spektren sowie der Korrelationsfunktionen auftreten, die detailliert diskutiert werden. Der Übergang im Gleitmechanismus ist mit einem Verlust der Autokorrelation der Rotationskomponente der periodischen Intra-Lagenverzerrung verbunden, während die Kompressionskomponente erhalten bleibt. Bei hohen Durchflüssen lassen die Reflexbewegungen auf das Auftreten einer Eigenschwingung der frei gleitenden Lagen schließen. Diese Schwingung lässt sich als Rotationsbewegung, gekoppelt mit einer transversalen Auslenkung in Vortexrichtung, beschreiben. Die Ergebnisse erlauben eine detaillierte Diskussion von verschiedenen Modellvorstellungen anderer Autoren.

Reynolds-stress turbulence model in the KIVA code for engine simulation

A Reynolds-Stress Turbulence Model has been incorporated with success into the KIVA code, a computational fluid dynamics hydrocode for three-dimensional simulation of fluid flow in engines. The newly implemented Reynolds-stress turbulence model greatly improves the robustness of KIVA, which in its original version has only eddy-viscosity turbulence models. Validation of the Reynolds-stress turbulence model is accomplished by conducting pipe-flow and channel-flow simulations, and comparing the computed results with experimental and direct numerical simulation data. Flows in engines of various geometry and operating conditions are calculated using the model, to study the complex flow fields as well as confirm the model’s validity. Results show that the Reynolds-stress turbulence model is able to resolve flow details such as swirl and recirculation bubbles. The model is proven to be an appropriate choice for engine simulations, with consistency and robustness, while requiring relatively low computational effort.

Estudo fenomenológico e numérico do escoamento estratificado óleo-água ondulado e com mistura na interface

Escoamentos bifásicos estão presentes em diversos processos naturais e industriais, como na indústria de petróleo. Podem apresentar-se em diferentes configurações topológicas, ou, padrões de escoamento, entre eles o escoamento estratificado ondulado e o estratificado com mistura na interface. Os escoamentos bifásicos estratificados óleo-água têm sido utilizados como uma forma conveniente de evitar a formação de emulsões de água em óleo em oleodutos e possuem uma ocorrência comum em poços de petróleo direcionais. Quando a onda interfacial ultrapassa determinado limite geométrico e cinemático, surge o fenômeno do entranhamento de gotas, representado por misturas entre as fases junto à interface que promovem um aumento na queda de pressão. Modelos têm sido apresentados pela literatura na tentativa de descrever o fenômeno do entranhamento de gotas. Neste trabalho é apresentada uma nova proposta de modelagem matemática unidimensional para o entranhamento de gotas com o objetivo de melhorar a previsão dos parâmetros envolvidos, em especial, da fração volumétrica de óleo e da queda de pressão bifásica. Também foi utilizada simulação numérica computacional, CFD (Computational Fluid Dynamics), com o uso de software comercial para obtenção dos valores dos parâmetros do escoamento estratificado ondulado óleo-água (fração volumétrica de óleo, queda de pressão, amplitude e comprimento da onda interfacial). Os resultados da modelagem fenomenológica para entranhamento e os de CFD foram comparados com bancos de dados experimentais. Os resultados em CFD mostram concordância com os resultados experimentais, tanto na análise qualitativa das propriedades geométricas das ondas interfaciais, quanto na comparação direta com os dados para fração volumétrica e queda de pressão. Os resultados numéricos da modelagem fenomenológica para fatores de entranhamento apresentam boa concordância com dados da literatura.

Studying fluid systems with the McIlroy fluid network analyzer.

Mode of access: Internet.

The nitrate to ammonia and ceramic (NAC) process for the denitration and immobilization of low-level radioactive liquid waste (LLW)

Hazardous radioactive liquid waste is the legacy of more than 50 years of plutonium production associated with the United States' nuclear weapons program. It is estimated that more than 245,000 tons of nitrate wastes are stored at facilities such as the single-shell tanks (SST) at the Hanford Site in the state of Washington, and the Melton Valley storage tanks at Oak Ridge National Laboratory (ORNL) in Tennessee. In order to develop an innovative, new technology for the destruction and immobilization of nitrate-based radioactive liquid waste, the United State Department of Energy (DOE) initiated the research project which resulted in the technology known as the Nitrate to Ammonia and Ceramic (NAC) process. However, inasmuch as the nitrate anion is highly mobile and difficult to immobilize, especially in relatively porous cement-based grout which has been used to date as a method for the immobilization of liquid waste, it presents a major obstacle to environmental clean-up initiatives. Thus, in an effort to contribute to the existing body of knowledge and enhance the efficacy of the NAC process, this research involved the experimental measurement of the rheological and heat transfer behaviors of the NAC product slurry and the determination of the optimal operating parameters for the continuous NAC chemical reaction process. Test results indicate that the NAC product slurry exhibits a typical non-Newtonian flow behavior. Correlation equations for the slurry's rheological properties and heat transfer rate in a pipe flow have been developed; these should prove valuable in the design of a full-scale NAC processing plant. The 20-percent slurry exhibited a typical dilatant (shear thickening) behavior and was in the turbulent flow regime due to its lower viscosity. The 40-percent slurry exhibited a typical pseudoplastic (shear thinning) behavior and remained in the laminar flow regime throughout its experimental range. The reactions were found to be more efficient in the lower temperature range investigated. With respect to leachability, the experimental final NAC ceramic waste form is comparable to the final product of vitrification, the technology chosen by DOE to treat these wastes. As the NAC process has the potential of reducing the volume of nitrate-based radioactive liquid waste by as much as 70 percent, it not only promises to enhance environmental remediation efforts but also effect substantial cost savings. ^