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Author : Matthew James Buoni
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (587 download)
Download or read book Numerical Simulation of Two Phase Fluid Flow with Long Range Surface Forces written by Matthew James Buoni and published by . This book was released on 2004 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sven Gross
Publisher : Springer Science & Business Media
ISBN 13 : 3642196861
Total Pages : 487 pages
Book Rating : 4.6/5 (421 download)
Download or read book Numerical Methods for Two-phase Incompressible Flows written by Sven Gross and published by Springer Science & Business Media. This book was released on 2011-04-26 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first monograph providing an introduction to and an overview of numerical methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations describing the fluid dynamics are examined in combination with models for mass and surfactant transport. The book pursues a comprehensive approach: important modeling issues are treated, appropriate weak formulations are derived, level set and finite element discretization techniques are analyzed, efficient iterative solvers are investigated, implementational aspects are considered and the results of numerical experiments are presented. The book is aimed at M Sc and PhD students and other researchers in the fields of Numerical Analysis and Computational Engineering Science interested in the numerical treatment of two-phase incompressible flows.
Author : Cl Kleinstreuer
Publisher : Routledge
ISBN 13 : 1351406485
Total Pages : 472 pages
Book Rating : 4.3/5 (514 download)
Download or read book Two-Phase Flow written by Cl Kleinstreuer and published by Routledge. This book was released on 2017-11-01 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate text provides a unified treatment of the fundamental principles of two-phase flow and shows how to apply the principles to a variety of homogeneous mixture as well as separated liquid-liquid, gas-solid, liquid-solid, and gas-liquid flow problems, which may be steady or transient, laminar or turbulent.Each chapter contains several sample problems, which illustrate the outlined theory and provide approaches to find simplified analytic descriptions of complex two-phase flow phenomena.This well-balanced introductory text will be suitable for advanced seniors and graduate students in mechanical, chemical, biomedical, nuclear, environmental and aerospace engineering, as well as in applied mathematics and the physical sciences. It will be a valuable reference for practicing engineers and scientists. A solutions manual is available to qualified instructors.
Author : Christophe Morel
Publisher : Springer
ISBN 13 : 3319201042
Total Pages : 365 pages
Book Rating : 4.3/5 (192 download)
Download or read book Mathematical Modeling of Disperse Two-Phase Flows written by Christophe Morel and published by Springer. This book was released on 2015-07-17 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the theoretical foundations of disperse two-phase flows, which are characterized by the existence of bubbles, droplets or solid particles finely dispersed in a carrier fluid, which can be a liquid or a gas. Chapters clarify many difficult subjects, including modeling of the interfacial area concentration. Basic knowledge of the subjects treated in this book is essential to practitioners of Computational Fluid Dynamics for two-phase flows in a variety of industrial and environmental settings. The author provides a complete derivation of the basic equations, followed by more advanced subjects like turbulence equations for the two phases (continuous and disperse) and multi-size particulate flow modeling. As well as theoretical material, readers will discover chapters concerned with closure relations and numerical issues. Many physical models are presented, covering key subjects including heat and mass transfers between phases, interfacial forces and fluid particles coalescence and breakup, amongst others. This book is highly suitable for students in the subject area, but may also be a useful reference text for more advanced scientists and engineers.
Author : Dokyun Kim
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (743 download)
Download or read book Direct Numerical Simulation of Two-phase Flow with Application to Air Layer Drag Reduction written by Dokyun Kim and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: An accurate and robust numerical method has been developed to simulate turbulent two-phase flows. The phase interface is tracked by the level-set method to capture frequent topological changes due to breaking or merging. Because of the broad-band characteristics of length scales in two-phase flow, a Lagrangian drop breakup model has been developed, which is coupled to the level-set method. In this approach, small subgrid droplets produced from resolved ligaments are then transferred from the level-set representation to the Lagrangian particles. The further secondary atomization is handled by a stochastic breakup model. When pinching-off of ligaments is not resolved on the level-set grid, a capillary breakup model is used to predict the drop size distribution from the pinching off and inserted as Lagrangian drops. This method improves the mass conservation as well as reducing the computational cost. For a high-fidelity simulation of two-phase flow, a new numerical algorithm has been developed to improve the robustness of the numerical method. The conservative formulation of Navier-Stokes equations is solved with a density correction term in the present method. The density flux terms are calculated from the level-set field for accuracy. In addition, a constant coefficient Poisson system is solved for pressure to satisfy the continuity equation in the fractional-step method. In order to show the capability of the method as an efficient tool in the breakup process, the atomization of a round liquid jet surrounded by a coaxial gas is considered. The numerical results are consistent with the observed breakup mechanisms in the experiment and the stability analysis. The drop size distribution of the resulting spray after breakup is also compared with the experimental data. The subgrid drops are also predicted by the Lagrangian drop breakup model, which shows the applicability of our method for numerical simulation of the atomization process. Both theoretical and numerical approaches are employed to investigate the stability mechanisms of the air layer drag reduction (ALDR) phenomenon. A linear viscous stability analysis is performed by solving the Orr-Sommerfeld equations in a two-dimensional two-phase Couette-Poiseuille flow configuration that mimics the far-downstream region from an air injector. Air-layer stability is reduced as the free-stream velocity, Froude number, and velocity gradients at the air-liquid interface are increased, whereas the air-layer stability is enhanced as the gas flow rate and surface tension force are increased. Nonlinear stability characteristics are also studied using numerical simulations with the same Couette flow configuration as indicated in the linear stability analysis. The study shows that the Weber number has a significant effect on the breakup of the phase interface. As the Weber number increases, the liquid ligaments become thinner, requiring higher grid resolution. Therefore, for simulations of high Weber number flows, the use of a Lagrangian spray breakup model is essential to predict the dynamics of subgrid-scale liquid structures. Direct Numerical Simulation (DNS) of two-phase flow is also performed to investigate the air layer drag reduction (ALDR) phenomenon in turbulent water flow over a backward-facing step. The Reynolds and Weber numbers based on the water properties and step height are 22,800 and 560, respectively. The total number of grid points is about 271 million for DNS. Two different air-flow injection rates are examined to investigate the mechanism and stability of the air layer. For high air-flow rate, the stable air layer is formed on the plate and more than 90% drag reduction is obtained, whereas, in the case of low air-flow rate, the air layer breaks up and ALDR is not achieved. The initial Kelvin-Helmholtz instability causes the streamwise wave structure, while turbulence interaction forms the spawise waves and causes ligament breakups. However, overall rupture of the air layer is mainly determined by the stability of the streamwise wave. The stability of the streamwise wave can be predicted from the stability analysis in the far-downstream region.
Author : Xue Bai
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)
Download or read book Real-time Visualization, Numerical Simulation and Mathematical Calculation of Two-Phase Fluid Flow from the Microscopic Perspective written by Xue Bai and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research combines real-time visualization, numerical simulation and mathematical calculation to explore the gas snap-off condition in the liquid-gas twophase fluid flow from the microscopic perspective. In the first phase of the research, the artificial glass micromodels are used for water film imbibition experiments. The experiment at this stage focuses on the real-time visualization to discuss the patterns of liquid film extension and gas phase break-up during the liquid infiltration process. The experimental results prove that the gas snap-off is more tend to happen in gasliquid coexisting surface with larger dynamic contact angle. At the same time, it is found that Roof's theory is a reliable tool to predict gas snap-off conditions in the experiment. In the second stage, the AnsysTM Fluid software is used to simulate the fluid flow within axisymmetric and continuously tapering pore-throat physical models. Compared with other research works performed in this field, the numerical simulation being conducted in this research contains less assumptions and default values in the background setting after the incorporation of experimental data. Through numerical simulation more detailed data is obtained to comprehensively investigate the mechanisms of microscopic two-phase fluid flow. Thirdly, the accuracy and the validity of the mathematical evolution equation for the two-phase flow were proved with the incorporation of experimental data, and verified the results generated from Ansys simulation. Furthermore, the results of numerical simulation prove that in surface tension dominated fluid conditions, the Beresnev's inequality equation can facilitate but cannot fully accurately predict the gas snap-off conditions in continuous pore throats. To summary, a tripod methodology for studying microscopic two-phase fluid flow was developed which takes into account the experimental data, numerical simulation and mathematical modeling.
Author : Shih-i Pai
Publisher : Springer-Verlag
ISBN 13 : 3322863484
Total Pages : 373 pages
Book Rating : 4.3/5 (228 download)
Download or read book Two-Phase Flows written by Shih-i Pai and published by Springer-Verlag. This book was released on 2013-07-02 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wilmer Ernest Culham
Publisher :
ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.F/5 ( download)
Download or read book Experimental and Numerical Simulation of Two-phase Flow with Interphase Mass Transfer in One and Two Dimensions written by Wilmer Ernest Culham and published by . This book was released on 1973 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zhaorui Li
Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.3/5 (129 download)
Download or read book Modeling and Simulation of Turbulent Multiphase Flows written by Zhaorui Li and published by . This book was released on 2008 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Volfango Bertola
Publisher : CISM International Centre for Mechanical Sciences
ISBN 13 :
Total Pages : 450 pages
Book Rating : 4.3/5 (91 download)
Download or read book Modelling and Experimentation in Two-Phase Flow written by Volfango Bertola and published by CISM International Centre for Mechanical Sciences. This book was released on 2003 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an up-to-date review of recent advances in the study of two-phase flows, with focus on gas-liquid flows, liquid-liquid flows, and particle transport in turbulent flows. The book is divided into several chapters, which after introducing basic concepts lead the reader through a more complex treatment of the subjects. The reader will find an extensive review of both the older and the more recent literature, with abundance of formulas, correlations, graphs and tables. A comprehensive (though non exhaustive) list of bibliographic references is provided at the end of each chapter. The volume is especially indicated for researchers who would like to carry out experimental, theoretical or computational work on two-phase flows, as well as for professionals who wish to learn more about this topic.
Author : Nikolay Ivanov Kolev
Publisher : Springer Science & Business Media
ISBN 13 : 3642206050
Total Pages : 810 pages
Book Rating : 4.6/5 (422 download)
Download or read book Multiphase Flow Dynamics 1 written by Nikolay Ivanov Kolev and published by Springer Science & Business Media. This book was released on 2011-10-22 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-phase flows are part of our natural environment such as tornadoes, typhoons, air and water pollution and volcanic activities as well as part of industrial technology such as power plants, combustion engines, propulsion systems, or chemical and biological industry. The industrial use of multi-phase systems requires analytical and numerical strategies for predicting their behavior. In its fourth extended edition the successful monograph package “Multiphase Flow Daynmics” contains theory, methods and practical experience for describing complex transient multi-phase processes in arbitrary geometrical configurations, providing a systematic presentation of the theory and practice of numerical multi-phase fluid dynamics. In the present first volume the local volume and time averaging is used to derive a complete set of conservation equations for three fluids each of them having multi components as constituents. Large parts of the book are devoted on the design of successful numerical methods for solving the obtained system of partial differential equations. Finally the analysis is repeated for boundary fitted curvilinear coordinate systems designing methods applicable for interconnected multi-blocks. This fourth edition includes various updates, extensions, improvements and corrections. "The literature in the field of multiphase flows is numerous. Therefore, it is very important to have a comprehensive and systematic overview including useful numerical methods. The volumes have the character of a handbook and accomplish this function excellently. The models are described in detail and a great number of comprehensive examples and some cases useful for testing numerical solutions are included. These two volumes are very useful for scientists and practicing engineers in the fields of technical thermodynamics, chemical engineering, fluid mechanics, and for mathematicians with interest in technical problems. Besides, they can give a good overview of the dynamically developing, complex field of knowledge to students. This monograph is highly recommended.” BERND PLATZER, ZAAM In the present first volume the local volume and time averaging is used to derive a complete set of conservation equations for three fluids each of them having multi components as constituents. Large parts of the book are devoted on the design of successful numerical methods for solving the obtained system of partial differential equations. Finally the analysis is repeated for boundary fitted curvilinear coordinate systems designing methods applicable for interconnected multi-blocks. This fourth edition includes various updates, extensions, improvements and corrections. "The literature in the field of multiphase flows is numerous. Therefore, it is very important to have a comprehensive and systematic overview including useful numerical methods. The volumes have the character of a handbook and accomplish this function excellently. The models are described in detail and a great number of comprehensive examples and some cases useful for testing numerical solutions are included. These two volumes are very useful for scientists and practicing engineers in the fields of technical thermodynamics, chemical engineering, fluid mechanics, and for mathematicians with interest in technical problems. Besides, they can give a good overview of the dynamically developing, complex field of knowledge to students. This monograph is highly recommended.” BERND PLATZER, ZAAM
Author : Peter D. M. Spelt
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789814280976
Total Pages : 350 pages
Book Rating : 4.2/5 (89 download)
Download or read book Computational Methods for Two-Phase Flows written by Peter D. M. Spelt and published by World Scientific Publishing Company Incorporated. This book was released on 2010 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uniquely presents an overview of methods for the numerical simulation of a wide range of two-phase flows, aimed at a broad readership of engineers and scientists at graduate level. Given that numerous methods have been proposed recently in this field, the new book series could not have been more timely and much needed for an up-to-date overview of the advances, whilst not restricting the focus on two-phase flows or any particular method. The book is written by a team of leading experts who have contributed substantially to the development of the methods and who have also applied the concepts and theories to a diverse range of applications. Computational Methods for Two-Phase Flows is self-contained, and aims to elucidate and analyze the strong relations between the various numerical methods, beyond merely giving detailed summary of the various methods. A unique enhanced feature of the book is that the sample codes that come with the book provide further benefits and ease of use to readers to implement the various numerical methods. The book is the first volume of a new book series entitled Advances in Computational Fluid Dynamics, published by World Scientific.
Author :
Publisher :
ISBN 13 :
Total Pages : 5 pages
Book Rating : 4.:/5 (684 download)
Download or read book Numerical Simulation of Two-phase Flow with Front-capturing written by and published by . This book was released on 2000 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because of the complexity of two-phase flow phenomena, two-phase flow codes rely heavily on empirical correlations. This approach has a number of serious shortcomings. Advances in parallel computing and continuing improvements in computer speed and memory have stimulated the development of numerical simulation tools that rely less on empirical correlations and more on fundamental physics. The objective of this work is to take advantage of developments in massively parallel computing, single-phase computational fluid dynamics of complex systems, and numerical methods for front capturing in two-phase flows to develop a computer code for direct numerical simulation of two-phase flow. This includes bubble/droplet transport, interface deformation and topology change, bubble/droplet interactions, interface mass, momentum and energy transfer.
Author : Robert Iskanderovich Nigmatulin
Publisher : CRC Press
ISBN 13 : 9780891163282
Total Pages : 402 pages
Book Rating : 4.1/5 (632 download)
Download or read book Dynamics Of Multiphase Media written by Robert Iskanderovich Nigmatulin and published by CRC Press. This book was released on 1990-09-01 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 2 of a monograph on current knowledge of phenomena and the theory and analysis of multiphase systems, offering a systematic treatment of energy, mass and momentum exchange in multiphase systems along with other applications which include shock hardening of metals and boiling heat transfer.
Author : Lan Zhang
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (1 download)
Download or read book Numerical Simulation of Two-phase Flow Using the Level Set Approach written by Lan Zhang and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this dissertation, we present numerical schemes in simulating immiscible two-phase flow problems. The goal of this work is to find unified solutions for numerical modeling of any kind of immiscible two-phase flow with moving interface. Fluid flows are modeled using Navier Stokes equations with discontinuous coefficients. We introduce the Volume Fraction method to evaluate discontinuous integrals arise from the variational formulation in the Finite Element method. The use of Volume Fraction method avoids the approximation of the Dirac Delta function, and therefore no regularization procedures are needed. Several operator splitting variants are studied in detail in linearized and non-linearized fashion, when we want to evaluate the discontinuous coefficients. Interface is captured using the Level Set approach, where a transport equation is solved numerically with fourth order scheme without any stabilization terms. The surface tension effect is implemented in a semi-implicit way, thus larger time steps can be used compared with the explicit method. A recent, well-developed re-initialization technique is included as a way to preserve the signed distance property of the Level Set function. All mentioned numerical methods are used to build two-dimensional solvers. Solvers have been tested both with single-phase flow and two-phase flow benchmark problems. In particular, the bubble dynamics are presented to validate stated numerical schemes.
Author : Andrea Prosperetti
Publisher : Cambridge University Press
ISBN 13 : 1139459902
Total Pages : 392 pages
Book Rating : 4.1/5 (394 download)
Download or read book Computational Methods for Multiphase Flow written by Andrea Prosperetti and published by Cambridge University Press. This book was released on 2009-06-25 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thanks to high-speed computers and advanced algorithms, the important field of modelling multiphase flows is an area of rapid growth. This one-stop account – now in paperback, with corrections from the first printing – is the ideal way to get to grips with this topic, which has significant applications in industry and nature. Each chapter is written by an acknowledged expert and includes extensive references to current research. All of the chapters are essentially independent and so the book can be used for a range of advanced courses and the self-study of specific topics. No other book covers so many topics related to multiphase flow, and it will therefore be warmly welcomed by researchers and graduate students of the subject across engineering, physics, and applied mathematics.
Author : China Rama Lakshman Anumolu
Publisher :
ISBN 13 :
Total Pages : 422 pages
Book Rating : 4.:/5 (1 download)
Download or read book Towards Numerical Methods for Two Phase Flow Simulations Undergoing Phase-change Phenomena written by China Rama Lakshman Anumolu and published by . This book was released on 2017 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical method to simulate phase-change phenomena is developed using gradient augmented level set strategy (GALS) for advection and reinitialization. Sharp capturing of jump in velocity and pressure is achieved using Ghost Fluid Method. A single phase approach is followed to obtain solution for the energy equation where the governing equation is solved in each fluid phase by explicitly identifying the interface. Explicit identification of the interface is used to properly chose stencil locations in approximating convection and diffusion terms of the energy equation so that a single phase treatment is enforced in the solution procedure. Two approaches to locate the interface are studied in this work; (i) a cubic Hermite interpolating polynomial which is inherent to GALS approach and yields spatially fourth order accurate interface location, (ii) a level set weighted approach which has been used in the level set literature that locates the interface using adjacent level set values as weights along a given axis on a cell edge. The added advantage of cubic Hermite interpolating polynomial over traditional level set weighted approach in approximating the differential terms near the interface is demonstrated. Numerical simulation of phase-change phenomena using level set approach has been the topic of research in the past, however comparison of different numerical strategies with in the category of level set methods have not been presented. Using the level set transport step as the key difference we present a comparative study in this work. Test cases include 1D Stefan problem, 1D absorption problem, 2D bubble growth under a prescribed mass transfer rate, 2D Frank sphere type problem, and a 3D growing bubble subjected to buoyant forces. Both GALS and SLS approaches yielded similar results for 1D test cases due to the choice of the function which is linear and is continuously reinitialized maintaining the signed distance property, resulting in the interface location upto same level of accuracy. Gradient augmented level set based numerical approach resulted in slightly better results for test cases in higher dimensions and with high fluid density ratios.
