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This short monograph focuses on the theoretical backgrounds and practical implementations concerning the thermodynamic modeling of multiphase equilibria of complex reservoir fluids using cubic equations of state. It aims to address the increasing needs of multiphase equilibrium calculations that arise in the compositional modeling of multiphase flow in reservoirs and wellbores. It provides a state-of-the-art coverage on the recent improvements of cubic equations of state. Considering that stability test and flash calculation are two basic tasks involved in any multiphase equilibrium calculations, it elaborates on the rigorous mathematical frameworks dedicated to stability test and flash calculation. A special treatment is given to the new algorithms that are recently developed to perform robust and efficient three-phase equilibrium calculations. This monograph will be of value to graduate students who conduct research in the field of phase behavior, as well as software engineers who work on the development of multiphase equilibrium calculation algorithms.
Reviews the latest developments in a subject relevant to professionals involved in the simulation and design of chemical processes - includes disk of computer programs.
High pressures play a more and more important role in modern technology. Examples are the supercritical fluid extraction of medical drugs and dyes from biological material, the handling of compressed or liquefied gases (including natural gas or hydrogen), the operation of modern thermal power plants, or various technical processes for controlled particle formation. High-Pressure Fluid Phase Equilibria, Second Edition enables understanding of the complicated phase behaviour that fluid or fluid mixtures (liquids, gases, or supercritical phases) can exhibit at elevated pressures. The underlying thermodynamic equations are explained, and robust algorithms for the computation of such equilibria (including solid–fluid equilibria) are proposed. Since the publication of the first edition of this book there have been many new developments, for instance differential equation methods for the computation of phase equilibria, accurate numerical differentiation, high-precision equations of state (e.g., the GERG model). Moreover, more detail and explanation has been added on important topics that were only briefly examined in the original book to better assist the reader, such as expansion processes and chemical reactions). The book remains invaluable as a single resource for grasping the intricacies of fluid phase behaviour. It enables readers to write or improve their own computer programs for the calculation of phase equilibria. It will appeal to graduate students of chemical engineering and university research staff involved in chemical engineering of supercritical fluids or the physical chemistry of fluids; the book can also serve as the basis of lectures or advanced students' seminars. - Comprehensively presents the complex world of phase equilibria (binary and ternary) and the various methods for computing phase equilibria, whilst carefully considering the relevant pressure and temperature ranges - Introduces phase diagram classes, how to recognize them, and how to identify their characteristic features - Presents rational nomenclature of binary fluid phase diagrams - Includes problems and solutions for self-testing, exercises, or seminarsNew to this Edition: - Presentation of the phase equilibria models is extended and expanded - There are now more descriptions on more equations of state, especially the PCSAFT EoS - Features new chapter on nonisothermal applications and chemically reactive systems and extensive updates and additions to all existing chapters
Traditionally, the teaching of phase equilibria emphasizes the relationships between the thermodynamic variables of each phase in equilibrium rather than its engineering applications. This book changes the focus from the use of thermodynamics relationships to compute phase equilibria to the design and control of the phase conditions that a process needs. Phase Equilibrium Engineering presents a systematic study and application of phase equilibrium tools to the development of chemical processes. The thermodynamic modeling of mixtures for process development, synthesis, simulation, design and optimization is analyzed. The relation between the mixture molecular properties, the selection of the thermodynamic model and the process technology that could be applied are discussed. A classification of mixtures, separation process, thermodynamic models and technologies is presented to guide the engineer in the world of separation processes. The phase condition required for a given reacting system is studied at subcritical and supercritical conditions. The four cardinal points of phase equilibrium engineering are: the chemical plant or process, the laboratory, the modeling of phase equilibria and the simulator. The harmonization of all these components to obtain a better design or operation is the ultimate goal of phase equilibrium engineering. - Methodologies are discussed using relevant industrial examples - The molecular nature and composition of the process mixture is given a key role in process decisions - Phase equilibrium diagrams are used as a drawing board for process implementation
Using an applications perspective Thermodynamic Models for Industrial Applications provides a unified framework for the development of various thermodynamic models, ranging from the classical models to some of the most advanced ones. Among these are the Cubic Plus Association Equation of State (CPA EoS) and the Perturbed Chain Statistical Association Fluid Theory (PC-SAFT). These two advanced models are already in widespread use in industry and academia, especially within the oil and gas, chemical and polymer industries. Presenting both classical models such as the Cubic Equations of State and more advanced models such as the CPA, this book provides the critical starting point for choosing the most appropriate calculation method for accurate process simulations. Written by two of the developers of these models, Thermodynamic Models for Industrial Applications emphasizes model selection and model development and includes a useful “which model for which application” guide. It also covers industrial requirements as well as discusses the challenges of thermodynamics in the 21st Century.
Thermodynamics of Phase Equilibria in Food Engineering is the definitive book on thermodynamics of equilibrium applied to food engineering. Food is a complex matrix consisting of different groups of compounds divided into macronutrients (lipids, carbohydrates, and proteins), and micronutrients (vitamins, minerals, and phytochemicals). The quality characteristics of food products associated with the sensorial, physical and microbiological attributes are directly related to the thermodynamic properties of specific compounds and complexes that are formed during processing or by the action of diverse interventions, such as the environment, biochemical reactions, and others. In addition, in obtaining bioactive substances using separation processes, the knowledge of phase equilibria of food systems is essential to provide an efficient separation, with a low cost in the process and high selectivity in the recovery of the desired component. This book combines theory and application of phase equilibria data of systems containing food compounds to help food engineers and researchers to solve complex problems found in food processing. It provides support to researchers from academia and industry to better understand the behavior of food materials in the face of processing effects, and to develop ways to improve the quality of the food products. - Presents the fundamentals of phase equilibria in the food industry - Describes both classic and advanced models, including cubic equations of state and activity coefficient - Encompasses distillation, solid-liquid extraction, liquid-liquid extraction, adsorption, crystallization and supercritical fluid extraction - Explores equilibrium in advanced systems, including colloidal, electrolyte and protein systems
The book begins with an overview of the phase diagrams of fluid mixtures (fluid = liquid, gas, or supercritical state), which can show an astonishing variety when elevated pressures are taken into account; phenomena like retrograde condensation (single and double) and azeotropy (normal and double) are discussed. It then gives an introduction into the relevant thermodynamic equations for fluid mixtures, including some that are rarely found in modern textbooks, and shows how they can they be used to compute phase diagrams and related properties. This chapter gives a consistent and axiomatic approach to fluid thermodynamics; it avoids using activity coefficients. Further chapters are dedicated to solid-fluid phase equilibria and global phase diagrams (systematic search for phase diagram classes). The appendix contains numerical algorithms needed for the computations. The book thus enables the reader to create or improve computer programs for the calculation of fluid phase diagrams. - introduces phase diagram classes, how to recognize them and identify their characteristic features - presents rational nomenclature of binary fluid phase diagrams - includes problems and solutions for self-testing, exercises or seminars