Download or read book Modified Equilibrium Equation written by S. B. Batdorf and published by . This book was released on 1947 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Analytical Investigation of Three General Methods of Calculating Chemical equilibrium Compositions written by Frank J. Zeleznik and published by . This book was released on 1960 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Brinkley, Huff, and White methods for chemical-equilibrium calculations were modified and extended in order to permit an analytical comparison. The extended forms of these methods permit condensed species as reaction products, include temperature as a variable in the iteration, and permit arbitrary estimates for the variables. It is analytically shown that the three extended methods can be placed in a form that is independent of components. In this form the Brinkley iteration is identical computationally to the White method, while the modified Huff method differs only'slightly from these two. The convergence rates of the modified Brinkley and White methods are identical; and, further, all three methods are guaranteed to converge and will ultimately converge quadratically. It is concluded that no one of the three methods offers any significant computational advantages over the other two.
Download or read book Effective Stress and Equilibrium Equation for Soil Mechanics written by Longtan Shao and published by CRC Press. This book was released on 2017-12-06 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of effective stress and the effective stress equation is fundamental for establishing the theory of strength and the relationship of stress and strain in soil mechanics and poromechanics. However, up till now, the physical meaning of effective stress has not been explained clearly, and the theoretical basis of the effective stress equation has not been proposed. Researchers have not yet reached a common understanding of the feasibility of the concept of effective stress and effective stress equation for unsaturated soils. Effective Stress and Equilibrium Equation for Soil Mechanics discusses the definition of the soil skeleton at first and clarifies that the soil skeleton should include a fraction of pore water. When a free body of soil skeleton is taken to conduct internal force analysis, the stress on the surface of the free body has two parts: one is induced by pore fluid pressure that only includes normal stress; the other is produced by all the other external forces excluding pore fluid pressure. If the effective stress is defined as the soil skeleton stress due to all the external forces excluding pore fluid pressure, the effective stress equation can be easily obtained by the internal force equilibrium analysis. This equation reflects the relationship between the effective stress, total stress and pore fluid pressure, which does not change with the soil property. The effective stress equation of saturated soils and unsaturated soils is unified, i.e., o ̃=o ̃t –Seuw–(1–Se)ua. For multiphase porous medium, o ̃=o ̃t –u*,u*=Seiui(i=1,2,...,M). In this book, a theoretical formula of the coefficient of permeability for unsaturated soils is derived. The formula of the seepage force is modified based on the equilibrium differential equation of the pore water. The relationship between the effective stress and the shear strength and deformation of unsaturated soils is preliminarily verified. Finally, some possibly controversial problems are discussed to provide a better understanding of the role of the equilibrium equation and the concept of effective stress.
Download or read book Chemistry 2e written by Paul Flowers and published by . This book was released on 2019-02-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemistry 2e is designed to meet the scope and sequence requirements of the two-semester general chemistry course. The textbook provides an important opportunity for students to learn the core concepts of chemistry and understand how those concepts apply to their lives and the world around them. The book also includes a number of innovative features, including interactive exercises and real-world applications, designed to enhance student learning. The second edition has been revised to incorporate clearer, more current, and more dynamic explanations, while maintaining the same organization as the first edition. Substantial improvements have been made in the figures, illustrations, and example exercises that support the text narrative. Changes made in Chemistry 2e are described in the preface to help instructors transition to the second edition.
Download or read book A Study of Modified Equations of State for Vapor liquid Equilibrium Predictions written by Shuen-cheng Hwang and published by . This book was released on 1972 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Thermodynamic Properties of the Lighter Paraffin Hydrocarbons and Nitrogen written by Bruce Hornbrook Sage and published by . This book was released on 1950 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Liquid liquid Equilibria written by Josef P. Novák and published by Elsevier Publishing Company. This book was released on 1987 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: While a satisfactory description of liquid-vapour equilibria in binary and multi-component systems had been developed by the end of the fifties, a similar situation has only been attained for liquid-liquid equilibria in the last ten years. There are several reasons for this, the most important of which is the necessity to employ more complex thermodynamic models for a quantitative description of liquid-liquid equilibria. These models require very sophisticated calculation techniques that cannot be carried out without the assistance of a computer. The authors have attempted to provide a theoretical description of liquid-liquid equilibria at a level permitting routine chemical engineering applications similar to those common for liquid-vapour equilibria. Consequently, a great deal of attention is paid to the calculation of parameters for heterogeneous and homogeneous binary systems, and to the qualitative evaluation of the suitability of the most frequently used thermodynamic models.
Download or read book Application of a Modified Benedict Webb Rubin Equation to the Prediction of Saturated Equilibrium States written by Milton E. Palmer and published by . This book was released on 1978 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Effective Stress and Equilibrium Equation for Soil Mechanics written by Longtan Shao and published by CRC Press. This book was released on 2017-12-06 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of effective stress and the effective stress equation is fundamental for establishing the theory of strength and the relationship of stress and strain in soil mechanics and poromechanics. However, up till now, the physical meaning of effective stress has not been explained clearly, and the theoretical basis of the effective stress equation has not been proposed. Researchers have not yet reached a common understanding of the feasibility of the concept of effective stress and effective stress equation for unsaturated soils. Effective Stress and Equilibrium Equation for Soil Mechanics discusses the definition of the soil skeleton at first and clarifies that the soil skeleton should include a fraction of pore water. When a free body of soil skeleton is taken to conduct internal force analysis, the stress on the surface of the free body has two parts: one is induced by pore fluid pressure that only includes normal stress; the other is produced by all the other external forces excluding pore fluid pressure. If the effective stress is defined as the soil skeleton stress due to all the external forces excluding pore fluid pressure, the effective stress equation can be easily obtained by the internal force equilibrium analysis. This equation reflects the relationship between the effective stress, total stress and pore fluid pressure, which does not change with the soil property. The effective stress equation of saturated soils and unsaturated soils is unified, i.e., o ̃=o ̃t –Seuw–(1–Se)ua. For multiphase porous medium, o ̃=o ̃t –u*,u*=Seiui(i=1,2,...,M). In this book, a theoretical formula of the coefficient of permeability for unsaturated soils is derived. The formula of the seepage force is modified based on the equilibrium differential equation of the pore water. The relationship between the effective stress and the shear strength and deformation of unsaturated soils is preliminarily verified. Finally, some possibly controversial problems are discussed to provide a better understanding of the role of the equilibrium equation and the concept of effective stress.
Download or read book A Modified Method of Integral Relations Approach to the Blunt body Equilibrium Air Flow Field Including Comparisons with Inverse Solutions written by Lloyd Bernard Garrett and published by . This book was released on 1969 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical calculation of inviscid adiabatic flow field around blunt bodies at hypersonic speeds.
Download or read book A Method for Computing Chemical equilibrium Compositions of Reacting gas Mixtures by Reduction to a Single Interation Equation written by Wayne Douglas Erickson and published by . This book was released on 1966 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Phase Behavior written by Curtis H. Whitson and published by Society of Petroleum Engineers. This book was released on 2000 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase Behavior provides the reader with the tools needed to solve problems requiring a description of phase behavior and specific pressure/volume/temperature (PVT) properties.
Download or read book Chemistry 2e written by Paul Flowers and published by . This book was released on 2019-02-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemistry 2e is designed to meet the scope and sequence requirements of the two-semester general chemistry course. The textbook provides an important opportunity for students to learn the core concepts of chemistry and understand how those concepts apply to their lives and the world around them. The book also includes a number of innovative features, including interactive exercises and real-world applications, designed to enhance student learning. The second edition has been revised to incorporate clearer, more current, and more dynamic explanations, while maintaining the same organization as the first edition. Substantial improvements have been made in the figures, illustrations, and example exercises that support the text narrative. Changes made in Chemistry 2e are described in the preface to help instructors transition to the second edition.
Download or read book Working Guide to Vapor Liquid Phase Equilibria Calculations written by Tarek Ahmed and published by Gulf Professional Publishing. This book was released on 2009-08-27 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Working Guide to Vapor-Liquid Phase Equilibria Calculations offers a practical guide for calculations of vapor-phase equilibria. The book begins by introducing basic concepts such as vapor pressure, vapor pressure charts, equilibrium ratios, and flash calculations. It then presents methods for predicting the equilibrium ratios of hydrocarbon mixtures: Wilson's correlation, Standing's correlation, convergence pressure method, and Whitson and Torp correlation. The book describes techniques to determine equilibrium ratios of the plus fraction, including Campbell's method, Winn's method, and Katz's method. The remaining chapters cover the solution of phase equilibrium problems in reservoir and process engineering; developments in the field of empirical cubic equations of state (EOS) and their applications in petroleum engineering; and the splitting of the plus fraction for EOS calculations. Includes explanations of formulas Step by step calculations Provides examples and solutions
Download or read book Thermodynamics of Phase Equilibria in Food Engineering written by Camila Gambini Pereira and published by Academic Press. This book was released on 2018-10-17 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book The Principles of Chemical Equilibrium written by Kenneth George Denbigh and published by Cambridge University Press. This book was released on 1981-03-26 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sample Text
Download or read book Equilibrium Diagrams written by Robert Peter Frankenthal and published by . This book was released on 1984 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt:
