| Description |
1 online resource |
| Contents |
Machine generated contents note: ch. 1 Peculiarities of Thermodynamic Regularities Formation -- 1. Character of the Development of Heat Conversion Science -- 2. Substantiation of the Validity of Boltzmann's Theory -- ch. 2 Brief Review of Thermodynamic Regularities -- 1. Preliminary Notes -- 2. The First Law -- Energy Conservation Principle -- 3. The Second Law of Thermodynamics -- 4. Carnot Cycle -- 5. Formulation of the Notion of Entropy -- 6. Statistical Substantiation of Entropy -- ch. 3 The Gibbs Paradox and Attempts of Its Solution -- 1. Essence of the Paradox -- 2. Analysis of Attempts to Solve the Gibbs Paradox -- 3. Operational Approach to the Paradox Solution -- 4. Informational Approach to the Gibbs Paradox Solution -- 5. Problems of Industrial Separation of Gas Mixtures -- ch. 4 Solution of the Gibbs Paradox and Related Problems -- 1. Physical Substantiation of Entropy Jump -- 2. Entropy Dimension -- 3. Certain Properties of Entropy of a Mixture -- ch. 5 Available Quality Criteria for Separation Processes -- 1. Quality Criteria Generation -- 2. Other Indices of the Process Completion -- 3. Criteria Differing From Hancock's Method -- 4. Criteria-Free Methods of Separation Processes Optimization -- 5. Optimization of Separation Processes by Fractional Extraction Curves -- 6. Properties of Fractional Separation Curves -- ch. 6 Generalized Optimization Criterion for Separation Processes -- 1. Probabilistic Interpretation of Mixture Components -- 2. Uncertainty of Mixture Composition -- 3. Separation Efficiency -- 4. Optimality Condition for Binary Mixtures Separation by the Entropy Criterion -- ch. 7 Multistage Separation Mechanism -- 1. Fractions Over the Cascade Stages -- 2. Proportional Model of Cascade Separation -- 3. Discrete Model -- 4. Principal Relationships of the Model -- 5. Fractional Extraction into Fine Product -- 6. Analysis of Mathematical Model of Regular Cascade -- 7. Separation at Cyclic Feed of the Initial Material into a Cascade Apparatus -- 8. Absorbing Markov's Chain in Cascade Separation of Bulk Materials -- 9. Mathematical Model of Cascade Separation With Arbitrary Distribution Coefficients -- ch. 8 Practical Application of the Obtained Results -- 1. Separation of Binary Mixtures -- 2. Multiproduct Separation -- 3. Algorithms of Optimization of Separation into n Components -- 3.1. Optimization of Separation into Four Components -- 4. Optimality Conditions for Multiproduct Separation -- ch. 9 Analysis of the Obtained Results and Summing-up -- 1. Extension of the Insight into Some Aspects of Entropy Parameter -- 2. Some Fundamental Aspects of Entropy -- 3. Conclusion |
| Summary |
Gibbs' Entropic Paradox and Problems of Separation Processes reviews the so-called Gibb's Paradox observed during the mixing of two systems. During the last 150 years, many physicists and specialists in thermodynamics, statistical and quantum mechanics been engaged in the solution of the Gibbs paradox. Many books and journal articles have written on this topic, but a widely accepted answer is still lacking. In this book, the author reviews and analyzes all this data. Based on findings, the book formulates a different approach to this paradox and substantiates it on the basis of physical and statistical principles. The book clearly shows that entropy consists of two parts, static and dynamic. Up to now, entropy has been connected only with the process dynamics. However, the Gibbs paradox is caused by the change in the static component of entropy. Finally, the book includes examples of separation processes and how to optimize them in various fields, including biology, cosmology, crystallography and the social sciences |
| Bibliography |
Includes bibliographical references and index |
| Subject |
Gibbs' paradox.
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Separation (Technology)
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SCIENCE -- Energy.
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SCIENCE -- Mechanics -- General.
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SCIENCE -- Physics -- General.
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Gibbs' paradox
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Separation (Technology)
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| Form |
Electronic book
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| LC no. |
2017275162 |
| ISBN |
9780444639202 |
|
0444639209 |
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