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Mathematical Theory of Sedimentation Analysis

2016-06-03 Mathematics
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Release : 2016-06-03
Genre : Mathematics
Kind : eBook
Book Rating : 357/5 ( reviews)

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Book Synopsis Mathematical Theory of Sedimentation Analysis by : Hiroshi Fujita

Download or read book Mathematical Theory of Sedimentation Analysis written by Hiroshi Fujita. This book was released on 2016-06-03. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Theory of Sedimentation Analysis deals with ultracentrifugal analysis. The book reviews flow equations for the ultracentrifuge, for two component systems, for multicomponent systems, and in chemically reacting systems. It explains the Svedberg equation and its extensions, and also the tests of the Onsager reciprocal relation. By employing a system consisting of two strong electrolytes and a solvent, the book illustrates that the sedimentation processes can be treated in terms of thermodynamics of irreversible processes. It also explains sedimentation-diffusion equilibrium and an approach to sedimentation equilibrium. It reviews the prediction of the time required to reach equilibrium, the estimates being made by Weaver (1926), and by Mason and Weaver (1924). The book employs sedimentation in a sector-shaped cell in a centrifugal field, of which the solutions of Mason and Weaver closely approximate the actual concentration distribution in the ultra-centrifuge cell. Other accurate solutions are by Fujita, Nazarian (1958), Yphantis, and Waugh. The book will prove valuable for mathematicians, physical chemists, biophysical chemists students, or professor of advanced mathematics.

Mathematical Theory of Sedimentation Analysis

2013-10-22 Science
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Release : 2013-10-22
Genre : Science
Kind : eBook
Book Rating : 841/5 ( reviews)

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Book Synopsis Mathematical Theory of Sedimentation Analysis by : Hiroshi Fujita

Download or read book Mathematical Theory of Sedimentation Analysis written by Hiroshi Fujita. This book was released on 2013-10-22. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Theory of Sedimentation Analysis presents the flow equations for the ultracentrifuge. This book is organized into two parts encompassing six chapters that evaluate the systems of reacting components, the differential equations for the ultracentrifuge, and the case of negligible diffusion. The first chapters consider the Archibald method for molecular weight determination; pressure-dependent sedimentation; expressions for the refractive index and its gradient; relation between refractive index and concentration; and the analysis of Gaussian distribution. Other chapters deal with the basic equations for three-component systems, the extension of the Archibald method to multicomponent systems, and the case of independent sedimentation and diffusion. These topics are followed by a presentation of the extrapolation procedures due to Oth and Desreux. The last chapters are devoted to the examination of the Johnston-Ogston effect and sedimentation with a differential boundary. The book can provide useful information to chemists, physicists, students, and researchers.

Sedimentation and Thickening

2013-03-09 Mathematics
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Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 272/5 ( reviews)

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Book Synopsis Sedimentation and Thickening by : E.M. Tory

Download or read book Sedimentation and Thickening written by E.M. Tory. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present a rigorous phenomenological and mathematical formulation of sedimentation processes and to show how this theory can be applied to the design and control of continuous thickeners. The book is directed to stu dents and researchers in applied mathematics and engineering sciences, especially in metallurgical, chemical, mechanical and civil engineering, and to practicing en gineers in the process industries. Such a vast and diverse audience should read this book differently. For this reason we have organized the chapters in such a way that the book can be read in two ways. Engineers and engineering students will find a rigorous formulation of the mathematical model of sedimentation and the exact and approximate solutions for the most important problems encountered in the laboratory and in industry in Chapters 1 to 3, 7 and 8, and 10 to 12, which form a self-contained subject. They can skip Chapters 4 to 6 and 9, which are most important to applied mathematicians, without losing the main features of sedimentation processes. On the other hand, applied mathematicians will find special interest in Chapters 4 to 6 and 9 which show some known but many recent results in the field of conservation laws of quasilinear hyperbolic and degenerate parabolic equations of great interest today. These two approaches to the theory keep their own styles: the mathematical approach with theorems and proofs, and the phenomenological approach with its deductive technique.

Analytical Ultracentrifugation

2007-12-16 Science
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Release : 2007-12-16
Genre : Science
Kind : eBook
Book Rating : 617/5 ( reviews)

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Book Synopsis Analytical Ultracentrifugation by : David Scott

Download or read book Analytical Ultracentrifugation written by David Scott. This book was released on 2007-12-16. Available in PDF, EPUB and Kindle. Book excerpt: Analytical ultracentrifugation has become an increasingly important technique for monitoring the size and shape of biological macromolecules. Analytical Ultracentrifugation: Techniques and Methods contains contributions from experts in the field, bringing together the multitude of developments that have taken place in instrumentation and analysis over the past decade into a single volume. This book covers the latest methods in analysis along with an extensive introduction for the novice user. Analysis methods in both sedimentation velocity and sedimentation equilibrium are discussed at length. Protein, protein/DNA, membrane proteins and polymer systems are also explored, along with software developments and non-ideality.

Journal of Research of the National Bureau of Standards

1972 Chemistry
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Release : 1972
Genre : Chemistry
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Book Synopsis Journal of Research of the National Bureau of Standards by : United States. National Bureau of Standards

Download or read book Journal of Research of the National Bureau of Standards written by United States. National Bureau of Standards. This book was released on 1972. Available in PDF, EPUB and Kindle. Book excerpt:

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