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Item Details
| Title:
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CONSERVATION LAWS IN VARIATIONAL THERMO-HYDRODYNAMICS
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| By: |
Stanislaw Sieniutycz |
| Format: |
Hardback |
| List price:
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£82.00 |
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We believe that this item is permanently unavailable, and so we cannot source
it.
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| ISBN 10: |
0792328027 |
| ISBN 13: |
9780792328025 |
| Publisher: |
SPRINGER |
| Pub. date: |
30 April, 1994 |
| Edition: |
1994 ed. |
| Series: |
Mathematics and Its Applications 279 |
| Pages: |
448 |
| Description: |
This volume presents a synthesizing approach to the thermal physics of fluid continua based on an extension of Hamilton's principle which allows the free flow of entropy, independent of that of matter. Variational calculus is the basic mathematical tool used in the book. |
| Synopsis: |
This study is one of the first attempts to bridge the theoretical models of variational dynamics of perfect fluids and some practical approaches worked out in chemical and mechanical engineering in the field newly called thermo-hydrodynamics. In recent years, applied mathematicians and theoretical physicists have made significant progress in formulating analytical tools to describe fluid dynamics through variational methods. These tools are much loved by theoretists, and rightly so, because they are quite powerful and beautiful theoretical tools. Chemists, physicists and engineers, however, are limited in their ability to use these tools, because presently they are applicable only to "perfect fluids" (i. e. those fluids without viscosity, heat transfer, diffusion and chemical reactions). To be useful, a model must take into account important transport and rate phenomena, which are inherent to real fluid behavior and which cannot be ignored. This monograph serves to provide the beginnings of a means by which to extend the mathematical analyses to include the basic effects of thermo-hydrodynamics. In large part a research report, this study uses variational calculus as a basic theoretical tool, without undo compromise to the integrity of the mathematical analyses, while emphasizing the conservation laws of real fluids in the context of underlying thermodynamics --reversible or irreversible. The approach of this monograph is a new generalizing approach, based on Nother's theorem and variational calculus, which leads to the energy-momentum tensor and the related conservation or balance equations in fluids. |
| Illustrations: |
XXIII, 448 p. |
| Publication: |
Netherlands |
| Imprint: |
Springer |
| Returns: |
Returnable |
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