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Titlebook: Conservation Laws in Variational Thermo-Hydrodynamics; Stanislaw Sieniutycz Book 1994 Springer Science+Business Media Dordrecht 1994 Dissi

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书目名称Conservation Laws in Variational Thermo-Hydrodynamics
编辑Stanislaw Sieniutycz
视频videohttp://file.papertrans.cn/236/235747/235747.mp4
丛书名称Mathematics and Its Applications
图书封面Titlebook: Conservation Laws in Variational Thermo-Hydrodynamics;  Stanislaw Sieniutycz Book 1994 Springer Science+Business Media Dordrecht 1994 Dissi
描述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 theore
出版日期Book 1994
关键词Dissipation; Hamilton‘s principle; convection; fluid mechanics; hydromechanics; thermodynamics; fluid- and
版次1
doihttps://doi.org/10.1007/978-94-011-1084-6
isbn_softcover978-94-010-4473-8
isbn_ebook978-94-011-1084-6
copyrightSpringer Science+Business Media Dordrecht 1994
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Design Terms and Decision Constructsthe particle trajectory regardless of the changes of other thermodynamic quantities, such as, for example, the specific internal energy e(p, s), the pressure P(p, s), etc. The constancy of the specific entropy of the definite fluid particle along its trajectory is described by the well-known equatio
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Tailored Measures of Performanceversible heat flow, which leads to a fundamental equation and extended Hamiltonian dynamics obeying the second law. We show that while in the case of the equal Onsager’s potentials this energy coincides numerically with the classical energy E, it contains an extra term (vanishing along the path) sti
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K. Yamakawa,T. Kato,J. Kawamurat description of chemical or electrochemical reaction kinetics with nonlinear resistances or conductances. Such description has been worked out only recently, and it is the key for the successful variational formulation. Therefore, prior to any variational analysis, the basic aspects of the chemical
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