The first book to provide a comprehensive treatment integratingfinite-time thermodynamics and optimal control, giving an overviewof important breakthroughs in the last 20 years.It presents a survey of the optimization technique, including thebasics of optimal control theory, and the principal thermodynamicconcepts and equations. In addition, it covers the solutions of avariety of finite-time thermodynamic problems, including coverageof their potential applications for the design of realtechnological processes, such as:* heat-exchange systems* mass transfer and separation processes* commodity exchange as a finite-time thermodynamic process* heat-driven mechanical processes with one or severalreservoirs.This is a key resource for chemical and mechanical engineersinvolved in power systems and process engineering. Researchers intheoretical, physical and industrial chemistry in academia and inindustry will also welcome this book for the fresh perspectivesthat offer new ways to design and analyze a wide variety ofprocesses.

Thermodynamic Optimization of Finite-Time Processes

Sieniutycz, S.

Berry, R. S.

Tsirlin, A. M.

Kazakov, V.

Szwast, Z.

Religion & Spirituality

wiley

<p>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.</p>

Conservation Laws in Variational Thermo-Hydrodynamics (Mathematics and Its Applications, 279)

Science & Math

Astronomy & Space Science

Springer

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.

Conservation Laws in Variational Thermo-Hydrodynamics (Mathematics and Its Applications)

Mathematics

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