Thermodynamics of Energy Conversion and Transport

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Format: Hardcover
Pub. Date: 2000-05-01
Publisher(s): Springer Verlag
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Summary

It is becoming more and more important to manage energy resources effectively: to maximize their benefits while minimizing the negative environmental impacts. Scientist and engineers are thus faced with the problem of optimizing complex systems subject to constraints from, ecology, economics, and thermodynamics. It is chiefly to the last that the present volume is addressed. Nonequilibrium thermodynamic approaches, such as finite-time thermodynamics and Second-Law analyses, can provide realistic models and analyses that can be used to search for optimum ways to operate machines and processes. Intended for physicists, chemists, and engineers, this volume reviews the state of the art in the thermodynamics of energy conversion and transmission. Using examples from solar, thermal, mechanical, chemical, and environmental engineering, the book focuses on the use of thermodynamic criteria for optimizing energy conversion and transmission. The first set of chapters focuses on solar energy conversion; the second set discusses the transfer and conversion of chemical energy (as in internal combustion engines or distillation columns); a concluding set of chapters deals with geometric methods in thermodynamics.

Table of Contents

Preface v
List of Contributors
xv
I Conversion of Radiative Energy 1(140)
Statistical Mechanics of Solar Energy Conversion
3(11)
Introduction
3(1)
Information Theory and Statistical Mechanics
4(2)
Relative Information
5(1)
Exergy
6(1)
Benchmark: Black-Body Radiation as a Free Photon Gas
6(2)
Problems with the Black-Body Radiation Model
8(2)
Isotropy
8(1)
Energy Extraction
9(1)
Distribution Function
9(1)
Solar Energy Absorption Devices
10(1)
Photochemical Solar Energy Conversion
10(1)
Further Conversion of the Photon Energy: Losses and Efficiency
11(1)
Dissipation Mechanisms
11(1)
Maximum Efficiency and Statistical Mechanics Models
12(1)
References
12(2)
Thermodynamics of Solar Energy Conversion into Work
14(35)
Introduction
14(2)
Upper Bound Efficiencies
16(8)
Simple Upper Bounds for Black-Body Radiation Conversion
16(3)
Simple Upper Bound for Diluted Radiation Conversion
19(4)
More Accurate Simple Upper Bound Efficiency
23(1)
Terrestrial Applications
24(12)
Converting Direct Solar Radiation
24(2)
Converting Diffuse Solar Radiation
26(5)
Converting Global Solar Radiation
31(5)
Space Applications
36(7)
Solar Space Power System Model
37(2)
Classical Thermodynamic Model
39(2)
Finite-Time Thermodynamics Model
41(2)
Further Research and Studies
43(1)
References
43(6)
Thermodynamics of Photovoltaics
49(23)
Introduction
50(2)
Endoreversible Thermal Engines
52(5)
Endoreversible Chemical Engines
57(1)
Endoreversible Thermochemical Engines
58(1)
Solar Cells
59(3)
Solar Cells with Larger-than-Unity Quantum Efficiency
62(1)
Tandem Solar Cells
63(5)
Conclusion
68(1)
References
69(3)
Some Methods of Analyzing Solar Cell Efficiencies
72(34)
Introduction
72(1)
The Solar Cell Equation: Currents from Photon Fluxes
73(3)
Efficiencies in General
76(2)
Theoretical Efficiencies of a Simple Heterojunction
78(1)
Special Cases of the Simple Theory
79(2)
Homojunction with or without Impact Ionization
79(1)
Heterojunction without Impact Ionization
80(1)
Analysis of Heterojunction Cells Allowing for Impact Ionization
81(2)
The Graded Gap Solar Cell
83(10)
General
84(2)
Photon Absorption Coefficient
86(3)
Photon Emission Rates
89(1)
Solar Energy Conversion
90(3)
Thermophotovoltaic Conversion
93(7)
Definitions
93(3)
Theory of TPV Conversion
96(4)
Recent Results
100(2)
Conclusions
102(1)
References
103(3)
Solar buildings
106(35)
Finalistic Systems. Introduction
106(3)
The Geophysical Inputs
109(16)
The Incoming Solar Flux
109(8)
The Equation for TdryE
117(1)
The Equation for TwetE
118(7)
The Model of the Solar House
125(9)
General Remarks on the Model with Fixed Controls
125(7)
The Annual Control
132(2)
Backup and Adaptive Controls
134(5)
References
139(2)
II Conversion of Thermal and Chemical Energy 141(114)
Discrete Hamiltonian Analysis of Endoreversible Thermal Cascades
143(30)
Introduction: Multistage Novikov-Curzon-Ahlborn Process
143(3)
A Single Stage with the Driving Heat Flux as a Control Variable
146(3)
Applying Single-Stage Formulas to a Multistage Process
149(2)
Pontryagin's Structure of Optimal Control
151(5)
Work Maximizing in NCA Cascades by Discrete Maximum Principle
156(6)
The Hamiltonian as the Lagrange Multiplier of a Time Constraint
162(5)
Limiting Continuous Process
167(1)
Concluding Remarks
168(2)
References
170(3)
Optimal Piston Paths for Diesel Engines
173(26)
Introduction
173(2)
Model
175(5)
Combustion
177(1)
Frictional Losses
178(1)
Conductive and Convective Heat Leak
178(1)
Radiative Heat Leak
179(1)
Optimization
180(5)
Control Theory
181(2)
Stochastic Optimization
183(2)
Results
185(9)
Optimal Path
185(5)
Optimal Time of Ignition
190(4)
Conclusion
194(1)
References
195(4)
Qualitative Properties of Conductive Heat Transfer
199(40)
Theoretical Background
200(4)
Fourier's Differential Equation
200(1)
Balance of Internal Energy
200(1)
Material (Constitutive) Equations
200(1)
Transport Equation. Initial and Boundary Conditions
201(1)
Heat Conduction in Irreversible Thermodynamics
201(1)
Variational Principles
202(1)
Stationary Case
203(1)
Temperature Scales: Pictures, Kelvin's Transformation
204(1)
Consequences of the Second Law
204(2)
Heat Conductional Inequality
204(1)
Maximum Principle
205(1)
The Velocity of Propagation
206(2)
System Theory Approach
208(8)
Heat Conduction and Dynamical Systems Theory
208(1)
Principle of Superposition
208(1)
A Postulatory Approach to Stationary Heat Conduction
209(7)
Properties of the Solution of the Linear Heat Equation
216(2)
Numerical Solution of the Linear Heat Equation
218(6)
Solution of the Problem by the Fourier Method
218(1)
Finite Difference Method
218(4)
Galerkin Finite Element Method
222(2)
Properties and Their Preservation for the Discretization
224(6)
Qualitative Properties of the Numerical Solution
225(1)
Conditions for the Preservation of Qualitative Properties
226(4)
Temperature Waves
230(4)
Shape Preserving Property
230(1)
Classification of SPSFs
231(2)
Asymptotic Behavior; Stability
233(1)
References
234(5)
Energy Transfer in Particle-Surface Collisions
239(16)
Introduction
239(2)
Collision Energy Domains of Neutral and Ion Projectiles
240(1)
Neutral Particle-Surface Energy Transfer
241(3)
Translational Energy Transfer
241(2)
Rotational Energy Transfer
243(1)
Vibrational Energy Transfer
244(1)
Energy Exchange in Cluster-Surface Collisions
244(1)
Slow Ion-Surface Energy Exchange
244(8)
Neutralization of Ions at Surfaces
245(1)
Collisions of Atomic Ions with Surfaces
246(1)
Collisions of Simple Molecular Ions with Surfaces
246(1)
Collisions of Polyatomic Ions with Surfaces
247(5)
Collisions of Cluster Ions with Surfaces
252(1)
References
252(3)
III Energy in Geometrical Thermodynamics 255(77)
Geometrical Methods in Thermodynamics
257(29)
Introduction
258(1)
Contact Manifolds
259(4)
Contact Transformations and Contact Vector Fields
263(3)
Bracket Structures in Thermodynamics
266(3)
Thermodynamic Examples of Contact Flows
269(4)
Almost Contact and Contact Metric Structures
273(2)
Construction of a Contact Metric
275(3)
Statistical Derivation of G
278(2)
Relative Information and Riemannian Metric
280(4)
References
284(2)
From Statistical Distances to Minimally Dissipative Processes
286(33)
Introduction
286(1)
Empirical Statistical Distance
287(5)
Optimum Calibration
288(1)
Naive Optimum Control
289(1)
More Parameters
290(2)
Theory of Statistical Distance
292(3)
Classical Statistics
292(1)
Quantum Statistics
293(2)
Riemannian Geometry
295(4)
Parameterized Statistics
295(1)
From Gibbs Statistics to Thermodynamics
296(3)
Relevance of Riemannian Geometry in Thermodynamics
299(13)
A Covariant Fluctuation Theory
300(1)
Entropy Production
301(1)
The Metric as a Symmetric Product
302(1)
The Group of Transformations
303(1)
Dissipation in a Small Equilibration
304(1)
The Discrete Horse-Carrot Theorem
304(2)
The Continuous Horse-Carrot Theorem
306(4)
Cooling Rates for Simulated Annealing
310(2)
Staged Steady Flow Processes
312(3)
Dissipation in a Distillation Column
312(3)
Conclusions
315(1)
References
315(4)
Distillation by Thermodynamic Geometry
319(13)
Introduction
319(1)
Thermodynamic Length
320(1)
Optimization of a Step Process
321(1)
A Classical Distillation Column
322(2)
Optimal Temperature Profile
324(5)
Example
329(1)
References
330(2)
Index 332

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