The Application of Game Theory to Thermoeconomics

Author(s):  
Bradley Layton

Last year, we proposed a relationship between physical entropy, S and abstract, yet quantifiable information, I, where entropy has units of J K−1 and information has units of bits (Layton, 2010). Therein, we proposed the relation ΔS = αI, where ΔS = Smax – Smin, with Smax representing the maximum entropy generation rate of a given system, Smin representing the reduction of internal entropy of the system for a given cycle or process, and I representing the information required to perform the cycle or process. The newly introduced coefficient, α with units of J K−1 b−1 was introduced to relate a system’s ability to partition entropy via its inherent information processing capabilities (Turing, 1948). Herein we further develop this equation in an engineering context and explore the social implications of energy conservation through a lens of game theory, concluding that “sustainable” practices, rather than extending the horizon when we will consume the last of the exhaustible fuels, actually have no effect on the point in time at which fossil fuels become exhausted.

1973 ◽  
Vol 52 (3) ◽  
pp. 93
Author(s):  
J.D. Radford ◽  
D.B. Richardson

Author(s):  
David Mares

This chapter discusses the role of energy in economic development, the transformation of energy markets, trade in energy resources themselves, and the geopolitical dynamics that result. The transformation of energy markets and their expansion via trade can help or hinder development, depending on the processes behind them and how stakeholders interact. The availability of renewable, climate-friendly sources of energy, domestically and internationally, means that there is no inherent trade-off between economic growth and the use of fossil fuels. The existence of economic, political, social, and geopolitical adjustment costs means that the expansion of international energy markets to incorporate alternatives to oil and coal is a complex balance of environmental trade-offs with no solutions completely free of negative impact risk. An understanding of the supply of and demand for energy must incorporate the institutional context within which they occur, as well as the social and political dynamics of their setting.


Author(s):  
Mireia López-Bertran

This chapter explores the funerary rites in the Phoenician-Punic world from a comprehensive point of view, and it focuses on the common points arising from a large amount of data. The concern for burying their deceased and the belief in the soul’s afterlife show that the Phoenicians considered death as a transformation rather than as the end of a person’s life. Through our access to archaeological remains and written sources, we can reconstruct the existence of a meaningful burial program that was destined to provide a “good death” and afterlife. Funerary rituals, thus, are the actions or gestures to achieve this goal. The aim of this chapter is to explain the rites that family members undertook once someone died, in order to transform correctly the deceased person into an otherworldly being, the ancestor. The social implications of the data arising from burials are also briefly considered.


Author(s):  
Anupam Bhandari

Present model analyze the flow and heat transfer of water-based carbon nanotubes (CNTs) [Formula: see text] ferrofluid flow between two radially stretchable rotating disks in the presence of a uniform magnetic field. A study for entropy generation analysis is carried out to measure the irreversibility of the system. Using similarity transformation, the governing equations in the model are transformed into a set of nonlinear coupled differential equations in non-dimensional form. The nonlinear coupled differential equations are solved numerically through the finite element method. Variable viscosity, variable thermal conductivity, thermal radiation, and volume concentration have a crucial role in heat transfer enhancement. The results for the entropy generation rate, velocity distributions, and temperature distribution are graphically presented in the presence of physical and geometrical parameters of the flow. Increasing the values of ferromagnetic interaction number, Reynolds number, and temperature-dependent viscosity enhances the skin friction coefficients on the surface and wall of the lower disk. The local heat transfer rate near the lower disk is reduced in the presence of Harman number, Reynolds number, and Prandtl number. The ferrohydrodynamic flow between two rotating disks might be useful to optimize the use of hybrid nanofluid for liquid seals in rotating machinery.


2021 ◽  
Vol 0 (0) ◽  
Author(s):  
John Geanakoplos

Abstract Decision theory and game theory are extended to allow for information processing errors. This extended theory is then used to reexamine market speculation and consensus, both when all actions (opinions) are common knowledge and when they may not be. Five axioms of information processing are shown to be especially important to speculation and consensus. They are called nondelusion, knowing that you know (KTYK), nested, balanced, and positively balanced. We show that it is necessary and sufficient that each agent's information processing errors be (1) nondeluded and balanced so that the agents cannot agree to disagree, (2) nondeluded and positively balanced so that it cannot be common knowledge that they are speculating, and (3) nondeluded and KTYK and nested so that agents cannot speculate in equilibrium. Each condition is strictly weaker than the next one, and the last is strictly weaker than partition information.


Author(s):  
W Gu ◽  
Y Weng ◽  
Y Wang ◽  
B Zheng

This article describes and evaluates an organic Rankine cycle (ORC) for a waste heat recovery system by both theoretical and experimental studies. Theoretical analysis of several working fluids shows that cycle efficiency is very sensitive to evaporating pressure, but insensitive to expander inlet temperature. Second law analysis was carried out using R600a as a working fluid and a flow of hot air as a heat source, which is not isothermal, along the evaporator. The result discloses that the evaporator's internal and external entropy generation is the main source of total entropy generation. The effect of the heat source temperature, evaporating pressure, and evaporator size on the entropy generation rate is also presented. The obtained useful power is directly linked to the total entropy generation rate according to the Gouy—Stodola theorem. The ORC testing system was established and operated using R600a as a working fluid and hot water as a heat source. The maximum cycle efficiency of the testing system is 5.2 per cent, and the testing result also proves that cycle efficiency is insensitive to heat source temperature, but sensitive to evaporating pressure. The entropy result also shows that internal and external entropy of the evaporator is the main source of total entropy generation.


Author(s):  
Istvan Szabo ◽  
Mark G. Turner

Defining the thermodynamic efficiency of the wet compression process in a compressor is not trivial, since the flow in this case has multiple phases present which interact with each other. In this paper, an approach is presented that calculates the overall entropy creation and thus the isentropic efficiency of a wet compression process in a transonic compressor rotor. The viscous dissipation function is calculated everywhere in the domain in the post-processing phase of the CFD simulation and integrated to the wall, with special treatment in the near-wall regions where high rates of entropy generation occur. The isentropic efficiency of the wet compression is then determined from the entropy generation rate. Analytical integration of wall functions and numerical integration of the viscous dissipation function allows for reasonable results even with relatively coarse grids and can be applied for single-phase flows. The methodology presented is also useful to quantify the efficiency of thermodynamic processes in devices that introduce streams into the flow path, such as cooled turbines and compressors with flow control.


1948 ◽  
Vol 16 (2) ◽  
pp. 109-114
Author(s):  
Robert Weil

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