The second law of thermodynamics and the global climate system : A review of the maximum entropy production principle

The long-term mean properties of the global climate system and those of turbulent fluid systems are reviewed from a thermodynamic viewpoint. Two general expressions are derived for a rate of entropy production due to thermal and viscous dissipation (turbulent dissipation) in a fluid system. It is shown with these expressions that maximum entropy production in the Earth s climate system suggested by Paltridge, as well as maximum transport properties of heat or momentum in a turbulent system suggested by Malkus and Busse, correspond to a state in which the rate of entropy production due to the turbulent dissipation is at a maximum. Entropy production due to absorption of solar radiation in the climate system is found to be irrelevant to the maximized properties associated with turbulence. The hypothesis of maximum entropy production also seems to be applicable to the planetary atmospheres of Mars and Titan and perhaps to mantle convection. Lorenz s conjecture on maximum generation of available potential energy is shown to be akin to this hypothesis with a few minor approximations. A possible mechanism by which turbulent fluid systems adjust themselves to the states of maximum entropy production is presented as a selffeedback mechanism for the generation of available potential energy. These results tend to support the hypothesis of maximum entropy production that underlies a wide variety of nonlinear fluid systems, including our planet as well as other planets and stars

A Precise Formulation of the Third Law of Thermodynamics

The third law of thermodynamics is formulated precisely: all points of the state space of zero temperature I""(0) are physically adiabatically inaccessible from the state space of a simple system. In addition to implying the unattainability of absolute zero in finite time (or ""by a finite number of operations""), it admits as corollary, under a continuity assumption, that all points of I""(0) are adiabatically equivalent. We argue that the third law is universally valid for all macroscopic systems which obey the laws of quantum mechanics and/or quantum field theory. We also briefly discuss why a precise formulation of the third law for black holes remains an open problem.

Phantom accretion by black holes and the generalized second law of thermodynamics

The accretion of a phantom fluid with non-zero chemical potential by black holes is discussed with basis on the generalized second law of thermodynamics. For phantom fluids with positive temperature and negative chemical potential we demonstrate that the accretion process is possible, and that the condition guaranteeing the positiveness of the phantom fluid entropy coincides with the one required by the generalized second law. (C) 2010 Elsevier B.V. All rights reserved.

New thought experiment to test the generalized second law of thermodynamics

We propose an extension of the original thought experiment proposed by Geroch, which sparked much of the actual debate and interest on black hole thermodynamics, and show that the generalized second law of thermodynamics is in compliance with it.

Refined second law of thermodynamics for fast random processes

We establish a refined version of the Second Law of Thermodynamics for Langevin stochastic processes describing mesoscopic systems driven by conservative or non-conservative forces and interacting with thermal noise. The refinement is based on the Monge-Kantorovich optimal mass transport and becomes relevant for processes far from quasi-stationary regime. General discussion is illustrated by numerical analysis of the optimal memory erasure protocol for a model for micron-size particle manipulated by optical tweezers.

Exergy analysis of a solar photovoltaic module

PV energy is the direct conversion of solar radiation into electricity. In this paper, an analysis of the influence of parameters such as global irradiance or temperature in the performance of a PV installation has been carried out. A PV module was installed in a building at the University of Málaga, and these parameters were experimentally determined for different days and different conditions of irradiance and temperature. Moreover, IV curves were obtained under these conditions to know the open-circuit voltage and the short-circuit current of the module. With this information, and using the first law of thermodynamics, an energy analysis was performed to determine the energy efficiency of the installation. Similarly, using the second law of thermodynamics, an exergy analysis is used to obtain the exergy efficiency. The results show that the energy efficiency varies between 10% and 12% and the exergy efficiency between 14% and 17%. It was concluded that the exergy analysis is more suitable for studying the performance, and that only electric exergy must be considered as useful exergy. This exergy efficiency can be improved if heat is removed from the PV module surface, and an optimal temperature is reached.

Entropy Production In Thermodynamic Climate Models

We present a non-equilibrium theory in a system with heat and radiative fluxes. The obtained expression for the entropy production is applied to a simple one-dimensional climate model based on the first law of thermodynamics. In the model, the dissipative fluxes are assumed to be independent variables, following the criteria of the Extended Irreversible Thermodynamics (BIT) that enlarges, in reference to the classical expression, the applicability of a macroscopic thermodynamic theory for systems far from equilibrium. We analyze the second differential of the classical and the generalized entropy as a criteria of stability of the steady states. Finally, the extreme state is obtained using variational techniques and observing that the system is close to the maximum dissipation rate

Sobre a primeira lei da termodinâmica

Entropy is a concept that has long stimulated human curiosity, resulting in an huge intelectual production. The same has not occurred for the first law of thermodynamics, perhaps because of its apparent obviousness. In this article the first law presentation, as displayed in most traditional physical chemistry textbooks, is criticized. An alternative view is suggested, in accordance with temporal thermodynamics. The time derivative local form of the second law is used to stress the entropy concept implications on the notion of internal energy.

Reflexões sobre a contribuição da Carnot à primeira lei da termodinâmica

The classical interpretations of Nicolas Léonard Sadi Carnot on some physical principles involved in the operation of heat engines were fundamental to the development and formulation of the Second Law of Thermodynamics. Moreover, an accurate historical survey clearly reveals that Carnot was, by that time, also well aware about some new concepts, which were further worked out by other scientists to lead to what was, some time later, known as the mechanical equivalent of heat and the conservation of energy. Benoit Paul Émile Clapeyron recognized these original concepts in the first of Carnot´s monographs, published in 1824, but no explicit citation is found in any post-Carnot classical texts dealing with the First Law of Thermodynamics, including those by Julius Robert Mayer, James Prescott Joule and Hermann Ludwig Ferdinand von Helmholtz. The main objective of the present work is to point out some historical evidences of the pioneering contribution of Carnot to the modern concept of the First Law of Thermodynamics.

Sobre a primeira lei da termodinâmica: as diferenciais do calor e do trabalho

We treat some subtleties concerning the First Law of Thermodynamics and discuss the inherent difficulties, namely the interpretation of the heat and the work differentials. By proposing a new differential equation for the First Law, which is written using both system and neighborhood variables, we overcome the mentioned difficulties and establish a criterion for the definition of heat and work.

Calor e trabalho: são estes conceitos invariantes sob a permuta sistema-vizinhança?

It is argued that the invariants associated to the First Law of Thermodynamics and to the concept of identical processes lead to a clear definition of heat and work. The conditions for heat and work to be invariant under a system-surroundings interchange are also investigated. Finally, examples are presented to illustrate the above conditions.

A primeira lei da termodinâmica dos processos homogêneos

Thermodynamics of homogeneous processes, which corresponds to the very special situation in thermodynamics of continuous media, is used to discuss the first law. An important part of this work is the exposition of some typical mathematical errors, frequently found in the traditional presentation of thermodynamics. The concepts of state and process functions are discussed, as well as reverse and reversible processes, temporality and its implications on thermodynamics, energy reservoirs and symmetry. Our proposal is to present the first law by using a time dependent viewpoint coherent with mechanics and the foundations of that viewpoint.

Comparação de modelos de custo dos produtos gerados em uma central de cogeração

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Modelagem e controle de uma incubadora neonatal

Este trabalho apresenta uma introdução sobre a história da neonatologia, a conceituação e a modelagem matemática do sistema térmico de uma incubadora neonatal, contendo a relação da mesma com um recém-nascido quanto a trocas térmicas, a partir da primeira lei da termodinâmica. É apresentado o método que foi utilizado para a linearização (Séries de Taylor) e os pontos de operação calculados para o sistema linear obtido no formato de espaço de estados, e a partir deste foi obtida uma representação em função de transferência. A partir da modelagem matemática do sistema, foi realizado um teste em malha aberta para verificar as características do mesmo, como estabilidade, constante de tempo e convergência para um valor final desejado, e como o sistema real opera em malha fechada, foi também realizado um teste com o sistema nesta configuração contendo um ganho unitário de malha. O comportamento do sistema não linear foi comparado ao do sistema linearizado através de suas curvas de resposta temporal a uma entrada degrau para a verificação da validade da representação linear, e após a sua validação, diagramas de bode foram gerados para diferentes parâmetros do modelo, para observar-se o efeito desta variação no comportamento dinâmico da planta, e foi percebido que o comportamento do modelo não é alterado de forma substancial para a variação dentro das faixas verificadas. Um controlador proporcional e integral (PI) foi então projetado para a eliminação do erro de regime permanente presente resposta temporal do sistema.. Testes sob diversas condições de operação foram realizados no sistema linear assim como as curvas de variação de temperatura foram obtidas com o controlador aplicado no modelo não linear, sendo os resultados considerados satisfatórios para este tipo de aplicação. Este trabalho foi realizado com o auxílio da ferramenta computacional Simulink do software Matalb®.

Metodologia para análise exergética-econômica de plantas a vapor para geração de eletricidade consumido resíduo de biomassa amazônica

A disponibilidade de recursos energéticos em um país impacta diretamente no seu desenvolvimento sócio-econômico. Com a elevação dos preços dos energéticos no Brasil, a eficientização do uso de energia tornar-se uma atividade estratégica para o setor industrial. Com esse intuito as avaliações energéticas empregadas nesse setor objetivam otimizar a eficiência dos seus sistemas térmicos. Essas avaliações de desempenho energético são baseadas na Primeira Lei da Termodinâmica e são capazes de identificar apenas as perdas de energia, diferente da avaliação exergética que permite qualificar essa energia perdida. Devido a essa análise de qualificação da energia ser sofisticada e demorada, tornar-se necessário desenvolver um protocolo que seja executado de forma rápida e que contemple as particularidades da Amazônia, tanto o clima quanto a sua biomassa. Para isto, este trabalho propõe e aplica uma metodologia através do emprego de análises energéticas, exergética e exergo-econômica em uma planta de potência a vapor instalada no Estado Pará e operando com ciclo Rankine. Com aplicação dessas avaliações obtêm-se as taxas de energia e de perdas de energia, as taxas de exergia, as taxas de destruição de exergia, as taxas de custo de cada produto e o custo monetário da capacidade energética produzida pela planta em R$/kWh. Com esses resultados foi possível identificar as maiores perdas energéticas da planta, quantificar o custo da destruição de exergia nos principais equipamentos e a taxa de custo dos produtos principais da planta que são energia térmica e energia elétrica. Isto permite visualizar o desempenho energético, exergético e econômico em cada equipamento da planta e indicar os processos que merecem um trabalho de desenvolvimento para melhorar a sua eficiência econômica. Além disso, o custo da capacidade energética em R$/kWh produzida pela planta a vapor foi comparado com o valor cobrado pela concessionária de energia local. Essa comparação mostrou que central geradora de energia tem um custo de energia menor do que o valor confrontado.