Entropy Production As a Measure for Resource Use
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On the Multi-Physics of Mass-Transfer Across Fluid Interfaces
On the multi-physics of mass-transfer across fluid interfaces Dieter Bothe Center of Smart Interfaces TU Darmstadt [email protected] Abstract Mass transfer of gaseous components from rising bubbles to the ambient liquid can be described based on continuum mechanical sharp-interface balances of mass, momentum and species mass. In this context, the stan- dard model consists of the two-phase Navier-Stokes equations for incom- pressible fluids with constant surface tension, complemented by reaction- advection-diffusion equations for all constituents, employing Fick’s law. This standard model is inconsistent with the continuity equation, the mo- mentum balance and the second law of thermodynamics. The present paper reports on the details of these severe shortcomings and provides thermodynamically consistent model extensions which are required to cap- ture various phenomena which occur due to the multi-physics of interfacial mass transfer. In particular, we provide a simple derivation of the interface Maxwell-Stefan equations which does not require a time scale separation, while the main contribution is to show how interface concentrations and interface chemical potentials mediate the influence on mass transfer of a transfer component exerted by the change in interface energy due to an adsorbing surfactant. Keywords: Soluble surfactant, interface chemical potentials, interfacial en- tropy production, interface Maxwell-Stefan equations, jump conditions, surface tension effects, high Schmidt number problem, artificial boundary conditions. Introduction The standard model for the continuum mechanical description of mass transfer across fluid interfaces is based on the incompressible two-phase Navier-Stokes equations for fluid systems without phase change. To be more precise, inside the fluid phases the governing equations are arXiv:1501.05610v1 [physics.flu-dyn] 22 Jan 2015 ∇ · v =0, (1) visc ∂t(ρv)+ ∇ · (ρv ⊗ v)+ ∇p = ∇ · S + ρg (2) with the viscous stress tensor T Svisc = η(∇v + ∇v ), (3) 1 where the material parameters depend on the respective phase. -
MATERIAL BALANCE NOTES Revision 3 Irven Rinard Department
MATERIAL BALANCE NOTES Revision 3 Irven Rinard Department of Chemical Engineering City College of CUNY and Project ECSEL October 1999 © 1999 Irven Rinard CONTENTS INTRODUCTION 1 A. Types of Material Balance Problems B. Historical Perspective I. CONSERVATION OF MASS 5 A. Control Volumes B. Holdup or Inventory C. Material Balance Basis D. Material Balances II. PROCESSES 13 A. The Concept of a Process B. Basic Processing Functions C. Unit Operations D. Modes of Process Operations III. PROCESS MATERIAL BALANCES 21 A. The Stream Summary B. Equipment Characterization IV. STEADY-STATE PROCESS MODELING 29 A. Linear Input-Output Models B. Rigorous Models V. STEADY-STATE MATERIAL BALANCE CALCULATIONS 33 A. Sequential Modular B. Simultaneous C. Design Specifications D. Optimization E. Ad Hoc Methods VI. RECYCLE STREAMS AND TEAR SETS 37 A. The Node Incidence Matrix B. Enumeration of Tear Sets VII. SOLUTION OF LINEAR MATERIAL BALANCE MODELS 45 A. Use of Linear Equation Solvers B. Reduction to the Tear Set Variables C. Design Specifications i VIII. SEQUENTIAL MODULAR SOLUTION OF NONLINEAR 53 MATERIAL BALANCE MODELS A. Convergence by Direct Iteration B. Convergence Acceleration C. The Method of Wegstein IX. MIXING AND BLENDING PROBLEMS 61 A. Mixing B. Blending X. PLANT DATA ANALYSIS AND RECONCILIATION 67 A. Plant Data B. Data Reconciliation XI. THE ELEMENTS OF DYNAMIC PROCESS MODELING 75 A. Conservation of Mass for Dynamic Systems B. Surge and Mixing Tanks C. Gas Holders XII. PROCESS SIMULATORS 87 A. Steady State B. Dynamic BILIOGRAPHY 89 APPENDICES A. Reaction Stoichiometry 91 B. Evaluation of Equipment Model Parameters 93 C. Complex Equipment Models 96 D. -
Toward Quantifying the Climate Heat Engine: Solar Absorption and Terrestrial Emission Temperatures and Material Entropy Production
JUNE 2017 B A N N O N A N D L E E 1721 Toward Quantifying the Climate Heat Engine: Solar Absorption and Terrestrial Emission Temperatures and Material Entropy Production PETER R. BANNON AND SUKYOUNG LEE Department of Meteorology and Atmospheric Science, The Pennsylvania State University, University Park, Pennsylvania (Manuscript received 15 August 2016, in final form 22 February 2017) ABSTRACT A heat-engine analysis of a climate system requires the determination of the solar absorption temperature and the terrestrial emission temperature. These temperatures are entropically defined as the ratio of the energy exchanged to the entropy produced. The emission temperature, shown here to be greater than or equal to the effective emission temperature, is relatively well known. In contrast, the absorption temperature re- quires radiative transfer calculations for its determination and is poorly known. The maximum material (i.e., nonradiative) entropy production of a planet’s steady-state climate system is a function of the absorption and emission temperatures. Because a climate system does no work, the material entropy production measures the system’s activity. The sensitivity of this production to changes in the emission and absorption temperatures is quantified. If Earth’s albedo does not change, material entropy production would increase by about 5% per 1-K increase in absorption temperature. If the absorption temperature does not change, entropy production would decrease by about 4% for a 1% decrease in albedo. It is shown that, as a planet’s emission temperature becomes more uniform, its entropy production tends to increase. Conversely, as a planet’s absorption temperature or albedo becomes more uniform, its entropy production tends to decrease. -
Appendix a Rate of Entropy Production and Kinetic Implications
Appendix A Rate of Entropy Production and Kinetic Implications According to the second law of thermodynamics, the entropy of an isolated system can never decrease on a macroscopic scale; it must remain constant when equilib- rium is achieved or increase due to spontaneous processes within the system. The ramifications of entropy production constitute the subject of irreversible thermody- namics. A number of interesting kinetic relations, which are beyond the domain of classical thermodynamics, can be derived by considering the rate of entropy pro- duction in an isolated system. The rate and mechanism of evolution of a system is often of major or of even greater interest in many problems than its equilibrium state, especially in the study of natural processes. The purpose of this Appendix is to develop some of the kinetic relations relating to chemical reaction, diffusion and heat conduction from consideration of the entropy production due to spontaneous processes in an isolated system. A.1 Rate of Entropy Production: Conjugate Flux and Force in Irreversible Processes In order to formally treat an irreversible process within the framework of thermo- dynamics, it is important to identify the force that is conjugate to the observed flux. To this end, let us start with the question: what is the force that drives heat flux by conduction (or heat diffusion) along a temperature gradient? The intuitive answer is: temperature gradient. But the answer is not entirely correct. To find out the exact force that drives diffusive heat flux, let us consider an isolated composite system that is divided into two subsystems, I and II, by a rigid diathermal wall, the subsystems being maintained at different but uniform temperatures of TI and TII, respectively. -
Thermodynamics of Manufacturing Processes—The Workpiece and the Machinery
inventions Article Thermodynamics of Manufacturing Processes—The Workpiece and the Machinery Jude A. Osara Mechanical Engineering Department, University of Texas at Austin, EnHeGi Research and Engineering, Austin, TX 78712, USA; [email protected] Received: 27 March 2019; Accepted: 10 May 2019; Published: 15 May 2019 Abstract: Considered the world’s largest industry, manufacturing transforms billions of raw materials into useful products. Like all real processes and systems, manufacturing processes and equipment are subject to the first and second laws of thermodynamics and can be modeled via thermodynamic formulations. This article presents a simple thermodynamic model of a manufacturing sub-process or task, assuming multiple tasks make up the entire process. For example, to manufacture a machined component such as an aluminum gear, tasks include cutting the original shaft into gear blanks of desired dimensions, machining the gear teeth, surfacing, etc. The formulations presented here, assessing the workpiece and the machinery via entropy generation, apply to hand-crafting. However, consistent isolation and measurement of human energy changes due to food intake and work output alone pose a significant challenge; hence, this discussion focuses on standardized product-forming processes typically via machine fabrication. Keywords: thermodynamics; manufacturing; product formation; entropy; Helmholtz energy; irreversibility 1. Introduction Industrial processes—manufacturing or servicing—involve one or more forms of electrical, mechanical, chemical (including nuclear), and thermal energy conversion processes. For a manufactured component, an interpretation of the first law of thermodynamics indicates that the internal energy content of the component is the energy that formed the product [1]. Cursorily, this sums all the work that goes into the manufacturing process from electrical to mechanical, chemical, and thermal power consumption by the manufacturing equipment. -
Introduction to Oxidation and Mass & Energy Balances
Introduction to Oxidation and Mass & Energy Balances Michael Mannuzza IT3/HWC OBG BaltimoreBaton Rouge,2014 LA 2016 Combustion • Combustion is an oxidation reaction: Fuel + O2 ---> Products of Combustion + Heat Energy • In addition to traditional burner fuels, incinerator fuel can include solid, gaseous and liquid waste. IT3/HWC • The Products of Combustion (POC) are the BaltimoreBaton primary concern from an Air Pollution Control Rouge,2014 LA 2016 (APC) perspective. Air Pollutants and Regulatory Drivers • The type of APC system required for an incinerator will be decided based on the system’s POCs and the regulatory limits mandated for specific pollutants. • Emissions of the following pollutants are typically regulated for most incinerator applications: • IT3/HWC • Dioxin/Furans NOx • Particulate Matter BaltimoreBaton • Mercury (Hg) Rouge,2014 LA • VOCs & Total Hydrocarbons 2016 • Semi-Volatile Metals (Cd, Pb) • Carbon Monoxide • Low-Volatility Metals (As, Be, Cr) • HCl & Cl2 • SOx • Others Identifying APC Requirements Three Steps: 1. Quantify anticipated POCs 2. Identify Regulatory Emission Constraints (establish abatement requirements) IT3/HWC 3. Quantify the discharge flow rate of the system. BaltimoreBaton Rouge,2014 LA 2016 Waste Feed Properties I. Begin by identifying the properties of the waste feed and quantifying the constituency of the waste: 1. Material Take-Offs 2. Proximate, Ultimate, and Ash Analysis 3. Sample & Analyze for Specific Compounds 4. Employ Other Empirical Methods PROXIMATE ANALYSIS ULTIMATE ANALYSIS ASH ANALYSIS -
1Eng -Design Basics, Mass Balance, Kinetics.Pdf
Applied chemical process Basic terms, mass balance Engineering thinking description of the industrial apparatus + description of the chemical and physical operation in the process precise formulation of the problem + design the right solution Process technology development design finish design development end of end construction of KH delivery KH Intensity Intensity year 1 Operations • Chemical processes - reactors • Mechanical processes - transport, mixing, filtration, grinding, sedimentation… • Diffusion processes - extraction, distillation, crystallization, drying • Thermal processes – coolig, warming-up, condensation, evaporation Description of the technology Maximal yield x minimum cost • Amount and composition of the products – reactants, products, waste (material balance) • Energy consumption – stream, cooling water, electrical energy, cooling air (enthalpy balance) • Industrial devices – wattage, type, dimension, output (design and check calculation) • Costs – raw materials, energy, investments, payroll (economic balance) Economic efficiency of the process • Costing and price of the product • Energy costs • Depreciation and maintenance • Cost of human work = Production costs + Corporate overhead = Complete costs + Profit = Total Price 2 Cost versus production - development of a new product 1) Old process production fall off Not simultaneously 2) Application of the modern technology Influence of capacity to the relative cost raw materials cost relative invest cost energy capacity (t/year) Type of the system – based on the exchange -
Applicability of Simple Mass and Energy Balances in Food Drum Drying
J. Basic. Appl. Sci. Res., 4(1)128-133, 2014 ISSN 2090-4304 © 2014, TextRoad Publication Journal of Basic and Applied Scientific Research www.textroad.com Applicability of Simple Mass and Energy Balances in Food Drum Drying Tomislav Jurendić Bioquanta Ltd, Dravska 17, 48000 Koprivnica, Croatia Received: November 16 2013 Accepted: December 10 2013 ABSTRACT Drum drying is one of the most important drying methods in the production of dried food. Drum dryers are robust in construction and consume huge quantity of energy. Holding the drying process under control can be of high importance for both saving the energy and reducing the costs. Mass and energy balances represent a very good basis towards efficient process control and quick estimation of the process state, as well as are unavoidable step in the design of food processes, respectively. In this work the using of simple mass and energy balances in practical industrial applications is demonstrated. KEY WORDS: baby food, drum drying, energy balance, mass balance, process calculations 1. INTRODUCTION Drum drying (Figure 1) has been widely used in food industry for drying of various liquid, semiliquid and paste-like food materials. That way, many dried food products such as milk powder, baby foods, starch, fruit and vegetables pulps, honey, malto-dextrins, yeast creams and many other food and non-food products can be produced [1-6]. The obtained dried product is porous and easy to rehydrate, ready to use [6]. As well, the manufactured dried products can be employed as semi-finished products in milk, drinking, confectionary and other industries [4]. However, the purpose of food drying is to extend shelf life of products with minimum packaging requirements and reduced shipping weights [4]. -
Removing the Mystery of Entropy and Thermodynamics – Part IV Harvey S
Removing the Mystery of Entropy and Thermodynamics – Part IV Harvey S. Leff, Reed College, Portland, ORa,b In Part IV of this five-part series,1–3 reversibility and irreversibility are discussed. The question-answer format of Part I is continued and Key Points 4.1–4.3 are enumerated.. Questions and Answers T < TA. That energy enters through a surface, heats the matter • What is a reversible process? Recall that a near that surface to a temperature greater than T, and subse- reversible process is specified in the Clausius algorithm, quently energy spreads to other parts of the system at lower dS = đQrev /T. To appreciate this subtlety, it is important to un- temperature. The system’s temperature is nonuniform during derstand the significance of reversible processes in thermody- the ensuing energy-spreading process, nonequilibrium ther- namics. Although they are idealized processes that can only be modynamic states are reached, and the process is irreversible. approximated in real life, they are extremely useful. A revers- To approximate reversible heating, say, at constant pres- ible process is typically infinitely slow and sequential, based on sure, one can put a system in contact with many successively a large number of small steps that can be reversed in principle. hotter reservoirs. In Fig. 1 this idea is illustrated using only In the limit of an infinite number of vanishingly small steps, all initial, final, and three intermediate reservoirs, each separated thermodynamic states encountered for all subsystems and sur- by a finite temperature change. Step 1 takes the system from roundings are equilibrium states, and the process is reversible. -
The Dissipative Photochemical Origin of Life: UVC Abiogenesis of Adenine
Preprints (www.preprints.org) | NOT PEER-REVIEWED | Posted: 25 January 2021 doi:10.20944/preprints202101.0500.v1 Article The Dissipative Photochemical Origin of Life: UVC Abiogenesis of Adenine Karo Michaelian Department of Nuclear Physics and Application of Radiation, Instituto de Física, Universidad Nacional Autónoma de México, Circuito Interior de la Investigación Científica, Cuidad Universitaria, Cuidad de México, C.P. 04510.; karo@fisica.unam.mx Academic Editor: Karo Michaelian Version January 21, 2021 submitted to Entropy 1 Abstract: I describe the non-equilibrium thermodynamics and the photochemical mechanisms which 2 may have been involved in the dissipative structuring, proliferation and evolution of the fundamental 3 molecules at the origin of life from simpler and more common precursor molecules under the 4 impressed UVC photon flux of the Archean. Dissipative structuring of the fundamental molecules is 5 evidenced by their strong and broad wavelength absorption bands and rapid radiationless dexcitation 6 in this wavelength region. Molecular configurations with large photon dissipative efficacy become 7 dominant through dissipative selection. Proliferation arises from the auto- and cross-catalytic nature 8 of the intermediate products. This inherent non-linearity gives rise to numerous stationary states. 9 Amplification of a molecular concentration fluctuation near a bifurcation allows evolution of the 10 concentration profile towards states of generally greater photon disspative efficacy. An example is 11 given of photochemical dissipative abiogenesis of adenine from the precursors HCN and H2O within 12 a fatty acid vesicle on a hot ocean surface, driven far from equilibrium by the impressed UVC light. 13 The kinetic equations for the photochemical reactions with diffusion are resolved under different 14 environmental conditions and the results analyzed within the framework of Classical Irreversible 15 Thermodynamic theory. -
The Dissipative Photochemical Origin of Life: UVC Abiogenesis of Adenine
entropy Article The Dissipative Photochemical Origin of Life: UVC Abiogenesis of Adenine Karo Michaelian Department of Nuclear Physics and Applications of Radiation, Instituto de Física, Universidad Nacional Autónoma de México, Circuito Interior de la Investigación Científica, Cuidad Universitaria, Mexico City, C.P. 04510, Mexico; karo@fisica.unam.mx Abstract: The non-equilibrium thermodynamics and the photochemical reaction mechanisms are described which may have been involved in the dissipative structuring, proliferation and complex- ation of the fundamental molecules of life from simpler and more common precursors under the UVC photon flux prevalent at the Earth’s surface at the origin of life. Dissipative structuring of the fundamental molecules is evidenced by their strong and broad wavelength absorption bands in the UVC and rapid radiationless deexcitation. Proliferation arises from the auto- and cross-catalytic nature of the intermediate products. Inherent non-linearity gives rise to numerous stationary states permitting the system to evolve, on amplification of a fluctuation, towards concentration profiles providing generally greater photon dissipation through a thermodynamic selection of dissipative efficacy. An example is given of photochemical dissipative abiogenesis of adenine from the precursor HCN in water solvent within a fatty acid vesicle floating on a hot ocean surface and driven far from equilibrium by the incident UVC light. The kinetic equations for the photochemical reactions with diffusion are resolved under different environmental conditions and the results analyzed within the framework of non-linear Classical Irreversible Thermodynamic theory. Keywords: origin of life; dissipative structuring; prebiotic chemistry; abiogenesis; adenine; organic molecules; non-equilibrium thermodynamics; photochemical reactions Citation: Michaelian, K. The Dissipative Photochemical Origin of MSC: 92-10; 92C05; 92C15; 92C40; 92C45; 80Axx; 82Cxx Life: UVC Abiogenesis of Adenine. -
Glossary of Glacier Mass Balance and Related Terms
The University of Manchester Research Glossary of glacier mass balance and related terms Link to publication record in Manchester Research Explorer Citation for published version (APA): Cogley, J. G., Arendt, A. A., Bauder, A., Braithwaite, R. J., Hock, R., Jansson, P., Kaser, G., Moller, M., Nicholson, L., Rasmussen, L. A., & Zemp, M. (2010). Glossary of glacier mass balance and related terms. (IHP-VII Technical Documents in Hydrology). International Hydrological Programme. Citing this paper Please note that where the full-text provided on Manchester Research Explorer is the Author Accepted Manuscript or Proof version this may differ from the final Published version. If citing, it is advised that you check and use the publisher's definitive version. General rights Copyright and moral rights for the publications made accessible in the Research Explorer are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. Takedown policy If you believe that this document breaches copyright please refer to the University of Manchester’s Takedown Procedures [http://man.ac.uk/04Y6Bo] or contact [email protected] providing relevant details, so we can investigate your claim. Download date:09. Oct. 2021 GLOSSARY OF GLACIER MASS BALANCE AND RELATED TERMS Prepared by the Working Group on Mass-balance Terminology and Methods of the International Association of Cryospheric Sciences (IACS) IHP-VII Technical Documents in Hydrology No. 86 IACS Contribution No. 2 UNESCO, Paris, 2011 Published in 2011 by the International Hydrological Programme (IHP) of the United Nations Educational, Scientific and Cultural Organization (UNESCO) 1 rue Miollis, 75732 Paris Cedex 15, France IHP-VII Technical Documents in Hydrology No.