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Thermodynamics Notes
Thermodynamics Notes Steven K. Krueger Department of Atmospheric Sciences, University of Utah August 2020 Contents 1 Introduction 1 1.1 What is thermodynamics? . .1 1.2 The atmosphere . .1 2 The Equation of State 1 2.1 State variables . .1 2.2 Charles' Law and absolute temperature . .2 2.3 Boyle's Law . .3 2.4 Equation of state of an ideal gas . .3 2.5 Mixtures of gases . .4 2.6 Ideal gas law: molecular viewpoint . .6 3 Conservation of Energy 8 3.1 Conservation of energy in mechanics . .8 3.2 Conservation of energy: A system of point masses . .8 3.3 Kinetic energy exchange in molecular collisions . .9 3.4 Working and Heating . .9 4 The Principles of Thermodynamics 11 4.1 Conservation of energy and the first law of thermodynamics . 11 4.1.1 Conservation of energy . 11 4.1.2 The first law of thermodynamics . 11 4.1.3 Work . 12 4.1.4 Energy transferred by heating . 13 4.2 Quantity of energy transferred by heating . 14 4.3 The first law of thermodynamics for an ideal gas . 15 4.4 Applications of the first law . 16 4.4.1 Isothermal process . 16 4.4.2 Isobaric process . 17 4.4.3 Isosteric process . 18 4.5 Adiabatic processes . 18 5 The Thermodynamics of Water Vapor and Moist Air 21 5.1 Thermal properties of water substance . 21 5.2 Equation of state of moist air . 21 5.3 Mixing ratio . 22 5.4 Moisture variables . 22 5.5 Changes of phase and latent heats . -
Equilibrium Thermodynamics
Equilibrium Thermodynamics Instructor: - Clare Yu (e-mail [email protected], phone: 824-6216) - office hours: Wed from 2:30 pm to 3:30 pm in Rowland Hall 210E Textbooks: - primary: Herbert Callen “Thermodynamics and an Introduction to Thermostatistics” - secondary: Frederick Reif “Statistical and Thermal Physics” - secondary: Kittel and Kroemer “Thermal Physics” - secondary: Enrico Fermi “Thermodynamics” Grading: - weekly homework: 25% - discussion problems: 10% - midterm exam: 30% - final exam: 35% Equilibrium Thermodynamics Material Covered: Equilibrium thermodynamics, phase transitions, critical phenomena (~ 10 first chapters of Callen’s textbook) Homework: - Homework assignments posted on course website Exams: - One midterm, 80 minutes, Tuesday, May 8 - Final, 2 hours, Tuesday, June 12, 10:30 am - 12:20 pm - All exams are in this room 210M RH Course website is at http://eiffel.ps.uci.edu/cyu/p115B/class.html The Subject of Thermodynamics Thermodynamics describes average properties of macroscopic matter in equilibrium. - Macroscopic matter: large objects that consist of many atoms and molecules. - Average properties: properties (such as volume, pressure, temperature etc) that do not depend on the detailed positions and velocities of atoms and molecules of macroscopic matter. Such quantities are called thermodynamic coordinates, variables or parameters. - Equilibrium: state of a macroscopic system in which all average properties do not change with time. (System is not driven by external driving force.) Why Study Thermodynamics ? - Thermodynamics predicts that the average macroscopic properties of a system in equilibrium are not independent from each other. Therefore, if we measure a subset of these properties, we can calculate the rest of them using thermodynamic relations. - Thermodynamics not only gives the exact description of the state of equilibrium but also provides an approximate description (to a very high degree of precision!) of relatively slow processes. -
How You Can Become Registered As an Architectural Engineer
PDHonline Course A123 (2 PDH) How You Can Become Registered as an Architectural Engineer Instructor: J. Paul Guyer, P.E., R.A., Fellow ASCE, Fellow AEI 2012 PDH Online | PDH Center 5272 Meadow Estates Drive Fairfax, VA 22030-6658 Phone & Fax: 703-988-0088 www.PDHonline.org www.PDHcenter.com An Approved Continuing Education Provider www.PDHcenter.com PDH Course A123 www.PDHonline.org TABLE OF CONTENTS 1. The Opportunity 3 2. Some Historical Perspective 4 3. This is an Opportunity Not Just for 13 Graduates of Architectural Engineering Programs 4. This is an Opportunity for PEs Already 18 Registered in Other Disciplines 5. The Examination 20 6. Information You Need to Take 26 Into the Exam 7. Career Development 28 © J. Paul Guyer 2009 Page 2 of 29 www.PDHcenter.com PDH Course A123 www.PDHonline.org How You Can Become Registered as an Architectural Engineer J. Paul Guyer, P.E., R.A., Fellow ASCE, Fellow AEI COURSE CONTENT 1. THE OPPORTUNITY This is an opportunity for you…. This is a career enhancing opportunity for engineers interested in the design of buildings and related infrastructure. It is an opportunity for you to take a leadership position in the enterprise of designing and constructing buildings. But first, some background…. As we all know, the undertaking of design of buildings and related infrastructure is one of the most multidisciplinary activities in which engineers engage. It requires the skills, efforts and involvement of structural engineers, civil engineers, mechanical engineers, electrical engineers, fire protection engineers and traditionally trained architects. However….there has never existed a “platform” to bring these diverse skills and capabilities together in order to deliver coordinated services to the clients, companies and agencies needing a cost effective and efficient mechanism to deliver the buildings and related infrastructure they need. -
MSME with Depth in Fluid Mechanics
MSME with depth in Fluid Mechanics The primary areas of fluid mechanics research at Michigan State University's Mechanical Engineering program are in developing computational methods for the prediction of complex flows, in devising experimental methods of measurement, and in applying them to improve understanding of fluid-flow phenomena. Theoretical fluid dynamics courses provide a foundation for this research as well as for related studies in areas such as combustion, heat transfer, thermal power engineering, materials processing, bioengineering and in aspects of manufacturing engineering. MS Track for Fluid Mechanics The MSME degree program for fluid mechanics is based around two graduate-level foundation courses offered through the Department of Mechanical Engineering (ME). These courses are ME 830 Fluid Mechanics I Fall ME 840 Computational Fluid Mechanics and Heat Transfer Spring The ME 830 course is the basic graduate level course in the continuum theory of fluid mechanics that all students should take. In the ME 840 course, the theoretical understanding gained in ME 830 is supplemented with material on numerical methods, discretization of equations, and stability constraints appropriate for developing and using computational methods of solution to fluid mechanics and convective heat transfer problems. Students augment these courses with additional courses in fluid mechanics and satisfy breadth requirements by selecting courses in the areas of Thermal Sciences, Mechanical and Dynamical Systems, and Solid and Structural Mechanics. Graduate Course and Research Topics (Profs. Benard, Brereton, Jaberi, Koochesfahani, Naguib) ExperimentalResearch Many fluid flow phenomena are too complicated to be understood fully or predicted accurately by either theory or computational methods. Sometimes the boundary conditions of real-world problems cannot be analyzed accurately. -
Linear-Nonequilibrium Thermodynamics Theory for Coupled Heat and Mass Transport
University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Chemical and Biomolecular Research Papers -- Yasar Demirel Publications Faculty Authors Series 2001 Linear-nonequilibrium thermodynamics theory for coupled heat and mass transport Yasar Demirel University of Nebraska - Lincoln, [email protected] Stanley I. Sandler University of Delaware, [email protected] Follow this and additional works at: https://digitalcommons.unl.edu/cbmedemirel Part of the Chemical Engineering Commons Demirel, Yasar and Sandler, Stanley I., "Linear-nonequilibrium thermodynamics theory for coupled heat and mass transport" (2001). Yasar Demirel Publications. 8. https://digitalcommons.unl.edu/cbmedemirel/8 This Article is brought to you for free and open access by the Chemical and Biomolecular Research Papers -- Faculty Authors Series at DigitalCommons@University of Nebraska - Lincoln. It has been accepted for inclusion in Yasar Demirel Publications by an authorized administrator of DigitalCommons@University of Nebraska - Lincoln. Published in International Journal of Heat and Mass Transfer 44 (2001), pp. 2439–2451 Copyright © 2001 Elsevier Science Ltd. Used by permission. www.elsevier.comllocate/ijhmt Submitted November 5, 1999; revised September 6, 2000. Linear-nonequilibrium thermodynamics theory for coupled heat and mass transport Yasar Demirel and S. I. Sandler Center for Molecular and Engineering Thermodynamics, Department of Chemical Engineering, University of Delaware, Newark, DE 19716, USA Corresponding author — Y. Demirel Abstract Linear-nonequilibrium thermodynamics (LNET) has been used to express the entropy generation and dis- sipation functions representing the true forces and flows for heat and mass transport in a multicomponent fluid. These forces and flows are introduced into the phenomenological equations to formulate the cou- pling phenomenon between heat and mass flows. -
Thermodynamic State Variables Gunt
Fundamentals of thermodynamics 1 Thermodynamic state variables gunt Basic knowledge Thermodynamic state variables Thermodynamic systems and principles Change of state of gases In physics, an idealised model of a real gas was introduced to Equation of state for ideal gases: State variables are the measurable properties of a system. To make it easier to explain the behaviour of gases. This model is a p × V = m × Rs × T describe the state of a system at least two independent state system boundaries highly simplifi ed representation of the real states and is known · m: mass variables must be given. surroundings as an “ideal gas”. Many thermodynamic processes in gases in · Rs: spec. gas constant of the corresponding gas particular can be explained and described mathematically with State variables are e.g.: the help of this model. system • pressure (p) state process • temperature (T) • volume (V) Changes of state of an ideal gas • amount of substance (n) Change of state isochoric isobaric isothermal isentropic Condition V = constant p = constant T = constant S = constant The state functions can be derived from the state variables: Result dV = 0 dp = 0 dT = 0 dS = 0 • internal energy (U): the thermal energy of a static, closed Law p/T = constant V/T = constant p×V = constant p×Vκ = constant system. When external energy is added, processes result κ =isentropic in a change of the internal energy. exponent ∆U = Q+W · Q: thermal energy added to the system · W: mechanical work done on the system that results in an addition of heat An increase in the internal energy of the system using a pressure cooker as an example. -
Architectural Engineering (Omaha) 1
Architectural Engineering (Omaha) 1 education in each of the three option areas and provides the professional ARCHITECTURAL practice topics that architectural engineers need later in their careers. ENGINEERING (OMAHA) The MAE year features a major interdisciplinary design project. The project requires the student to practice the design skills and understanding of building systems previously developed. Student Description teams complete a significant building design in a manner that closely Website: http://engineering.unl.edu/durhamschool/architectural- simulates professional practice. Industry and faculty members serve as engineering/ consultants to the students. Typically, students enter this design into the national Architectural Engineering Institute competition. Traditionally, our The architectural engineering (BSAE) undergraduate program is a students do very well at this competition. four-year program requiring 130 credit hours. A one-year master of architectural engineering (MAE) program of 36 credits is also offered. The Career Opportunities MAE degree is accredited by ABET, and almost all of our BSAE graduates Architectural engineering graduates normally enter the building design continue to complete the MAE degree. industry and become registered professional engineers. There are about 20 accredited architectural engineering programs in the country, so there Educational Objectives is a large unfulfilled demand for engineers educated in building design. In The following are the BSAE/MAE program educational objectives (PEOs): Nebraska, the home of several large architectural and engineering design firms, this is especially true. 1. Professional Accomplishment: The AE program will prepare graduates to become licensed professional engineers a few years Architectural engineering is accredited by the EAC-ABET, Inc. The after graduation. accreditation is attached to the one-year master of architectural 2. -
Mech 673 Energy Efficient Buildings with Good Indoor Air Quality 3 Cr
MECH 673 ENERGY EFFICIENT BUILDINGS WITH GOOD INDOOR AIR QUALITY 3 CR. The course covers energy consumption standards and codes in buildings; energy conservation measures in built in environment to enhance the building’s energy efficiency while maintaining space thermal comfort and indoor air quality requirement; fundamental ventilation, indoor-air-quality, infiltration natural and mechanical ventilation, importance and impact of indoor air quality on human health and energy performance of the building air conditioning system; and ASHRAE requirement for ventilation. Particular focus will be given to green energy alternative measures. An overview of the different heating, ventilation and air conditioning system designs is covered. Performance and energy consumption of the conventional air conditioning system (constant and variable air volume) as well as the hybrid integrated air conditioning systems will be discussed and compared. The course will include several demonstrations of concept experiments. Prerequisite: MECH 310. Technical Elective. Pre-requisite: MECH 310. Textbook: Handouts. References David Etheridge, 1996. Building Ventilation: Theory and Measurement. CRC Press. Ken Parsons. 1996. Human Thermal Environments: The Effects of Hot, Moderate, and Cold Environments on Human Health, Comfort and Performance. Second Edition, CRC Press. Hazim Awbi. 2003. Ventilation of Buildings, Spon Press; 2 edition. Yuanhui Zhang. 2004. Indoor Air Quality Engineering, CRC Press. Brigittta Nordquist, 2002. Ventilation and Window Opening in Schools. PhD thesis. Lund University, Sweden. Chad Dorgan, Robert Linder, and Charles Dorgan. 1999. Indoor air Quality Standards of Performance. American Society of Heating, Refrigerating, and Air-conditioning Engineers, Inc. Sustainable Building Technical Manual: Green Building Design, Construction and Operations, Public Technology, Inc., Washington, D.C., 1996. -
Basic Thermodynamics-17ME33.Pdf
Module -1 Fundamental Concepts & Definitions & Work and Heat MODULE 1 Fundamental Concepts & Definitions Thermodynamics definition and scope, Microscopic and Macroscopic approaches. Some practical applications of engineering thermodynamic Systems, Characteristics of system boundary and control surface, examples. Thermodynamic properties; definition and units, intensive and extensive properties. Thermodynamic state, state point, state diagram, path and process, quasi-static process, cyclic and non-cyclic processes. Thermodynamic equilibrium; definition, mechanical equilibrium; diathermic wall, thermal equilibrium, chemical equilibrium, Zeroth law of thermodynamics, Temperature; concepts, scales, fixed points and measurements. Work and Heat Mechanics, definition of work and its limitations. Thermodynamic definition of work; examples, sign convention. Displacement work; as a part of a system boundary, as a whole of a system boundary, expressions for displacement work in various processes through p-v diagrams. Shaft work; Electrical work. Other types of work. Heat; definition, units and sign convention. 10 Hours 1st Hour Brain storming session on subject topics Thermodynamics definition and scope, Microscopic and Macroscopic approaches. Some practical applications of engineering thermodynamic Systems 2nd Hour Characteristics of system boundary and control surface, examples. Thermodynamic properties; definition and units, intensive and extensive properties. 3rd Hour Thermodynamic state, state point, state diagram, path and process, quasi-static -
Thermal Equilibrium State of the World Oceans
Thermal equilibrium state of the ocean Rui Xin Huang Department of Physical Oceanography Woods Hole Oceanographic Institution Woods Hole, MA 02543, USA April 24, 2010 Abstract The ocean is in a non-equilibrium state under the external forcing, such as the mechanical energy from wind stress and tidal dissipation, plus the huge amount of thermal energy from the air-sea interface and the freshwater flux associated with evaporation and precipitation. In the study of energetics of the oceanic circulation it is desirable to examine how much energy in the ocean is available. In order to calculate the so-called available energy, a reference state should be defined. One of such reference state is the thermal equilibrium state defined in this study. 1. Introduction Chemical potential is a part of the internal energy. Thermodynamics of a multiple component system can be established from the definition of specific entropy η . Two other crucial variables of a system, including temperature and specific chemical potential, can be defined as follows 1 ⎛⎞∂η ⎛⎞∂η = ⎜⎟, μi =−Tin⎜⎟, = 1,2,..., , (1) Te m ⎝⎠∂ vm, i ⎝⎠∂ i ev, where e is the specific internal energy, v is the specific volume, mi and μi are the mass fraction and chemical potential for the i-th component. For a multiple component system, the change in total chemical potential is the sum of each component, dc , where c is the mass fraction of each component. The ∑i μii i mass fractions satisfy the constraint c 1 . Thus, the mass fraction of water in sea ∑i i = water satisfies dc=− c , and the total chemical potential for sea water is wi∑iw≠ N −1 ∑()μμiwi− dc . -
[email protected]
Fundamentals of mechanical engineering [email protected] MOHAMMED ABASS ALI What is thermodynamics Thermodynamics is the branch of physics that studies the effects of temperature and heat on physical systems at the macroscopic scale. In addition, it also studies the relationship that exists between heat, work and energy. Thermal energy is found in many forms in today’s society including power generation of electricity using gas, coal or nuclear, heating water by gas or electric. THE BASICS OF THERMODYNAMICS Basic concepts Properties are Features of a system which include mass, volume, energy, pressure and temperature. Thermodynamics also considers other quantities that are not physical properties, such as mass flow rates and energy transfers by work and heat. Energy forms Fluids and solids can possess several forms of energy. All fluids possess energy due to their temperature and this is referred to as ‘internal energy’. They will also possess ‘ potential energy’ (PE) due to distance (z) above a datum level and if the fluid is moving at a velocity (v), it will also possess ‘kinetic energy’. If the fluid is pressurised, it will possess ‘flow energy’ (FE). Pressure and temperature are the two governing factors and internal energy can be added to FE to produce a single property called ‘enthalpy’. Internal energy The molecules of a fluid possess both kinetic energy (KE) and PE relative to an internal datum. Generally, this is regarded simply as the energy due to its temperature and the change in internal energy in a fluid that undergoes a temperature change is given by ΔU = mcΔT The total internal energy is denoted by the symbol ‘U’, which has values of J, kJ or MJ; also the specific internal energy ‘u’ has the values of kJ/kg. -
Statistical Thermodynamics - Fall 2009
1 Statistical Thermodynamics - Fall 2009 Professor Dmitry Garanin Thermodynamics September 9, 2012 I. PREFACE The course of Statistical Thermodynamics consist of two parts: Thermodynamics and Statistical Physics. These both branches of physics deal with systems of a large number of particles (atoms, molecules, etc.) at equilibrium. 3 19 One cm of an ideal gas under normal conditions contains NL =2.69 10 atoms, the so-called Loschmidt number. Although one may describe the motion of the atoms with the help of× Newton’s equations, direct solution of such a large number of differential equations is impossible. On the other hand, one does not need the too detailed information about the motion of the individual particles, the microscopic behavior of the system. One is rather interested in the macroscopic quantities, such as the pressure P . Pressure in gases is due to the bombardment of the walls of the container by the flying atoms of the contained gas. It does not exist if there are only a few gas molecules. Macroscopic quantities such as pressure arise only in systems of a large number of particles. Both thermodynamics and statistical physics study macroscopic quantities and relations between them. Some macroscopics quantities, such as temperature and entropy, are non-mechanical. Equilibruim, or thermodynamic equilibrium, is the state of the system that is achieved after some time after time-dependent forces acting on the system have been switched off. One can say that the system approaches the equilibrium, if undisturbed. Again, thermodynamic equilibrium arises solely in macroscopic systems. There is no thermodynamic equilibrium in a system of a few particles that are moving according to the Newton’s law.