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THE EULER EQUATIONS FOR REAL FLUIDS

Sylvie Benzoni-Gavage and Denis Serre

in Multi-dimensional hyperbolic partial differential equations: First-order systems and applications

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199211234
eISBN:
9780191705700
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199211234.003.0013
Subject:
Mathematics, Applied Mathematics

This chapter discusses models for inviscid compressible fluids. It recalls the Euler equations for the conservation of mass, momentum, and energy; the equation of state, the entropy, and the ... More


Cooling real gases

Stephen J. Blundell and Katherine M. Blundell

in Concepts in Thermal Physics

Published in print:
2009
Published Online:
January 2010
ISBN:
9780199562091
eISBN:
9780191718236
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199562091.003.0027
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Chapter 26 considered how to model the properties of real gases using various corrections to the ideal gas model. This chapter uses these results to explore some of the deviations from ideal gas ... More


Statistical mechanics of an ideal gas

Stephen J. Blundell and Katherine M. Blundell

in Concepts in Thermal Physics

Published in print:
2009
Published Online:
January 2010
ISBN:
9780199562091
eISBN:
9780191718236
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199562091.003.0021
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

The partition function is a sum over all the states of a system of the relevant Boltzmann factors. Constructing the partition function is the first step to deriving all the thermodynamic properties ... More


Introduction

Stephen J. Blundell and Katherine M. Blundell

in Concepts in Thermal Physics

Published in print:
2009
Published Online:
January 2010
ISBN:
9780199562091
eISBN:
9780191718236
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199562091.003.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This introductory chapter explores the concept of large numbers, showing why large numbers appear in thermal physics and explaining how to handle them. Large numbers arise in thermal physics because ... More


Pressure

Stephen J. Blundell and Katherine M. Blundell

in Concepts in Thermal Physics

Published in print:
2009
Published Online:
January 2010
ISBN:
9780199562091
eISBN:
9780191718236
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199562091.003.0006
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter discusses pressure. One of the most fundamental variables in the study of gases is pressure. The pressure p due to a gas (or in fact any fluid) is defined as the ratio of the ... More


Elements of Gas Dynamics

Raymond Brun

in Introduction to Reactive Gas Dynamics

Published in print:
2009
Published Online:
May 2009
ISBN:
9780199552689
eISBN:
9780191720277
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199552689.003.0010
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter presents the general features of traditional gas dynamics, deduced from the ideal gas model assuming no reaction and constant specific heats. Examples are given including one-dimensional ... More


Isothermal and adiabatic processes

Stephen J. Blundell and Katherine M. Blundell

in Concepts in Thermal Physics

Published in print:
2009
Published Online:
January 2010
ISBN:
9780199562091
eISBN:
9780191718236
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199562091.003.0012
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter applies the results of the previous chapter to illustrate some properties concerning isothermal and adiabatic expansions of gases. These results will assume that the expansions are ... More


The Classical Ideal Gas

Robert H. Swendsen

in An Introduction to Statistical Mechanics and Thermodynamics

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199646944
eISBN:
9780191775123
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199646944.003.0002
Subject:
Physics, Condensed Matter Physics / Materials

This chapter defines the classical ideal gas and the representation of its microscopic states in phase space. It explains the importance of probability theory in analysing a macroscopic system, and ... More


Phase equilibria

Dennis Sherwood and Paul Dalby

in Modern Thermodynamics for Chemists and Biochemists

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198782957
eISBN:
9780191826177
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198782957.003.0015
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter extends the discussion of gas phase equilibria to phase equilibria. The central concept is the vapour pressure, and the key proof is that the criterion for phase equilibrium is the ... More


Thermodynamics

Nicholas Manton and Nicholas Mee

in The Physical World: An Inspirational Tour of Fundamental Physics

Published in print:
2017
Published Online:
July 2017
ISBN:
9780198795933
eISBN:
9780191837111
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198795933.003.0011
Subject:
Physics, Condensed Matter Physics / Materials

This chapter is about thermodynamics, or statistical mechanics, which explains macroscopic features of the world in terms of the motion of vast numbers of particles on the atomic scale. It discusses ... More


The Classical Ideal Gas

Robert H. Swendsen

in An Introduction to Statistical Mechanics and Thermodynamics

Published in print:
2019
Published Online:
February 2020
ISBN:
9780198853237
eISBN:
9780191887703
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198853237.003.0002
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

This chapter provides an introduction to an important model system in classical statistical mechanics. The classical ideal gas is defined, and it is explained why it is useful as an example in an ... More


From ideal to real

Dennis Sherwood and Paul Dalby

in Modern Thermodynamics for Chemists and Biochemists

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198782957
eISBN:
9780191826177
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198782957.003.0022
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Up to this point, the analyses throughout the book have related to ideal states – in particular, ideal gases and ideal solutions. This chapter shows how the theory developed for ideal states can be ... More


The Classical Ideal Gas:Energy-Dependence of Entropy

Robert H. Swendsen

in An Introduction to Statistical Mechanics and Thermodynamics

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199646944
eISBN:
9780191775123
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199646944.003.0006
Subject:
Physics, Condensed Matter Physics / Materials

This chapter calculates the energy dependence of the entropy of the classical ideal gas using the results for continuous random variables developed in Chapter 5.


Naked Heat: the Gas Laws and the Specific Heats of Gases

Jennifer Coopersmith

in Energy, the Subtle Concept: The discovery of Feynman's blocks from Leibniz to Einstein

Published in print:
2015
Published Online:
August 2015
ISBN:
9780198716747
eISBN:
9780191800955
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198716747.003.0010
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, History of Physics

The physics of gases leads to two advances, Dalton’s atomic theory and the emerging theory of energy. Dalton’s and Gay-Lussac’s investigations reveal the law of gas expansion and other ideal gas ... More


Classical Ensembles: Grand and Otherwise

Robert H. Swendsen

in An Introduction to Statistical Mechanics and Thermodynamics

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199646944
eISBN:
9780191775123
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199646944.003.0020
Subject:
Physics, Condensed Matter Physics / Materials

This chapter introduces the grand canonical ensemble and demonstrates how to calculate the grand canonical partition function for a classical ideal gas. One purpose of the introduction of the grand ... More


Interacting Fermi Gases and the BCS–BEC Crossover

Lev Pitaevskii and Sandro Stringari

in Bose-Einstein Condensation and Superfluidity

Published in print:
2016
Published Online:
March 2016
ISBN:
9780198758884
eISBN:
9780191818721
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198758884.003.0016
Subject:
Physics, Condensed Matter Physics / Materials

This is the first of a series of chapters devoted to interacting Fermi gases, with special focus here on the effects of superfluidity. It starts with a brief discussion of the ideal Fermi gas and ... More


The Ideal Bose Gas

Lev Pitaevskii and Sandro Stringari

in Bose-Einstein Condensation and Superfluidity

Published in print:
2016
Published Online:
March 2016
ISBN:
9780198758884
eISBN:
9780191818721
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198758884.003.0003
Subject:
Physics, Condensed Matter Physics / Materials

This chapter describes the mechanism of Bose–Einstein condensation in the simplest ideal Bose gas case. An explicit expression for the critical temperature is derived in the analytically soluble case ... More


A primer on respiratory physiology

Steven F. Perry, Markus Lambertz, and Anke Schmitz

in Respiratory Biology of Animals: evolutionary and functional morphology

Published in print:
2019
Published Online:
November 2019
ISBN:
9780199238460
eISBN:
9780191864056
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199238460.003.0003
Subject:
Biology, Animal Biology, Developmental Biology

According to the principle ‘before you can do what you want to do, you always have to do something else’, this chapter first delves into the basics of respiratory physiology. It begins with ... More


Zeroth law, equation of state

Andrew M. Steane

in Thermodynamics: A complete undergraduate course

Published in print:
2016
Published Online:
January 2017
ISBN:
9780198788560
eISBN:
9780191830426
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198788560.003.0006
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The definition of empirical temperature is carefully explained, through the use of the zeroth law of thermodynamics. The equation of state (relating temperature to other state variables) is ... More


The ideal gas

Robert T. Hanlon

in Block by Block: The Historical and Theoretical Foundations of Thermodynamics

Published in print:
2020
Published Online:
April 2020
ISBN:
9780198851547
eISBN:
9780191886133
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198851547.003.0018
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The historical origins of the ideal gas law (PV = nRT) are described in addition to theorists’ attempts to explain heat capacity.


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