Non-Equilibrium Thermodynamics : : Entropy, Heat and Mass Transfer / / Michael Bestehorn.
Transport and diffusion processes are central in numerous scientific and technical applications. Prominent examples are the temperature distribution in continuous media, the flow of liquids or gases, the dynamics of reaction-diffusion systems, or the concentration distributions in mixtures. The theo...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2024] ©2024 |
Year of Publication: | 2024 |
Language: | English |
Series: | De Gruyter Textbook
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Physical Description: | 1 online resource (XVI, 230 p.) |
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Bestehorn, Michael, author. aut http://id.loc.gov/vocabulary/relators/aut Non-Equilibrium Thermodynamics : Entropy, Heat and Mass Transfer / Michael Bestehorn. Berlin ; Boston : De Gruyter, [2024] ©2024 1 online resource (XVI, 230 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Textbook Frontmatter -- Preface -- Contents -- Part I: Phenomenological thermodynamics -- Introduction -- 1 Equilibrium thermodynamics: a brief summary -- 2 Out of thermal equilibrium -- 3 Transport equations -- 4 Diffusion -- 5 Diffusion and reaction -- 6 Diffusion and transport -- Part II: Kinetic gas theory -- Introduction -- 7 Many particles and probability distribution -- 8 The Boltzmann equation -- 9 Transport equations -- A Constants, material properties, and units -- B Gaussian integrals -- C Theorems and relations from vector calculus -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Transport and diffusion processes are central in numerous scientific and technical applications. Prominent examples are the temperature distribution in continuous media, the flow of liquids or gases, the dynamics of reaction-diffusion systems, or the concentration distributions in mixtures. The theoretical and numerical description of these systems is based on partial differential equations. The theory of non-equilibrium thermodynamics provides a frame to derive these equations from basic conservation laws and first principles. The first part of the textbook discusses the concept of equilibrium thermodynamics and its generalization to systems in local equilibrium. Thermodynamic fluxes are defined and caused by generalized forces. Finally, linear relations, the Onsager relations, between fluxes and forces allow for a closed description. In this way, conservation equations for mass (continuity), momentum (Euler or Navier-Stokes), and energy (temperature) are derived and solved analytically or numerically for several examples. The second part is based on the kinetic gas theory describing a classical many particle system. At the example of a perfect gas the conservation equations derived phenomenologically in the first part are thereby put on statistical grounds. The textbook addresses advanced Bachelor or Master students of physics, mechanical engineering and applied mathematics. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Jun 2024) Boltzmann-Gleichung. Kinetische Gastheorie. Onsager-Beziehungen und Nichtgleichgewichtsthermodynamik. Strömungsdynamik. Verbreitungs- und Transportprobleme. SCIENCE / Mechanics / Thermodynamics. bisacsh Boltzmann equation. Diffusion and transport problems. Fluid dynamics. Kinetic gas theory. Onsager relations and nonequilibrium thermodynamics. EPUB 9783110794199 print 9783110794045 https://doi.org/10.1515/9783110794137 https://www.degruyter.com/isbn/9783110794137 Cover https://www.degruyter.com/document/cover/isbn/9783110794137/original |
language |
English |
format |
eBook |
author |
Bestehorn, Michael, Bestehorn, Michael, |
spellingShingle |
Bestehorn, Michael, Bestehorn, Michael, Non-Equilibrium Thermodynamics : Entropy, Heat and Mass Transfer / De Gruyter Textbook Frontmatter -- Preface -- Contents -- Part I: Phenomenological thermodynamics -- Introduction -- 1 Equilibrium thermodynamics: a brief summary -- 2 Out of thermal equilibrium -- 3 Transport equations -- 4 Diffusion -- 5 Diffusion and reaction -- 6 Diffusion and transport -- Part II: Kinetic gas theory -- 7 Many particles and probability distribution -- 8 The Boltzmann equation -- 9 Transport equations -- A Constants, material properties, and units -- B Gaussian integrals -- C Theorems and relations from vector calculus -- Bibliography -- Index |
author_facet |
Bestehorn, Michael, Bestehorn, Michael, |
author_variant |
m b mb m b mb |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Bestehorn, Michael, |
title |
Non-Equilibrium Thermodynamics : Entropy, Heat and Mass Transfer / |
title_sub |
Entropy, Heat and Mass Transfer / |
title_full |
Non-Equilibrium Thermodynamics : Entropy, Heat and Mass Transfer / Michael Bestehorn. |
title_fullStr |
Non-Equilibrium Thermodynamics : Entropy, Heat and Mass Transfer / Michael Bestehorn. |
title_full_unstemmed |
Non-Equilibrium Thermodynamics : Entropy, Heat and Mass Transfer / Michael Bestehorn. |
title_auth |
Non-Equilibrium Thermodynamics : Entropy, Heat and Mass Transfer / |
title_alt |
Frontmatter -- Preface -- Contents -- Part I: Phenomenological thermodynamics -- Introduction -- 1 Equilibrium thermodynamics: a brief summary -- 2 Out of thermal equilibrium -- 3 Transport equations -- 4 Diffusion -- 5 Diffusion and reaction -- 6 Diffusion and transport -- Part II: Kinetic gas theory -- 7 Many particles and probability distribution -- 8 The Boltzmann equation -- 9 Transport equations -- A Constants, material properties, and units -- B Gaussian integrals -- C Theorems and relations from vector calculus -- Bibliography -- Index |
title_new |
Non-Equilibrium Thermodynamics : |
title_sort |
non-equilibrium thermodynamics : entropy, heat and mass transfer / |
series |
De Gruyter Textbook |
series2 |
De Gruyter Textbook |
publisher |
De Gruyter, |
publishDate |
2024 |
physical |
1 online resource (XVI, 230 p.) Issued also in print. |
contents |
Frontmatter -- Preface -- Contents -- Part I: Phenomenological thermodynamics -- Introduction -- 1 Equilibrium thermodynamics: a brief summary -- 2 Out of thermal equilibrium -- 3 Transport equations -- 4 Diffusion -- 5 Diffusion and reaction -- 6 Diffusion and transport -- Part II: Kinetic gas theory -- 7 Many particles and probability distribution -- 8 The Boltzmann equation -- 9 Transport equations -- A Constants, material properties, and units -- B Gaussian integrals -- C Theorems and relations from vector calculus -- Bibliography -- Index |
isbn |
9783110794137 9783110794199 9783110794045 |
url |
https://doi.org/10.1515/9783110794137 https://www.degruyter.com/isbn/9783110794137 https://www.degruyter.com/document/cover/isbn/9783110794137/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
530 - Physics |
dewey-ones |
536 - Heat |
dewey-full |
536.7 |
dewey-sort |
3536.7 |
dewey-raw |
536.7 |
dewey-search |
536.7 |
doi_str_mv |
10.1515/9783110794137 |
work_keys_str_mv |
AT bestehornmichael nonequilibriumthermodynamicsentropyheatandmasstransfer |
status_str |
n |
ids_txt_mv |
(DE-B1597)624815 |
carrierType_str_mv |
cr |
is_hierarchy_title |
Non-Equilibrium Thermodynamics : Entropy, Heat and Mass Transfer / |
_version_ |
1803334527554158592 |
fullrecord |
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