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Search Results for Clausius-Clapeyron equation

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Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005448
EISBN: 978-1-62708-196-2
... for a particular fluid. The Clausius equation of state is expressed as: p ( ∀ − b ′ ) = m R T where: b ′ = 16 3 N π r 3 r = one-half the center-to-center distance of two colliding molecules N = number of molecules in volume V The Redlich-Kwong...
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006221
EISBN: 978-1-62708-163-4
.... age hardening allotropy alloying aluminum-copper system binary system Clausius-Clapeyron equation crystal structure Gibbs phase rule heat treatment iron-carbon phase diagram Lever rule phase diagram polymorphism solid-state transformation solidification ternary diagrams Theorem of Le...
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003085
EISBN: 978-1-62708-199-3
....) Clausius-Clapeyron Equation The theorem of Le Châtelier was quantified by Benoit Clapeyron and Rudolf Clausius to give the following equation: d P d T = Δ H t Δ V where dP/dT is the slope of the univariant lines in a PT diagram such as those shown in Fig. 2 , Δ V...
Series: ASM Handbook
Volume: 23
Publisher: ASM International
Published: 01 June 2012
DOI: 10.31399/asm.hb.v23.a0005658
EISBN: 978-1-62708-198-6
...-induce martensite as well as thermally induce martensite. The relationship between temperature and stress in governing the transformation is given by the Clausius-Clapeyron equation: (Eq 1) d σ / d T = Δ H / ε t T o where σ is the applied stress, Δ H is the latent heat...
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006223
EISBN: 978-1-62708-163-4
... As a result, Eq 16 becomes: (Eq 17) ( d P d T ) eq = Δ H T Δ V which is one form of the Clausius-Clapeyron equation. Because close-packed γ iron has a smaller molar volume than α-iron, Δ V = V mβ − V mα < 0, while Δ H = H γ − H α < 0...
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005636
EISBN: 978-1-62708-174-0
... welding. The article presents the mathematical equations of mass, momentum, energy, and species conservation. It reviews the applications of heat transfer and fluid flow models for different welding processes. Finally, the article discusses the approaches to improve reliability of, and reduce uncertainty...
Series: ASM Handbook
Volume: 5A
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.hb.v05a.a0005727
EISBN: 978-1-62708-171-9
Series: ASM Handbook
Volume: 23A
Publisher: ASM International
Published: 12 September 2022
DOI: 10.31399/asm.hb.v23A.a0006885
EISBN: 978-1-62708-392-8
... the Clausius-Clapeyron relation: (Eq 19) P sat ( T su ) = 1 + β r 2 × P atm       × exp ( M a L v R ( 1 T v − 1 T su ) ) Modeling of Free Melt Pool Surface In laser-based metal AM, the melt pool surface...
Series: ASM Handbook
Volume: 5A
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.hb.v05a.9781627081719
EISBN: 978-1-62708-171-9