1-20 of 204 Search Results for

equilibrium freezing

Follow your search
Access your saved searches in your account

Would you like to receive an alert when new items match your search?
Close Modal
Sort by
Image
Published: 27 April 2016
Fig. 18 Progress of equilibrium freezing of a ternary isomorphous alloy. Adapted from Ref 3 More
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006226
EISBN: 978-1-62708-163-4
... Abstract Similar to the eutectic group of invariant transformations is a group of peritectic reactions, in which a liquid and solid phase decomposes into a solid phase on cooling through the peritectic isotherm. This article describes the equilibrium freezing and nonequilibrium freezing...
Image
Published: 01 December 1998
Fig. 15 Portion of a binary phase diagram containing a two-phase liquid-plus-solid field illustrating (a) application of the lever rule to (b) equilibrium freezing, (c) nonequilibrium freezing, and (d) heating of a homogenized sample. Source: Ref 1 More
Image
Published: 01 December 2008
Fig. 6 Schematic of eutectic phase diagram showing the solidification sequence of alloys 1, 2, and 3. Points “A 1 ,” “A 2 ,” and “A 3 ” are equilibrium freezing points for alloys 1, 2, and 3, respectively. Point “E” is the eutectic point. Point “B” is the actual temperature of initiation More
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006231
EISBN: 978-1-62708-163-4
... freezes. The final microstructure contains α, β, and γ. Isopleths are quite valuable in showing the phases that are present during equilibrium cooling and heating. They also show the temperatures at which the various phase changes occur. Fig. 5 Isopleth through hypothetical ternary phase diagram...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005215
EISBN: 978-1-62708-187-0
...), describes the difference in composition for solute i of the liquid, C L i * , and solid, C S i * , phases that would be at equilibrium at a temperature within the freezing range as given by the equilibrium tie line. (See the article “Thermodynamics and Phase Diagrams...
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006224
EISBN: 978-1-62708-163-4
... and solid coexist in equilibrium. Fig. 3 Phase diagram construction from cooling curves Very simple phase diagrams of this type can be constructed by using the appropriate points obtained from time-temperature cooling curves, which indicate where freezing began and where it was complete...
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003085
EISBN: 978-1-62708-199-3
... representing the temperatures at which the various alloys finish freezing on cooling or begin melting on heating. The phases in equilibrium across the two-phase field in Fig. 3 (the liquid and solid solutions) are called conjugate phases. Fig. 3 Binary phase diagram showing miscibility in both...
Image
Published: 01 December 2004
Fig. 4 Freezing curve of an idealized solid-solution alloy in a binary isomorphous system. (a) The solid-solution phase (α) is a homogeneous solid at all compositions in this idealized isomorphous system. (b) When the alloy solidifies under equilibrium conditions, phase compositions can More
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005226
EISBN: 978-1-62708-187-0
.... Interfacial Nonequilibrium For extremely rapid liquid-solid interface freezing rates (1 m/s velocity, or 3 ft/s), the local interfacial equilibrium assumption breaks down. Solute can be trapped into the freezing solid at levels exceeding the equilibrium value of solid for the corresponding liquid...
Series: ASM Desk Editions
Publisher: ASM International
Published: 01 December 1998
DOI: 10.31399/asm.hb.mhde2.a0003171
EISBN: 978-1-62708-199-3
... metals or semimetals in another metal. As such, they solidify over a range of temperatures. The temperature range over which solidification takes place under equilibrium conditions is found from the phase diagram. The temperature at which solidification begins is called the liquidus temperature...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005211
EISBN: 978-1-62708-187-0
... for nucleation and have a large slope for the metastable liquidus line ( Ref 3 ). Fig. 6 Schematic of eutectic phase diagram showing the solidification sequence of alloys 1, 2, and 3. Points “A 1 ,” “A 2 ,” and “A 3 ” are equilibrium freezing points for alloys 1, 2, and 3, respectively. Point “E...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005206
EISBN: 978-1-62708-187-0
... freezing temperature and therefore represents the most extreme case of solidification with microsegregation. An alloy that solidified following the Scheil path is not in equilibrium after solidification. An expression similar to Eq 15 can be obtained for the Scheil path by equating the solute...
Image
Published: 01 December 2004
, and the maximum solid solubility of element A in the lattice of element B is defined by point b . The methods of determining the equilibrium temperature ranges for solidification, fractions of phases, and compositions of phases are all similar to those illustrated for the isomorphous systems. The first element More
Series: ASM Handbook
Volume: 2A
Publisher: ASM International
Published: 30 November 2018
DOI: 10.31399/asm.hb.v02a.a0006496
EISBN: 978-1-62708-207-5
... 12 ). Local equilibrium does not appear to apply at extremely fast freezing rates. Simple calculations are demonstrated by using a slightly different form of the Scheil equation: (Eq 2) C l = C o ( 1 − f s ) k − 1 and the equation derived by Brody...
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
... Five Quinary Six Sexinary Seven Septenary Eight Octanary Nine Nonary Ten Decinary Phase diagrams are useful graphical representations that show the phases in equilibrium present in the system at various specified compositions, temperatures, and pressures. It should...
Series: ASM Handbook
Volume: 6
Publisher: ASM International
Published: 01 January 1993
DOI: 10.31399/asm.hb.v06.a0001338
EISBN: 978-1-62708-173-3
... in Fig. 1 , which shows the behavior of a pure (single component) material. Above the freezing temperature, T f , the liquid phase has the lower free energy and is therefore stable, but below T f , the solid is the stable phase. At T f , both phases are in equilibrium, that is, G l = G s...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005222
EISBN: 978-1-62708-187-0
... on solidification for these metals is in the range of 3.2 to 7.2%. The solidification shrinkage for the less closely packed body-centered cubic lattice is in the range of 2 to 3.2%. The exceptions to this general pattern are those materials that expand on freezing. These include cerium, silicon, and bismuth...
Series: ASM Handbook
Volume: 1A
Publisher: ASM International
Published: 31 August 2017
DOI: 10.31399/asm.hb.v01a.a0006319
EISBN: 978-1-62708-179-5
... precipitated, the transformation stops and a relatively constant proportion of ferrite and reacted austenite is found over a period. This cessation of ferrite formation is an incomplete reaction phenomenon that prevents the equilibrium phases from reaching minimum energies. The explanation of this phenomenon...
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006222
EISBN: 978-1-62708-163-4
... not form a homogeneous solid under equilibrium conditions; rather, they form two different solids, one rich in iron and the other rich in copper. To distinguish between these two solids, it is conventional to label them with the first two letters of the Greek alphabet, α and β. Each of the distinguishable...