Chapter 9_Part_4

Chapter 9_Part_4 - Equilibrium (very slow) cooling 19 MSE...

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16 MSE 2090: Introduction to Materials Science Chapter 9, Phase Diagrams Derivation of the lever rule W L = (C α -C o ) / (C α -C L ) 1) All material must be in one phase or the other: W α + W L = 1 2) Mass of a component that is present in both phases equal to the mass of the component in one phase + mass of the component in the second phase: W α C α + W L C L = C o 3) Solution of these equations gives us the lever rule. W α = (C o -C L ) / (C α -C L )
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17 MSE 2090: Introduction to Materials Science Chapter 9, Phase Diagrams Phase compositions and amounts. An example. Mass fractions: W L = S / (R+S) = (C α -C o ) / (C α -C L ) = 0.68 W α = R / (R+S) = (C o -C L ) / (C α -C L ) = 0.32 C o = 35 wt. %, C L = 31.5 wt. %, C α = 42.5 wt. %
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18 MSE 2090: Introduction to Materials Science Chapter 9, Phase Diagrams Development of microstructure in isomorphous alloys
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Unformatted text preview: Equilibrium (very slow) cooling 19 MSE 2090: Introduction to Materials Science Chapter 9, Phase Diagrams Development of microstructure in isomorphous alloys Equilibrium (very slow) cooling Solidification in the solid + liquid phase occurs gradually upon cooling from the liquidus line. The composition of the solid and the liquid change gradually during cooling (as can be determined by the tie-line method.) Nuclei of the solid phase form and they grow to consume all the liquid at the solidus line. 20 MSE 2090: Introduction to Materials Science Chapter 9, Phase Diagrams Development of microstructure in isomorphous alloys Fast (non-equilibrium) cooling...
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This note was uploaded on 02/14/2012 for the course MSE 2090 taught by Professor Leoindzhiglei during the Fall '10 term at UVA.

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Chapter 9_Part_4 - Equilibrium (very slow) cooling 19 MSE...

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