Engineering Your Future
Engineering Your Future
9th Edition
ISBN: 9780190279264
Author: William C. Oakes, Les L. Leone
Publisher: Oxford University Press, USA
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Chapter 9, Problem 9.5EAA
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Temperature (°C) 100 4. Consider the solidification of a binary Pb-10%Sn alloy. Assume that during solidification, there is complete mixing in the liquid and no diffusion in the solid. Use the phase diagram below to answer the following question. (a) Draw (on the phase diagram) the compositions of the liquid and the solid at the interface as a function of temperature during solidification. (b) Illustrate on the phase diagram how one would calculate the volume fraction solidified at a given temperature. (c) (d) Indicate the temperature at which solidification is complete. Do you expect ẞ to be present in the as-cast microstructure? Explain 300 327°C 200 a (Pb) 20 20 a + L 18.3 183°C α + β 40 60 Composition (wt% Sn) Liquid 600 500 232°C B+L 400 B 61.9 97.8 300 808 100 (Sn) 200 100 Temperature (°F)
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y(0)=1, Using Laplace transforms solve the following differential equations : 11) y"-4y+4y=0, 12) y+2y+2y=0, y(0)=2.1, y'(0) = 3.9 y'(0)=-3. 13) y+7y+12y=21e", y(0)=3.5, y'(0)=-10. 14) +9y=10e. y(0)=0, y'(0) = 0. 15) y+3y+2.25y=91³ +64, y(0)=1, y'(0) = 31.5 16) -6y+5y= 29 cos(21), y(0)=3.2, y'(0)=6.2 17) "+2y+2y=0, y(0)=0, y'(0)=1. 18) +2y+17y=0, y(0)=0, y'(0)=12. 19) y-4y+5y=0, y(0)=1, y'(0) = 2. 20) 9y-6y+y=0, y(0)=3, y'(0)=1. 21) -2y+10y=0, y(0)=3, y'(0)=3.
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