Engineering > EXAM > MSE 5321 Homework 08 & Solution - University of Texas, Arlington | Phase Transformation (MSE 5321) (All)

MSE 5321 Homework 08 & Solution - University of Texas, Arlington | Phase Transformation (MSE 5321)

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Phase Transformation (MSE 5321) Homework #8 1. Prove that the continuous growth rate in solidification can be expressed as v  k1Ti (Eq. 4.26 in the textbook), where k1 has the properties of l ... iquid/solid boundary mobility and Δ Ti is the undercooling of the interface below the melting temperature - - - - - - - - - - - - See section 3.3.4 in the text book “Thermally Activated Migration of Grain Boundaries” 2. (a) Repeated surface nucleation (see Section 4.2.2. p. 198).- - - - - - - - - - - - - - - grow. tn this case, 0 2 * L r T T T T T T v m m m i         , therefore, from Eq. (1) we derived in the “Gibbs-Thomson Effect” section, we have r r T T r *    0 . Since Tc  T0  Tr , plugging these relations into Eq. (4.30) 0 * 1 ( 0 ) 1 (1 ) T r r L r K T T L r K v L V r L V        (Eq. 4.31) The maximum growth velocity is obtained by simply differentiating Equation 4.31 * max * 2 0 1 (2 1) 0 [Show More]

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