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Material Type: Exam; Professor: Kim; Class: PHASE TRANSFORMATIONS IN MATERIAL PROCESSING; Subject: Materials Engineering; University: Auburn University - Main Campus; Term: Spring 2010;
Typology: Exams
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fraction. The interdiffusion coefficient ( D = X DB A + X DA B ) was determined to be 5.5x10- cm 2 /sec and ∂ X (^) A / ∂ x = 2.44 cm -1^. Experimentally it has been determined that the markers move
in a manner described by the following equation:
2 x (^) t = K
where K is a constant, x is the distance moved by the markers from the Matano interface, and t is the diffusion time. For XA = 0.65 and 50 hours diffusion time, x = 0.01 cm.
(a) What is the velocity of the markers in cm/sec? (b) Determine the numerical values of the intrinsic diffusion coefficients DA and DB. Note that the
velocity of the markers in terms of diffusion constants can be expressed by (^ A B )^ A
v D D X
Marker
r
Nucleation rate (I)