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Unformatted text preview: (a) What does the concentration c α indicated on the graph represent? (b) Determine the coordinate of the Matano interface; then calculate the diffusion coefficient by the Matano method for the concentration c = 0.2wt.%. (c) Assuming that the diffusion coefficient is constant, find the solution c(x) of Fick's second equation for the boundary conditions implied by the concentration-penetration curve. (d) Assume that the boundary of the two-phase region is displaced by a distance ξ during the time t, and that this process is diffusion-controlled, i.e. = 2 Dt , where is a constant. (i) Write the equation connecting the conservation of matter at the plane x = during the time dt to the displacement (d ) of the boundary of the two-phase region. (ii) From the equation obtained above, deduce the diffusion coefficient D. Compare this value with the one calculated by the Matano method....
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This note was uploaded on 01/19/2010 for the course MAT SCI 503 taught by Professor Chen during the Spring '02 term at Penn State.
- Spring '02