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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
A 100-mm-long, hollow iron cylinder is exposed to a 1000C carburizing gas (a mixture of CO and CO2) at its inner and outer surfaces of radii 4.30 and 5.70 mm, respectively. Consider steady-state conditions for which carbon diffuses from the inner surface of the iron wall to the outer surface and the total transport amounts to 3.6 × 10-3 kg of carbon over 100 h. The variation of the carbon composition (weight % carbon) with radius is tabulated for selected radii.

(a) Beginning with Fick’s law and the assumption of a constant diffusion coefficient, DC-Fe, show that dρC/d (lnr) is a constant. Sketch the carbon mass density, ρC(r), as a function of lnr for such a diffusion process.
(b) The foregoing table corresponds to measured distributions of the carbon mass density. Is DC–Feconstant for this diffusion process? If not, does DC–Fe increase or decrease with an increasing carbon concentration?
(c) Using the experimental data, calculate and tabulate DC-Fe for selected carbon compositions.
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