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A mathematical model for internal oxidation

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Abstract

A mathematical model for internal oxidation kinetics was developed using numerical methods (finite difference) and computer techniques. The flexibility of the model permitted analysis of semi-infinite and finite situations with planar, cylindrical, and spherical geometries for systems with various amounts of local solute enrichment. Graphical results are presented for subscale thickness as a function of time and local enrichment as a function of position in the subscale. The model is also applied to internal oxidation with a discontinuous change in surface oxygen concentration; a graphical solution encompassing a wide range of possible experimental conditions is presented. The use of the model in analyzing nonisothermal internal oxidation problems is demonstrated.

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Authors and Affiliations

  1. Department of Metallurgy and Materials Science, Case Western Reserve University, Cleveland, Ohio

    K. M. Vedula

  2. United Technologies Research Center, East Hartford, Connecticut

    A. W. Funkenbusch (Research Metallurgist)

  3. Department of Metallurgical Engineering, Michigan Technological University, Houghton, Michigan

    R. W. Heckel

Authors
  1. K. M. Vedula
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  2. A. W. Funkenbusch
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  3. R. W. Heckel
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Vedula, K.M., Funkenbusch, A.W. & Heckel, R.W. A mathematical model for internal oxidation. Oxid Met 16, 385–398 (1981). https://doi.org/10.1007/BF00611351

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  • DOI: https://doi.org/10.1007/BF00611351

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