Abstract
An approximate solution to the problem of diffusion accompanied by an irreversible second-order reaction given using the method of moments. Simple expressions are obtained for the penetration distance the diffusion and reaction fronts at long and short times. The results are applied to obtain diffusion data from internal oxidation measurements.
Get full access to this article
View all access options for this article.
References
1.
DANKWERTS
P. V.
: Trans. Faraday Soc ., 1951 , 47 , 1014 .
2.
AMES
W. F.
: ‘Non-linear partial differential equations in engineering’, p. 242 . 1965 : New York (Academic Press) .
3.
CRANK
J.
: ‘The mathematics of diffusion’, 2nd edn . 1975 : Oxford (Clarendon Press.
4.
KATZ
S. M.
,
KUBU
E. T.
, and
WAKELIN
J. H.
Textile Res. J ., 1950 , 20 , 754 .
5.
REESE
C. E.
and
EYRING
H.
ibid ., 1950 , 20 , 743 .
6.
LLOYD
G. J.
and
MARTIN
J. W.
Met. Sci. J ., 1972 , 6 , 7 .
7.
LLOYD
G. J.
and
MARTIN
J. W.
ibid ., 1973 , 7 , 75 .
8.
LOUTHAN
M. R.
and
DEXTER
A. H.
ibid ., 1973 , 7 , 76 .
9.
ORIANI
R. A.
: Acta Metall ., 1970 , 18 , 147 .
10.
BARLOW
R.
and
GRUNDY
A R.
J. Mater. Sci ., 1969 , 4 , 797 .
11.
GOTO
S.
,
NOMAKI
K.
, and
KODA
S.
J. Jpn. Inst. Met ., 1967 , 31 , 600 .