Expansion
of Horvay-Cahn Solution
Procedure:
•
Set b = P
e
•
Re-express Horvay-Cahn solution in parabolic coordinates
•
Expand in powers of
e
for fixed value of P
Find the thermal field T(
x
,
h
,
f
,
e
), interface shape
x
= f(
h
,
f
,
e
), and
Stefan number S(
e
) as functions of
e
through 2
nd
order
