Determination of One Unknown Thermal Coefficient through a Mushy Zone Model with a Convective Overspecified Boundary Condition
Table 2
Formulae for problem (1)ā(6) and (31). Explicit formulae for the unknown thermal coefficient , , , , , or and coefficient (or the equation that it must satisfy) and the corresponding restrictions on data that guarantee their validity.
Case
Thermal coefficient
Coefficient that characterizes the free boundary
Restrictions on data
1
2
3
,
4
Unique positive solution of , with defined by (36)
ā
5
Unique positive solution of , with defined by (36)
ā
6
Unique positive solution of , with defined by (37)