Explicit Solutions For Two One-Phase Unidimensional Stefan Problems For A Non-Classical Heat Equation
Abstract
We consider two free boundary problems (one-phase non-classical unidimensional
Stefan problems) for a non classical source function F depends on the heat flux or the total heat
flux on the fixed face x = 0 . An explicit solution of a similarity type is obtained in both cases
and the behavior of the first explicit solution is studied with respect to the time t and a
dimensionless parameter λ of the system.
Stefan problems) for a non classical source function F depends on the heat flux or the total heat
flux on the fixed face x = 0 . An explicit solution of a similarity type is obtained in both cases
and the behavior of the first explicit solution is studied with respect to the time t and a
dimensionless parameter λ of the system.
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