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6 papers
Explicit solution for non-classical one-phase Stefan problem with variable thermal coefficients and two different heat source terms
Julieta Bollati, María F. Natale, José A. Semitiel +1
A one-phase Stefan problem for a semi-infinite material is investigated for special functional forms of the thermal conductivity and specific heat depending on the temperature of t…
Approximate solutions to the one-phase Stefan problem with non-linear temperature-dependent thermal conductivity
Julieta Bollati, María F. Natale, José A. Semitiel +1
In this chapter we consider different approximations for the one-dimensional one-phase Stefan problem corresponding to the fusion process of a semi-infinite material with a tempera…
Existence and uniqueness of solution for two one-phase Stefan problems with variable thermal coefficients
Julieta Bollati, María Fernanda Natale, José Abel Semitiel +1
One dimensional Stefan problems for a semi-infinite material with temperature dependent thermal coefficients are considered. Existence and uniqueness of solution are obtained impos…
Integral balance methods applied to a non-classical Stefan problem
Julieta Bollati, Maria F. Natale, Jose A. Semitiel +1
In this paper we consider two different Stefan problems for a semi-infinite material for the non classical heat equation with a source which depends on the heat flux at the fixed f…
Existence and uniqueness of the p-generalized modified error function
Julieta Bollati, María Fernanda Natale, José Abel Semitiel +1
In this paper, the p-generalized modified error function is defined as the solution to a non-linear ordinary differential problem of second order with a Robin type condition at x=0…
Heat balance integral methods applied to the one-phase Stefan problem with a convective boundary condition at the fixed face
Julieta Bollati, José A. Semitiel, Domingo A. Tarzia
In this paper we consider a one-dimensional one-phase Stefan problem corresponding to the solidification process of a semi-infinite material with a convective boundary condition at…