16 citations · 20 across the 13 of their papers we have counts for
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Explicit solutions related to the Rubinstein binary-alloy solidification problem with a heat flux or a convective condition at the fixed face
Lucas D. Venturato, Mariela B. Cirelli, Domingo A. Tarzia
Similarity solutions for the two-phase Rubinstein binary-alloy solidification problem in a semi-infinite material are developed. These new explicit solutions are obtained by consid…
A Class of Moving Boundary Problems with a Source Term. Application of a Reciprocal Transformation
Adriana C. Briozzo, Colin Rogers, Domingo A. Tarzia
We consider a new Stefan-type problem for the classical heat equation with a latent heat and phase-change temperature depending of the variable time. We prove the equivalence of th…
Explicit solution for Stefan problem with latent heat depending on the position and a convective boundary condition at the fixed face using Kummer functions
Julieta Bollati, Domingo Alberto Tarzia
An explicit solution of a similarity type is obtained for a one-phase Stefan problem in a semi-infinite material using Kummer functions. Motivated by [D.A. Tarzia, Relationship bet…
Non-classical heat conduction problem with non local source
Mahdi Boukrouche, Domingo A. Tarzia
We consider the non-classical heat conduction equation, in the domain $D=\br^{n-1}\times\br^{+}$, for which the internal energy supply depends on an integral function in the time v…
Similarity solution for a two-phase one-dimensional Stefan problem with a convective boundary condition and a mushy zone model
Andrea N. Ceretani, Domingo A. Tarzia
A two-phase solidification process for a one-dimensional semi-infinite material is considered. It is assumed that it is ensued from a constant bulk temperature present in the vicin…
Explicit solutions for a non-classical heat conduction problem for a semi-infinite strip with a non-uniform heat source
Andrea N. Ceretani, Domingo A. Tarzia, Luis T. Villa
A non-classical initial and boundary value problem for a non-homogeneous one-dimensional heat equation for a semi-infinite material with a zero temperature boundary condition at th…