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Relationship between Neumann solutions for two-phase Lamé-Clapeyron-Stefan problems with convective and temperature boundary conditions
(Vinca Inst Nuclear Sci, 2017-01)
We obtain for the two-phase Lamé-Clapeyron-Stefan problem for a semi-infinite material an equivalence between the temperature and convective boundary conditions at the fixed face in the case that an inequality for the ...
Adapting a Fourier pseudospectral method to Dirichlet boundary conditions for Rayleigh–Bénard convection
(2015)
We present the adaptation to non–free boundary conditions of a pseudospectral method based on the (complex) Fourier transform. The method is applied to the numerical integration of the Oberbeck–Boussinesq equations in a ...
Adapting a Fourier pseudospectral method to Dirichlet boundary conditions for Rayleigh-Bénard convection
(Papers in Physics, 2015-09)
We present the adaptation to non-free boundary conditions of a pseudospectral method based on the (complex) Fourier transform. The method is applied to the numerical integration of the Oberbeck-Boussinesq equations in a ...
Exact solution for a two-phase Stefan problem with variable latent heat and a convective boundary condition at the fixed face
(Birkhauser Verlag Ag, 2018-03-02)
Recently, in Tarzia (Thermal Sci 21A:1–11, 2017) for the classical two-phase Lamé–Clapeyron–Stefan problem an equivalence between the temperature and convective boundary conditions at the fixed face under a certain restriction ...
Stefan problems for the diffusion-convection equation with temperature-dependent thermal coefficients
(Pergamon-Elsevier Science Ltd, 2021-09)
Different one-phase Stefan problems for a semi-infinite slab are considered, involving a moving phase change material as well as temperature dependent thermal coefficients. Existence of at least one similarity solution is ...
One-Phase Stefan-Like Problems with Latent Heat Depending on the Position and Velocity of the Free Boundary and with Neumann or Robin Boundary Conditions at the Fixed Face
(Hindawi Publishing Corporation, 2018-08)
A one-phase Stefan-type problem for a semi-infinite material which has as its main feature a variable latent heat that depends on the power of the position and the velocity of the moving boundary is studied. Exact solutions ...
A free boundary problem for a diffusion–convection equation
(Pergamon-Elsevier Science Ltd, 2020-04)
One-dimensional free boundary problem for a nonlinear diffusion - convection equation with a Dirichlet condition at fixed face x=0, variable in time, is considered. Throught several transformations the problem is reduced ...
Explicit Solution for the one-phase Stefan problem with latent heat depending on the position and a convective boundary condition at the fixed face
(Dynamic Publishers, Inc, 2018-03)
An explicit solution of a similarity type is obtained for a one-phase Stefan problem in a semi-infinite material using Kummer functions. Itis considered a phase-change problem with a latent heat defined as a powerfunction ...
Determination of One Unknown Thermal Coefficient through a Mushy Zone Model with a Convective Overspecified Boundary Condition
(Hindawi Publishing Corporation, 2015-06)
A semi-infinite material under a solidification process with the Solomon-Wilson-Alexiades mushy zone model with a heat flux condition at the fixed boundary is considered. The associated free boundary problem is overspecified ...
Convective boundary layer characterization in the Amazon rainforest before and after the passage of Mesoscale convective systemsCaracterização da camada limite convectiva na floresta amazônica antes e depois da passagem de sistemas convectivos de mesoescala
(Universidade Federal de Santa Maria, 2020)