An approach for solving an inverse spherical two-phase Stefan problem arising in modeling of electric contact phenomena
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DOI: 10.1002/mma.4649
Abstract: In this paper, amodel problem that can be used for mathematical modeling and investigation of arc phenomena in electrical contacts is considered. An analytical approach for the solution of a two-phase inverse spherical Stefan problem… read more here.
Keywords: two phase; inverse spherical; problem; stefan problem ... See more keywords
An exponentially accurate spectral reconstruction technique for the single-phase one-dimensional Stefan problem with constant coefficients
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Heat and Mass Transfer"
DOI: 10.1016/j.ijheatmasstransfer.2020.119841
Abstract: Abstract The Stefan problem represents a large class of physical phenomena ranging from heat diffusion during phase change to the shoreline movement problem. The numerical solution of the Stefan problem requires special attention to the… read more here.
Keywords: technique; spectral reconstruction; stefan problem; stefan ... See more keywords
Stefan problem coupled with natural convection: An application to dissolution process
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DOI: 10.1063/5.0150620
Abstract: This paper investigates the process of dissolution of a solute in a solvent placed in an horizontal concentric cylinder. The theoretical investigation solves a Stefan problem with phase transition due to natural convective flow. To… read more here.
Keywords: problem; dissolution; natural convection; stefan problem ... See more keywords
Solution to the 1D Stefan problem using the unified transform method
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ac1b79
Abstract: In this paper the one-dimensional two-phase Stefan problem is studied analytically leading to a system of non-linear Volterra-integral-equations describing the heat distribution in each phase. For this the unified transform method has been employed which… read more here.
Keywords: transform method; unified transform; stefan; stefan problem ... See more keywords
An Analysis of the One-Phase Stefan Problem with Variable Thermal Coefficients of Order p
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DOI: 10.3390/axioms12050497
Abstract: Approximate solutions are obtained in implicit forms for the following general form of the nonlinear Stefan problem ddx(1+δ1yp)dydx+2x(1+δ2yp)dydx=4Steβ(x),00 is a solution to the nonlinear equation y′(λ)=−2λSte, where δi>−1,i=1,2,p>0, and Ste is the Stefan number, which… read more here.
Keywords: problem; one phase; analysis one; stefan ... See more keywords
Improved Physics-Informed Neural Networks Combined with Small Sample Learning to Solve Two-Dimensional Stefan Problem
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DOI: 10.3390/e25040675
Abstract: With the remarkable development of deep learning in the field of science, deep neural networks provide a new way to solve the Stefan problem. In this paper, deep neural networks combined with small sample learning… read more here.
Keywords: neural networks; two dimensional; physics; stefan ... See more keywords