Stefan problems for the diffusion–convection equation with temperature-dependent thermal coefficients

نویسندگان

چکیده

Different one-phase Stefan problems for a semi-infinite slab are considered, involving moving phase change material as well temperature dependent thermal coefficients. Existence of at least one similarity solution is proved imposing Dirichlet, Neumann, Robin or radiative-convective boundary condition the fixed face. The velocity that arises in convective term diffusion-convection equation assumed to depend on and time. In each case, an equivalent ordinary differential problem obtained giving rise system integral coupled with parameter characterizes free boundary, which solved though double-fixed point analysis. Some solutions particular coefficients provided.

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ژورنال

عنوان ژورنال: International Journal of Non-linear Mechanics

سال: 2021

ISSN: ['1878-5638', '0020-7462']

DOI: https://doi.org/10.1016/j.ijnonlinmec.2021.103732