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- W2752790061 abstract "In this paper we consider heat transfer in a hot body with different geometries. Here, the thermal conductivity and internal heat generation are both temperature-dependent. This assumption rendered the model considered to be nonlinear. We assume that thermal conductivity is given by a power law function. We employ the preliminary group classification to determine the cases of internal heat generation for which the principal Lie algebra extends by one. Exact solutions are constructed for the case when thermal conductivity is a differential consequence of internal heat generation term. We derive the approximate numerical solutions for the cases where exact solutions are difficult to construct or are nonexistent. The effects of parameters appearing in the model on temperature profile are studied." @default.
- W2752790061 created "2017-09-15" @default.
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- W2752790061 date "2017-09-01" @default.
- W2752790061 modified "2023-09-27" @default.
- W2752790061 title "Analysis of Nonlinear Heat Transfer in Solids of Various Geometries with Variable Thermal Conductivity and Heat Source" @default.
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- W2752790061 doi "https://doi.org/10.4028/www.scientific.net/ddf.377.1" @default.
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