Abstract
In Chap. 19, the authors discuss how one-dimensional solutions can be employed to determine two or three-dimensional temperature distributions, using the superposition method. They also compile formulas for calculating temperature distribution with boundary conditions of 1st, 2nd and 3rd kind. Formulas are derived for a transient temperature distribution in a plate with convective boundary conditions or a surface-set heat flux. The authors also present two computational examples that illustrate how temperature can be determined in a cylinder of a finite length and in a cuboidal steel block.
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© 2006 Springer-Verlag Berlin Heidelberg
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(2006). Multidimensional Problems. The Superposition Method. In: Solving Direct and Inverse Heat Conduction Problems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-33471-2_19
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DOI: https://doi.org/10.1007/978-3-540-33471-2_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-33470-5
Online ISBN: 978-3-540-33471-2
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