Abstract
In one-dimensional problems, it is possible to obtain analytical solutions for a variety of problems. In two or more dimensions, obtaining analytical solutions generally is not possible. Under some circumstances, transformation of coordinates or use of conformal mapping techniques of complex variable theory permits solution in terms of shape factors. Some simple cases can be treated by separation of variables and Fourier series. In general, when dealing with multiple dimensions, one should be prepared to apply numerical procedures.
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© 1986 Plenum Press, New York
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Becker, M. (1986). Steady-State Conduction in more than One Dimension. In: Heat Transfer. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1256-7_4
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DOI: https://doi.org/10.1007/978-1-4684-1256-7_4
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-1258-1
Online ISBN: 978-1-4684-1256-7
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