Abstract
In this chapter the Fourier heat conduction equation along with the boundary conditions and the initial conditions for various coordinate systems are recalled. One-dimensional heat conduction problems in Cartesian coordinates, cylindrical coordinates and spherical coordinates are treated for both the steady and the transient temperature fields. The particular problems and solutions for heat conduction in a strip, a solid cylinder, a hollow circular cylinder and a hollow sphere are presented for various boundary conditions. [See also Chap. 22.]
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Notes
- 1.
G. N. Watson, Theory of Bessel Functions (2nd ed.), Cambridge University Press, Cambridge (1944).
- 2.
see: Problem 15.11.
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© 2013 Springer Science+Business Media Dordrecht
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Eslami, R., Hetnarski, R.B., Ignaczak, J., Noda, N., Sumi, N., Tanigawa, Y. (2013). Heat Conduction. In: Theory of Elasticity and Thermal Stresses. Solid Mechanics and Its Applications, vol 197. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6356-2_15
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DOI: https://doi.org/10.1007/978-94-007-6356-2_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-6355-5
Online ISBN: 978-94-007-6356-2
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