Abstract
Previous chapters were devoted to steady-state one-dimensional systems. In this chapter, analytical solution, graphical analysis, method of analogy, and numerical solutions have been presented for two-dimensional steady-state conduction heat flow through solids without heat sources. Conduction shape factor has been defined and presented for various physical systems. The presented methods have been supported by a number of numerical examples. Various techniques for the solution of nodal equations developed by finite-difference method have been given.
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Notes
- 1.
Curvilinear squares closely approximate the true squares only in the limit when their number approaches infinity. In finite form, they must be drawn such that average lengths of the opposite sides of the curvilinear squares are nearly equal and keeping internal angles close to 90°.
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© 2017 Springer Science+Business Media Singapore
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Karwa, R. (2017). Steady-State Two-Dimensional Heat Conduction. In: Heat and Mass Transfer. Springer, Singapore. https://doi.org/10.1007/978-981-10-1557-1_5
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DOI: https://doi.org/10.1007/978-981-10-1557-1_5
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-1556-4
Online ISBN: 978-981-10-1557-1
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