Abstract
In this chapter the solution of the equations governing a problem of steady free convection in porous media in two dimensions is analysed using a novel technique based on a Laplacian decomposition. This results in the need to solve three Laplace’s equations for the temperature and two other auxiliary harmonic functions which arise from the ideas of Goursat decomposition, whilst using a finite difference approach requires the evaluation of the gradient of the temperature inside the domain. These equations, which become coupled through the boundary conditions, are numerically solved using the boundary element method (BEM).
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© 2004 Springer Science+Business Media Dordrecht
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Curteanu, A., Ingham, D.B., Elliott, L., Lesnic, D. (2004). Laplacian Decomposition of Steady Free Convection in Porous Media. In: Ingham, D.B., Bejan, A., Mamut, E., Pop, I. (eds) Emerging Technologies and Techniques in Porous Media. NATO Science Series, vol 134. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0971-3_7
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DOI: https://doi.org/10.1007/978-94-007-0971-3_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-1874-9
Online ISBN: 978-94-007-0971-3
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