Integral Transforms For Heat And Fluid Flow In
Two- And Three-dimensional Porous
Author(s)
R.M. Cotta, H. Luz Neto, L.S. de B. Alves &
J.N.N. Quaresma
Abstract
Hybrid numerical-analytical algorithms, based on the generalized integral
transform technique, are developed and reviewed to handle transient two- and
three-dimensional heat and fluid flow in cavities filled with a porous material. A
general formulation and solution methodology for horizontal and vertical cavities
is developed. To illustrate the algorithm computational behavior, specific
situations are more closely considered, under the Darcy model for natural
convection in porous medium filled cavities. The problem is analyzed with and
without the time derivative term in the flow equations, using a vorticity-vector
potenti
Keywords
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