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|Title: ||Modelling the pore level heat transfer in porous media using the immersed boundary method|
|Authors: ||Malico, Isabel|
Ferreira de Sousa, Paulo J. S. A.
|Keywords: ||Immersed boundary method|
Compact finite differences
Ordered porous media
|Issue Date: ||2015|
|Publisher: ||Trans Tech Publications Inc.|
|Citation: ||Malico, I., Ferreira de Sousa, P. J. S. A (2015). Modelling the pore level heat transfer in porous media using the immersed boundary method. In: Delgado, J. M. P. Q. (Ed.), Heat and Mass Transfer Processes: New Developments and Applications, Diffusion Foundation, 3, Trans Tech Publications Inc., Pfaffikon, pp. 63-85, DOI: 10.4028/www.scientific.net/DF.3. ISSN: 2296-3642|
|Abstract: ||This work presents the extension of a compact finite difference immersed boundary method for the detailed calculation of fluid flow and heat transfer in porous media. The unsteady incompressible Navier-Stokes and energy conservation equations are solved with fourth-order Runge-Kutta temporal discretization and fourth-order compact schemes for spatial discretization, which allows achieving highly accurate calculations. Verification proves that the method is higher than third-order accurate. Three test cases were used for the validation of the method: (i) isothermal flow around a square cylinder in a plane parallel channel, (ii) isothermal flow through an infinite row of square cylinders and iii) flow and heat transfer around a square cylinder in a plane parallel channel. The validation tests establish confidence in the application of the method to porous media. As an example of such an application, direct numerical simulations are conducted for a staggered array of equal size square cylinders. Although the problem is rather complex from the geometrical point of view, a Cartesian grid is employed, with all its advantages. The potential of applying an immersed boundary method to the solution of a multiphase problem with complex internal
boundaries is demonstrated.|
|Appears in Collections:||FIS - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica|
CEM - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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