The effective thermal conductivity of reticulate porous ceramics (RPCs) is determined based on the 3D digital representation of their pore-level geometry obtained by high-resolution multiscale computer tomography. Separation of scales is identified by tomographic scans at digital resolution for the macroscopic reticulate structure and at digital resolution for the microscopic strut structure. Finite volume discretization and successive over-relaxation on increasingly refined grids are applied to solve numerically the pore-scale conduction heat transfer for several subsets of the tomographic data with a ratio of fluid-to-solid thermal conductivity ranging from to 1. The effective thermal conductivities of the macroscopic reticulate structure and of the microscopic strut structure are then numerically calculated and compared with effective conductivity model predictions with optimized parameters. For the macroscale reticulate structure, the models by Dul’nev, Miller, Bhattachary and Boomsma and Poulikakos, yield satisfactory agreement. For the microscale strut structure, the classical porosity-based correlations such as Maxwell’s upper bound and Loeb’s models are suitable. Macroscopic and microscopic effective thermal conductivities are superimposed to yield the overall effective thermal conductivity of the composite RPC material. Results are limited to pure conduction and stagnant fluids or to situations where the solid phase dominates conduction heat transfer.
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Research Papers
Tomography-Based Determination of the Effective Thermal Conductivity of Fluid-Saturated Reticulate Porous Ceramics
Jörg Petrasch,
Jörg Petrasch
Department of Mechanical and Process Engineering,
ETH Zurich
, 8092 Zurich, Switzerland
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Birte Schrader,
Birte Schrader
Department of Mechanical and Process Engineering,
ETH Zurich
, 8092 Zurich, Switzerland
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Peter Wyss,
Peter Wyss
Laboratory for Electronics/Metrology
, EMPA Material Science and Technology, 8600 Dübendorf, Switzerland
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Aldo Steinfeld
Aldo Steinfeld
Department of Mechanical and Process Engineering,
e-mail: aldo.steinfeld@eth.ch
ETH Zurich
, 8092 Zurich, Switzerland and Solar Technology Laboratory, Paul Scherrer Institute
, 5232 Villigen, Switzerland
Search for other works by this author on:
Jörg Petrasch
Department of Mechanical and Process Engineering,
ETH Zurich
, 8092 Zurich, Switzerland
Birte Schrader
Department of Mechanical and Process Engineering,
ETH Zurich
, 8092 Zurich, Switzerland
Peter Wyss
Laboratory for Electronics/Metrology
, EMPA Material Science and Technology, 8600 Dübendorf, Switzerland
Aldo Steinfeld
Department of Mechanical and Process Engineering,
ETH Zurich
, 8092 Zurich, Switzerland and Solar Technology Laboratory, Paul Scherrer Institute
, 5232 Villigen, Switzerlande-mail: aldo.steinfeld@eth.ch
J. Heat Transfer. Mar 2008, 130(3): 032602 (10 pages)
Published Online: March 6, 2008
Article history
Received:
August 30, 2006
Revised:
May 31, 2007
Published:
March 6, 2008
Citation
Petrasch, J., Schrader, B., Wyss, P., and Steinfeld, A. (March 6, 2008). "Tomography-Based Determination of the Effective Thermal Conductivity of Fluid-Saturated Reticulate Porous Ceramics." ASME. J. Heat Transfer. March 2008; 130(3): 032602. https://doi.org/10.1115/1.2804932
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