Cellular and Porous Materials 2008
DOI: 10.1002/9783527621408.ch6
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Modeling of Composite Heat Transfer in Open‐Cellular Porous Materials at High Temperatures

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Cited by 17 publications
(34 citation statements)
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“…The flash back limits of other porous plates are not presented here because their limits are greater than 0.8, in which it is the maximal condition for operating in the present experiment. From the flash back conditions, it can be discussed that the prominent physical properties of the open-cellular porous materials (14) , particularly optical thickness τ 0 (extinction coefficient β * ) for the Ni-Cr #3 and #5 porous materials are higher than the Ni-Cr #1 by three and six times respectively, sufficiently contributed the radiative transfer within porous burner that is the reason why the combustion for those burner still stabilized in spite of the equivalence ratios are over than 0.8. Agreement between the predicted results and the experimental ones is satisfactory.…”
Section: Resultsmentioning
confidence: 99%
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“…The flash back limits of other porous plates are not presented here because their limits are greater than 0.8, in which it is the maximal condition for operating in the present experiment. From the flash back conditions, it can be discussed that the prominent physical properties of the open-cellular porous materials (14) , particularly optical thickness τ 0 (extinction coefficient β * ) for the Ni-Cr #3 and #5 porous materials are higher than the Ni-Cr #1 by three and six times respectively, sufficiently contributed the radiative transfer within porous burner that is the reason why the combustion for those burner still stabilized in spite of the equivalence ratios are over than 0.8. Agreement between the predicted results and the experimental ones is satisfactory.…”
Section: Resultsmentioning
confidence: 99%
“…In the present calculations, the above-mentioned important parameters have used from the experiment as discussed thoroughly in Ref. (14). In fact, when using data of experimental properties in the predicted model of the porous burners, it can be expected that significant errors may be introduced as summarized in Ref.…”
Section: Theoretical Analysismentioning
confidence: 99%
“…( ) The aluminum thermophysical properties, denoted with the subscript Al, are evaluated at 400 K. It should be noted that the thermal conductivity relationship for the foam is taken from [22,23], since it has been demonstrated that a weighted average or a series model is not accurate enough [24,25]. Density and heat capacity, respectively Eqs.…”
Section: Resultsmentioning
confidence: 99%
“…To evaluate the radiative transports within open-cellular porous materials, the P 1 method has been successfully employed in previous studies [7][8][9], so that we adopt this method for evaluating G and q Rx . The P 1 equations are written as…”
Section: Governing Equationsmentioning
confidence: 99%
“…Regarding Fig. 2, the following assumptions are introduced for the present analysis: 1) a high-temperature gas, which is air in the present study, is normally passing through an open-cellular porous plate of a geometrical thickness x 0 , the porosity ϕ and the nominal cell diameter D n , and flow-line of the system is considered in one-dimension; 2) the mass flow rate ρ f u f is constant everywhere; 3) conduction through the fluid and solid phases is taken into account; 4) the fluid is transparent to all radiation, while the porous plate can emit, absorb and anisotropically scatter thermal radiation; 5) the external radiation is coming from the upstream and downstream regions of the porous plate and their intensities can be quantitatively represented using equivalent blackbody temperatures; 6) the radiative properties of the porous plate are considered to be gray [2,5,9,10]; 7) the thermal and radiative properties of the gas and porous plates depend only on the temperature. Under these assumptions, the law of conservation of energy for each phase yields the following expressions:…”
Section: Governing Equationsmentioning
confidence: 99%