Heat conduction in spheres packed in an infinite regular cubical array

Cunningham, M.E.; Peddicord, K.L.

doi:10.1016/0017-9310(81)90157-5

Cited by 50 publications

(23 citation statements)

References 2 publications

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“…The standard deviation for the expected b value can be attributed to the fact that the particles may have a shape other than spherical (in fact, they are hexagonal nanocrystallites, wurzite phase) 14 as stated by Parott and Stuckes. 20 According to these and other authors, [21][22][23][24] for porous solid materials b can be considered as a structural value for which various values can be found experimentally. The same should be true for other kind of composite materials such as nanofluids.…”

Section: Resultsmentioning

confidence: 99%

Thermal Characterization of ZnO-DMSO (Dimethyl Sulfoxide) Colloidal Dispersions Using the Inverse Photopyroelectric Technique

2009

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Nanofluids, i.e., colloidal dispersions of nanoparticles in a base liquid (solvent), have received considerable attention in the last years due to their potential applications. One attractive feature of these systems is that their thermal conductivity can exceed the corresponding values of the base fluid and of the fluid with large particles of the same chemical composition. However, there is a lack of agreement between published results and the suggested mechanisms which explain the thermal conductivity enhancement. Here we show the possibilities of the inverse photopyroelectric method for the determination of the effective thermal effusivity of the system constituted by small ZnO nanoparticles dispersed in dimethyl sulfoxide, as a function of the nanoparticles volumetric fraction. Using a phenomenological model we estimated the thermal conductivity of these colloidal samples without observing any significant enhancement of this parameter above effective medium predictions.

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Section: Resultsmentioning

confidence: 99%

Thermal Characterization of ZnO-DMSO (Dimethyl Sulfoxide) Colloidal Dispersions Using the Inverse Photopyroelectric Technique

2009

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“…The challenges in modeling complex materials come mainly from the inherent variety and randomness of their internal microstructures, and the coupling between the components of different phases. In literature, several attempts have been made to develop expressions for effective thermal conductivity of two-phase materials by various researchers such as, Maxwell [1], Lewis and Nielsen [2], Cunningham and Peddicord [3], Torquato [4], Hadley [5], Agari and Uno [6], Misra et al [7], Singh and Kasana [8], and Verma et al [9]. Lewis and Nielsen [2] reported a semi-empirical model incorporating the effect of the shape and the orientation of particles or, the type of packing for a two-phase system.…”

Section: Introductionmentioning

confidence: 99%

Non-Linear Effect of Volume Fraction of Inclusions on The Effective Thermal Conductivity of Composite Materials: A Modified Maxwell Model

Kumar¹,

Bhoopal²,

Sharma³

et al. 2011

OJCM

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In this paper, non-linear dependence of volume fraction of inclusions on the effective thermal conductivity of composite materials is investigated. Proposed approximation formula is based on the Maxwell's equation, in that a non-linear term dependent on the volume fraction of the inclusions and the ratio of the thermal conductivities of the polymer continuum and inclusions is introduced in place of the volume fraction of inclusions. The modified Maxwell's equation is used to calculate effective thermal conductivity of several composite materials and agreed well with the earlier experimental results. A comparison of the proposed relation with different models has also been made.

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“…A plot of the blister threshold data for representative plate type fuels is shown in Figure 21. 22 At the end of irradiation the AFIP-6 fuel plates were estimated to reach fission densities greater than 3u10 21 f/cc with peaks as high as ~3.5u10 21 f/cc. At this fission density blistering could be anticipated to occur in regions of the fuel plate operating at temperatures as low as ~400ºC.…”

Section: Experiments Designmentioning

confidence: 99%

“…The thermal conductivity can then be corrected to account for porosity 21 using K P K 100 e 2.14 P where k P is the thermal conductivity of the porous materials, k 100 is the thermal conductivity of the fully-dense material, and P is porosity.…”

Section: Experiments Designmentioning

confidence: 99%

AFIP-6 Breach Assessment Report

Wachs¹,

Robinson²,

Medvedev³

2011

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Analysis of the AFIP-6 experiment is summarized in this report in order to determine the cause of gaseous fission product release observed during irradiation. During the irradiation, a series of small fission product releases were observed. In order to limit the potential for primary coolant contamination, the operating cycle was terminated and the AFIP-6 experiment was removed for examination. Both in-canal and post-irradiation examination revealed the presence of an unusually thick oxide layer and discrete surface blisters on the fuel plates. These blisters were the likely cause of fission product release.Subsequent detailed thermal hydraulic analysis of the experiment indicated that the combination of the high operating power and test vehicle configuration led to high nominal operating temperatures for the fuel plates. This elevated temperature led to accelerated surface corrosion and eventually spallation of the fuel plate cladding. The thermal insulating nature of this corrosion layer led to significantly elevated fuel meat temperatures that induced blistering.Analysis was performed to validate a corrosion rate model and criteria for onset of spallation type surface corrosion were determined. The corrosion rate model will be used to estimate the oxide thickness anticipated for experiments in the future. The margin to the spallation threshold will then be used to project the experiment performance. vi vii CONTENTS

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Heat conduction in spheres packed in an infinite regular cubical array

Cited by 50 publications

References 2 publications

Thermal Characterization of ZnO-DMSO (Dimethyl Sulfoxide) Colloidal Dispersions Using the Inverse Photopyroelectric Technique

Thermal Characterization of ZnO-DMSO (Dimethyl Sulfoxide) Colloidal Dispersions Using the Inverse Photopyroelectric Technique

Non-Linear Effect of Volume Fraction of Inclusions on The Effective Thermal Conductivity of Composite Materials: A Modified Maxwell Model

AFIP-6 Breach Assessment Report

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