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U.S. Department of Energy
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Porosity correction factor for the thermal conductivity of porous materials (LWBR Development Program)

Technical Report ·
OSTI ID:6745891
The variation of the porosity correction factor, ..beta.., with temperature and pore shape was studied by using the Fricke equation for the thermal conductivity of a two-phase medium containing the second phase as randomly distributed ellipsoids. Since the temperature variation occurred via the parameter ..gamma.. = K/sub pore//K/sub 100/, the conductivity of the pores was also calculated for various gas contents in the pores. The thermal radiation contribution to pore conduction was also included. The effect of pore shape was determined via the axial ratio, epsilon, of oblate or prolate ellipsoidal pores. The results are presented graphically in curves showing the variation of ..beta.. with ..gamma.. and epsilon. The above model was applied to actual conductivity data of ThO/sub 2/ and ThO/sub 2/-UO/sub 2/ specimens in an effort to correlate the general porous structure typical of ceramic fuels to the parameters (epsilon and ..gamma..) in the Fricke equation. It was shown that the ..beta.. factor for ceramic fuels could be related to their general microstructure and pore conductivity in a self-consistent mathematical framework. The technique, therefore, minimized much of the guesswork heretofore required in estimating the porosity correction factor. (NSA 24: 27828)
Research Organization:
Bettis Atomic Power Lab., Pittsburgh, PA (USA)
DOE Contract Number:
AT(11-1)-GEN-14
OSTI ID:
6745891
Report Number(s):
WAPD-TM-807
Country of Publication:
United States
Language:
English