An Analytical Solution for the Calculation of the Transient Transport of Gaseous Species in Nuclear Fuel Pore Channels

References

• F. R. ALLEN and D. A. PUCKETT, “Theoretical and Experimental Studies of Rate-Dependent Two-Phase Immiscible Flow,” SPE Product. Eng., 1, 62 (1986).
   Google Scholar
• H. SOO, M. C. WILLIAMS, and C. J. RADKE, “A Filtration Model for the Flow of Dilute, Stable Emulsions in Porous Media —II. Parameter Evaluation and Estimation,” Chem. Eng. Sci., 41, 273 (1986).
   Web of Science ®Google Scholar
• I. CHATZIS and F. A. L. DULLIEN, “Modeling of Mercury Porosimetry and the Relative Permeability of Mercury in Sandstones Using Percolation Theory,” Int. Chem. Eng., 25, 47 (1985).
   Google Scholar
• S. KELKAR, “Flow of Supersaturated Gas-Liquid Mixtures Through Porous Media,” SPE-11923, American Institute of Mining, Metallurgical, and Petroleum Engineers (July 1983).
   Google Scholar
• M. ALEMAN-GOMEZ, T. R. RAMAMOHAN, and J. C. SLATTERY, “A Statistical Structural Model for Unsteady-State Displacement in Porous Media,” Proc. 59th Conf. Society Petroleum Engineers, Houston, Texas, September 16, 1984, SPE-13265, p. 24, American Institute of Mining, Metallurgical, and Petroleum Engineers.
   Google Scholar
• G. NEALE, H. ANAKA, and D. HAMPEL, “Transport Phenomena in Non-Homogeneous Porous Media: Fluid Flow,” Can. J. Chem. Eng., 53, 691 (1975).
   Google Scholar
• D. SCHWARTZENDRUBER and E. G. YOUNGS, “A Comparison of Physically-Based Infiltration Equations,” Soil Sci., 117, 3, 165 (1974).
   Google Scholar
• D. DICKER and W. A. SEVIAN, “Transient Flow Through Porous Media,” J. Geophys. Res., 70, 5043 (1965).
   Google Scholar
• C. MARLE, P. SIMANDOUX, J. PACSIRZKY, and C. GAULIER, “Studying Miscible Fluid Drive in Stratified Porous Media,” Rev. Inst. Fr. Pet. Ann. Combust. Liquids, 22, 272 (1967).
   Google Scholar
• A. A. REZNIK, P. F. FULTON, and S. C. COLBECK, Jr., “Mathematical Imbibition Model with Fractional Wettability Characteristics,” Prod. Mon., 31, 22 (1967).
   Google Scholar
• C. RONCHI, “Light-Water Reactor Safety Research Program: Quarterly Progress Report, July-September 1975,” ANL-75-72, p. 89, Argonne National Laboratory (1975).
   Google Scholar
• M. F. OSBORNE, J. L. COLLINS, and R. A. LORENZ, “Experimental Studies of Fission Product Release from Commercial Light Water Reactor Fuel Under Accident Conditions,” Nucl. Technol., 78, 157 (1987).
   Web of Science ®Google Scholar
• J. G. M. van der GRINTEN, M. E. H. van DONGEN, and H. van der KOGEL, “Strain and Pore Pressure Propagation in a Water-Saturated Porous Medium,” J. Appl. Phys., 62, 4682 (1987).
   Google Scholar
• A. DEGIOVANNI and C. MOYNE, “Conductivité thermique de matériaux poreaux humides: évaluation théorique et possibilité de mesure,” Int. J. Heat Mass Transfer, 30, 2225 (1987).
   Google Scholar
• P. BAILEY, S. E. DONNELLY, D. G. ARMOUR, and H. MATZKE, “Gas Release from Pressurized Closed Pores in Nuclear Fuels,” J. Nucl. Mater., 158, 19 (1988).
   Google Scholar
• C. RONCHI, J. SAKELLARIDIS, and C. SYROS, “Boundary Loss Term in the Diffusion of Radioactive Volatile Fission Products,” Nucl. Sci. Eng., 95, 282 (1987).
   Web of Science ®Google Scholar
• J. R. HOFMANN and C. C. MEEK, “Internal Pressurization in Solid Mixed-Oxide Fuel Due to Transient Fission Gas Release,” Nucl. Sci. Eng., 64, 713 (1977).
   Web of Science ®Google Scholar
• J. R. HOFMANN, “Transient Pressurization and Transport of a Two-Component Gas Within Interconnected Porosity of Solid Mixed-Oxide Fuel,” Nucl. Sci. Eng., 68, 73 (1978).
   Web of Science ®Google Scholar
• K. LASSMANN and H. BLANK, “Modelling of Fuel Rod Behaviour and Recent Advances of the TRANSURANUS Code,” J. Nucl. Mater., 106, 291 (1988).
   Google Scholar
• H. C. STONER, J. R. MATTHEWS, and M. H. WOOD, “Flow Limitations During Transient Gas Release from Oxide Nuclear Fuels,” Res. Mech., 9, 219 (1983).
   Google Scholar
• C. SYROS, J. SAKELLARIDIS, and C. RONCHI, “Analytical Solution of the Radioactive Volatile Fission Product Release Equation in the Presence of Precipitation and Re-Solution,” J. Nucl. Mater., 168, 65 (1989).
   Google Scholar
• E. KAMKE, Differentialgleichungen, 9. Auflage, p. 423, B. G. Teubner-Verlag, Stuttgart (1977).
   Google Scholar
• I. S. GRADSHTEYN and I. M. RYZHIK, Table of Integrals, Series and Products, p. 672, Academic Press, New York (1980).
   Google Scholar
• C. RONCHI and C. SYROS, to be published.
   Google Scholar