Heat Transfer in Pebble Beds for Fusion Blankets

References

• M. DALLE DONNE, S. DORNER, and S. TACZANOWSKI, “Conceptual Design of Two Helium Cooled Fusion Blankets (Ceramic and Liquid Breeder) for INTOR,” KfK-3584, Kernforschungszentrum Karlsruhe (1983).
   Google Scholar
• M. DALLE DONNE, U. FISCHER, and M. KÜCHLE, “A Helium-Cooled Poloidal Blanket with Ceramic Breeder and Beryllium Multiplier for the Next European Torus,” Nucl. Technol., 71, 15 (1985).
   Web of Science ®Google Scholar
• Y. TANAKA, T. SUZUKI, S. MORI, S. YAMAZAKI, M. MISUMI, T. TONE, T. KOBAYASHI, and H. WATANABE, “Some Considerations on Li2O Pebble-Type Breeding Blanket Design for Tokamak Fusion Reactors,” Fusion Technol., 8, 947 (1985).
   Google Scholar
• M. DALLE DONNE, U. FISCHER, M. KÜCHLE, G. SCHUMACHER, G. SORDON, E. BOJARSKY, P. NO-RAJITRA, H. REISER, H. D. BASCHEK, and E. BOGUSCH, “Pebble Bed Canister: The Karlsruhe Ceramic Breeder Blanket Design for NET,” Fusion Technol., 14, 1357 (1988).
   Google Scholar
• A. R. RAFFRAY, M. A. ABDOU, P. CHOU, Z. GORBIS, M. TILLACK, Y. WATANABE, and A. YING, “Helium-Cooled Solid Breeder Blanket for ITER,” Fusion Technol., 15, 858 (1989).
   Google Scholar
• V. GNIELINSKI, “Wärme- und Stoffübertragung in Festbetten,” Chem.-Ing.-Tech., 52, 228 (1980).
   Google Scholar
• C.-H. LI and B. A. FINLAYSON, “Heat Transfer in Packed Beds —A Reevaluation,” Chem. Eng. Sci., 32, 1055 (1977).
   Web of Science ®Google Scholar
• E. TSOTSAS and H. MARTIN, “Thermal Conductivity of Packed Beds: A Review,” Chem. Eng. Process., 22, 19 (1987).
   Web of Science ®Google Scholar
• S. YAGI and D. KUNII, “Studies on Effective Thermal Conductivities in Packed Beds,” J. AIChE, 3, 373 (1957).
   Web of Science ®Google Scholar
• S. YAGI and N. WAKAO, “Heat and Mass Transfer from Wall to Fluid in Packed Beds,” J. AIChE, 5, 79 (1959).
   Web of Science ®Google Scholar
• D. KUNII and J. M. SMITH, “Heat Transfer Characteristics of Porous Rocks,” J. AIChE, 6, 71 (1960).
   Web of Science ®Google Scholar
• S. YAGI and D. KUNII, “Studies on Heat Transfer Near Wall Surface in Packed Beds,” J. AIChE, 6, 97 (1960).
   Web of Science ®Google Scholar
• K. OFUCHI and D. KUNII, “Heat-Transfer Characteristics of Packed Beds with Stagnant Fluids,” J. AIChE, 6, 543 (1960).
   Web of Science ®Google Scholar
• S. YAGI, D. KUNII, and N. WAKAO, “Radially Effective Thermal Conductivities in Packed Beds,” Proc. Int. Heat Transfer Conf., Boulder, Colorado, Part IV, p. 742 (1961).
   Google Scholar
• S. YAGI and D. KUNII, “Studies on Heat Transfer in Packed Beds,” Proc. Int. Heat Transfer Conf., Boulder, Colorado, Part IV, 750 (1961).
   Google Scholar
• G. P. WILLHITE, D. KUNII, and J. M. SMITH, “Heat Transfer in Beds of Fine Particles,” J. AIChE, 8, 340 (1962).
   Web of Science ®Google Scholar
• K. OFUCHI and D. KUNII, “Heat-Transfer Characteristics of Packed Beds with Stagnant Fluids,” Int. J. Heat Mass Transfer, 8, 749 (1965).
   Google Scholar
• D. KUNII and M. SUZUKI, “Heat Transfer Between Wall Surface and Packed Solids,” Proc. 3rd Int. Heat Transfer Conf., Chicago, Illinois, August 8–12, 1966, p. 344.
   Google Scholar
• P. ZEHNER and E. U. SCHLÜNDER, “Wärmeleitfähigkeit von Schüttungen bei mässigen Temperaturen,” Chem.-Ing. Tech., 42, 933 (1970).
   Web of Science ®Google Scholar
• E. U. SCHLÜNDER, “Wärmeübergang an bewegte Kugelschüttungen bei kurzfristigem Kontakt,” Chem.-Ing. Tech., 43, 651 (1971).
   Web of Science ®Google Scholar
• P. ZEHNER, “Experimentelle und theoretische Bestimmung der effektiven Wärmeleitfähigkeit durchströmter Kugelschüttungen bei mässigen und hohen Temperaturen,” VDI-Forschungsh., 558 (1973).
   Google Scholar
• F. W. HENNECKE, “Über den Wandwiderstand beim Wärmetransport in Schüttungstrohren,” PhD Thesis, Karlsruhe University (1972).
   Google Scholar
• F. W. HENNECKE and E. U. SCHLÜNDER, “Wärmeübergang in beheizten oder gekühlten Rohren mit Schüttungen aus Kugeln, Zylindern und Raschig-Ringen,” Chem.-Ing. Tech., 45, 277 (1973).
   Web of Science ®Google Scholar
• R. BAUER, “Effektive radiale Wärmeleitfähigkeit gas-durchströmter Schüttungen mit Partikeln unterschiedlicher Form und Größenverteilung,” VDI-Forschungsh., 582 (1977).
   Google Scholar
• R. BAUER and E. U. SCHLÜNDER, “Effective Radial Thermal Conductivity of Packings in Gas Flow,” Int. Chem. Eng., 18, 181 (1978).
   Google Scholar
• M. OKAZAKI, I. ITO, and R. TOEI, “Effective Thermal Conductivities of Wet Granular Materials,” AIChE Symp. Ser., 73, 164 (1977).
   Google Scholar
• M. OKAZAKI, T. YAMASAKI, S. GOTOH, and R. TOEI, “Effective Thermal Conductivity for Granular Beds of Various Binary Mixtures,” J. Chem. Eng. Japan, 14, 183 (1981).
   Web of Science ®Google Scholar
• E. U. SCHLÜNDER, “Transport Phenomena in Packed Bed Reactors,” ACS Symp. Ser., 72, 110 (1978).
   Google Scholar
• R. F. BENENATI and C. B. BROSILOW, “Void Fraction Distribution in Beds of Spheres,” J. AIChE, 8, 359 (1962).
   Web of Science ®Google Scholar
• J. KUBIE, “Steady-State Conduction in Stagnant Beds of Solid Particles,” Int. J. Heat Mass Transfer, 30, 937 (1987).
   Web of Science ®Google Scholar
• E. U. SCHLÜNDER, “Particle Heat Transfer,” Proc. 7th Int. Heat Transfer Conf., Munich, FRG, May 1982, Vol. 1, p. 195 (1982).
   Google Scholar
• J. J. LEROU and G. F. FROMENT, “Velocity, Temperature and Conversion in Fixed Bed Catalytic Reactors,” Chem. Eng. Sci., 32, 853 (1977).
   Web of Science ®Google Scholar
• K. J. SCHRÖDER, U. RENZ, and K. ELGETI, “Untersuchungen zum Wärmetransport in flüssigkeitsdurch-strömten Schüttungen,” Forschungsber. Landes Nordrhein-Westfalen, 3037 (1981).
   Google Scholar
• D. ZIOLKOWSKI and B. LEGAWIEC, “Remarks upon Thermokinetic Parameters of the One- and TwoDimensional Mathematical Models of Heat Transfer in a Tubular Flow Apparatus with a Packed Bed,” Chem. Eng. Process., 22, 65 (1987).
   Google Scholar
• K. RIDGWAY and K. J. TARBUCK, “The Random Packing of Spheres,” Brit. Chem. Eng., 12, 384 (1967).
   Web of Science ®Google Scholar
• R. JESCHAR, “Druckverlust in Mehrkornschüttungen aus Kugeln,” Arch. Eisenhüttenwes., 35, 91 (1964).
   Google Scholar
• G. SORDON, “Über den Wärmetransport in Kugelschüttungen,” KfK-4451, Kernforschungszentrum Karlsruhe (1988).
   Google Scholar
• H. S. CARSLAW and J. C. JAEGER, Conduction of Heat in Solids, Clarendon Press, Oxford (1959).
   Google Scholar
• “Harwell Subroutine Library,” Atomic Energy Research Establishment Harwell (1980).
   Google Scholar
• D. W. MARQUARDT, “An Algorithm for Least-Squares Estimation of Nonlinear Parameters,” J. Soc. Indust. Appl. Math., 11, 431 (1963).
   Google Scholar
• R. FLETCHER, “A Modified Marquardt Subroutine for Non-Linear Least Squares,” AERE-R67991, Atomic Energy Research Establishment, Harwell (1971).
   Google Scholar
• D. VORTMEYER and J. SCHUSTER, “Evaluation of Steady Flow Profiles in Rectangular and Circular Packed Beds by a Variational Method,” Chem. Eng. Sci., 38, 1691 (1983).
   Web of Science ®Google Scholar
• J. SCHUSTER, “Strömungs- und Porositätsverteilung in Schüttungen,” PhD Thesis, Munich University (1982).
   Google Scholar