Abstract
The influence of the elasticity and relative motion of the continuous medium on the hydrodynamics of a suspended vibrating bed is discussed. A solution is given for the boundary-value problem of small pressure disturbances propagating in the bed. The results are compared with experimental data and calculations based on existing models.
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Literature cited
M. H. I. Baird, Brit. Chem. Eng.,11, No. 1, 20–25 (1966).
V. A. Chlenov and N. V. Mikhailov, The Vibrating Fluidized Bed [in Russian], Moscow (1972).
W. Kroll, Forsch. Gebiete,20, No. 1, 2–15 (1954).
R. G. Gutman, Trans. Inst. Chem. Eng.,54, No. 3, 174–183 (1976).
Yu. A. Buevich and V. L. Gapontsev, Inzh.-Fiz. Zh.,34, No. 3, 394–403 (1978).
Fluidization [in Russian], Moscow (1974).
R. A. Isakova, V. N. Nesterov, and L. S. Chelokhsaev, Fundamentals of the Vacuum Pyrosorting of Semimetallic Ores [in Russian], Alma-Ata (1973).
A. F. Ryzhkov and E. M. Tolmachev, Teor. Osn. Khim. Tekhnol.,17, No. 2, 206–213 (1983).
A. F. Ryzhkov, B. A. Putrik, and V. A. Mikula, Inzh.-Fiz. Zh.,52, No. 6, 965–974 (1987).
V. L. Gapontsev, “Mechanism of the formation and heat transfer of a vibrating fluidized bed containing a submerged vertical surface,” Candidate's Dissertation, Engineering Sciences, Sverdlovsk (1981).
J. F. Davidson and R. C. Paul, Trans. Inst. Chem. Eng.,37, 323–327 (1959).
A. M. Binie, Trans. Inst. Chem. Eng.,41, 231–235 (1963).
P. A. Avery and D. N. Trasy, J. Chem. Eng. Symp. Ser., No. 30, 21–25 (1968).
M. H. I. Baird and A. J. Klein, Chem. Eng. Sci.,28, No. 4, 1039–1048 (1973).
V. A. Borodulya, V. V. Zav'jalov, and J. A. Bujevich, Chem. Eng. Sci.,40, No. 3, 355–364 (1985).
P. J. A. Paul, T. T. Al-Naimi, and D. K. Gas-Gupta, Int. J. Control,12, No. 5, 817–834 (1970).
W. R. A. Goossens, in: Fluidization Technology (Proc. Int. Fluidization Conf.), D. L. Keairns (ed.), Vol. 1, Hemisphere, Washington, DC (1976), pp. 87–93.
S. Hiraoka, K. C. Kim, S. H. Shin, and L. T. Fan, Powder Technol.,45, 245–265 (1986).
R. Jackson, Trans. Inst. Chem. Eng.,41, No. 13, 13–20 (1963).
J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics, 2nd. edn. (rev.), Noordhoff, Leiden, Netherlands (1973).
M. A. Gol'dshtik, Transport Processes in a Granular Bed [in Russian], Novosibirsk (1984).
N. I. Syromyatnikov, V. N. Korolev, A. V. Blinov, et al., in: Heat and Mass Transfer VII [in Russian], Vol. 5, Part 1, Minsk (1984), pp. 48–54.
K. Erdesz and A. S. Mujumdar, Powder Technol.,46, 167–172 (1986).
A. F. Ryzhkov, A. P. Baskakov, and I. I. Shishko, Heat and Mass Transfer (Heat and Mass Transfer in Disperse Systems) [in Russian], Vol. 5, Part 1, Kiev (1972), pp. 144–148.
E. A. Kapustin, V. I. Prosvirnin, and I. V. Butorina, Teor. Osn. Khim. Tekhnol.,14, No. 5, 720–727 (1980).
A. F. Ryzhkov, A. S. Kolpakov, A. K. Barakyan, et al., Heat and Mass Transfer in Technological Processes and Equipment [in Russian], Minsk (1985), pp. 119–126.
B. A. Putrik, “Optimization of the thermal and hydrodynamic regimes in conductive vibrating fluidized-bed equipment,” Candidate's Dissertation, Engineering Sciences, Sverdlovsk (1986).
A. F. Ryzhkov, A. V. Mukovozov, and S. Yu. Kuznetsov, Modern Facilities and Technology for the Thermal and Chemicothermal Processing of Metallic Materials [in Russian], Moscow (1986), pp. 73–76.
A. P. Baskakov, B. V. Berg, A. F. Ryzhkov, et al., Heat- and Mass-Transfer Processes in a Fluidized Bed [in Russian], Moscow (1978).
Yu. A. Buevich and G. P. Yasnikov, Inzh.-Fiz. Zh.,44, No. 3, 489–504 (1983).
A. K. Barakyan, “Intensification of heat and mass transfer and energy dissipation in vibrating fluidized-bed equipment,” Candidate's Dissertation, Engineering Sciences, Sverdlovsk (1986).
A. S. Kolpakov, “Intensification of heat and mass transfer in a bed of finely disperse particles by vibrofluidization in resonance regimes,” Candidate's Dissertation, Engineering Sciences, Sverdlovsk (1983).
I. L. Zamnius, in: Heat and Mass Transfer (Heat and Mass Transfer in Disperse Systems) [in Russian], Vol. 5, Part 1, Kiev (1972), pp. 158–163.
A. I. Tamarin and G. I. Kovenskii, Inzh.-Fiz. Zh.,6, No. 1, 83–86 (1972).
S. M. P. Mutress and K. Rietema, Powder Technol.,24, No. 1, 65–70 (1979).
E. F. Karpov, A. S. Kolapkov, B. A. Putrik, et al., in: Physicochemical Hydrodynamics [in Russian], Sverdlovsk (1985), pp. 97–106.
Yu. A. Buevich, Inzh.-Fiz. Zh.,40, No. 1, 61–69 (1981).
V. P. Myasnikov, Prikl. Mat. Mekh.,39, No. 5, 747–751 (1975).
A. F. Ryzhkov, Industrial Fluidized-Bed Furnaces [in Russian], Sverdlovsk (1973), pp. 12–18.
A. F. Ryzhkov and A. P. Baskakov, Izv. Vyssh. Uchebn. Zaved., Énerget., No. 11, 49–63 (1974).
V. S. Nosov, V. N. Korolev, V. L. Gapontsev, et al., in: Heat and Mass Transfer VI [in Russian], Vol. 6, Part 1, Minsk (1980), pp. 25–29.
A. S. Kolpakov, A. F. Ryzhkov, and B. A. Putrik, in: Heat Physics of Nuclear Power Plants [in Russian], Sverdlovsk (1983), pp. 81–87.
A. F. Ryzhkov, “Mechanism of the vibration treatment of finely dispersed packed beds in large-scale process equipment,” Candidate's Dissertation, Engineering Sciences, Sverdlovsk (1974).
Ya. G. Panovko, Internal Friction in the Vibrations of Elastic Systems [in Russian], Moscow (1960).
S. S. Zabrodskii, I. L. Zaminus, S. A. Malyukovich, et al., Inzh.-Fiz. Zh.,14, No. 3, 448–453 (1968).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 54, No. 2, pp. 188–197, February, 1988.
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Ryzhkov, A.F., Putrik, B.A. Propagation of vibrations in a suspended granular bed. Journal of Engineering Physics 54, 125–134 (1988). https://doi.org/10.1007/BF00878410
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DOI: https://doi.org/10.1007/BF00878410