Stability of operation of an apparatus containing a granular bed fluidized by a gas stream

The results of numerical experiments on the investigation of the stability of the fluidization process relative to finite perturbations and its behavior upon crossing the boundary of stability are presented.Notation H bed height - H₀, H_* bed heights in motionless and steady fluidized states - g free-fall acceleration - k₁, k₂ coefficients of resistance of gas-supply system and gas-distributing device, respectively - M molecular weight of gas - m mass of bed per unit cross-sectional area - p^*, p⁰ pressure at inlet and outlet of apparatus - Q₀, Q_b minimum fluidization velocity and average velocity of gas in the bubble phase - q, q_v total mass-flow rates of gas supplied to the bed and to the free cavity - R gas constant - S cross-sectional area of bed - V volume of cavity below gas-distributing grid accessible to the gas - gas density - T absolute temperature - c,, q₀ parameters introduced into (4) - t time - z dimensionless bed height - x dimensionless time - A, B, C, D, N, n dimensionless complexes introduced into (5) - v dimensionless volume - parameter introduced into (5) - z_* dimensionless bed height in steady fluidized state - circular frequency Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 33, No. 5, pp. 889–892, November, 1977.