The growth of periodic waves in gas-fluidized beds
作者： S. E. Harris
DOI: 10.1017/S0022112096008117
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摘要: In this paper, we analyse the development of initially small, periodic, voidage disturbances in gas-fluidized beds. The one-dimensional model was proposed by Needham & Merkin (1983), and Crighton (1991) showed that weakly nonlinear waves satisfied a perturbed Korteweg-de Vries or KdV equation. We take periodic cnoidal wave solutions equation follow their evolution when perturbation terms are amplifying. Initially, all such grow, but at later stage rescaling shows shorter wavelengths stabilized state. Longer continue to develop eventually strongly required. Necessary conditions for found matching back onto growing is possible. It shown further these fully also reach an equilibrium A comparison with numerical results from (1986) Anderson, Sundaresan Jackson (1995) then carried out.
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sci-hub.se 参考文章(15)
D. G. Crighton, Applications of KdV Acta Applicandae Mathematicae. ,vol. 39, pp. 39- 67 ,(1995) , 10.1007/BF00994625
S. K. Garg, J. W. Pritchett, Dynamics of gas‐fluidized beds Journal of Applied Physics. ,vol. 46, pp. 4493- 4500 ,(1975) , 10.1063/1.321421
P.U. Foscolo, L.G. Gibilaro, Fluid dynamic stability of fluidised suspensions: the particle bed model Chemical Engineering Science. ,vol. 42, pp. 1489- 1500 ,(1987) , 10.1016/0009-2509(87)85021-2
D. J. Needham, J. H. Merkin, The existence and stability of quasi-steady periodic voidage waves in a fluidized bed Zeitschrift für Angewandte Mathematik und Physik. ,vol. 37, pp. 322- 339 ,(1986) , 10.1007/BF00946754
P.U. Foscolo, L.G. Gibilaro, A fully predictive criterion for the transition between particulate and aggregate fluidization Chemical Engineering Science. ,vol. 39, pp. 1667- 1675 ,(1984) , 10.1016/0009-2509(84)80100-1
G.M. Homsy, M.M. El-Kaissy, A. Didwinia, Instability waves and the origin of bubbles in fluidized beds—II Comparison with theory International Journal of Multiphase Flow. ,vol. 6, pp. 305- 318 ,(1980) , 10.1016/0301-9322(80)90023-3
Manfred F. Göz, Bifurcation of plane voidage waves in fluidized beds Physica D: Nonlinear Phenomena. ,vol. 65, pp. 319- 351 ,(1993) , 10.1016/0167-2789(93)90059-A
S. E. Harris, D. G. Crighton, Solitons, solitary waves, and voidage disturbances in gas-fluidized beds Journal of Fluid Mechanics. ,vol. 266, pp. 243- 276 ,(1994) , 10.1017/S0022112094000996
K Anderson, S. Sundaresan, R. Jackson, Instabilities and the formation of bubbles in fluidized beds Journal of Fluid Mechanics. ,vol. 303, pp. 327- 366 ,(1995) , 10.1017/S0022112095004290
D. J. Needham, J. H. Merkin, The propagation of a voidage disturbance in a uniformly fluidized bed Journal of Fluid Mechanics. ,vol. 131, pp. 427- 454 ,(1983) , 10.1017/S0022112083001391