Geodesic
Pseudo soliton in fluidized beds and its perturbed treatment
Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 309-314 
Hisao Hayakawa. Pseudo soliton in fluidized beds and its perturbed treatment. Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 309-314. http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a17/
@article{TMF_1994_99_2_a17,
     author = {Hisao Hayakawa},
     title = {Pseudo soliton in fluidized beds and its perturbed treatment},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {309--314},
     year = {1994},
     volume = {99},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a17/}
}
TY  - JOUR
AU  - Hisao Hayakawa
TI  - Pseudo soliton in fluidized beds and its perturbed treatment
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1994
SP  - 309
EP  - 314
VL  - 99
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a17/
LA  - en
ID  - TMF_1994_99_2_a17
ER  - 
%0 Journal Article
%A Hisao Hayakawa
%T Pseudo soliton in fluidized beds and its perturbed treatment
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1994
%P 309-314
%V 99
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a17/
%G en
%F TMF_1994_99_2_a17

Voir la notice de l'article provenant de la source Math-Net.Ru

The author summarize the recent analysis of a two-fluid model which describes fluidized beds of granular particles. It has been found that near the transition point from stable fluidized beds to unstable ones the two-fluid model is reduced to the KdV equation with small dissipation. The amplitude and the propagating velocity of a pulse of the reduced equation is obtained.

[1] Y-h. Taguchi, H. Hayakawa, S. Sasa, H. Nishimori, “Dynamics of Powder Systems”, Int. J. Mod. Phys. B, 7:9,10 (1993)

[2] J. F. Davidson, R. Glift, D. Harrison, Fluidization, Academic, London, 1985

[3] D. Gidaspow, Appl. Mech. Rev., 30 (1986), 1 | DOI

[4] G. K. Batchelor, J. Fluid. Mech., 193 (1988), 75 | DOI | MR | Zbl

[5] D. Green, G. M. Homsy, Int. J. of Multiphase Flow, 13 (1987), 443,459 | DOI

[6] M. F. Göz, J. Fluid. Mech., 240 (1992), 379 ; Physica D, 65 (1993), 319 | DOI | MR | Zbl | DOI | MR | Zbl

[7] T. Tanaka, K. Kawaguchi, Y. Tsuji, Int. J. Mod. Phys. B, 7 (1889)

[8] S. Sasa, H. Hayakawa, Europhys. Lett., 17 (1992), 685 | DOI | MR

[9] H. Hayakawa, S. Sasa, Complex Fluids, ed. L. Garrido, Springer, Berlin, 1993, 319 | DOI

[10] D. G. Crighton, Nonlinear Waves in Real Fluids, ed. A. Kluwick, Springer, Berlin, 1991, 83 | DOI

[11] S. E. Harris, D. G. Crighton, preprint; “Solitons, solitary waves, and voidage disturbances in gas-fluidized beds”, J. Fluid Mech., 266 (1994), 243–276 | DOI | MR | Zbl

[12] T. S. Komatsu, H. Hayakawa, Phys. Lett. A, 183 (1993), 56 | DOI

[13] H. Hayakawa, T. S. Komatsu, T. Tsuzuki, Physica A, to be published

[14] M. Doi, A. Onuki, J. Phys. (Paris) II, 2 (1631)

[15] D. J. Benney, J. Math. and Phys., 45 (1966), 150 | DOI | MR | Zbl

[16] E. Ott, R. N. Sudan, Phys. Fluids, 12 (1969), 2388 | DOI | MR | Zbl

[17] Y. S. Kivshar, B. A. Malomed, Rev. Mod. Phys., 61 (1989), 763 | DOI

[18] T. Kawahara, Phys. Rev. Lett., 51 (1983), 381 | DOI

[19] S. Ei, T. Ohta, unpublished

[20] T. S. Komatsu, H. Hayakawa, unpublished

[21] K. Ichiki, H. Hayakawa, Int. J. Mod. Phys. B, 7:1899 (1993)