Hostname: page-component-77c89778f8-fv566 Total loading time: 0 Render date: 2024-07-22T21:20:55.051Z Has data issue: false hasContentIssue false

On the stability of the pulsed convective flow with small heavy particles

Published online by Cambridge University Press:  15 June 2000

D. A. Bratsun*
Affiliation:
Perm State University, 15 Bukirev Street, 614600 Perm, Russia
V. S. Teplov
Affiliation:
Perm State University, 15 Bukirev Street, 614600 Perm, Russia
Get access

Abstract

We study two-phase flow in a tall vertical slot differently heated from the side walls, where one of the phase is fluid and another phase consists of small solid particles. The particles are subjected to downward drag exerted by the gravity and the drag exerted by finite-frequency horizontal vibrations along the layer. In the framework of the generalized Boussinesq approximations we derive non-contradictive set of governing equations describing the dynamics of suspension. The pulsed base flow is obtained and its linear stability is analysed. The comparison of the numerical results with the recent experimental findings is given.

Keywords

Type
Research Article
Copyright
© EDP Sciences, 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Gershuni, G.Z., Zukhovitskii, E.M., J. Appl. Math. Mech. 27, 1197 (1963). CrossRef
Gresho, P.M., Sani, R.L., J. Fluid Mech. 40, 783 (1970). CrossRef
Biringen, S., Peltier, L.J., Phys. Fluids A 2, 754 (1990). CrossRef
Wadih, M., Roux, B., J. Fluid Mech. 193, 391 (1988). CrossRef
G.F. Putin, M.P. Zavarykin, S.V. Zorin, A.V. Zyuzgin, in Abstract of International workshop ``Non-gravitational mechanisms of convection and heat/mass transfer'', Zvenigorod, Russia, 1994, p. 12.
A.V. Zyuzgin, G.F. Putin, in Vibrational effects in hydrodynamics, edited by D.V. Lyubimov (Perm State University, Perm, 1998), p. 130.
Marble, F.E., Annu. Rev. Fluid Mech. 2, 397 (1970). CrossRef
Saffman, P.G., J. Fluid Mech. 18, 120 (1962). CrossRef
Michael, D.H., J. Fluid Mech. 18, 19 (1964). CrossRef
Rudyak, V.Ya., Isakov, E.B., J. Appl. Technol. Phys. 37, 95 (1996).
Rudyak, V.Ya., Isakov, E.B., Bord, E.G., Lett. J. Technol. Phys. 24, 76 (1998).
Asmolov, E.S., Manuilovich, S.V., J. Fluid Mech. 365, 137 (1998). CrossRef
Lyubimov, D.V., Bratsun, D.A., Bulletin of Perm University. Physics 2, 15 (1997).
D.A. Bratsun, Ph.D. thesis, Perm State University, 1997.
Lyubimov, D.V., Bratsun, D.A., Lyubimova, T.P., Roux, B., Adv. Space Res. 22, 1267 (1998). CrossRef
G.Z. Gershuni, D.V. Lyubimov, Thermal vibrational convection (Wiley, New York et al., 1998).
Zavarykin, M.P., Zorin, S.V., Putin, G.F., Dokl. Akad. Nauk. SSSR 281, 815 (1985).
R.I. Nigmatulin, Basics of the mechanics of heterogeneous media (Nauka, Moscow, 1978).
Lyubimov, D.V., Eur. J. Mech. B/Fluids 14, 439 (1995).
Gershuni, G.Z., Keller, I.O., Smorodin, B.L., Mech. Zhid. i Gaza 5, 44 (1996).
Tennakoon, S.G.K., Andereck, C.D., Aouidef, A., Normand, C., Eur. J. Mech. B/Fluids 16, 227 (1997).
Or, A.C., J. Fluid Mech. 335, 213 (1997). CrossRef