Skip to main content
Log in

Standing Oscillations and Traveling Waves in Two - Layer Systems with an Inclined Temperature Gradient

  • Original Article
  • Published:
Microgravity Science and Technology Aims and scope Submit manuscript

Abstract

Nonlinear oscillatory convective flows developed under the joint action of buoyant and thermocapillary effects in the 47v2 silicone oil - water system with periodic boundary conditions on the lateral walls, have been studied. The influence of an inclined temperature gradient on convective regimes, has been investigated. Different values of parameter, characterizing the horizontal component of the temperature gradient, have been considered. Regimes of standing symmetric oscillations, traveling waves, pulsating traveling waves moving in the opposite directions, and modulated traveling waves, have been found.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16

Similar content being viewed by others

References

  • Colinet, P., Legros, J.C.: On the Hopf bifurcation occuring in the twolayer Rayleigh-Bénard convective instability. Phys. Fluids 6, 2631 (1994)

  • Davis, S.H.: Thermocapillary instabilities. Ann. Rev. Fluid Mech. 19, 403 (1987)

    Article  MATH  Google Scholar 

  • Degen, M.M., Colovas, P.W., Andereck, C.D.: Time-dependent patterns in the two-layer Rayleigh-Bénard system. Phys. Rev. E 57, 6647 (1998)

    Article  Google Scholar 

  • Doi, T., Koster, J.N.: Thermocapillary convection in two immiscible layers with free surface. Phys. Fluids A5, 1914 (1993)

    Article  Google Scholar 

  • Gershuni, G. Z., Zhukhovitsky, E. M.: On monotonic and oscillatoty instability of a two-layer immiscible fluids system heated from below. Sov. Phys. Dokl. 27, 531 (1982)

    MATH  Google Scholar 

  • Gilev, A. Yu., Nepomnyashchy, A.A., Simanovskii, I.B.: Onset of the oscillatory thermogravitational convection in a two-layer system when heating from below. Dynamics of Viscous Fluids, Collection of papers, Sverdlovsk, p. 36, (in Russian) (1987)

  • Groothuis, H., Zuiderweg, F.G.: Influence of mass transfer on coalescence of drops. Chem. Eng. Sci. 12, 288 (1960)

    Article  Google Scholar 

  • Juel, A., Burgess, J.M., McCormick, W.D., Swift, J.B., Swinney, H.L.: Surface-tension-driven convection patterns in two liquid layers. Phys. D 143, 169 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  • Levich, V.G., Krylov, V.S.: Surface - tension - driven phenomena. Ann. Rev. Fluid Mech. 1, 293 (1969)

    Article  Google Scholar 

  • Nepomnyashchy, A.A., Simanovskii, I.B.: Thermocapillary and thermogravitational convection in a two-layer system with a distorted interface. Fluid Dyn. 19, 494 (1984)

    Article  Google Scholar 

  • Nepomnyashchy, A.A., Simanovskii, I.B., Braverman, L.M.: Stability of thermocapillary flows with inclined temperature gradient. J. Fluid Mech. 442, 141 (2001)

    Article  MATH  Google Scholar 

  • Nepomnyashchy, A.A., Simanovskii, I.B., Legros, J.C., 2nd ed.: Interfacial Convection in Multilayer Systems. Springer, New York (2012)

    Book  MATH  Google Scholar 

  • Rasenat, S., Busse, F.H., Rehberg, I.: A theoretical and experimental study of double-layer convection. J. Fluid Mech. 199, 519 (1989)

    Article  MATH  Google Scholar 

  • Renardy, Y.Y.: Pattern formation for oscillatory bulk-mode competition in a two-layer Bénard problem. ZAMP 47, 567 (1996)

    Article  MATH  Google Scholar 

  • Renardy, Y., Renardy, M., Fujimura, K.: Takens - Bogdanov bifurcation on the hexagonal lattice for double-layer convection. Phys. D 129, 171 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  • Simanovskii, I.B., Nepomnyashchy, A.A.: Convective Instabilities in Systems with Interface. Gordon and Breach, London (1993)

    MATH  Google Scholar 

  • Simanovskii, I.B., Viviani, A., Dubois, F., Legros, J.C.: The influence of the horizontal component of the temperature gradient on nonlinear convective oscillations in two-layer systems. Phys. Fluids 24, 102108 (2012). (1–20)

    Article  Google Scholar 

  • Szekely, J.: Fluid Flow Phenomena in Metals Processing. Academic, New York (1979)

    Google Scholar 

  • Ueno, I., Kurosawa, T., Kawamura, H.: Thermocapillary convection in thin liquid layer with temperature gradient inclined to free surface, Heat Transfer 2002. Proc. 12th Int. Heat Transfer Conf. (Grenoble, France), p. 129 (2002)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ilya B. Simanovskii.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Simanovskii, I.B., Viviani, A., Dubois, F. et al. Standing Oscillations and Traveling Waves in Two - Layer Systems with an Inclined Temperature Gradient. Microgravity Sci. Technol. 26, 279–291 (2014). https://doi.org/10.1007/s12217-014-9366-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12217-014-9366-0

Keywords

Navigation