Skip to main content
Log in

Numerical study of buoyancy- and thermocapillary-driven flows in a cavity

  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

Thermocapillary- and buoyancy-driven convection in open cavities with differentially heated endwalls is investigated by numerical solutions of the two-dimensional Navier-Stokes equations coupled with the energy equation. We studied the thermocapillary and buoyancy convection in the cavities, filled with low-Prandtl-number fluids, with two aspect-ratiosA=1 and 4, Grashof number up to 105 and Reynolds number ⋎Re⋎≤104. Our results show that thermocapillary can have a quite significant effect on the stability of a primarily buoyancy-driven flow, as well as on the flow structures and dynamic behavior for both additive effect (i.e., positiveRe) and opposing effect (i.e., negativeRe).

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

Similar content being viewed by others

References

  1. Winters KH. Oscillatory convection in liquid metals in a horizontal temperature gradient.Int J Numer Methods Engng, 1988, 25: 401–414

    Article  MATH  Google Scholar 

  2. Ostrach S. Low-gravity fluid flows.Ann Rev Fluid Mech, 1982, 14: 313–345

    Article  MATH  Google Scholar 

  3. Davis SH. Thermocapillary instabilities.Ann Rev Fluid Mech, 1987, 19:403–435

    Article  MATH  Google Scholar 

  4. Ben Hadid H, Roux B. Thermocapillary convection in long horizontal layers of low-Prandtl-number melts subject to horizontal temperature gradient.J Fluid Mech, 1990, 221: 77–103

    Article  Google Scholar 

  5. Bergman TL, Keller JR. Combined buoyancy surface-tension flow in liquid metals.Numer Heat Transfer, 1988, 13: 49–63

    Google Scholar 

  6. Zebib A, Homsy GM, Meiburg E. High Marangoni number convection in a square cavity.Phys Fluids, 1985, 28: 3467–3476

    Article  MATH  MathSciNet  Google Scholar 

  7. Mundrane M, Zebib A. Two- and three- dimensional buoyant thermocapillary convection.Phys Fluids, 1993, 4: 810–818

    MATH  Google Scholar 

  8. Cuvelier C, Driessen JM. Thermocapillary free boundaries in crystal growth.J Fluid Mech, 1986, 169: 1–26

    Article  MATH  Google Scholar 

  9. Bradley MC, Homsy GM. Combined buoyancy-thermocapillary flow in a cavity.J Fluid Mech, 1989, 207: 121–132

    Article  Google Scholar 

  10. Ben Hadid H, Roux B. Buoyancy- and thermocapillary-driven flow in a shallow open cavity: unsteady flow regimes.J Cryst Growth, 1989, 97: 217–225

    Article  Google Scholar 

  11. Ben Hadid H, Roux B. Buoyancy- and thermocapillary-driven flows in differentially heated cavities for low-Prandtl-number fluids.J Fluid Mech, 1992, 235: 1–36

    Article  MATH  Google Scholar 

  12. Birikh RV. Thermocapillary convection in horizontal layer of liquid.J Appl Mech Tech Phys, 1966, 7: 43–49

    Article  Google Scholar 

  13. Lele SK. Compact finite difference schemes with spectral-like resolution.J Comput Phys, 1992, 103: 16–42

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xiyun, L., Lixian, Z. Numerical study of buoyancy- and thermocapillary-driven flows in a cavity. Acta Mech Sinica 14, 130–138 (1998). https://doi.org/10.1007/BF02487747

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02487747

Key Words

Navigation