Skip to main content

Numerical investigation of the tangential stress effects on a fluid flow structure in a partially open cavity

Abstract

Mathematical and numerical modeling of fluid flows in the domains with free boundaries under co-current gas flow is widely investigated nowadays. A stationary problem of fluid motion in a rectangular cavity with a non-deformed free boundary is studied in a two-dimensional statement. The tangential stresses created on the free boundary by an adjoint gas flow are considered to be a driving force for a fluid motion. The influence of the cavity geometry (cavity aspect ratio) and of the free boundary (length of the open part of the boundary) on the velocity field is investigated numerically. The simulations are carried out for different values of the gas Reynolds numbers. The characteristic values for the flow parameters as well as geometrical characteristics described in this paper are motivated by the main features of the CIMEX-1 experiments prepared for the International Space Station. The paper presents examples of the fluid flow structure in the open cavities and conclusions.

This is a preview of subscription content, access via your institution.

References

  1. 1.

    Iorio, C.S., Kabov, O.A., and Legros, J-C., Thermal Patterns in Evaporating Liquid, Micrograv. Sci. Technol., 2007, vol. 19, nos. 3/4, pp. 27–29.

    Article  Google Scholar 

  2. 2.

    Celata, G.P., Colin, C., Colinet, P., Di Marco, P., Gambaryan-Roisman, T., Kabov, O., Kyriopoulos, O., Stephan, P., Tadrist, L., and Tropea, C., Bubbles, Drops, Films: Transferring Heat in Space, Europhysics News, 2008, vol. 39, no. 4, pp. 23–25.

    ADS  Article  Google Scholar 

  3. 3.

    Kabov, O.A., Kuznetsov, V.V., Marchuk, I.V., Pukhnachov, V.V., and Chinnov, E.A., Regular Structures in Thin Liquid Film Flow under Thermocapillary Convection, J. Struct. Radiol., Synchron. Neutron Invest., 2001, no. 9, pp. 84–90.

    Google Scholar 

  4. 4.

    Kabova, Yu.O., Kuznetsov, V.V., and Kabov, O.A., Gravity Effect on the Locally Heated Liquid Film Driven by Gas Flow in an Inclined Minichannels, Micrograv. Sci. Technol., 2008, no. 20, pp. 187–192.

    Google Scholar 

  5. 5.

    Kuznetsov, V.V., About Problem of Transition of Marangoni Boundary Layer to Prandtl Boundary Layer, Sib. Mat. Zh., 2000, vol. 41, no. 4, pp. 822–838.

    MATH  Article  Google Scholar 

  6. 6.

    Goncharova, O. and Kabov, O., Numerical Modeling of the Tangential Stress Effects on Convective Fluid Flows in an Open Cavity, Micrograv. Sci. Technol., 2009, vol. 21, no. 1, pp. 119–128.

    Article  Google Scholar 

  7. 7.

    Iorio, C.S., Goncharova, O.N., and Kabov, O.A., Study of Evaporative Convection in an Open Cavity under Shear Stress Flow, Micrograv. Sci. Technol., 2009, vol. 21, no. 1, pp. 313–320.

    Article  Google Scholar 

  8. 8.

    Iorio, C.S., Goncharova, O.N., and Kabov, O.A., Influence of Boundaries on Shear-Driven Flow of Liquids in Open Cavities, Micrograv. Sci. Technol., 2011, vol. 23, no. 4, pp. 373–379.

    Article  Google Scholar 

  9. 9.

    Brailovskaya, V.A., Kogan, B.R., Polezhaev, V.I., and Feoktistova, L.V., Structures and Regimes of Shear Flow in a Plane Cavity with Translating Boundaries, Fluid Dyn., 1995, vol. 30, no. 2, pp. 200–203.

    ADS  MATH  Article  Google Scholar 

  10. 10.

    Bessonov, O.A., Brailovskaya, V.A., and Rou, B., Numerical Modeling of the Three-Dimensional Shear Flow in a Cavity with Moving Walls, Fluid Dyn., 1998, no. 3, pp. 41–49.

    Google Scholar 

  11. 11.

    Ermakov, M.K., The Modeling of a Homogeneous Liquid Mixing due to Deformation of the Boundary Region, Physico-Chemical Kinetic in the Gas Dynamics, 2008, http://www.chemphys.edu.ru/pdf/2008-09-01-043.pdf, pp. 1–6.

    Google Scholar 

  12. 12.

    Douglas, J., Jr. and Gunn, J.E., A General Formulation of Alternating Direction Methods, pt. I, Parabolic and Hyperbolic Problems, Numer. Math., 1964, no. 6, pp. 428–453.

    Google Scholar 

  13. 13.

    Yanenko, N.N., TheMethod of Fractional Steps (The Solution of Problems of Mathematical Physics of Several Variables), Berlin: Springer Verlag, 1971.

    Google Scholar 

  14. 14.

    Roache, P.J., Computational Fluid Dynamics, Albuquerque: Hermosa Publ., 1976.

    Google Scholar 

  15. 15.

    Andreev, V.K., Gaponenko, Yu.A., Goncharova, O.N., and Pukhnachov, V.V., Modern Mathematical Models of Convection,Moscow: Fizmatlit, 2008.

    Google Scholar 

  16. 16.

    Doerfler, W., Goncharova, O., and Kroener, D., Fluid Flow with Dynamic Contact Angle: Numerical Simulation, ZAMM, 2002, vol. 82, no. 3, pp. 167–176.

    MathSciNet  MATH  Article  Google Scholar 

  17. 17.

    Davis, G. de Vahl, Natural Convection of Air in a Square Cavity: A BenchMark Numerical Solution, Int. J. Num. Methods Fluids, 1983, no. 3, pp. 249–264.

    Google Scholar 

  18. 18.

    Kalitkin, N.N., Numerical Methods,Moscow: Nauka, 1978.

    Google Scholar 

  19. 19.

    Levich, V.G., Physico-Chemical Hydrodynamics, Englewood Cliffs, New Jersey: Prentice-Hall, 1962.

    Google Scholar 

Download references

Author information

Affiliations

Authors

Corresponding author

Correspondence to O. N. Goncharova.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Goncharova, O.N., Kabov, O.A. Numerical investigation of the tangential stress effects on a fluid flow structure in a partially open cavity. J. Engin. Thermophys. 22, 216–225 (2013). https://doi.org/10.1134/S1810232813030053

Download citation

Keywords

  • Vortex
  • Free Boundary
  • Tangential Stress
  • Vortex Structure
  • Open Cavity