Skip to main content
Log in

Numerical and theoretical solutions of a turbulent boussinesq fountain generated from maintained sources

  • Heat and Mass Transfer and Physical Gasdynamics
  • Published:
High Temperature Aims and scope

Abstract

This paper provides theoretical and numerical investigation carried out on a vertical up-flow model risen to investigate the jet maximum height based on buoyancy frequency parameter σi and plume function Γi. We study the characteristic solution of the maximum height reached by the fountain through an asymptotic approach. Results show a discontinuity of affinity solution approximation at Γi≫1. The fluid became very negligible and ended with a fall back. The entrainment coefficient effect had no significant influence on the topological behavior profiles development of this jet with negative buoyancy force.

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.

Similar content being viewed by others

References

  1. Turner, J.S., J. Fluid Mech., 1966, vol. 26, p. 779.

    Article  ADS  Google Scholar 

  2. Turner, J.S., J. Fluid Mech., 1986, vol. 173, p. 431.

    Article  ADS  Google Scholar 

  3. Campbell, I.H. and Turner, J.S., J. Petrol., 1989, vol. 30, p. 885.

    Article  ADS  Google Scholar 

  4. Head, J. and Wilson, L., J. Volcanol. Geotherm. Res., 2003, vol. 121, p. 155.

    Article  ADS  Google Scholar 

  5. Suzuki, Y.J., Koyagughi, T., Ogawa, M., and Hachisu, I., J. Geophys. Res., 2005, vol. 110, p. B08201.

    Article  ADS  Google Scholar 

  6. Tamar, S., Aubourg, R.Q., and Sutherland, B.R., Phys. Fluids, 2014, vol. 26, 036602.

    Article  ADS  Google Scholar 

  7. Phillipe, P., Raufaste, P., Kurowski, C., and Petitjeans, P., Phys. Fluids, 2005, vol. 17, 053601.

    Article  ADS  Google Scholar 

  8. Clanet, C., J. Fluid Mech., 1998, vol. 366, p. 333.

    Article  ADS  MathSciNet  Google Scholar 

  9. Bloomfield, L.J. and Kerr, R.C., J. Fluid Mech., 2000, vol. 424, p. 197.

    Article  ADS  Google Scholar 

  10. Kaye, N.B. and Hunt, G.R., J. Fluid Mech., 2006, vol. 558, p. 319.

    Article  ADS  Google Scholar 

  11. Bloomfield, L.J. and Kerr, R.C., J. Fluid Mech., 1998, vol. 358, p. 335.

    Article  ADS  MathSciNet  Google Scholar 

  12. Fischer, H.B., List, E.J., Koh, R.C.Y., Imberger, J., and Brooks, N.H., Mixing in Inland and Coastal Waters, New York: Academic, 1979.

    Google Scholar 

  13. Morton, B.R, Taylor, G., and Turner, J.S., Proc. R. Soc. London, Ser. A, 1956, vol. 234, p. 1.

    Article  ADS  Google Scholar 

  14. Morton, B.R., J. Fluid Mech., 1959, vol. 5, p. 151.

    Article  ADS  MathSciNet  Google Scholar 

  15. Mehaddi, R., Vauquelin, O., and Candelier, F., J. Fluid Mech., 2012, vol. 691, p. 487.

    Article  ADS  Google Scholar 

  16. Mehaddi, R., Candelier, F., and Vauquelin, O., J. Fluid Mech., 2013, vol. 717, p. 472.

    Article  ADS  MathSciNet  Google Scholar 

  17. Delichatsios, M., Combust. Sci. Technol., 1981, vol. 24, p. 191.

    Article  Google Scholar 

  18. Michaux, G. and Vauquelin, O., Phys. Fluids, 2008, vol. 20, 066601.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to I. Ben Abdellaziz.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Abdellaziz, I.B., Bouterra, M., El Cafsi, A. et al. Numerical and theoretical solutions of a turbulent boussinesq fountain generated from maintained sources. High Temp 55, 579–584 (2017). https://doi.org/10.1134/S0018151X17040022

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0018151X17040022

Navigation