Skip to main content
Log in

Turbulent ‘stopping plumes’ and plume pinch-off in uniform surroundings

  • Original Article
  • Published:
Environmental Fluid Mechanics Aims and scope Submit manuscript

Abstract

Observations of turbulent convection in the environment are of variously sustained plume-like flows or intermittent thermal-like flows. At different times of the day the prevailing conditions may change and consequently the observed flow regimes may change. Understanding the link between these flows is of practical importance meteorologically, and here we focus our interest upon plume-like regimes that break up to form thermal-like regimes. It has been shown that when a plume rises from a boundary with low conductivity, such as arable land, the inability to maintain a rapid enough supply of buoyancy to the plume source can result in the turbulent base of the plume separating and rising away from the source. This plume ‘pinch-off’ marks the onset of the intermittent thermal-like behavior. The dynamics of turbulent plumes in a uniform environment are explored in order to investigate the phenomenon of plume pinch-off. The special case of a turbulent plume having its source completely removed, a ‘stopping plume’, is considered in particular. The effects of forcing a plume to pinch-off, by rapidly reducing the source buoyancy flux to zero, are shown experimentally. We release saline solution into a tank filled with fresh water generating downward propagating steady turbulent plumes. By rapidly closing the plume nozzle, the plumes are forced to pinch-off. The plumes are then observed to detach from the source and descend into the ambient. The unsteady buoyant region produced after pinch-off, cannot be described by the power-law behavior of either classical plumes or thermals, and so the terminology ‘stopping plume’ (analogous to a ‘starting plume’) is adopted for this type of flow. The propagation of the stopping plume is shown to be approximately linearly dependent on time, and we speculate therefore that the closure of the nozzle introduces some vorticity into the ambient, that may roll up to form a vortex ring dominating the dynamics of the base of a stopping plume.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. Ahrens CD (2000) Essentials of meteorology: an invitation to the atmosphere. Cengage Learning, Stamford

    Google Scholar 

  2. Backhaus JO, Kampf J (1999) Simulations of sub-mesoscale oceanic convection and ice–ocean interactions in the Greenland sea. Deep-Sea Res II 46:1427–1455

    Article  Google Scholar 

  3. Bluth GJS, Shannon JM, Watson IM, Prata AJ, Realmuto VJ (2007) Development of an ultra-violet digital camera for volcanic \(\text{ SO }_{2}\) imaging. J Volcanol Geotherm Res 161:47–56

    Article  Google Scholar 

  4. Castaing B, Gunaratne G, Heslot F, Kadanoff L, Libchaber A, Thomae S, Wu XZ, Zaleski S, Zanetti G (1989) Scaling of hard thermal turbulence in Rayleigh–Bénard convection. J Fluid Mech 204:1–30

    Article  Google Scholar 

  5. Cetegen BM, Ahmed TA (1993) Experiments on the periodic instability of buoyant plumes and pool fires. Combust Flame 93:157–184

    Article  Google Scholar 

  6. Cetegen BM, Kasper KD (1997) Experiments on the oscillatory behaviour of buoyant plumes of helium and helium–air mixtures. Phys Fluids 8:2974–2984

    Article  Google Scholar 

  7. Cetegen BM (1997) Behavior of naturally unstable and periodically forced axisymmetric buoyant plumes of helium and helium–air mixtures. Phys Fluids 9:3742–3752

    Article  Google Scholar 

  8. Dalziel SB (2012) DigiFlow. DL Research Partners. http://www.damtp.cam.ac.uk/lab/digiflow

  9. Fraenkel LE (1970) On steady vortex rings of small cross-section in an ideal fluid. Proc R Soc A 316:29–62

    Article  Google Scholar 

  10. Fraenkel LE (1972) Examples of steady vortex rings of small cross-section in an ideal fluid. J Fluid Mech 51:119–135

    Article  Google Scholar 

  11. Grossmann S, Lohse D (2000) Scaling in thermal convection: a unifying theory. J Fluid Mech 407:27–56

    Article  Google Scholar 

  12. Hill MJM (1894) On a spherical vortex. Phil Trans R Soc Lond A 185:231–245

    Article  Google Scholar 

  13. Holland PR, Hewitt RE, Scase MM (2014) Wave breaking in dense plumes. J Phys Oceanogr 44:790–800

    Article  Google Scholar 

  14. Hollerback R, Jones CA (1993) Influence of the earth’s inner core on geomagnetic fluctuations and reversals. Nature 365:541–543

    Article  Google Scholar 

  15. Horsch GM, Stefan HG (1988) Convective circulation in littoral water due to surface cooling. Limnol Oceanogr 33:1068–1083

    Article  Google Scholar 

  16. Howard LN (1964) Convection at high Rayleigh number. In: Gortler H (ed) Proceedings 11th international congress on applied mechanics. Springer, Munich, pp 1109–1115

    Google Scholar 

  17. Hübner J (2004) Buoyant plumes in a turbulent environment. PhD Thesis. University of Cambridge

  18. Hunt GR, Kaye NB (2005) Lazy plumes. J Fluid Mech 533:329–338

    Article  Google Scholar 

  19. Hunt GR, Linden PF (2001) Steady-state flows in an enclosure ventilated by buoyancy forces assisted by wind. J Fluid Mech 426:355–386

    Article  Google Scholar 

  20. Hunt JCR (1998) Eddy dynamics and kinematics of convective turbulence. In: Plate EJ, Fedorovich E (eds) Buoyant convection in geophysical flows. Kluwer, Dordecht, pp 41–82

    Chapter  Google Scholar 

  21. Hunt JCR, Kaimal JC, Gaynor JE (1988) Eddy structure in the convective boundary layer-new measurements and new concepts. Q J R Met Soc 114:827–858

    Google Scholar 

  22. Hunt JCR, Vrieling AJ, Nieuwstadt FTM, Fernando HJS (2003) The influence of the thermal diffusivity of the lower boundary on eddy motion in convection. J Fluid Mech 491:183–205

    Article  Google Scholar 

  23. Lei C, Patterson JC (2002) Natural convection in a reservoir sidearm subject to solar radiation: experimental observations. Exp Fluids 32:590–599

    Article  Google Scholar 

  24. Morton BR, Taylor GI, Turner JS (1956) Turbulent gravitational convection from maintained and instantaneous sources. Proc R Soc Lond A 234:1–32

    Article  Google Scholar 

  25. Norbury J (1972) A family of steady vortex rings. J Fluid Mech 57:417–431

    Article  Google Scholar 

  26. Papanicolaou PN, List EJ (1988) Investigations of round vertical turbulent buoyant jets. J Fluid Mech 195:341–391

    Article  Google Scholar 

  27. Prata AJ, Bernardo C (2008) Retrieval of SO\(_{2}\) from a ground-based thermal infrared imaging camera. NILU internal report

  28. Rose WI (1987) Volcanic activity at Santiaguito Volcano, 1976–1984. Spec Pap Geol Soc Am 212:101–111

    Google Scholar 

  29. Scase MM, Caulfield CP, Dalziel SB, Hunt JCR (2006) Time-dependent plumes and jets with decreasing source strengths. J Fluid Mech 563:443–461

    Article  Google Scholar 

  30. Scase MM, Caulfield CP, Dalziel SB (2008) Temporal variation of non-ideal plumes with sudden reductions in buoyancy flux. J Fluid Mech 600:181–199

    Article  Google Scholar 

  31. Scase MM (2009) Evolution of volcanic eruption columns. J Geophys Res 114:F04003

    Google Scholar 

  32. Scase MM, Hewitt RE (2012) Unsteady turbulent plume models. J Fluid Mech 697:455–480

    Article  Google Scholar 

  33. Scorer RS (1954) The nature of convection as revealed by soaring birds and dragonflies. Q J R Met Soc 80:68–77

    Article  Google Scholar 

  34. Scorer RS (1957) Experiments on convection of isolated masses of buoyant fluid. J Fluid Mech 2:583–594

    Article  Google Scholar 

  35. Townsend AA (1959) Temperature fluctuations over a heated horizontal surface. J Fluid Mech 5:209–241

    Article  Google Scholar 

  36. Turner JS (1962) The ‘starting plume’ in neutral surroundings. J Fluid Mech 13:356–368

    Article  Google Scholar 

  37. Unger DR, Muzzio FJ (1999) Laser-induced fluorescence technique for the quantification of mixing in impinging jets. AIChE J 45:2477–2486

    Article  Google Scholar 

  38. Uscinski BJ, Kaletsky A, Stanek CJ, Rouseff D (2003) An acoustic shadowgraph trial to detect convection in the arctic. Waves Random Media 13:107–123

    Article  Google Scholar 

  39. Wang RQ, Law AWK, Adams EE, Fringer OB (2011) Large-eddy simulation of starting buoyant jets. Environ Fluid Mech 11:591–609

    Article  Google Scholar 

  40. Witham F, Phillips JC (2008) The dynamics and mixing of turbulent plumes in a turbulently convecting environment. J Fluid Mech 602:39–61

    Article  Google Scholar 

Download references

Acknowledgments

AK acknowledges support from Engineering and Physical Sciences Research Council (EPSRC) studentship. AK and MMS would like to gratefully acknowledge the very constructive input of the Referees.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Athina Kattimeri.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kattimeri, A., Scase, M.M. Turbulent ‘stopping plumes’ and plume pinch-off in uniform surroundings. Environ Fluid Mech 15, 923–937 (2015). https://doi.org/10.1007/s10652-014-9387-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10652-014-9387-7

Keywords

Navigation