Skip to main content
SpringerLink
Log in

Turbulence and Bubble Break up in Slug Flow with Wall Injection

  • Published:
Flow, Turbulence and Combustion Aims and scope Submit manuscript

Abstract

The present work investigates experimentally the changes on the properties of horizontal slug flows subject to fluid injection at the wall. Measurements include data on global flow rates, pressure drop and local mean and fluctuating velocity profiles for nine different conditions. The properties of the two-phase flow are measured through a Shadow Sizer system and laser-based sensors. Two distinct flow transpiration rates are studied, \(v_{wi}^{++}\) = v w / U m = 0.0005 and 0.001. The effects of flow transpiration were observed to induce bubble break-up and large changes in the passage frequency and characteristic lengths of the unit cells. In addition to the two-phase flow results, single-phase flow measurements are presented with a view to compare the different turbulent effects introduced by the second phase. The work also proposes modifications in the models of Dukler and Hubbard (Ind. Eng. Chem. Fund. 14 337–347 (1975)) and Orell (Chem. Eng. Sci. 60 1371–1381 (2005)) so that fluid injection at the wall can be accounted for. All theoretical predictions are compared with the experimental data.

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

Access this article

Log in via an institution

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
Fig. 17
Fig. 18
Fig. 19
Fig. 20

Similar content being viewed by others

References

  1. Townsend, A.A.: The structure of turbulent shear flow. Cambridge University Press (1976)

  2. Loureiro, J.B.R., Silva Freire, A.P.: Slug flow in horizontal pipes with transpiration at the wall. Am. J. Phys. Conference Series (Online) 318 (2011)

  3. Dukler, A.E., Hubbard, M.G.: A model for gas-liquid slug flow in horizontal and near horizontal tubes. Ind. Eng. Chem. Fund. 14, 337–347 (1975)

    Article  Google Scholar 

  4. Orell, A.: Experimental validation of a simple model for gas-liquid slug flow in horizontal pipes. Chem. Eng. Sci. 60, 1371–1381 (2005)

    Article  Google Scholar 

  5. Fabre, J., Liné, A.: Modeling of two-phase slug flow. Ann. R. Fluid Mech. 24, 21–46 (1992)

    Article  MATH  Google Scholar 

  6. Matamoros, L.M.C., Loureiro, J.B.R., Silva Freire, A.P.: Length-area-volume of long bubbles in horizontal slug flow. Int. J. Multiphase Flow 65, 24–30 (2014)

    Article  Google Scholar 

  7. Ujang, P.M., Lawrence, C.J., Hale, C.P., Hewitt, G.: Slug initiation and evolution in two-phase horizontal flow. Int. J. Multiphase Flow 32, 527–552 (2006)

    Article  MATH  Google Scholar 

  8. Berman, A.S.: Laminar flow in channels with porous walls. J. App. Physics 24, 1232–1235 (1953)

    Article  MathSciNet  MATH  Google Scholar 

  9. Haldenwang, P.: Laminar flow in a two-dimensional plane channel with local pressure-dependent crossflow. J. Fluid Mech. 593, 463–473 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  10. Chellam, S., Liu, M.: Effect of slip on existence, uniqueness, and behavior of similarity solutions for steady incompressible laminar flow in porous tubes and channels. Phys. Fluids 18, 083601 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  11. Erdogan, M.E., Imrak, C.E.: On the axial flow of an incompressible viscous fluid in a pipe with a porous boundary. Acta Mech. 178, 187–197 (2005)

    Article  MATH  Google Scholar 

  12. Tsangaris, S., Kondaxakis, D., Vlachakis, N.W.: Exact solution for flow in a porous pipe with unsteady wall suction and/or injection. Comm. Nonlinear Sci. Num. Simulation 12, 1181–1189 (2007)

    Article  MATH  Google Scholar 

  13. Stevenson, T.N.: A Law of the wall for turbulent boundary layers with suction or injection. Cranfield Rep. Aero, vol. 166. The College of Aeronautics, Cranfield (1963)

  14. Simpson, R.L.: The turbulent boundary layer on a porous plate: an experimental study of the fluid dynamics with injection and suction. Ph.D. Thesis. Stanford University, Stanford (1967)

  15. Silva Freire, A.P.: An asymptotic solution for transpired incompressible turbulent boundary layers. Int. J. Heat Mass Transfer 31, 101l-1021 (1988)

    MATH  Google Scholar 

  16. Schlichting, H.: Boundary layer theory. McGraw Hill (1979)

  17. Nikuradse, J.: Gesetzmässigkeiten der turbulenten strömung in glatten Rohren, Forschung ad Geb Ing, No 356 (1932)

  18. Ligrani, P.M., Moffat, R.J.: Structure of transitionally rough and fully rough turbulent boundary layers. J. Fluid Mech. 162, 69–98 (1986)

    Article  MathSciNet  Google Scholar 

  19. Dumitrescu, D.T.: Stromung an einer luftblase im senkrechten Rohr. Z. angew. Math. Mech. 23, 139–149 (1943)

    Google Scholar 

  20. Davies, R.M., Taylor, G.I.: The mechanics of large bubbles rising through extended liquids and through liquids in tubes. Proc. Roy. Soc. 200A, 375–390 (1950)

    Article  Google Scholar 

  21. Nicklin, D.J., Wilkes, J.O., Davidson, J.F.: Two-phase flow in vertical tubes. Trans. Inst. Chem. Eng. 40, 61–68 (1962)

    Google Scholar 

  22. Wallis, G.B.: One Dimensional Two-Phase Flow. McGraw-Hill (1969)

  23. Taitel, Y., Barnea, D.: A consistent approach for calculating pressure drop in inclined slug flow. Chem. Eng. Sci. 45, 1199–1206 (1990)

    Article  Google Scholar 

  24. Andreussi, P., Bendiksen, K.: An investigation of void fraction in liquid slugs for horizontal and inclined gas-liquid pipe flow. Int. J. Multiphase Flow 15, 937–946 (1989)

    Article  Google Scholar 

  25. Andreussi, P., Minervini, A., Paglianti, A.: Mechanistic model of slug flow in near-horizontal pipes. A.I.Ch.E. J. 39, 1281–1291 (1993)

    Article  Google Scholar 

  26. Zabaras, G.B.: Prediction of slug frequency for Gas/Liquid flows. SPE J. 5, 252–258 (2000)

    Article  Google Scholar 

  27. Olson, R., Eckert, E.: Experimental studies of turbulent flow in a porous circular tube with uniform fluid injection through the tube wall. J. Appl. Mech. 33, 7–17 (1966)

    Article  Google Scholar 

  28. Su, Z., Gudmunsson, J.: Perforation inflow reduces frictional pressure loss in horizontal wellbores. J. Pet. Sci. Eng. 19, 223–232 (1998)

    Article  Google Scholar 

  29. Ouyang, L.-B., Petalas, N., Arbabi, S., Schroeder, D.E., Aziz, K.: An Experimental Study of Single-Phase Fluid Flow in Horizontal Wells. SPE Western Regional Meeting, Bakersfield (1998)

Download references

Acknowledgments

In the course of the research, JBRL benefited from a CNPq Research Fellowship (Grant No 308445/2013-9) and from further financial support through Grants CNPq 458249/2014-9, FAPERJ E-26/102.212/2013 and FAPERJ E-26/010.002857/2014. APSF is grateful to the Brazilian National Research Council (CNPq) for the award of a Research Fellowship (Grant No 305338/2014-5). The work was financially supported by CNPq through Grant No 477293/2011-5 and by the Rio de Janeiro Research Foundation (FAPERJ) through Grant E-26/102.937/2011.

Author information

Authors and Affiliations

  1. Programa de Engenharia Mecanica (COPPE/UFRJ), Universidade Federal do Rio de Janeiro, C.P. 68503, 21941-972, Rio de Janeiro, Brazil

    Francisco J. S. Bandeira, Gabriel F. N. Gonçalves, Juliana B. R. Loureiro & Atila P. Silva Freire

Authors
  1. Francisco J. S. Bandeira
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Gabriel F. N. Gonçalves
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Juliana B. R. Loureiro
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Atila P. Silva Freire
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Juliana B. R. Loureiro.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bandeira, F.J.S., Gonçalves, G.F.N., Loureiro, J.B.R. et al. Turbulence and Bubble Break up in Slug Flow with Wall Injection. Flow Turbulence Combust 98, 923–945 (2017). https://doi.org/10.1007/s10494-016-9786-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10494-016-9786-6

Keywords

Search

Navigation