Skip to main content
Log in

Toward modeling of CO2 multi-phase flow patterns using a stochastic multi-scale approach

  • Special Issue
  • Published:
Environmental Earth Sciences Aims and scope Submit manuscript

Abstract

Although pipe transport for storage of CO2 captured from combustion exhaust is most efficient under supercritical conditions, subcritical multi-phase transport might sometimes occur intentionally or unintentionally. To adequately assess the consequences of subcriticality, the fidelity of subcritical multi-phase turbulent transport modeling, including confinement and buoyancy effects, must be improved. For this reason, an extension of one-dimensional turbulence, a stochastic turbulence modeling strategy, for application to this regime is underway. As a step toward this extension, a turbulent liquid jet issuing from a planar channel is simulated and results are compared with liquid jet measurements and channel flow numerical simulations. A previously noted turbulence decay scaling is reproduced, suggesting that the scaling is more robust than might be supposed, given the complicating factors. This work provides a basis for extension to the primary breakup regime of liquid jets and hence to subcritical multi-phase turbulence more generally.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

Notes

  1. GeoEn-II project http://www.geoen.de.

  2. ODT Research Group - https://sites.google.com/site/odtresearch/codes.

References

  • Ashurst WT, Kerstein AR (2005) One-dimensional turbulence: Variable-density formulation and application to mixing layers. Phys Fluids 17(2):025107. doi:10.1063/1.1847413

    Google Scholar 

  • Gonzalez-Juez ED, Schmidt RC, Kerstein AR (2011) ODTLES simulation of wall-bounded turbulent flows. Phys Fluids 23(12):125102. doi:10.1063/1.3664123

    Google Scholar 

  • Hussain AKMF, Reynolds WC (1975) Measurements in fully developed turbulent channel flow. J Fluids Eng 97(4):568–580. doi:10.1115/1.3448125

    Article  Google Scholar 

  • Kerstein AR (1991) Linear-eddy modelling of turbulent transport Part 6 Microstructure of diffusive scalar mixing fields. J Fluid Mech 231:361–394. doi:10.1017/S0022112091003439

    Article  Google Scholar 

  • Kerstein AR (1999) One-dimensional turbulence: Model formulation and application to homogeneous turbulence, shear flows, and buoyant stratified flows. J Fluid Mech 392:277–334. doi:10.1017/S0022112099005376

    Article  Google Scholar 

  • Kerstein AR, Ashurst WT, Wunsch S, Nilsen V (2001) One-dimensional turbulence: Vector formulation and application to free shear flows. J Fluid Mech 447:85–109. doi:10.1017/S0022112001005778

    Article  Google Scholar 

  • Krishamoorthy N (2008) Reaction models and reaction state parameterization for turbulent non-premixed combustion. Ph.d. dissertation, Univ. of Utah

  • Lignell DO, Kerstein AR, Sun G, Monson EE (2012) Mesh adaption for efficient multiscale implementation of one-dimensional turbulence. Theor Comput Fluid Dyn. doi:10.1007/s00162-012-0267-9

  • Mansour A, Chigier N (1994) Turbulent characteristics in cylindrical liquid jets. Phys Fluids 6(10):3380–3391. doi:10.1063/1.868396

    Article  Google Scholar 

  • Martens S, Kempka T, Liebscher A, Lüth S, Möller F, Myrttinen A, Norden B, Schmidt-Hattenberger C, Zimmer M, Kühn M (2012) Europe’s longest-operating on-shore CO2 storage site at Ketzin, Germany: A progress report after three years of injection. Environ Earth Sci 67(2):323–334. doi:10.1007/s12665-012-1672-5

    Article  Google Scholar 

  • Moser RD, Kim J, Mansour NN (1999) Direct numerical simulation of turbulent channel flow up to Re τ = 590. Phys Fluids 11(4):943–945. doi:10.1063/1.869966

    Article  Google Scholar 

  • Schmidt H, Kerstein AR, Wunsch S, Nédélec R, Sayler BJ (2012) Analysis and numerical simulation of a laboratory analog of radiatively induced cloud-top entrainment. Theor Comput Fluid Dyn. doi:10.1007/s00162-012-0288-4

  • Schmidt RC, Kerstein AR, Wunsch S, Nilsen V (2003) Near-wall LES closure based on one-dimensional turbulence modeling. J Comput Phys 186(1):317–355. doi:10.1016/S0021-9991(03)00071-8

    Article  Google Scholar 

  • Wolf DH, Incropera FP, Viskanta R (1995) Measurements of the turbulent flow field in a free-surface jet of water. Exp Fluids 18(6):397–408. doi:10.1007/BF00208462

    Article  Google Scholar 

  • Wunsch S, Kerstein AR (2000) A model for layer formulation in stably stratified turbulence. Phys Fluids 13(3):702–712. doi:10.1063/1.1344182

    Article  Google Scholar 

Download references

Acknowledgments

Financial support to this study was provided by the Federal Ministry of Education and Research (BMBF) within the GeoEn-II project (03G0671A-C) and by the Deutsche Forschungsgemeinschaft (DFG) within the SPP 1276 MetStröm.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to F. T. Schulz.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schulz, F.T., Glawe, C., Schmidt, H. et al. Toward modeling of CO2 multi-phase flow patterns using a stochastic multi-scale approach. Environ Earth Sci 70, 3739–3748 (2013). https://doi.org/10.1007/s12665-013-2461-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12665-013-2461-5

Keywords

Navigation