Advertisement

Journal of Mechanical Science and Technology

, Volume 33, Issue 6, pp 2693–2709 | Cite as

Two-dimensional two-fluid model for air-oil wavy flow in horizontal tube

  • Hong-Cheol Shin
  • Hyeon-Seok Seo
  • Sung-Min KimEmail author
Article
  • 35 Downloads

Abstract

This study concerns the development of a two-dimensional two-fluid model for wavy flows in horizontal tubes. To deal with the curved walls of the liquid and gas phases and the gas-liquid interface simultaneously, the bipolar coordinate system was used. Experiments on air-oil mixture flow in horizontal tubes with diameters of 20 and 40 mm were conducted to observe wavy flow patterns accompanying the two-dimensional (2D) and Kelvin-Helmholtz (KH) waves and to measure the pressure gradient under different flow conditions. Two different previous correlations for the interfacial friction factor were employed in the model for predicting the wavy flows with 2D and KH waves. Predictions of the model of the liquid film height, the average values of wall shear stresses of each phase, and the average interfacial shear stress were compared for different diameters and different superficial gas and liquid Reynolds numbers. Also presented are detailed predictions of the model for four different flow conditions, including the local values of interfacial shear stress, wall shear stress of the liquid phase, interfacial friction factor, liquid film height, and two-dimensional velocity distribution in the liquid phase at the cross-section of the tube.

Keywords

Two-phase flow Pressure gradient Liquid holdup Interfacial shear stress Two-dimensional wave Kelvin-Helmholtz wave 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Notes

Acknowledgments

This work was supported by a Korea Agency for Infrastructure Technology Advancement (KAIA) grant funded by the Ministry of Land, Infrastructure and Transport (Grant 1615009756).

References

  1. [1]
    V. P. Carey, Liquid-vapor Phase-change Phenomena: An Introduction to the Thermophysics of Vaporization and Condensation Processes in Heat Transfer Equipment, Hemisphere Publishing Corp., Washington D.C., USA (1992).Google Scholar
  2. [2]
    J. G. Collier and J. R. Thome, Convective Boiling and Condensation, 3rd Ed., Clarendon Press, Oxford, NY, USA (1994).Google Scholar
  3. [3]
    S. M. Ghiaasiaan, Two-phase Flow, Boiling, and Condensation: In Conventional and Miniature Systems, Cambridge U. Press, New York, NY, USA (2007).CrossRefzbMATHGoogle Scholar
  4. [4]
    T. W. F. Russell, A. W. Etchells, R. H. Jensen and P. J. Arruda, Pressure drop and holdup in stratified gas-liquid flow, AIChE J., 20 (4) (1974) 664–669.CrossRefGoogle Scholar
  5. [5]
    Y. Taitel and A. E. Dukler, A model for predicting flow regime transitions in horizontal and near horizontal gasliquid flow, AIChE J., 22 (1) (1976) 47–55.CrossRefGoogle Scholar
  6. [6]
    J. E. Kowalski, Wall and interfacial shear stress in stratified flow in a horizontal pipe, AIChE J., 33 (2) (1987) 274- 281.Google Scholar
  7. [7]
    P. L. Spedding and N. P. Hand, Prediction in stratified gasliquid co-current flow in horizontal pipelines, International J. of Heat and Mass Transfer, 40 (8) (1997) 1923–1935.CrossRefGoogle Scholar
  8. [8]
    X. T. Chen, X. D. Cai and J. P. Brill, Gas-liquid stratifiedwavy flow in horizontal pipelines, J. of Energy Resources Technology, 119 (4) (1997) 209–216.CrossRefGoogle Scholar
  9. [9]
    T. J. Hanratty and M. J. McCready, Phenomenological understanding of gas-liquid separated flows, Proc. of the Third International Workshop on Two-Phase Flow Fundamentals, Imperial College, London, UK (1992).Google Scholar
  10. [10]
    S. Ghorai and K. D. P. Nigam, CFD modeling of flow profiles and interfacial phenomena in two-phase flow in pipes, Chemical Engineering and Processing, 45 (2006) 55–65.CrossRefGoogle Scholar
  11. [11]
    T. Höhne and J.-P. Mehlhoop, Validation of closure models for interfacial drag and turbulence in numerical simulations of horizontal stratified gas-liquid flows, International J. of Multiphase Flow, 62 (2014) 1–16.MathSciNetCrossRefGoogle Scholar
  12. [12]
    O. Shoham and Y. Taitel, Stratified turbulent-turbulent gasliquid flow in horizontal and inclined pipes, AIChE J., 30 (3) (1984) 377–385.CrossRefGoogle Scholar
  13. [13]
    F. Meknassi, R. Benkirane, A. Liné and L. Masbernat, Numerical modeling of wavy stratified two-phase flow in pipe, Chemical Engineering Science, 55 (2000) 4681–4697.CrossRefGoogle Scholar
  14. [14]
    P. A. B. de Smpaio, J. L. H. Faccini and J. Su, Modeling of stratified gas-liquid two-phase flow in horizontal circular pipes, International J. of Heat and Mass Transfer, 51 (2008) 2752–2761.CrossRefzbMATHGoogle Scholar
  15. [15]
    F. P. Incropera, D. P. Dewitt, T. L. Bergman and A. S. Lavine, Fundamentals of Heat and Mass Transfer, 7th Ed., Wiley, Hoboken, NJ, USA (2011).Google Scholar
  16. [16]
    S. S. Agrawal, G. A. Gregory and G. W. Govier, An analysis of horizontal stratified two phase flow in pipes, The Canadian J. of Chemical Engineering, 51 (1973) 280–286.CrossRefGoogle Scholar
  17. [17]
    A. W. Etchells, Stratified Horizontal Two Phase Flow in Pipe, Doctoral Dissertation, University of Delaware, Newark, DE, USA (1970).Google Scholar
  18. [18]
    L. S. Cohen and T. J. Hanratty, Effect of waves at a gasliquid interface on a turbulent air flow, J. of Fluid Mechanics, 31 (3) (1968) 467–479.CrossRefGoogle Scholar
  19. [19]
    G. B. Wallis, Annular two-phase flow Part 1: A simple theory, J. of Basic Engineering, 92 (1) (1970) 59–72.CrossRefGoogle Scholar
  20. [20]
    N. Andritsos and T. J. Hanratty, Influence of interfacial waves in stratified gas-liquid flows, AIChE J., 33 (3) (1987) 444–454.CrossRefGoogle Scholar
  21. [21]
    D. Barnea and Y. Taitel, Structural and interfacial stability of multiple solutions for stratified flow, International J. of Heat and Mass Transfer, 18 (6) (1992) 821–830.zbMATHGoogle Scholar
  22. [22]
    M. Ottens, H. C. J. Hoefsloot and P. J. Hamersma, Correlations predicting liquid hold-up and pressure gradient in steady-state (nearly) horizontal co-current gas-liquid pipe flow, Chemical Engineering Research and Design, 79 (5) (2001) 581–592.CrossRefGoogle Scholar
  23. [23]
    I. Park, S. M. Kim and I. Mudawar, Experimental measurement and modeling of downflow condensation in a circular tube, International J. of Heat Mass Transfer, 57 (2013) 567–581.CrossRefGoogle Scholar
  24. [24]
    C. Tzotzi and N. Andritsos, Interfacial shear stress in wavy stratified gas-liquid flow in horizontal pipes, International J. of Multiphase Flow, 54 (2013) 43–54.CrossRefGoogle Scholar
  25. [25]
    J. H. Ferziger and M. Perić, Computational Methods for Fluid Dynamics, Springer Science & Business Media, New York, USA (2012).zbMATHGoogle Scholar
  26. [26]
    E. W. Lemmon, M. L. Huber and M. O. McLinden, Reference fluid thermodynamic and transport properties, REFPROP Version 8.0, NIST, MD, USA (2007).Google Scholar
  27. [27]
    C. J. Hoogendoorn, Gas-liquid flow in horizontal pipes, Chemical Engineering Science, 9 (1959) 205–217.CrossRefGoogle Scholar
  28. [28]
    W. H. McAdams, W. K. Woods and L. C. Heroman, Vaporization inside horizontal tubes - II: Benzene-oil mixture, Transactions of ASME, 64 (1942) 193–200.Google Scholar
  29. [29]
    W. W. Akers, H. A. Deans and O. K. Crosser, Condensing heat transfer within horizontal tubes, Chemical Engineering Progress, 54 (1958) 89–90.Google Scholar
  30. [30]
    A. E. Dukler, M. Wicks and R. G. Cleaveland, Pressure drop and hold up in two-phase flow, AIChE J., 10 (1964) 38–51.CrossRefGoogle Scholar
  31. [31]
    D. R. H. Beattie and P. B. Whalley, A simple two-phase frictional pressure drop calculation method, International J. of Multiphase Flow, 8 (1982) 83–87.CrossRefGoogle Scholar
  32. [32]
    S. Lin, C. C. K. Kwok, R. Y. Li, Z. H. Chen and Z. Y. Chen, Local frictional pressure drop during vaporization of R-12 through capillary tubes, International J. of Multiphase Flow, 17 (1991) 95–102.CrossRefzbMATHGoogle Scholar
  33. [33]
    R. W. Lockhart and R. C. Martinelli, Proposed correlation of data for isothermal two-phase, two-component flow in pipes, Chemical Engineering Progress, 45 (1949) 39–48.Google Scholar
  34. [34]
    L. Friedel, Improved friction pressure drop correlations for horizontal and vertical two-phase pipe flow, Proc. of European Two-phase Group Meeting, Ispra, Italy (1979) Paper E2.Google Scholar
  35. [35]
    H. Müller-Steinhagen and K. Heck, A simple friction pressure drop correlation for two-phase flow in pipes, Chemical Engineering and Process: Process Intensification, 20 (6) (1986) 297–308.CrossRefGoogle Scholar
  36. [36]
    D. S. Jung and R. Radermacher, Prediction of pressure drop during horizontal annular flow boiling of pure and mixed refrigerants, International J. of Heat and Mass Transfer, 32 (1989) 2435–2446.CrossRefGoogle Scholar
  37. [37]
    P. L. Spedding and J. J. J. Chen, Correlation of holdup in two-phase flow, ANSAAS, 49 (1979) 16.Google Scholar
  38. [38]
    P. L. Spedding and J. J. J. Chen, Holdup in two-phase flow, International J. of Multiphase Flow, 10 (3) (1984) 307–339.CrossRefGoogle Scholar
  39. [39]
    P. J. Hamersma and J. Hart, A pressure drop correlation for gas/liquid pipe flow with a small liquid holdup, Chemical Engineering Science, 42 (5) (1987) 1187–1196.CrossRefGoogle Scholar
  40. [40]
    J. Hart, P. J. Hamersma and J. M. H. Fortuin, Correlations predicting frictional pressure drop and liquid holdup during horizontal gas-liquid pipe flow with a small liquid holdup, International J. of Multiphase Flow, 15 (6) (1989) 947–967.CrossRefGoogle Scholar
  41. [41]
    B. S. Shiralkar, Two-phase Flow and Heat Transfer in Multirod Geometrics: A Study of the Liquid Film in Adiabatic Air-water Flow with and without Obstacles, No. GEAP-10248, General Electric Corporation, San Jose, California, Atomic Power Equipment Department (1970).Google Scholar
  42. [42]
    M. Birvalski, M. J. Tummers, R. Delfos and R. A. W. M. Henkes, PIV measurement of waves and turbulence in stratified horizontal two-phase flow, International J. of Multiphase Flow, 62 (2014) 161–173.CrossRefGoogle Scholar
  43. [43]
    A. A. Ayati, J. Kolaas, A. Jensen and G. W. Johnson, A PIV investigation of stratified gas-liquid flow in a horizontal pipe, International J. of Multiphase Flow, 61 (2014) 129–143.CrossRefGoogle Scholar
  44. [44]
    I. H. Rodriguez, H. F. V. Peña, A. B. Riaño, R. A. W. M. Henkes and O. M. H. Rodriguez, Experiments with a wiremesh sensor for stratified and dispersed oil-brine pipe flow, International J. of Multiphase Flow, 70 (2015) 113–125.CrossRefGoogle Scholar
  45. [45]
    E. Schleicher, T. B. Aydin, R. E. Vieira, C. F. Torres, E. Pereyra, C. Sarica and U. Hampel, Refined reconstruction of liquid-gas interface structures for stratified two-phase flow using wire-mesh sensor, Flow Measurement and Instrumentation, 46 (2015) 230–239.CrossRefGoogle Scholar
  46. [46]
    W. Liu, T. Chao and D. Feng, Local characteristic of horizontal air-water two-phase flow by wire-mesh sensor, Transactions of the Institute of Measurement and Control, 40 (3) (2018) 746–761.CrossRefGoogle Scholar
  47. [47]
    N. Brauner, J. Rovinsky and D. M. Maron, Determination of the interface curvature in stratified two-phase systems by energy considerations, International J. of Multiphase Flow, 22 (6) (1996) 1167–1185.CrossRefzbMATHGoogle Scholar
  48. [48]
    D. Gorelik and N. Brauner, The interface configuration in two-phase stratified pipe flows, International Journal of Multiphase Flow, 25 (1999) 977–1007.CrossRefzbMATHGoogle Scholar
  49. [49]
    A. Ullmann and N. Brauner, Closure relations for two-fluid models for two-phase stratified smooth and stratified wavy flows, International J. of Multiphase Flow, 32 (2006) 82–105.CrossRefzbMATHGoogle Scholar
  50. [50]
    H.-Q. Zhang and C. Sarica, A model for wetted-wall fraction and gravity center of liquid film in gas/liquid pipe flow, SPE J., 16 (3) (2011) 692–697.CrossRefGoogle Scholar
  51. [51]
    T. Ahn, J. Moon, B. Bae, J. Jeong, B. Bae and B. Yun, An empirical model of the wetted wall fraction in separated flows of horizontal and inclined pipes, Chemical Engineering Science, 178 (2018) 260–272.CrossRefGoogle Scholar
  52. [52]
    S. Komori, R. Nagaosa and Y. Murakami, Turbulence structure and mass transfer across a sheared sir-water interface in wind-driven turbulence, J. of Fluid Mechanics, 249 (1993) 161–183.CrossRefGoogle Scholar
  53. [53]
    C. Lorencez, M. Nasr-Esfahany and M. Kawaji, Turbulence structure and prediction of interfacial heat and mass transfer in wavy-stratified flow, AIChE J., 43 (6) (1997) 1426–1435.CrossRefzbMATHGoogle Scholar
  54. [54]
    E. Stamatiou, P. M.-Y. Chung and M. Kawaji, Turbulence modification due to wave action at low Reynolds numbers in horizontal open-channel flow, Nuclear Technology, 134 (1) (2001) 84–96.CrossRefGoogle Scholar

Copyright information

© KSME & Springer 2019

Authors and Affiliations

  1. 1.School of Mechanical EngineeringSungkyunkwan UniversitySuwonKorea
  2. 2.Chassis-Trim Analysis TeamHyundai MobisYonginKorea

Personalised recommendations