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Universal velocity profile for bubbly flow in the boundary layer

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Języki publikacji
EN
Abstrakty
EN
In the work presented is a new approach to modelling the bubble flow in a boundary layer. The approach is based on summation of the dissipation energy coming from the shearing turbulent flow in the absence of bubbles and the dissipation contribution from the bubble motion. As a result we obtain the shear stress of equivalent single phase turbulent flow. An approximate solution to the model has been given in a form of an explicit differential equation, which can be solved with assumption of constant or variable void fraction distribution. Velocity distributions calculated using the new model have been compared against the experimental data of turbulent bubble flows with small void fraction. A good consistency of calculations performed using a new model with experiment has been obtained.
Słowa kluczowe
Rocznik
Strony
117--132
Opis fizyczny
Bibliogr. 21 poz.,Rys., wykr.,
Twórcy
  • Technical Uuniversity of Gdańsk, Faculty of Mechanical Engineering, 80-952 Gdańsk, Narutowicza 11/12
Bibliografia
  • [1] DREW D.A. AND WALLIS G.B.: Fundamentals of two-phase flow modeling, in Multiphase Science and Technology, Vol. 8, 1-67, ed. G. F. Hewitt et al., Begell House Inc., New York, 1994.
  • [2] LANCE M, LOPEZ DE BERTODANO M.: Phase distribution phenomena, in Multiphase Science and Technology, Vol. 8, 69-123, ed. Hewitt et al., Begell House Inc., New York, 1994.
  • [3] SERIZAWA A., KATAOKA I., AND MICHIYOSHI I.: Turbulence structure of air-water bubbly flow, Int. J. Multiphase Flow, 2(1975), 221-259.
  • [4] WANG SK, LEE SJ, JONES OC JR, LAHEY RT JR.: Three-dimensional turbulence structure and phase distribution measurements in bubbly two-phase flows, Int. J Multiphase Flow, 13(1987), 327-343.
  • [5] NAKORYAKOV V. E., KASHINSKY O. N., BURDUKOV A. P. AND ODNORAL V.P.: Local characteristics of upward gas-liquid flows, Int. J. Multiphase Flow, Vol. 7(1981),63-81.
  • [6] LIU T.J.: Bubble size and entrance length effects on void development in a vertical channel, Int. J. Multiphase Flow, Vol. 19(1993), 99-113.
  • [7] MOURSALI E., MARIÉ JL AND BATAILLE J.: An upward turbulent bubbly boundary layer along a vertical flat plate, Int. J. Multiphase Flow, Vol. 21, 1(1995), 107-117.
  • [8] MARIÉ JL, MOURSALI E, TRAN-TONG S.: Similarity law and turbulence intensity profiles in a bubble layer at low void fractions, Int. J. Multiphase Flow, Vol. 23(1997), 227-247.
  • [9] DE BERTODANO M. L.: Development of a two-phase law of the wall for bubbly flows, Proc. of 2nd Int. Conference on Multiphase Flow '95, Kyoto.
  • [10] AFSHAR M. AND BALIGA B. R.: A logarithmic law of the wall for upward, Turbulent, Bubbly Two-Phase Flow, Proc. 2nd Int. Symposium on Turbulence, Heat and Mass Transfer, Delft, Netherlands, ed. K. Hanjalić, T. W. J. Peters, 1997.
  • [11] MIKIELEWICZ D.: A new model of a turbulent two-phase disperse flow in the boun- dary layer, Proc. 2nd Int. Symp. on Two-Phase Flow Modelling and Experimentation, Pisa, Italy, May 23-26, 1999.
  • [12] MIKIELEWICZ D.: Analysis of lateral motion of bubbles in the boundary layer, Proc. of the Conf. "Thermodynamics - Progress and Applications", Gdańsk, May 12-13, 2000 (in Polish).
  • [13] MIKIELEWICZ D.: Modelling of turbulent two-phase flow, Int. Symp. on Multiphase Flow and Transport Phenomena, Antalya, Turkey, November 5-10, 2000.
  • [14] MIKIELEWICZ D.: Analysis of forces acting on bubbles in turbulent boundary layer, Proc. of the Polish Conf. on Multiphase Flows, Gdańsk, 2000 (in Polish).
  • [15] POLYANIN A. D., DILMAN V. V.: Methods of modeling equations and analogies in chemical engineering, CRC Press Inc. Boca Raton, Florida, 1994.
  • [16] MORAGA F. J., BONETTO F. J., LAHEY R. T. Lateral forces on spheres in turbulent uniform shear flow, Int. J. Multiphase Flow, 25(1999), 1321-1372.
  • [17] MIKIELEWICZ D.: Added mass in the lateral motion of bubbles in the boundary layer, Proc. X Polish-German Symposium Research-Practice-Education, Gdańsk, May 18-19, 2000.
  • [18] MIKIELEWICZ D.: A new model of bubble - iiquid interaction in the boundary layer, Proc. 2nd Int. Conference on Heat Transfer and Transport Phenomena in Multiphase Systems, May 18-22, 1999, Kielce, Poland.
  • [19] ŽUN I.: The transverse migration of bubbles influenced by walls in vertical bubbly flow, Int. J. Multiphase Flow, Vol. 6(1980), 583-588.
  • [20] BANKOFF S. G.: A variable density single-fluid model for two-phase flow with particular reference to steam-water flow, J. Heat Transfer, 82(1960), 265-270.
  • [21] TOMIYAMA A., KATAOKA I., ŽUN I. AND SAKAGUCHI T: Drag coefficients of single bubbles under normal and micro gravity conditions, JSME Int. J., Ser. B, 41, 2(1998).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BGPK-0833-3469
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