Abstract
If the resolution of the computational analyses is fine enough to compute accurately the deformation of the velocity field but not fine enough to resolve the boundary layer, the k − ε model is used accomplished with special treatment of the boundary conditions. In such case in general the deformation term is non-negative, \(\overline{P_{k,l}}\geq 0\) and the porous body source terms are set to zero P kw,l = 0, P εw,l = 0.
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References
Avdeev, A.A.: Teploenergetika 3, 23 (1982)
Avdeev, A.A.: Gidrodynamika turbulentnyih techeniy puzyrkovoj dwuchfasnoj smesi. Teplofisika visokih temperature 21(4), 707–715 (1983)
Bataille, J., Lance, M.: Turbulence in multiphase flows. In: Shah, R.K., Ganic´, E.N., Yang, K.T. (eds.) Proc. of the first world congress on Experimental Heat Transfer, Fluid Mechanics, and Thermodynamics, held, September 4-9. Elsevier, Dubrovnik, Yugoslavia (1988)
Batchelor, G.K.: A new theory of the instability of a uniform fluidized bed. J. Fluid Mechanic 193, 75–110 (1988)
Borodulja, W.A., Kosmowski, I., Lilienbaum, W., Chodan, I.W., Pyljow, S.A.: Mechanische Austauschvorgänge bei einem Flüssigkeits-Gasgemisch in einem geneigten Strömungskanal, Wissenschaftliche Zeitschrift der TH Oto von Guerike Magdeburg, vol. 24(4), pp. 95–97 (1980)
Colebrook, C.F.: Turbulent flow in pipes with particular reference to the transition region between the smooth and the rough pipe lows. J. Institution Civil Engineers (1939)
Glaz, H.M., Bell, J.B., Colella, P.: Second-order projection method for the incompressible Navier-Stokes equations. Journal of Computational Physics 85, 257 (1989)
Kataoka, I., Serizawa, A.: Modeling and prediction of bubbly two phase flow. In: Proc. 2nd Int. Conf. Multiphase Flow, Kyoto, pp. MO2 11–16 (1995)
Kolev, N.I.: Multiphase Flow Dynamics. Fundamentals, 3d extended edn., vol. 1. Springer, Berlin (2007a)
Kolev, N.I.: Multiphase Flow Dynamics, Thermal and mechanical interactions, 3d extended edn., vol. 2. Springer, New York (2007b)
Lahey, R.T.: Turbulence and two phase distribution phenomena in two-phase flow. In: Proc. of Transient Phenomena in Multiphase Flow, Dubrovnik, May 24-30 (1987)
Launder, B.E., Spalding, D.B.: The numerical computation of turbulent flows. Computer methods in applied mechanics and engineering 3, 269–289 (1974)
Launder, B.E., Reece, G.J., Rodi, W.: Progress in development of a Reynolds stress turbulence closure. J. Fluid Mech. 68, 537–566 (1975)
Lee, S.L., Lahey Jr., R.T., Jones Jr., O.C.: The prediction of two-phase turbulence and phase distribution phenomena using a k-e model. Japanese J. Multiphase Flow 3(4), 335–368 (1989)
Lilienbaum, W.: Turbulente Blasenströmung im geneigten Kanal. Technische Mechanik 6 Heft 1, 68–77 (1983)
Lopez de Bertodano, M.: Turbulent bubbly two-phase flow in triangular duct. Ph.D. thesis (Nuclear Engineering) Rensselaer Polytechnic Institute (1992)
Lopez de Bertodano, M., Lahey Jr., R.T., Jones, O.C.: Phase distribution of bubbly two-phase flow in vertical ducts. Int. J. Multiphase Flow 20(5), 805–818 (1994)
Reichardt, H.: Gesetzmäßigkeiten der freien Turbulenz, VDI-Forschungsh. Nr. 414, Beilage zu “Forschung auf dem Gebiet des Ingenieurwesens“, Ausgabe B, Band 13 (Mai/Juni 1942)
Ramstorfer, F., Breitschadel, B., Steiner, H., Bree, G.: Modeling of the near-wall liquid velocity field in subcooled boiling flow. In: Proc. ASME Summer Heat Transfer Conf., HT 2005- 72182, San Francisco, CA (July 2005)
Rodi, W.: Turbulence models and their application in hydraulics – a state of the art review, IId rev. edn., University of Karlsruhe (February 1984)
Sato, Y., Sekoguchi, K.: Liquid velocity distribution in two phase bubbly flow. Int. J. Multiphase Flow 2, 79–95 (1975)
Sato, Y., Sadatomi, M., Sekoguchi, K.: Momentum and heat transfer in two-phase bubble-flow-I. Theory, Int. J. Multiphase Flow 7, 167–177 (1981)
Sekogushi, K., Fukui, H., Sato, Y.: Flow characteristics and heat transfer in vertical bubble flow. In: Bergles, A.E., Ishigai, S. (eds.) Two-Phase Flow Dynamics, Japan-U.S. Seminar. Hemisphere Publishing Corporation, Washington (1979)
Serizawa, A., Kataoka, I., Mishiyoshi, I.: Turbulence structure at air-water bubbly flow. Part 1, 2, 3, Int. J. Multiphase Flow 2(3), 221–259 (1975)
Terekhov, V.I., Pakhomov, M.A.: Numerical study of downward bubbly flow in a vertical tube. In: 4th Int. Conf. On Computational Heat and Mass Transfer, Paris (2005)
Troshko, A.A., Hassan, Y.A.: A two-equations turbulence model of turbulent bubbly flow. Int. J. of Multiphase Flow 27, 1965–2000 (2001)
Viegas, J.R., Rubesin, M.W., Horstman, C.C.: On the use of wall functions as boundary conditions for two-dimensional separated compressible flows. Technical Report AIAA-85-0180, AIAA 23rd Aerospace Sciences Meeting, Reno, Nevada (1985)
Wang, S.K., Lee, S.J., Jones, O.G., Lahey, R.T.: 3D-turbulence structure in bubbly two-phase flows. Int. J. Multiphase Flow 13(3), 327–343 (1987)
Wang, X., Sun, X.: CFD simulation of phase distribution in adiabatic upward bubbly flows using interfacial area transport equation. In: The 12th International Topical Meeting on Nuclear Reactor Thermal Hydraulics (NURETH-12), Pitsburg, Pensilvania, USA, September 30 - October 4 (2007)
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Kolev, N.I. (2011). Sources for fine resolution outside the boundary layer. In: Multiphase Flow Dynamics 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20749-5_3
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