Turbulent two-phase flows

Chenoweth, J. M. and Martin, M. W. Trans. Am. Soc. Mech. Eng., Paper 55 PET-9 (1955). A pressure drop correlation for turbulent two-phase flow of gas-liquid mixtures in horizontal pipes. 

Slug flow. As a very complex, unsteady, turbulent two-phase flow, slug flow typically has high acceleration and decelerations of liquid, which causes steep pressure drops. Dukler and Hubbard (1975) considered the basic hydrodynamic structure of a slug unit as consisting of several regions (Fig. 3.39) ... 

Issa, R., and Gosman, A. D., The Computation of Three-Dimensional Turbulent Two-Phase Flow in Mixer Vessels . Proc. 2nd Int. Conf. Num. Meth. Lam. Turb. Flows, Venice, Italy (1981). 

Gosman, A.D., Lekakou, C., Politis, S., Issa, R.I. and Looney, M.K. (1992), Multi-dimensional modeling of turbulent two-phase flows in stirred vessels, AIChE J., 38, 1946-1956. 

Gosman AD, Lekakou C, Polits S, Issa RI, Looney MK (1992) Multidimensional Modeling of Turbulent Two-Phase Flows in Stirred Vessels. AIChE J 38(12) 1946-1956... 

Shames IH (1962) Mechanics of fluids. McGraw-Hill, New York Simonin O (1990) Eulerian formulation for particle dispersion in turbulent two-phase flows. Proc 5th workshop on two-phase flow predictions, Erlangen, FRG, pp 156-166... 

Viollet PL, Simonin O, Olive J, Minier JP (1992) Modelling Turbulent two-phase flows in industrial equipment. In Computational methods in applied sciences, ed Hirsh C, Elevier Sciences, New York, pp 213-224... 

Ueyama K, Miyauchi T (1979) Properties of Recirculating Turbulent Two Phase Flow in Gas Bubble Column. AIChE J 25(2) 258-266... 

Eggers R, Wagner H. Extraction device for high viscous media in a high-turbulent two-phase flow with SC-CO2. J Supercrit Fluids 1993 6 31-37. 

In the literature on turbulent two-phase flow (Minier Peirano, 2001 Peirano Minier, 2002 Simonin et al, 1993), the fluid phase is usually treated using a separate distribution function whose integral over phase space leads to the fluid-phase mass density. Here, we use a different approach starting from n(f, x, Vp, p, Vf, f). In this approach, we let the internal coordinate be equal to the fluid mass seen by a particle. The fluid-phase mass density is then given by... 

Pehiano, E. Minier, J.-P. 2002 Probabilistic formalism and hierarchy of models for polydispersed turbulent two-phase flows. Physical Review E 65, 046301. 

SiMONiN, O., Deutsch, E. Minier, j. P. 1993 Eulerian prediction of the fluid/particle correlated motion in turbulent two-phase flows. Applied Scientific Research 51, 275-283. 

In previous papers, the authors have reported on progress in various steps in the development of an advanced multidomain spectral element code for simulations of turbulent two-phase flows [1, 2]. This code was also applied for simulation of the flow over a square cylinder and the channel flow for preliminary assessments. 

For a directed two-phase flow, i.e. when the temporal variation of the particle trajectory through the measurement volume is relatively small, for example in a spray, the mean particle trajectory angle may be determined from independent measurements of the individual velocity components as shown by Qiu and Sommerfeld (1992). In complex turbulent two-phase flows, generally a three-component PDA-system is required for accurate concentration and mass flux measurements. 

Beyerlein, S.W., Cossmann, R.K., and Richter, H.J. (1985), Prediction of bubble concentration profiles in vertical turbulent two-phase flow, International Journal of Multiphase Elow, 11(5) 629-641. 

Issa RI, Gosman AD (1981) The computation of three-dimensional turbulent two phase flows in mixer vessels. In Numerical methods in laminar and turbulent flow. Pineridge Press, Swansea, p 829... 

The left-hand term in equation 3.56, Stkjo v u, is a dimensionless group that has its theoretical basis in the turbulent two-phase flow theory for hydrocyclones (equation 4.21 in ref. 16), whilst the right-hand side is a semi-empirical expression of the effect of feed concentration, which has its roots in the theory of hindered settling. ... 

Hamdullahpur F, Pegg M, MacKay G. A laser-fluorescence technique for turbulent two-phase flow measurements. Int J Mult Flow 13(3) 379-385, 1987. 

In recent years, several methods have been developed for simulating the transport of fully resolved freely moving particles in laminar and turbulent two-phase flows. Methods like fictions domain [17], finite difference [38], finite element [26], immersed boundary [36] as well as interface tracking [6] are only a few examples of established simulation approaches. Nevertheless, aU methods mentioned above face the same problem the limitation is that transient computations of a time-varying particle-fluid interface of moving resolved particles require a significant amount of computational time. 

Morud KE (1994) Turbulent two-phase flow in bubble columns and stirred fermenters. Dr Ing thesis, PhD Thesis, Telemark College, Porsgrunn, Norway... 

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