Yadigaroglu G, Hewitt GF (2017) Introduction to multiphase flow: basic concepts, applications and modelling. Woodburn P, Issa R (1998) 'Well-posedness of one-dimensional transient, two-fluid models of two-phase flows,' in 3rd International Symposium on Mulitphase Flow, ASME Fluids Engineering Division Summer Meeting, Washington, USA Montini M (2011) 'Closure relations of the one-dimensional two-fluid model for the simulation of slug flows,' Imperial College London Issa RI, Kempf MHW (2003) Simulation of slug flow in horizontal and nearly horizontal pipes with the two-fluid model. White Frank M (1998)'вЂћFluid Mechanics 4th EditionвЂќ,' ed: Mcgraw-Hill CollegeД«arnea D, Taitel Y (1994) Interfacial and structural stability of separated flow. ДЄnsari MR, Daramizadeh A (2013) Numerical simulation of compressible two-phase flow using a diffuse interface method. Saurel R, Abgrall R (1999) A multiphase godunov method for compressible multifluid and multiphase flows. Ransom VH, Hicks DL (1984) Hyperbolic two-pressure models for two-phase flow. Shokri V, Esmaeili K (2017) Comparison of the effect of hydrodynamic and hydrostatic models for pressure correction term in two-fluid model in gas-liquid two-phase flow modeling. Watson (1990) 'Non linear waves in pipeline two-phase flows,' in Proceedings of the 3rd International Conference on Hyperbolic Problems, Uppsala, Sweden, vol. Ishii M, Hibiki T (2010) Thermo-fluid dynamics of two-phase flow. Levy S (1999) Two-phase flow in complex systems. Дaza-GГіmez MAM, Pereyra E, Ratkovich N (2019) CFD simulation of two-phase gas/non-Newtonian shear-thinning fluid flow in pipes. Int J Heat Fluid Flow 32(1):145вЂ“155ДЄnsari MR, Daramizadeh A (2012) Slug type hydrodynamic instability analysis using a five equations hyperbolic two-pressure, two-fluid model. (84)90207-3ДЄnsari M, Shokri V (2011) Numerical modeling of slug flow initiation in a horizontal channels using a two-fluid model. Ishii M, Mishima K (1984) Two-fluid model and hydrodynamic constitutive relations. Analysis of the averaged and local instantaneous formulations. Springer, NewyorkД«anerjee S, Chan AMC (1980) Separated flow models-I. (99)00013-1Дe Bertodano ML, Fullmer W, Clausse A, Ransom VH (2017) Two-fluid model stability, simulation and chaos.

Loth E (2000) Numerical approaches for motion of dispersed particles, droplets and bubbles. Wallis GE (1969) One-dimensional two-phase flow. Omgba-Essama C (2004) 'Numerical modelling of transient gas-liquid flows (application to stratified & slug flow regimes),' Д«ertola V (2014) Modelling and experimentation in two-phase flow.

Д¬osta CAS, de Oliveira PM, Barbosa JR (2018) Intermittent flow initiation in a horizontal tube: quantitative visualization and CFD analysis. Shokri V, Esmaeili K (2019) Effect of liquid phase compressibility on modeling of gas-liquid two-phase flows using two-fluid model.

Jung J, Lyczkowski RW, Panchal CB, Hassanein A (2006) Multiphase hemodynamic simulation of pulsatile flow in a coronary artery. Д«estion D (1990) The physical closure laws in the CATHARE code. Hasan AR, Kabir CS (2010) Modeling two-phase fluid and heat flows in geothermal wells. Ove BratlandДukler AE, Fabre J (1994) 'GAS-LIQUID SLUG FLOW,' vol. Finally, for the slug flow initiation, a very good agreement is achieved between the results from the introduced approach and the experimental results.Д«ratland O (2010) Pipe flow 2: multi-phase flow assurance. Indeed, comparing the flow property diagrams for the two studied conditions showed that the wavelengths below the specified cut-off are stabilized, and the converged results are achieved for the flow properties. To remedy this deficiency, the methodology introduced in this study showed an excellent ability to damp the unbounded growth of instabilities, where the standard model is not well-posed. It is found that the short-wavelength perturbations induce the unbounded growth rates, and this halts the convergence of results.

The results showed that the instability range is affected by the wavelengths as a decrease in the wavelengths led to inconsistency of the range. For validation of the simulations, the results of instability range are compared to the calculations using the classic KelvinвЂ“Helmholtz instability equation and then, the methodology is used to evaluate the slug flow initiation and growth in a horizontal pipe. For this, the shock-capturing method is developed to an algorithm scripted in Fortran and the Force (first-order centred) scheme is selected for the models used in this work, due to the higher accuracy and less computations. Firstly, different numerical schemes are examined to investigate the flow characteristics through the water faucet problem. This study presents a methodology using the correlation of numerical diffusion with the standard two-fluid model to simulate the separated two-phase flow (gasвЂ“liquid) in a pipe.

Orcaflex slug flow model