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The work presented in this paper is dealing with numerical simulation of energy separation mechanism and flow phenomena within a Ranque-Hilsch vortex tube. Simulation of turbulent, compressible, highly swirling flow inside vortex tube is performed using RANS approach, with Favre averaged conservation equations. For turbulence closure, k − ε and k − ω SST models are used. It is assumed that the mean flow is axisymmetric, so the 2-D computational domain is used. Compu- tations were performed using open-source CFD software OpenFOAM. All com- pressible solvers available within OpenFOAM were tested, and it was found that most of the solvers cannot predict energy separation. Code of two chosen solvers, which proved as the most robust, is modified in terms of mean energy equation implementation. Newly created solvers predict physically accepted behavior in vortex tube, with good agreement with experimental results. Comparison between performances of solvers is also presented.
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 Hilsch, R., The use of the expansion of gases in a centrifugal field as cooling process, Rev. Sci. Instrum, 18 (1947), 2, pp. 108–113
 Kurosaka, M., Acoustic streaming in swirl flow and the Ranque-Hilsch (vortex-tube) effect, Journal of Fluid Mechanics, 124 (1982), pp. 139–172
 Ahlborn, B., Groves, S. Secondary flow in a vortex tube, Fluid Dyn. Res 21 (1997), pp. 73–86
 Ahlborn, B, Gordon, J., The vortex tube as a classic thermodynamic refrigeration cycle, J. Appl. Phys., 6 (2000). pp. 36453653
 Fröhlingsdorf, W., Unger H., Numerical investigations of the compressible flow and the energy¨ separation in the Ranque-Hilsch vortex tube, International Journal of heat and mass transfer, 42 (1999) pp. 415–422
 Aljuwayhel, F., et al., Parametric and internal study of the vortex tube using a CFD model, International Journal of Refrigeration 28 (2005), pp. 442–450
 Skye, H.M., et al, Comparison of CFD analysis to empirical data in a commercial vortex tube, International Journal of Refrigeration 29 (2006), pp. 71–80
 Behera. U., et al., CFD analysis and experimental investigation towards optimizing the parameters of Ranque-Hilsch vortex tube, International journal of heat and mass transfer 48 (2005), pp. 1961–1973
 Eiamsa-ard, S., Promvonge, P. Numerical prediction of vortex flow and thermal separation in subsonic vortex tube, Journal of Zhejiang University SCIENCE A 7 (2012), 8, pp. 1406–1415
 Eiamsa-ard, S., Promvonge, P., Numerical investigation of the thermal separation in a RanqueHilsch vortex tube, International Journal of Heat and Mass Transfer 50 (2007), pp. 821–832
 Behera, U., et al., Numerical investigations on flow behaviour and energy separation in RanqueHilsch vortex tube, International journal of heat and mass transfer 51 (2008), pp. 6077–6089
 Secchiaroli, A., et al., Numerical simulation of turbulent flow in a Ranque-Hilsch vortex tube, International Journal of Heat and Mass Transfer 52 (2009), pp. 5496–5511
 Eiamsa-ard, S., et al., Experimental investigation on energy separation in a counter-flow RanqueHilsch vortex tube: Effect of cooling a hot tube, Int. Comm. Heat Mass Transfer vol. 37 (2010), pp. 156–162
 Pourmahmoud N., Akhesmeh, S., Numerical investigation of the thermal separation in a vortex tube, World Academy of Science, Engineering and Technology 43 (2008), pp. 399–405
 Shamsoddini, R., Nezhad, A. H., Numerical analysis of the effect of nozzles number on the flow and power of cooling of a vortex tube, International Journal of Refrigeration 33 (2010), pp. 774–782
 Bramo, A. R., Pourmahmoud, N., Computational fluid dynamics simulation of length to diameter ratio effects on the energy separation in a vortex tube, Thermal Science, 15 (2011), 3, pp. 833–48
 Dutta, T., et al., Numerical investigation of gas species and energy separation in the Ranque- Hilsch vortex tube using real gas model, International Journal of Refrigeration 34 (2011), pp. 2118–2128
 Khazei, H., et al., Effects of gas properties and geometrical parameters on performance of a vortex tube, Scientia Iranica, Transactions B: Mechanical Engineering 19 (2012), 3, pp. 454– 462
 Pourmahmoud, N., et al., Numerical investigation of operating pressure effects on performance of a vortex tube, Thermal Science 16, (2012), 1, pp. 151–66
 Pourmahmoud, N. et al., Optimization of low pressure vortex tube via different axial angles of injection nozzles, International Journal of Engineering 26 (2013), 10, pp. 1255–1266
 Maurya, R. S., Bhavsar, K. Y., Energy and flow separation in the vortex tube: A numerical investigation, International Journal on Theoretical and Applied Research in Mechanical Engineering (IJTARME), 2 (2013), 3, pp. 2319–3182
 Pouraria, H. and Park, W., Numerical investigation on cooling performance of Ranque-Hilsch vortex tube, Thermal Science, 18 (2014), 4, pp. 1173–89
 Pouraria, H., et al., Modeling the cooling performance of vortex tube using a genetic algorithm – based artificial neural network, Thermal Science, 20 (2016), 1, pp. 53-65.
 Rahbar, N., et al., Numerical investigation on flow behaviour and energy separation in a micro- scale vortex tube, Thermal Science, 19 (2015), 2, pp. 619–30
 Khait, A. V., et al., Mathematical simulation of Ranque-Hilsch vortex tube heat and power performances, 14th International Conference on Computing in Civil and Building Engineering, (2013), pp. 1–8
 D. C. Wilcox, D. C., Turbulence modeling for CFD. DCW Industries, Inc. La Canada, California, 2 ed., 1994.
 Launder, B., Sharma, B., Application of the energy dissipation model of turbulence to the calculation of flows near a spinning disk, Letters in Heat and Mass Transfer, 1 (1974), pp. 131– 138
 Menter, F. R., Two-equation eddy-viscosity turbulence models for engineering applications, AIAA Journal 32 (1994), 8, pp. 1598–605
 Weller, H., et al., A tensorial approach to cfd using object orientated techniques, Computers in Physics 12 (1998), 6, pp. 620–631
 Issa, R., Solution of the implicitly discretized fluid flow equations by operator splitting, Journal of Computational Physics 62 (1986), pp. 40–65
 Patankar, S., Spalding, D., A calculation procedure for heat, mass and momentum transfer in threedimensional parabolic flows, International Journal of Heat and Mass Transfer 15 (1972), pp. 1787–1806
 Bruun, H. H., Experimental investigation of the energy separation in vortex tubes, J. Mechanical Engineering Science 11 (1969), 6, pp. 567–582
 Kurganov, A., Tadmor, E., New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations, Journal of Computational Physics 160 (2001), pp. 241–282
 Greenshields, C. et al., Implementation of semi-discrete, non-staggered central schemes in a colocated, polyhedral, finite volume framework, for high-speed viscous flows, International Journal for Numerical Methods in Fluids 63 (2010), 1, pp. 1–21
 Farouk T., Farouk, B., Large eddy simulations of the flow field and temperature separation in the Ranque-Hilsch vortex tube, International Journal of Heat and Mass Transfer 50 (2007), pp. 4724–4735
 Jakirlić, S., et al., Modeling rotating and swirling turbulent flows: a perpetual challenge, AIAA Journal 40 (2002), 10, pp. 1984–1996
 Ćoćić, A., et al., Numerical analysis of axisymmetric turbulent swirling flow in circular pipe, Thermal Science 18 (2014), 2, pp. 493–505