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Vol.2 , No. 2, Publication Date: Mar. 3, 2015, Page: 55-73
 tundish. Transport equations are solved for the variables of each fluid, and empirical relations from prior works are used to compare the model results. For the calculated real fluid, we compare the classic k-ε turbulence model and the new promised two scale k-ε turbulence model in isothermal and non-isothermal conditions. We optimize our results by presenting a new estimation in mass transfer rate calculation and in the intermittency factor, which the last provides a measure of the extent of turbulence in the tundish. Finally, we defined then two-fluid empirical coefficients cf, ch, cm for a real non-isothermal fluid.&picture=http://www.aascit.org/aascit/decorators/img/journal/902.jpg)
| [1] | S. Anestis, Department of Oenology and Beverage Technology, Technological Educational Institute of Athens, Faculty of Food and Nutrition, Greece. |
A two-fluid model of turbulence is presented and applied to flow in tundishes. The original fluid is modelled as a real power-law fluid, where we define the coefficients k and n of it. The problem was solved for isothermal and non-isothermal conditions of continuous casting (CC) tundish. Transport equations are solved for the variables of each fluid, and empirical relations from prior works are used to compare the model results. For the calculated real fluid, we compare the classic k-ε turbulence model and the new promised two scale k-ε turbulence model in isothermal and non-isothermal conditions. We optimize our results by presenting a new estimation in mass transfer rate calculation and in the intermittency factor, which the last provides a measure of the extent of turbulence in the tundish. Finally, we defined then two-fluid empirical coefficients cf, ch, cm for a real non-isothermal fluid.
Keywords
Tundish Flow, Two-Fluid Model of Turbulence, Intermittency Factor, Two Scale k-ε Turbulence Model, Real Power Law Fluid, Isothermal Condition, Non Isothermal Condition
Reference
| [01] | Anestis S. Thesis, 2014. National Technical University of Athens, Greece |
| [02] | Chen C.P., 'Multiple-scale turbulence model in confined swirling- jet predictions', AIAA J., Vol.24, p.1717, (1986). |
| [03] | Fabris G., P.T.Harsha and R.B.Edelman, 'Multiple-scale turbulence modelling of boundary-layer flows for scramjet applications', NASA-CR-3433, 1981. |
| [04] | Hanjalic K. and B.E. Launder, 'Turbulence transport modelling of separating and reattaching shear flows', Mech.Eng.Rept. TF/78/9, University of California, Davis, USA, 1978. |
| [05] | Hanjalic K. B.E. Launder and R. Schiestel. Multiple time scale concept in turbulence transport modeling, 1980, Turbulence Shear flows in Springer Verlag, pp.36-50. |
| [06] | Harlow F. H. and P. I. Nakayama, Turbulence transport equations, Physics FIuia!s lo,2323 (1967). |
| [07] | Ilegbusi O. J. Application of the two-fluid model of turbulence to tundish problems. ISIJ, 1994, vol. 34, 9, pp. 732-738 |
| [08] | Ilegbusi O. J. and D. B. Spalding, A two-fluid model of turbulence and its application to near-wall flows, PCH PhysicoChem. Hydrodyn. 9(1/2), 127 (1987). |
| [09] | Ilegbusi O. J. and D. B. Spalding: Int. J. Heat Mass Transf, 32:4 (1989), 767. |
| [10] | Illegbussi O. J. and J. Szekely. Fluid flow and tracer dispersion in shallow tundishes. Steel Res,, vol. 59 (1988), pp.399-405. |
| [11] | Illegbussi O. J. and J. Szekely: Effect of externally imposed magnetic field on tundish performance. Ironmaking Steelmaking, vol.16 (1989), pp. 110-115 |
| [12] | Illegbussi O. J. and J. Szekely: Steel Res., 62 (1991), 193. |
| [13] | Jha P.K., Rajeev Ranjan, Swasti S. Mondal and Sukanta K. Dash. Mixing in a tundish and a choice of turbulence model for its prediction. Int. J. Num. Meth. Heat Fluid Flow, vol.13, no 8, 2003, pp 964-996. |
| [14] | Joo S., R.I.L. Guthrie, and C.J. Dobson: Tundish Metallurgy, ISS, Warrendale, PA, 1990, vol. 1, pp. 37-44. |
| [15] | Kim S. W. Near wall turbulence mode; and its application to fully developed turbulence channel and pipe flows. 1990, Numerical Heat Transfer, part B, vol. 17, pp. 101-110 |
| [16] | Kim S.W. and C.P.Chen, 'A multi-time-scale turbulence model based on variable partitioning of the turbulence kinetic energy spectrum', Numerical Heat Transfer, Part B, Vol.16, pp193, 1989. |
| [17] | Kim S.W. Calculation of diverged channel flows with a multiple time scale turbulence model. 1991, AIAA J. vol.29, pp.547-554 |
| [18] | Launder, B.E. & Spalding, D.B. (1974). The numerical computation of turbulence flows, Computer Methods in Applied Mechanics Engineering, Vol.3, pp. 269–289. |
| [19] | Malin M. R. and D. B. Spalding: PCH Physicochem. Hydrodyn., 1984, vol. 5, p. 339. |
| [20] | Markatos N.C. 1986. The mathematical modeling of turbulence flows. Appl. Math. Modelling, vol.10, pp.190-220 |
| [21] | Schiestel R. Multiple scale concept in turbulence modeling II Reynolds stresses and turbulence heat fluxes of a passive scalar, algebraic modeling and simplified model using Boussinesq Hypothesis. J. Mech. Theor. Appl. 1983, vol.2 pp 601-610 |
| [22] | Schiestel R. Multiple time scale modeling of turbulence flows in one point closure. Phys. Fluids, 1987, vol. 30, pp. 722-724 |
| [23] | Shen, Y.M., Zheng, Y.H., Komatsu, T., Kohashi, N., 2002. A three-dimensional numerical model of hydrodynamics and water quality in Hakata Bay. Ocean Engineering 29 (4), 461–473. |
| [24] | Sheng D.Y. and L. Jonsson: Metall. Trans. B, 1999, pp. 979-85. |
| [25] | Skelland A.H, 1967. 'Non-Newtonian flow and heat transfer', John Wiley, New York, Book Publication. |
| [26] | Spalding D. B., Chemical reaction in turbulence fluids, J. PhysicoChem. Hydrodyn. 4(4), 323 (1982). |
| [27] | Spalding D. B., Towards a two-fluid model of turbulence combustion in gases with special reference to the spark ignition engine, I. Mech. E. Conf., Oxford, April 1983. In Combustion in Engineering, Vol. 1, Paper No. C53/83, pp. 135-142 (1983). |
| [28] | Szekely J., O. J. Ilegbusi and N. EI-Kaddah: PCH Physico Chemical Hydrodynamics, (1987), 9, 3, 453. K. H. |
| [29] | Tacke K.H. and J. C. Ludwig: Steel flow and inclusion separation in continuous casting tundishes. Steel Res. Vol. 58, (1987), pp.262-270. |
| [30] | Lopez-Ramirez S., R.D. Morales, J.A. Romero Serrano, 2000. Numerical simulation of the effects of buoyancy forces and flow control devices on fluid flow and heat transfer phenomena of liquid steel in a tundish. Numerical Heat Transfer, A. vol.37, pp. 37-69. |
| [31] | Anestis Stylianos. The Process of Heat Transfer and Fluid Flow in CFD Problems. American Journal of Science and Technology. Vol. 1, No. 1, 2014B, pp. 36-49 |
