Two-dimensional flow modelling of a thin slice kettle reboiler. (English) Zbl 1217.80066
Summary: The two-fluid model is applied to a thin sliced kettle reboiler. The tube bundle is treated as a porous medium in which the drag coefficient and tube-wall force are deduced from the empirically-based, one-dimensional model. Methods available in the open literature are used in the two-phase pool surrounding the tube bundle. The predictions are verified by comparing them with experimental data and models available in the open literature.
The boundary condition applied at the free surface of the pool is found to be crucial in determining the flow pattern within it. When only liquid re-enters through the boundary an all-liquid pool results. Comparison with the experimental evidence suggests that this boundary condition corresponds to bubbly flow within the tube bundle. Allowing a predominantly vapour re-entry produces a two-phase pool that is consistent with intermittent flow in the tube bundle. When the appropriate boundary condition is applied, the two-fluid model predictions are shown to reproduce the visual records and pressure drop measurements reasonably accurately.
The boundary condition applied at the free surface of the pool is found to be crucial in determining the flow pattern within it. When only liquid re-enters through the boundary an all-liquid pool results. Comparison with the experimental evidence suggests that this boundary condition corresponds to bubbly flow within the tube bundle. Allowing a predominantly vapour re-entry produces a two-phase pool that is consistent with intermittent flow in the tube bundle. When the appropriate boundary condition is applied, the two-fluid model predictions are shown to reproduce the visual records and pressure drop measurements reasonably accurately.
MSC:
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
| 76T10 | Liquid-gas two-phase flows, bubbly flows |
| 76S05 | Flows in porous media; filtration; seepage |
References:
| [1] | T.W.C. Brisbane, I.D.R. Grant, P.B. Whalley, Prediction method for kettle reboiler performance, ASME paper, 80-HT-42, 1980. |
| [2] | M.K. Jensen, Model for the re-circulating flow in a kettle reboiler, in: Proceedings AIChE, New York, 1988. |
| [3] | Bamardouf, K.; Mcneil, D. A.: Experimental and numerical investigation of two-phase pressure drop in vertical cross-flow over a horizontal tube bundle, J. appl. Therm. eng. 29, 1356-1365 (2009) |
| [4] | Feenstra, P. A.; Weaver, D. S.; Judd, R. L.: Improved void fraction model for two-phase cross-flow in horizontal tube bundles, Int. J. Multiphas flow 26, No. 11, 1851-1873 (2000) · Zbl 1137.76576 · doi:10.1016/S0301-9322(99)00118-4 |
| [5] | Ishihara, K.; Palen, J. W.; Taborek, J.: Critical review of correlations for predicting two-phase flow pressure drop across tube banks, Heat transfer eng. 1, No. 3, 23-32 (1980) |
| [6] | ESDU, Crossflow Pressure Loss over Banks of Plain Tubes in Square and Triangular Arrays Including Effects of Flow Direction, vol. 79034, Engineering Sciences Data Unit, 1979, p. 17. |
| [7] | Burnside, B. M.; Miller, K. M.; Mcneil, D. A.; Bruce, T.: Heat transfer coefficient distributions in an experimental kettle reboiler thin slice, Chem. eng. Res. des. 79, No. 4, 445-452 (2001) |
| [8] | Burnside, B. M.: 2-D kettle reboiler circulation model, Int. J. Heat fluid flow 20, No. 4, 437-445 (1999) |
| [9] | Mcneil, D. A.; Barmardouf, K.; Burnside, B. M.: A one-fluid, two-dimensional flow simulation model for a kettle reboiler, Int. J. Heat mass transfer 53, 825-835 (2010) · Zbl 1183.80044 · doi:10.1016/j.ijheatmasstransfer.2009.11.042 |
| [10] | Mcneil, D. A.; Barmardouf, K.; Burnside, B. M.; Almeshaal, M.: Investigation of flow phenomena in a kettle reboiler, Int. J. Heat mass transfer 53, 836-848 (2010) · Zbl 1183.80045 · doi:10.1016/j.ijheatmasstransfer.2009.11.041 |
| [11] | D.P. Edwards, M.K. Jensen, Two-Dimensional Numerical Model of Two-Phase Heat Transfer and Fluid Flow in a Kettle Reboiler, vol 159, American Society of Mechanical Engineers, Heat Transfer Division, HTD, Minneapolis, MN, USA, 1991, pp. 9 – 16. |
| [12] | Rahman, F. H.; Gebbie, J. G.; Jensen, M. K.: Interfacial friction correlation for shell-side vertical two-phase cross-flow past horizontal in-line and staggered tube bundles, Int. J. Multiphase flow 22, No. 4, 753-766 (1996) · Zbl 1135.76524 · doi:10.1016/0301-9322(96)00015-8 |
| [13] | Schrage, D. S.; Hsu, J. T.; Jensen, M. K.: Two-phase pressure drop in vertical crossflow across a horizontal tube bundle, Aiche J. 34, No. 1, 107-115 (1988) |
| [14] | Dowlati, R.; Kawaji, M.; Chan, A. M. C.: Pitch-to-diameter effect on two-phase flow across an in-line tube bundle, Aiche J. 36, No. 5, 765-772 (1990) |
| [15] | Dowlati, R.; Chan, A. M. C.; Kawaji, M.: Hydrodynamics of two-phase flow across horizontal in-line and staggered rod bundles, J. fluid eng. Trans. ASME 114, No. 3, 450-456 (1992) |
| [16] | Stosic, Z. V.; Stevanovic, V. D.: Advanced three-dimensional two-fluid porous media method for transient two-phase flow thermal-hydraulics in complex geometries, Numer. heat transfer B: fundam. 41, No. 3-4, 263-289 (2002) |
| [17] | V.D. Stevanovic, Z.V. Stosic, M. Kiera, U. Stoll, Horizontal steam generator thermal-hydraulics at various steady-state power levels, in: Proceedings of the International Conference on Nuclear Engineering, ICONE, Arlington, VA, United States, vol. 3, 2002, pp. 767 – 779. |
| [18] | V.D. Stevanovic, Z.V. Stosic, M. Kiera, U. Stoll, Numerical simulation and analyses of the loss of feedwater transient at the unit 4 of Kola Npp, in: Proceedings of the International Conference on Nuclear Engineering, ICONE, Arlington, VA, United States, vol. 3, 2002, pp. 781 – 792. |
| [19] | Pezo, M.; Stevanovic, V. D.; Stevanovic, Z.: A two-dimensional model of the kettle reboiler shell side thermal-hydraulics, Int. J. Heat mass transfer 49, No. 7 – 8, 1214-1224 (2006) · Zbl 1218.80007 |
| [20] | Dowlati, R.; Kawaji, M.; Chisholm, D.; Chan, A. M. C.: Void fraction prediction in two-phase flow across a tube bundle, Aiche J. 38, 619-622 (1992) |
| [21] | Simovic, Z. R.; Ocokoljic, S.; Stevanovic, V. D.: Interfacial friction correlations for the two-phase flow across tube bundle, Int. J. Multiphase flow 33, No. 2, 217-226 (2007) |
| [22] | Sato, Y.; Sekoguchi, K.: Liquid velocity distribution in two-phase bubble flow, Int. J. Multiphase flow. 2, 79-95 (1975) · Zbl 0358.76070 · doi:10.1016/0301-9322(75)90030-0 |
| [23] | Ishii, M.; Zuber, N.: Drag coefficient and relative velocity in bubbly, droplet or particulate flows, Aiche J. 25, 843-855 (1979) |
| [24] | Clift, R.; Grace, J. R.; Weber, M. E.: Bubbles, drops and particles, (1978) |
| [25] | S. Lo, R. Bagatin, M. Masi, The development of a CFD analysis and design tool for air-lift reactors, in: Proceedings of the SAIChE 2000 Conference, Secunda, South Africa, 2000. |
| [26] | Liu, Y.; Habiki, T.; Sun, X.; Ishii, M.; Kelly, J. M.: Drag coefficient in one-dimensional two-group two-fluid model, Int. J. Heat fluid flow 29, 1402-1410 (2008) |
| [27] | Neto, I. E. Lima; Zhu, D. Z.; Rajaratnam, N.: Bubbly jets in stagnant water, Int. J. Multiphase flow 34, 1130-1141 (2008) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
