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RESEARCH PAPER

Numerical Analysis of Natural Convection and Mixing in Two-Fluid Stratified Pools With Internal Heat Sources

[+] Author and Article Information
A. A. Gubaidullin, B. R. Sehgal

Division of Nuclear Power Safety, Royal Institute of Technology (KTH), Drottning Kristinas väg 33 A, 100 44 Stockholm, Sweden

J. Heat Transfer 126(4), 600-610 (Apr 23, 2004) (11 pages) doi:10.1115/1.1777578 History: Received June 30, 2003; Revised April 23, 2004
Copyright © 2004 by ASME
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References

Theofanous,  T. G., Liu,  C., Additon,  S., Angelini,  S., Kymaelaeinen,  O., and Salmassi,  T., 1997, “In-Vessel Coolability and Retention of a Core Melt,” Nucl. Eng. Des., 169, pp. 1–48.
Tuomisto,  H., and Theofanous,  T. G., 1994, “A Consistent Approach to Severe Accident Management,” Nucl. Eng. Des., 148, pp. 171–183.
Asmolov,  V., Ponomarev-Stepnoy,  N., Strizhov,  V., and Sehgal,  B. R., 2001, “Challenges Left in the Area of In-Vessel Melt Retention,” Nucl. Eng. Des., 209, pp. 87–96.
Dhir,  V. K., 1997, “Heat Transfer From Heat-Generating Pools and Particulate Beds,” Adv. Heat Transfer, 29, pp. 1–57.
Fieg, G., 1976, “Experimental Investigation of Heat Transfer Characteristics in Liquid Layers With Internal Heat Sources,” Proc. Int. Meet. on Fast Reactor Safety and Related Physics, USERDA Conf. 761001, pp. 2047–2055.
Schramm, R., and Reineke, H. H., 1978, “Natural Convection in a Horizontal Layer of Two Different Fluids With Internal Heat Sources,” Proc. 6th Int. Heat Transfer Conf., 2 , Paper NC-20, National Research Council of Canada.
Kulacki, F. A., and Nguen, A. T., 1981, “Hydrodynamic Instability and Thermal Convection in a Horizontal Layer of Two Immiscible Fluids With Internal Heat Generation,” NUREG/CR-2619 Report.
Gubaidullin,  A. A., 2003, “Correlations for Natural Convection Heat Transfer in Two-Layer Fluids With Internal Heat Generation,” Int. J. Heat Mass Transfer, 46, pp. 3935–3940.
Sehgal, B. R., Bui, V. A., Dinh, T. N., Green, J. A., and Kolb, G., 1998, “SIMECO Experiments on In-Vessel Melt Pool Formation and Heat Transfer With and Without a Metallic Layer,” NEA/CSNI/R(98)18, Proc. OECD/CSNI Workshop on In-Vessel Core Debris Retention and Coolability, Garching, Germany.
Kolb, G., Theerthan, S. A., and Sehgal, B. R., 2000, “Natural Convection in Stable Stratified Layers With Volumetric Heat Generation in the Lower Layer,” CD Proc. 34th National Heat Transfer Conf., Aug. 20–22, Pittsburgh, PA.
Theerthan,  S. A., Kolb,  G., and Sehgal,  B. R., 2001, “Double-Diffusive Convection in a Semicircular Slice With Internal Heat Generation in One or Both Layers,” Exp. Heat Transfer, 14(4), pp. 283–297.
Gubaidullin, A. A., 2002, “Natural Convection Heat Transfer in Two-Fluid Stratified Pools With Internal Heat Sources,” Ph.D. thesis, Royal Institute of Technology (KTH), Stockholm, Sweden.
Haberstroh,  R. D., and Reinders,  R. D., 1974, “Conducting-Sheet Model for Natural Convection Through a Density-Stratified Interface,” Int. J. Heat Mass Transfer, 17, pp. 307–311.
Simonovskii, I. B., 1979, “Numerical Investigation of Convection in a System of Two Immiscible Fluids Heated From Below,” Convection Flows and Hydrodynamic Stability, Sverdlovsk (in Russian).
Prakash,  A., and Koster,  J. M., 1996, “Steady Rayleigh-Bénard Convection in Two-Layer System of Immiscible Liquids,” ASME J. Heat Transfer, 118, pp. 366–373.
Koster,  J. M., and Nguen,  K., 1996, “Steady Natural Convection in a Double Layer of Immiscible Liquids With Density Inversion,” Int. J. Heat Mass Transfer, 39(3), pp. 467–478.
Huppert,  H. E., and Turner,  J. S., 1981, “Double-Diffusive Convection,” J. Fluid Mech., 106, pp. 299–329.
Gebhart, B., Jaluria, Y., Mahajan, R. L., and Sammakia, B., 1988, Buoyancy-Induced Flows and Transport, Springer, Chap. 9.
Wirtz,  R. A., 1976, “The Effect of Solute Layering on Lateral Heat Transfer in an Enclosure,” Int. J. Heat Mass Transfer, 20, pp. 841–846.
Hyun,  M. T., and Bergman,  B. L., 1995, “Direct Simulation of Double-Diffusive Layered Convection,” ASME J. Heat Transfer, 117, pp. 334–339.
CFDS-FLOW3D, 1994, Release 3.3, User Manual.
Gubaidullin, A. A., and Sehgal, B. R., 2000, “Numerical Analysis of Mixing in a Double-Diffusive System,” CD Proc. 34th ASME National Heat Transfer Conference, Aug. 20–22, Pittsburgh, PA.
Gubaidullin, A. A., and Sehgal, B. R., 2001, “Numerical Analysis of Natural Convection in a Double-Layer Immiscible System,” CD Proc. 9th International Conference on Nuclear Engineering (ICONE-9), April 8-12, Nice, France.
Bergman,  B. L., and Ungan,  A., 1988, “A Note on Lateral Heating in a Double-Diffusive System,” J. Fluid Mech., 194, pp. 175–186.
Nourgaliev,  R. R., Dinh,  T. N., and Sehgal,  B. R., 1997, “Effect of Fluid Prandtl Number on Heat Transfer Characteristics in Internally Heated Liquid Pools With Rayleigh Numbers up to 1012,” Nucl. Eng. Des., 169, pp. 165–184.
Nourgaliev,  R. R., and Dinh,  T. N., 1997, “An Investigation of Turbulence Characteristics in an Internally Heated Unstably Stratified Fluid Layer,” Nucl. Eng. Des., 178, pp. 235–258.
Dinh,  T. N., and Nourgaliev,  R. R., 1997, “Turbulence Modeling for Large Volumetrically Heated Liquid Pools,” Nucl. Eng. Des., 169, pp. 131–150.
Hanjalić,  K., 2002, “One-Point Closure Models for Buoyancy-Driven Turbulent Flows,” Annu. Rev. Fluid Mech., 34, pp. 321–347.
Turner,  J. S., 1968, “The Coupled Turbulent Transport of Salt and Heat Across a Sharp Density Interface,” Int. J. Heat Mass Transfer, 8, pp. 759–767.
Mayinger, F., Jahn, M., Reineke, H. H., and Steinbrenner, V., 1976, “Examination of Thermal-Hydraulic Processes and Heat Transfer in a Core Melt,” BMFT RS 48/1, Institut für Verfahrenstechnik der T. U., Hanover FRG.

Figures

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Problem formulation and boundary conditions employed in CFD simulations
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Variation of the average Nusselt number with the Rayleigh number for a uniform pool
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The mean Nusselt number as a function of the Rayleigh number for (a) L12=4:22, Pr=6.5, Qv,1=Qv,2; (b) L12=8:18, Pr=6.5, Qv,1=Qv,2
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Normalized with Tmax isotherm patterns in case of (a) stratified immiscible fluids; (b) stratified miscible fluids (Ra=1.3⋅1010,Ra2=2⋅109,L12=8:18,Qv,1=Qv,2); (c) one fluid
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Variation of the average Nusselt number over the side wall (Ra=2⋅109, Pr=6.5, L12=8:18): (a) heat generation in both layers; (b) with and without heat generation in the upper layer
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The mean Nusselt number as a function of the Rayleigh number for (a) L12=4:22,Qv,1=Qv,2; (b) L12=8:18,Qv,1=Qv,2
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The mean Nusselt number as a function of the Rayleigh number for (a) L12=4:26,Qv,1=0; (b) L12=6:26,Qv,1=0
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Time average centerline temperature distributions for (a) L12=4:22,Qv,1=Qv,2; (b) L12=8:18,Qv,1=Qv,2
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Time average centerline temperature distributions for (a) L12=4:26,Qv,1=0; (b) L12=6:26,Qv,1=0
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Effect of upper layer physical properties on Q12 (Qv,1=Qv,2)
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Concentration (left-hand column) and temperature (right-hand column) fields for Ra=1.3⋅109Q=2.33⋅10−2 (a) Foc=8.3⋅10−4,Smax=1.0; (b) Foc=10⋅10−4,Smax=0.99; (c) Foc=11.5⋅10−4,Smax=0.98; (d) Foc=12.8⋅10−4,Smax=0.96; (e) Foc=14.2⋅10−4,Smax=0.94
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Transient average Nusselt numbers for Ra=1.3⋅109Q=1.16⋅10−2
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Computational domain of semicircular cavity for (a) immiscible layers (L12=6:26); (b) miscible layers (L12=8:18)

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