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TECHNICAL PAPERS: Natural and Mixed Convection

Transient Hydrodynamic Phenomena and Conjugate Heat Transfer During Cooling of Water in an Underground Thermal Storage Tank

[+] Author and Article Information
E. Papanicolaou, V. Belessiotis

“Demokritos” National Center for Scientific Research, Solar and other Energy Systems Laboratory, Aghia Paraskevi, Attiki, Greece, 15310

J. Heat Transfer 126(1), 84-96 (Mar 10, 2004) (13 pages) doi:10.1115/1.1643907 History: Received December 27, 2002; Revised October 27, 2003; Online March 10, 2004
Copyright © 2004 by ASME
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References

Figures

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Computed contours of the viscosity ratio (normalized with the peak value of νt,max*) for the underground storage tank at time instants (τ×103) marked as (f–j) on the νt,max* versus time dimensionless curve (15 equally spaced contour values from 0 to 1)
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Computed isotherms for the underground storage tank at selected time instants in the convection phase, among those shown on the Ψmax versus dimensionless time curve
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(a) and (b) Local Nusselt number versus local Rayleigh number along the vertical wall (top to bottom) and for the corresponding time instants of Fig. 3 and Fig. 4 respectively, and (c) mean Nusselt number at the vertical wall and tank bottom for the first 12 hours and two soil types
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Underground storage tank configuration: (a) instrumented region for temperature measurements (shaded area) with computational domain and boundary conditions, (b) temperature sensor locations, and (c) computational grid for the half domain
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(a) Interface control volume for derivation of the conjugate boundary condition. (b) and (c) validation for conjugate natural convection along a vertical flat plate against analytical solutions of Timma and Padet 27 and Pozzi and Lupo 28 for Grl=109sl/λfb=500 and at two different Prandtl numbers
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Computed streamlines (normalized with the peak value of Ψmax) for the underground storage tank at time instants (a–e) shown on the Ψmax versus dimensionless time curve (15 equally spaced contour values from −1 to 0.45)
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Computed streamlines (normalized with the peak value of Ψmax) for the underground storage tank at time instants (f–j) shown on the Ψmax versus dimensionless time curve (15 equally spaced contour values from −1 to 0.45)
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Computed contours of the viscosity ratio (normalized with the peak value of νt,max*) for the underground storage tank at time instants (τ×103) marked as (a–e) on the νt,max* versus time dimensionless curve (15 equally spaced contour values from 0 to 1)
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Computed isotherms for the underground storage tank at the early (top, 4–14 hours) and the later (bottom, 1–29 days) stages of the diffusion phase
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Computed (a) stratification factor and (b) mean water temperature versus time for the various soil types of Table 2
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Local Nusselt versus local Rayleigh number along the vertical wall for two different grid dimensions, 77×77 (dashed line) and 107×107 (solid line), and at times τ×103=a) 0.01, b) 0.02, c) 0.03 and d) 0.04. At the bottom, the transient behavior of the stratification factors and mean water temperature are also compared
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Initial temperature distributions (top left) and computed temperature histories at selected depths: (a) within the ground and along, (b) vertical wall, and (c) central vertical tank axis, compared to measured data at the respective locations a,b,c of Fig. 1(b)

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