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TECHNICAL PAPERS: Natural and Mixed Convection

Integral Solutions for Transient Temperature Profiles in Stably-Stratified Open Enclosures

[+] Author and Article Information
K. O. Homan

Department of Mechanical and Aerospace Engineering, and Engineering Mechanics, University of Missouri-Rolla, Rolla, MO 65409-0050

J. Heat Transfer 125(2), 273-281 (Mar 21, 2003) (9 pages) doi:10.1115/1.1527911 History: Received February 13, 2001; Revised August 26, 2002; Online March 21, 2003
Copyright © 2003 by ASME
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References

Figures

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Schematic of a thermal storage vessel and a representative instantaneous vertical temperature profile
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Schematic of a composite boundary layer profile
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Upper boundary layer growth, δu*(t), for several edge temperatures, Te, at Pe=103
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Growth of the upper and lower boundary layers, δu* and δl*, for Te=0.15 and (Pe/κu)=103. In each case, δl*u* except for the case κr≡1, where δl*≡δu*.
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Ratio of thermocline thickness to boundary layer scale versus interfacial temperature for several edge definitions
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Growth of the upper boundary layer thickness, δu*(t), for κo,r=1 at (Pe/κo,u)=103 for several b values  
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Variation of the fill-line temperature in time for empirical data from several references
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Growth of the thermocline thickness for the indicated edge temperatures taken from the data of Truman et al. 25 at Peclet numbers of 357 and 999, respectively. The lower edge temperatures correspond to the inlet side of the thermocline.
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Growth of the thermocline thickness for the indicated edge temperatures taken from data of Wildin and Sohn 28 with a Peclet number of 645. The lower edge temperatures correspond to the inlet side of the thermocline.
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Growth of the thermocline thickness for the indicated edge temperatures taken from data of Zurigat et al. 31 with a Peclet number of 2750. The lower edge temperatures correspond to the inlet side of the thermocline.
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Comparison of the analytical model for (a) b=0,κi=4, and κr=1, (b) b=0,κi=3.5, and κr=0.34, and (c) b=−0.35,κ̃i=2.5, and κ̃r=0.34 with empirical profile data of Zurigat et al. 31
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Growth of the thermocline thickness for the indicated edge temperatures taken from data of Zurigat et al. 30 with a Peclet number of 7010. The higher edge temperatures correspond to the inlet side of the thermocline.
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Comparison of the analytical model for (a) b=0,κi=30, and κr=1, (b) b=0,κi=40, and κr=4.5, and (c) b=−0.665,κ̃i=40, and κ̃r=5.0 with empirical time series data of Zurigat et al. 30

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