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TECHNICAL PAPERS

Steady-Periodic Three-Dimensional Foundation Heat Transfer From Refrigerated Structures

[+] Author and Article Information
Pirawas Chuangchid, Moncef Krarti

Joint Center for Energy Management, CEAE Department, CB 428, University of Colorado at Boulder, Boulder, CO 80309

J. Sol. Energy Eng 122(2), 69-83 (May 01, 2000) (15 pages) doi:10.1115/1.1287266 History: Received December 01, 1998; Revised May 01, 2000
Copyright © 2000 by ASME
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References

Akridge,  J. M., and Poulos,  J. F. J., 1983, “The Decremented Average Ground Temperature Method for Predicting the Thermal Performance of Underground Walls,” ASHRAE Trans.,89, Part 2A, p. 49.
Yard,  D. C., Gibson,  M., and Mitchell,  J. W., 1984, “Simplified Relations for Heat Loss From Basements,” ASHRAE Trans.,90, Part 1B, pp. 633–643.
Ship, P. H., 1982, “Basement, Crawlspace and Slab-on-Grade Thermal Performance,” Proceedings of ASHRAE/DOE Thermal; Envelopes Conference, Las Vegas, NV.
Mitalas,  G. P., 1983, “Calculation of Basement Heat Loss,” ASHRAE Trans.,89, Part 1B, pp. 420.
Mitalas,  G. P., 1987, “Calculation of Below Grade Heat Loss—Low Rise Residential Building,” ASHRAE Trans., 93, Part 1.
Kusuda,  T., and Achenbach,  T. R., 1963, “Numerical Analysis of the Thermal Environment of Occupied Underground Spaces with Finite Cover Using Digital Computer,” ASHRAE Trans., 69, pp. 439–462.
Metz,  P. D., 1983, “Simple Computer Program to Model Three-dimensional Underground Heat Flow with Realistic Boundary Conditions,” ASME J. Sol. Energy Eng., 105, No. 1, pp. 42–49.
Walton,  G. N., 1987, “Estimation 3-D Heat Loss from Rectangular Basements and Slabs Using 2-D Calculations,” ASHRAE Trans., 93, p. 791–797.
Bahnfleth, W. P., 1989, “Three-Dimensional Modeling of Heat Transfer From Slab Floors,” USACERL Technical Manuscript E-89/11.
Lachenbruch, A. H., 1967, “Three-Dimensional Heat Conduction in Permafrost Beneath Heated Buildings,” Geological Survey Bulletin 1052-B, U.S. Government Printing Office, Washington, D.C.
Delsante,  A. E., Stockers,  A. N., and Walsh,  P. J., 1982, “Application of Fourier Transforms to Periodic Heat Flow into the Ground Under a Building,” Int. J. Heat Mass Transf., 26, pp. 121–132.
Krarti,  M., Claridge,  D. E., and Kreider,  J. F., 1990, “The ITPE Method Applied to Time-Varying Three-dimensional Ground-Coupling Problems,” ASME J. Heat Transfer, 112, No. 4, pp. 849–856.
Krarti,  M., Claridge,  D. E., and Kreider,  J. F., 1988, “ITPE Technique Applications to Time Varying Two-Dimensional Ground-Coupling Problems,” Int. J. Heat Mass Transf., 31, No. 9, pp. 1899–1911.
Krarti, M., and Chuangchid, P., 1999, Cooler Floor Heat Gain in Refrigerated Structures, ASHRAE Research Project 953-TRP, Atlanta: American Society of Heating, Refrigerating and Air-Conditioning Engineering, Inc.
SIAM, 1994, Lapack User’s Guide, V. 2.0, Philadelphia, P.A.

Figures

Grahic Jump Location
Cylindrical slab model with partial insulation
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Monthly variation of total heat gain per unit area
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Effect of length of insulation on total heat gain per unit area
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Effect of insulation U-value on mean, amplitude, and phase lag of total heat gain per unit area for partial insulation
Grahic Jump Location
Effect of insulation U-value on mean, amplitude, and phase lag of total heat gain per unit area for uniform insulation
Grahic Jump Location
3D rectangular slab model with partial insulation
Grahic Jump Location
Monthly variation of total heat gain per unit area
Grahic Jump Location
Effect of length of insulation on total heat gain per unit area
Grahic Jump Location
Effect of insulation U-value on mean, amplitude, and phase lag of total heat gain per unit area for partial insulation
Grahic Jump Location
Effect of insulation U-value on mean, amplitude, and phase lag of total heat gain per unit area for uniform insulation
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(a) Temperature profile for uninsulated slab in winter (b) Temperature profile for uninsulated slab in summer (c) Temperature profile for partially insulated slab in winter (d ) Temperature profile for partially insulated slab in summer (e) Temperature profiles for uniformly insulated slab in winter (f ) Temperature profile for uniformly insulated slab in summer
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Partial sections of slab foundations
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Effect of the ratio of slab area and exposed perimeter on the mean of total slab heat loss
Grahic Jump Location
Effect of the ratio of slab area and exposed perimeter on the amplitude of total slab heat loss

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