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Thermal Resistance of 30° Sloped, Enclosed Airspaces Subjected to Upward Heat Flow

Author

Listed:
  • Hamed H. Saber

    (Prince Saud Bin Thuniyan Research Center, Mechanical Engineering Department, Jubail University College, Royal Commission for Jubail & Yanbu, P.O. Box 10074, Jubail Industrial City 31961, Saudi Arabia)

  • Ali E. Hajiah

    (Kuwait Institute for Scientific Research, P.O. Box 24885, Safat 13109, Kuwait)

Abstract

Heat transmission across an enclosed space is determined by the type of filling gas, the temperatures and long-wave emissivities of all surfaces that define the space, and the heat flow direction. The ASHRAE Handbook of Fundamentals provides the thermal resistances (R-values) of enclosed airspaces with only five effective emittance values (E) for vertical, horizontal, and 45° airspaces. ASHRAE R-values do not include the case of 30° sloped airspaces. In addition, ASHRAE R-values ignore the impact of the airspace aspect ratio (A) on R-values. However, many previous studies, as well as this study, have shown that A can have a significant effect on the R-value. Previously, correlations were developed for determining the R-values for vertical (90°) airspaces subjected to horizontal heat flow, horizontal (0°) airspaces subjected to up and down heat flow, 45° airspaces subjected to up and down heat flow, and 30° airspaces subjected to downward heat flow. To the authors’ knowledge, no such correlation existed for determining the R-value of 30° airspaces subjected to upward heat flow, which is developed in this paper. The potential increase in R-value by placing a thin layer of varied emittance on both sides in the middle of the airspace was also considered. Architects and building designers can use the developed correlation to compute the R-values of airspaces of various values for A and E and various operating conditions. This correlation along with the previous correlations can be included in the current energy models (e.g., EnergyPlus, ESP-r, DOE, and Design Builder).

Suggested Citation

  • Hamed H. Saber & Ali E. Hajiah, 2022. "Thermal Resistance of 30° Sloped, Enclosed Airspaces Subjected to Upward Heat Flow," Sustainability, MDPI, vol. 14(6), pages 1-38, March.
    • Handle: RePEc:gam:jsusta:v:14:y:2022:i:6:p:3260-:d:768527
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    References listed on IDEAS

    as
    1. Pourghorban, Arash & Kari, Behrouz Mohammad & Asoodeh, Hedyeh, 2022. "Holistic survey of reflective insulation systems (RISs) in vertical applications in building envelopes under various climatic conditions," Energy, Elsevier, vol. 242(C).
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    3. Hamed H. Saber & David W. Yarbrough, 2021. "Advanced Modeling of Enclosed Airspaces to Determine Thermal Resistance for Building Applications," Energies, MDPI, vol. 14(22), pages 1-36, November.
    4. Boyd, Gale A. & Pang, Joseph X., 2000. "Estimating the linkage between energy efficiency and productivity," Energy Policy, Elsevier, vol. 28(5), pages 289-296, May.
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