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Research Papers

Thermal Behavior in a Transient State of a Case of Hollow Block: Transfer Function Coefficients

[+] Author and Article Information
T. Ait-Taleb

Polydisciplinary Faculty of Ouarzazate,
Ibn Zohr University,
Ouarzazate B.P. 638, Morocco
e-mail: taittaleb@gmail.com

A. Abdelbaki

LMFE,
Department of Physics,
Faculty of Sciences Semlalia,
Cadi Ayyad University,
Marrakesh B.P. 2390, Morocco

Z. Zrikem

LMFE, Department of Physics,
Faculty of Sciences Semlalia,
Cadi Ayyad University,
Marrakesh B.P. 2390, Morocco

1Corresponding author.

Contributed by the Solar Energy Division of ASME for publication in the JOURNAL OF SOLAR ENERGY ENGINEERING: INCLUDING WIND ENERGY AND BUILDING ENERGY CONSERVATION. Manuscript received November 3, 2014; final manuscript received May 14, 2015; published online June 16, 2015. Assoc. Editor: Prof. Nesrin Ozalp.

J. Sol. Energy Eng 137(4), 041013 (Aug 01, 2015) (7 pages) Paper No: SOL-14-1323; doi: 10.1115/1.4030695 History: Received November 03, 2014; Revised May 14, 2015; Online June 16, 2015

The aim of this work is to determine the empirical transfer function coefficients (TFCs) for the case of a hollow tile with two air cells deep in the vertical direction. We start with the prediction of combined heat transfer by conduction, natural convection, and radiation by using a detailed numerical simulation when the system is submitted to the realistic time varying temperatures. Then, the results of the simulation (the time-varying heat fluxes at the hollow tile surfaces) are used to obtain empirical TFCs by using an identification method. The dynamic responses of the hollow tile that are predicted using both the TFCs and the simulation program are compared for thermal excitations that differ from those used to derive the coefficients. The results show a good harmony between the two procedures’ predictions. In addition, other different comparisons in terms of the overall thermal conductance coefficients are presented and discussed.

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References

Figures

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Fig. 4

Variations of the thermal excitations as a function of time: (a) summer-time and (b) winter-time

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Fig. 3

Streamlines (a) and isotherms (b) obtained in steady-state conditions with heating from above for ΔT = 10 °C

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Fig. 2

Schematic diagram of the studied hollow tile with two air cells deep in the vertical direction

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Fig. 1

General schematic diagram with arrangement of hollow blocks in building roofs

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Fig. 5

Comparison of heat fluxes computed using the simulation program with those predicted using the empirical TFCs in summer-time

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Fig. 6

Comparison of heat fluxes computed using the simulation program with those predicted using the empirical TFCs in winter-time

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Fig. 7

Comparison of heat fluxes computed using the simulation program with those predicted using the empirical TFCs for a sinusoidal inside thermal excitation

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