Temperature and Heat Flux Distributions through Single and Double Window Glazing Nongray Calculation
Maatouk Khoukhi, Shigenao Maruyama
DOI: 10.4236/sgre.2011.21003   PDF   HTML     7,056 Downloads   12,344 Views   Citations


Accurate prediction of thermal radiation by applying rigorous model for the radiative heat transfer combined with the conduction and the convection has been performed for a single and double window glazing subjected to solar and thermal irradiation. The glass window is analysed as a non-gray plane-parallel medium disctritized to thin layer as-suming the glass material as participating media in one-dimensional case, using the Radiation Element Method by Ray Emission Model (REM2). The model allows the calculation of the steady-state heat flux and the temperature distribution within the glass cover. The spectral dependence of the relevant radiation properties of glass (i.e. specular reflectivity, refraction angle and absorption coefficient) is taken into account. Both solar and thermal incident irradiations are applied at the boundary surfaces using the spectral solar model proposed by Bird and Riordan. The optical constant of a commercial clear glass material have been used. The calculation has been performed during winter period and the effect of the thickness of the glass for a single glazing and of the air layer between the two panels for double glazing has been studied. The result shows that increasing the air layer, the steady heat flux decreases and the temperature distribution within the glass changes.

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M. Khoukhi and S. Maruyama, "Temperature and Heat Flux Distributions through Single and Double Window Glazing Nongray Calculation," Smart Grid and Renewable Energy, Vol. 2 No. 1, 2011, pp. 21-26. doi: 10.4236/sgre.2011.21003.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] J. R. Howell, B. B. Bannerot and G. C. Vliet, “Solar-Thermal Energy Systems Analysis and Design,” McGraw-Hill Inc., New York, 1982.
[2] J. A. Duffie and W. A. Beckman, “Solar Energy Thermal Process,” John Wiley & Sons, Inc., New York, 1974.
[3] R. E. Bird and C. Riordan, “Simple Solar Spectral Model for Direct and Diffuse Irradiance on Horizontal and Tilted Planes at the Earth’s Surface for Cloudless Atmospheres,” Journal of Climate and Applied Meteorology, Vol. 25, No. 1, 1986, pp. 87-97. doi:10.1175/1520-0450(1986)025<0087:SSSMFD>2.0.CO;2
[4] S. Maruyama and T. Aihara, “Radiation Heat Transfer of Arbitrary Three-Dimensional Absorbing, Emitting and Scattering Media and Specular and Diffuse Surfaces,” Journal of Heat Transfer, Vol. 119, No. 1, 1997, pp. 129-136. doi:10.1115/1.2824077
[5] M. Khoukhi, S. Maruyama, S. Sakai and M. Behnia, “Combined Non-Gray Radiative and Conductive Heat Transfer in Solar Collector Glass Cover,” Solar Energy, Vol. 75, No. 4, 2003, pp. 285-293. doi:10.1016/j.solener.2003.08.027
[6] M. Khoukhi, “Non-Gray Radiative and Conductive Heat Transfer in Single and Double Glazing Solar Collector Glass Cover,” International Journal of Thermal Sciences, Vol. 45, No. 6, 2006, pp. 579-585. doi:10.1016/j.ijthermalsci.2005.07.003
[7] H. L. Kong and R. Viskanta, “Comparison of the Diffusion Approximation and the Discrete Ordinates Method for the Investigation of Heat Transfer in Glass,” Glastechnische Berichte—Glass Science and Technology, Vol. 72, No. 8, 1999, pp. 254-265.
[8] C. M. Spuckler and R. Siegel, “Refractive Index Effects on Radiation Behaviour of Heated Absorbing-Emitting Layer,” Journal of Thermophysics and Heat Transfer, Vol. 6, No. 4, 1992, pp. 596-604. doi:10.2514/3.11539
[9] C. H. Ho and N. Ozisik, “Combined Conduction and Radiation in a Two-Layer Planar Medium with Flux Boundary Condition,” Numerical Heat Transfer, Vol. 11, No. 3, 1987, pp. 321-340. doi:10.1080/10407788708913557
[10] S. V. Patankar, “Numerical Heat Transfer and Fluid Flow,” Hemisphere Publishing Corporation, Washington DC, 1980, pp. 41-74.
[11] M. Khoukhi, S. Maruyama, A. Komiya and M. Behnia, “Flat-Plate Solar Collector Performance with Coated and Uncoated Cover,” Heat Transfer Engineering, Vol. 27, No. 1, 2006, pp. 46-53. doi:10.1080/01457630500343009

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