Abstract
A rigorous model is developed to calculate the shortwave radiation incident on building surfaces, based on radiation enclosure theory. When compared with field measurements, the model predictions are found to be associated with errors of approximately 10 W m−2, with underestimations of 5–10 W m−2 being caused on some walls by neglect of specular reflections. The effects of various simplifying assumptions are tested. The assumption of isotropic sky radiation and the neglect of multiple reflections are found to lead to errors of 15 W m−2 or less; the neglect of horizon obstructions and the use of albedos taken from the literature instead of measured values can result in errors of 50 W m−2 or more. Although these magnitudes of errors are site-specific, it is concluded that the use of simplifications in the modelling of shortwave radiation incident on urban surfaces must be approached with care.
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References
ASHRAE: 1977, Handbook of Fundamentals, American Society of Heating, Refrigerating and Air-Conditioning Engineers, New York, 756 pp.
Arnfield, A. J.: 1976, ‘Numerical Modelling of Urban Surface Radiative Parameters’, in Papers in Climatology — The Cam Allen Memorial Volume, McMaster University, Hamilton, Canada, 141 pp.
Bourges, B.: 1985, ‘Improvement in Solar Declination Computation’, Solar Energy 35, 367–369.
Brühl, C. and Zdunkowski, W.: 1983, ‘An Approximate Calculation Method for Parallel and Diffuse Solar Irradiances on Inclined Surfaces in the Presence of Obstructing Mountains or Buildings’, Archive Meteorol. Geophys. Bioclim., Ser. B, 32, 111–129.
Chapman, A. J.: 1974, Heat Transfer, 3rd ed., MacMillan, New York, 653 pp.
Coombes, C. A. and Harrison, A. W.: 1988, ‘Angular Distribution of Overcast Sky Short Wavelength Radiance’, Solar Energy 40, 161–166.
Frank, R. S., Gerding, R. B., O'Rouke, P. A., and Terjung, W. H.: 1981, ‘An Urban Radiation Obstruction Model’, Boundary-Layer Meteorol. 20, 259–264.
Hooper, F. C., Brunger, A. P., and Chan, C. S.: 1987, ‘A Clear Sky Model of Diffuse Sky Radiance’, J. Solar Energy Eng. 109, 9–14.
Incropera, F. P. and DeWitt, D. P.: 1981, Fundamentals of Heat Transfer, Wiley, New York, 819 pp.
Moon, P. and Spencer, D. E.: 1942, ‘Illumination from a Non-Uniform Sky’, Transact. Illumin. Eng. Soc. 37, 707–726.
Oke, T. R.: 1978, Boundary Layer Climates, Methuen, London, 372 pp.
Sellers, W. D.: 1965, Physical Climatology, University of Chicago Press, Chicago, 272 pp.
Siegel, R. and Howell, J. R.: 1981, Thermal Radiation Heat Transfer, McGraw-Hill, New York, 862 pp.
Skartveit, A. and Olseth, J. A.: 1986, ‘Modelling Slope Irradiance at High Latitudes’, Solar Energy 36, 333–344.
Steven, M. D.: 1977, ‘Standard Distributions of Clear Sky Radiance’, Quart. J. Roy Meteorol. Soc. 103, 457–465.
Steven, M. D. and Unsworth, M. H.: 1980, ‘The Angular Distribution and Interception of Diffuse Solar Radiation Below Overcast Skies’, Quart. J. Roy. Meteorol. Soc. 106, 57–61.
Terjung, W. H. and Louie, S. S-F.: 1973, ‘Solar Radiation and Urban Heat Islands’, Annals Assoc. Amer. Geogr. 63, 181–207.
Todhunter, P. E. and Terjung, W. H.: 1988, ‘Intercomparison of Three Urban Climate Models’, Boundary-Layer Meteorol. 42, 181–205.
Verseghy, D. L.: 1987, ‘On the Measurement and Modelling of Radiative Exchange for Building Surfaces’, unpublished Ph.D. thesis, University of Toronto, 170 pp.
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Verseghy, D.L., Munro, D.S. Sensitivity studies on the calculation of the radiation balance of urban surfaces: I. Shortwave radiation. Boundary-Layer Meteorol 46, 309–331 (1989). https://doi.org/10.1007/BF00172239
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DOI: https://doi.org/10.1007/BF00172239