At a location with a northern latitude of 35°, the measured direct beam and diffuse solar radiation intensities, on August 15 at 10 a.m. solar time, are 605 Wmí2 and 156 Wmí2 respectively. A thin...

At a location with a northern latitude of 35°, the measured direct beam and diffuse solar radiation intensities, on August 15 at 10 a.m. solar time, are 605 Wmí2 and 156 Wmí2 respectively. A thin vertical wall at the location faces south-east. The emissivity of the wall surface is 0.85 and its thermal resistance is 0.2 m2 KWí1 . The reflectivity of the ground surrounding the wall is 0.2. The ambient temperature and the inside air temperature are 32°C and 24°C respectively. The overall external and internal heat transfer coefficients are 30 Wmí2 Kí1 and 9 Wmí2 Kí1 respectively. Calculate (i) sol-air temperature, (ii) the temperature of the wall surface, and (iii) the heat flow rate into the building. Assume that the heat capacity of the wall is negligible.