On an overcast day the directional distribution of the solar radiation incident on the earth’s surface may be approximated by an expression of the form , where is the total intensity of radiation directed normal to the surface and is the zenith angle. What is the solar irradiation at the earth’s surface?
Step 11 of 2
Given: , W/m.sr
The total intensity is given by,
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According to its directional distribution, solar radiation incident on the earth’s surface may be divided into two components. The direct component consists of parallel rays incident at a fixed zenith angle , while the diffuse component consists of radiation that may be approximated as being diffusely distributed with . Consider clear sky conditions for which the direct radiation is incident at , with a total flux of , and the total intensity of the diffuse radiation is . What is the total solar irradiation at the earth’s surface?
A certain town’s weather is classified each day as being rainy, sunny, or overcast, but dry. If it is rainy one day, then it is equally likely to be either sunny or overcast the following day. If it is not rainy, then there is one chance in three that the weather will persist in whatever state it is in for another day, and if it does change, then it is equally likely to become either of the other two states. In the long run, what proportion of days are sunny? What proportion are rainy?