Integrating eq. (37) in the interval [0,D], we obtain the beam irradiance, in W, on the unshaded side of the collector, i.e., i.e., the beam irradiance on a catenary collector is equivalent to that of a flat plate collector MNMsNs. This conclusion is also valid for any non-flat shape collector. The beam irradiance on a collector that is partially shaded can not be obtained by multiplying the incoming beam irradiance with the factor (1-e) as for a flat plate collector since the beam irradiance on the collector is not uniform along the y axis of the collector, i.e., the angle 0 varies with y. Using eqs. (33), (35) and (36), the variation of the beam irradiance, in W/m2, along the collector is: Substituting these results, we obtain the beam irradiance on the partially shaded side of the collector:
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