Monday, March 18, 2013
Shell and Body Should not be Difficult to Grasp
The shell is the part of the gray body that TSI*(1-albedo)/4 applies to, not the true "body" of the object. Since the "body" has to have some degree of perpendicular heat flow, the average energy available at that surface is TSI*cos(lat)/pi times the Cos(lon relative to local solar noon) Then allowance can be made for limits in transmittance to that point on the spherical body.
Anyone that has any interest in designing a solar pond is aware of the "average" insolation and the "peak" insolation for the pond location which are considered along with the thermal capacity and layer gradients to determine the "operating" temperature of the solar pond.
Once you move beyond the simplistic ideal approximations you can begin to actually understand the minimal gray body considerations that need to be made.