Repeat Problem 10.1 for a medium of thickness L = 1 m. Discuss how the answer would change if κ
varied between 0 and ∞.
A semi-infinite, gray, nonscattering medium (n = 2, κ = 1 m−1
) is irradiated by the sun normal to
its surface at a rate of qsun = 1000 W/m2
. Neglecting emission from the relatively cold medium,
determine the local heat generation rate due to absorption of solar energy.
Hint: The solar radiation may be thought of as being due to a radiative intensity which has a large
value Io over a very small cone of solid angles δΩ, and is zero elsewhere, i.e.,