In: Mechanical Engineering
The spectral absorptivity of a large diffuse surface is
????=0.850 for ??<1???? and ????=0.25 for ???1????. The bottom
of the surface is well insulated, while the top may be exposed to
one of two different conditions.
(a) In case (a) the surface is exposed to the sun, which provides
an irradiation of ????=1200 W/m2, and to an airflow for which T =
300 K. If the surface temperature is Ts =320 K, what is the
convection coefficient associated with the airflow?
(b) In case (b) the surface is shielded from the sun by a large
plate and an airflow is maintained between the plate and the
surface. The plate is diffuse and gray with an emissivity of
????=0.8. If ???=300 K and the convection coefficient 30 W/m2K,
what is the plate temperature Tp that is needed to maintain the
surface at Ts =320 K?
(c) in case (b) the large surface and the plate both have a
dimension of 8m by 8m, and the separation distance is 2m. The other
conditions remain the same. What would be the plate temperature
that is needed to maintain the surface at Ts=320K?