a) Explain the difference between black and grey surfaces in terms of radiative heat transfer.
b) Write the radiosity and irradiation equations for two grey surfaces transferring heat by radiation.
c) Two surfaces make up an enclosure where surface 1 is flat and has area A1, temperature T1 and emissivity ε1. Surface 2 is black and has temperature T2. Show that the net power transfer rate in W/m² at surface 1 is given by ε1Ļ(T1ā“ ā T2ā“).
d) Estimate the net radiative heat transfer between an ice rink of 20 m diameter and a hemispherical dome of the same diameter enclosing it. The temperature of the inner surface of the dome is 20 °C higher than the ice temperature of 270 K. Both surfaces are considered black. The Stephan-Boltzmann constant is 5.67x10ā»āø W/m² Kā“.