ABSTRACT

So far, we have discussed several methods to calculate radiative heat exchange between different surfaces and structures. If the medium between such structures is not participating, that is, not absorbing, scattering, or emitting, then a relatively simple view factor analysis can be used to determine the net radiation ux on each surface. On the other hand, if the medium is participating, then determination of radiative exchange between surfaces becomes quite complicated. As discussed before, that requires the solution of the integro-differential radiative transfer equation for the corresponding geometry with proper boundary conditions. In addition, we need to know the radiative properties of different particles and gases that constitute the medium. These properties may vary locally as they would depend on gas partial pressures, particle volume fraction proles, shape and size distributions, and material properties. All these properties are wavelength dependent and may be a strong function of temperature; therefore they need to be predicted together with the solutions of the radiative transfer equation and the conservation of energy equation.