G. Flamant et al., RADIATION HEAT-TRANSFER IN FLUIDIZED-BEDS - A COMPARISON OF EXACT ANDSIMPLIFIED APPROACHES, Journal of heat transfer, 116(3), 1994, pp. 652-659
Radiation heat transfer at heat exchanger walls in fluidized beds has
never been examined through a complete formulation of the problem. In
this paper a wall-to-bed heat transfer model is proposed to account fo
r particle convection, gas convection, and radiation exchange in a var
iable porosity medium. Momentum, energy, and intensity equations are s
olved in order to determine the velocity, temperature, radiative heat
flux profiles and heat transfer coefficients. The discrete-ordinates m
ethod is used to compute the radiative intensity equation and the radi
ative flux divergence in the energy equation. Both the gray and the no
n-gray assumptions are considered, as well as dependent and independen
t scattering. The exact solution obtained is compared with several sim
plified approaches. Large differences are shown for small particles at
high temperature but the simplified solutions are valid for large par
ticle beds. The dependency of radiative contribution on controlling pa
rameters is discussed.