“…It is assumed that the FBHE system operates under constant pressure during each test, and fluidizing medium (air) is treated as an ideal gas. In order to simplify the complex problem of heat transfer from fluidized beds to immersed horizontal objects, the authors have used the following assumptions: (i) the particle packets and gas phase behave as a continuous flow fluidized bed, (ii) the gas temperature equals the particle packets temperature for a given examined condition since both phases are highly intermixed, (iii) at any given time, the heat transfer surface is covered by emulsion phase (particle packets) or gas bubbles, (iv) particle packets are brought into contact with the immersed horizontal tube surface by the motion of rising gas bubbles in the bed, (v) the gas convection contributes to the process of heat transfer by convective mixing, which augments the heat transfer in the gas gaps between the bed particles and the heat transfer surface and between neighboring particles, (vi) the heat capacity of packets is assumed to be equal to the solid heat capacity [38], (vii) the bubble fraction in the fluidized bed is estimated in agreement with the classical two-phase theory for aggregative fluidization [35,36], (viii) in the emulsion phase, heat transfer is assumed to be composed of particle convection (whose motion is a direct result of gas bubble flow), gas convection due to the interstitial gas velocity and radiation [27] and (ix) the density of an emulsion packet is not taken to be equal to the density of a loosely packed static bed of particles [38].…”