The importance of the rise angle of bubbles on the influence of local bubbl
e-size distribution in fluidized beds was studied. A new method is proposed
for transforming chord-length distribution to a local bubble-size distribu
tion, including the effect of the velocity vector direction on the transfor
mation. Monte-Carlo simulation was used to generate bubbles synthetically w
ith several rise angels, based on the fact that the velocity vector directi
on distribution of bubbles was a Bingham distribution. The transformation o
f chord-length data obtained by an imaginary probe, using the Parzen window
as an estimation of the probability density function, gives a good estimat
ion of the local bubble-size distribution for different rise angles and the
new approach offered here, knowing that the direction of the velocity vect
or direction for any orientation of the bubbles in the fluidized bed gives
a superior agreement than the approach where the local bubble-size distribu
tion is estimated from bubbles with vertical rises.