The new mathematical model is proposed to estimate the dilation/contra
ction behavior and coking pressure of packed bed of coal during carbon
ization. Volume fractions of gas, liquid and solid phase are determine
d from coal pyrolysis rate equations and the tar devolatilization is a
lso estimated. We assume that the dilatation of packed bed of coal is
caused by impermeability of plastic layer where the tar released from
coal mainly exists in the void. The gas released from coal pushes the
impermeable plastic layer and then the dilatation pressure is detected
. The calculated result using this model is compared with one calculat
ed using the ordinary method where the dilatation of the bed is estima
ted by true dilatation as a function of heating rate. The model propos
ed in this study can stimulate the decrease of permeability caused by
tar release and formation of coking pressure in the plastic layer. The
coking pressure becomes large with an increase in the heating rate. O
n the other hand, the ordinary model predicts very large coking pressu
re in any heating rate. The proposed model may be a useful tool to est
imate the dilation/contraction behavior of packed bed of coal.