# Fig xA Overall particle conversion X

This formula shows that Nexturastat A the heating rate is affected by both position and time. Here, the detailed simulation showed that the devolatilization temperature from the particle simulation was close to the average of initial and gas temperatures. We can obtain the time to reach the average temperature, (T0 + Te)/2, using Eq. (22) as:equation(24)tTave-1/2=2αrerf-1(0.5)∼αr,

By substituting Eq. (24) to Eq. (23), the heating rate of any given position inside the particle at average temperature can be correlated to reaction conditions as:equation(25)dTdtTave∝αr2(Te-T0)

Eqs. (21) and (25) indicate that the devolatilization temperature has correlation with the physical constant, α/r2, and reactor temperature, Tr, although it was obtained with extended amount of simplification. In fact, the devolatilization temperature obtained by the average value of particle simulation (see Fig. 8) had clear correlation to the physical constant and reactor temperature as shown in Fig. 9. Wood pellets and wood logs seem to have same correlations when convective cooling was considered with relaxation factor for thermal conductivity. Regression analyses showed that the correlation can be expressed as the following equation with R2 = 0.9923:equation(26)Tdev=0.1265Te+18.28lnαD2+695