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22.14.1 Summary of Property Inputs

Tables  22.14.1- 22.14.5 summarize which of these property inputs are used for each particle type and in which of the equations for heat and mass transfer each property input is used. Detailed descriptions of each input are provided in Section  22.14.2.


Table 22.14.1: Property Inputs for Inert Particles
Property Symbol
density $\rho_p$ in Eq.  22.2-1
specific heat $c_p$ in Eq.  22.9-11
particle emissivity $\epsilon_p$ in Eq.  22.9-11
particle scattering factor $f$ in Eq.  13.3-13
thermophoretic coefficient $D_{T,p}$ in Eq.  22.2-14


Table 22.14.2: Property Inputs for Droplet Particles
Properties Symbol
density $\rho_p$ in Eq.  22.2-1
specific heat $c_p$ in Eq.  22.9-25
thermal conductivity $k_p$ in Eq.  22.2-15
viscosity $\mu$ in Eq.  22.7-11
latent heat $h_{\rm fg}$ in Eq.  22.9-25
vaporization temperature $T_{\rm vap}$ in Eq.  22.9-18
boiling point $T_{\rm bp}$ in Eq.  22.9-18, 22.9-26
volatile component fraction $f_{v 0}$ in Eq.  22.9-19, 22.9-27
binary diffusivity $D_{i,m}$ in Eq.  22.9-23
saturation vapor pressure $p_{\rm sat}(T)$ in Eq.  22.9-21
heat of pyrolysis $h_{\rm pyrol}$ in Eq.  22.9-2
droplet surface tension $\sigma$ in Eq.  22.8-19, 22.7-10
particle emissivity $\epsilon_p$ in Eq.  22.9-25, 22.9-31
particle scattering factor $f$ in Eq.  13.3-13
thermophoretic coefficient $D_{T,p}$ in Eq.  22.2-14


Table 22.14.3: Property Inputs for Combusting Particles (Laws 1-4)
Properties Symbol
density $\rho_{p}$ in Eq.  22.2-1
specific heat $c_{p}$ in Eq.  22.9-11
latent heat $h_{\rm fg}$ in Eq.  22.9-2
vaporization temperature $T_{\rm vap}=T_{\rm bp}$ in Eq.  22.9-32
volatile component fraction $f_{v0}$ in Eq.  22.9-33
swelling coefficient $C_{\rm sw}$ in Eq.  22.9-65
burnout stoichiometric ratio $S_{b}$ in Eq.  22.9-72
combustible fraction $f_{\rm comb}$ in Eq.  22.9-71
heat of reaction for burnout $H_{\rm reac} $ in Eq.  22.9-72 22.9-86
fraction of reaction heat given to solid $f_h$ in Eq.  22.9-86
particle emissivity $\epsilon_p$ in Eq.  22.9-66, 22.9-86
particle scattering factor $f$ in Eq.  13.3-13
thermophoretic coefficient $D_{T,p}$ in Eq.  22.2-14
devolatilization model  
- law 4, constant rate  
- - constant $A_0$ in Eq.  22.9-34
- law 4, single rate  
- - pre-exponential factor $A_1$ in Eq.  22.9-35
- - activation energy $E$ in Eq.  22.9-35
- law 4, two rates  
- - pre-exponential factors $A_{1}, A_{2}$ in Eq.  22.9-38, 22.9-39
- - activation energies $E_{1}, E_{2}$ in Eq.  22.9-38, 22.9-39
- - weighting factors $\alpha_{1}, \alpha_{2}$ in Eq.  22.9-40
- law 4, CPD  
- - initial fraction of bridges in coal lattice $p_0$ in Eq.  22.9-51
- - initial fraction of char bridges $c_0$ in Eq.  22.9-50
- - lattice coordination number $\sigma +1$ in Eq.  22.9-62
- - cluster molecular weight $M_{w,1}$ in Eq.  22.9-62
- - side chain molecular weight $M_{w, \delta}$ in Eq.  22.9-61



Table 22.14.4: Property Inputs for Combusting Particles (Law 5)
Properties Symbol
combustion model  
- law 5, diffusion rate  
- - binary diffusivity $D_{i,m}$ in Eq.  22.9-73
- law 5, diffusion/kinetic rate  
- - mass diffusion limited rate constant $C_1$ in Eq.  22.9-74
- - kinetics limited rate pre-exp. factor $C_{2}$ in Eq.  22.9-75
- - kinetics limited rate activ. energy $E$ in Eq.  22.9-75
- law 5, intrinsic rate  
- - mass diffusion limited rate constant $C_{1}$ in Eq.  22.9-74
- - kinetics limited rate pre-exp. factor $A_i$ in Eq.  22.9-84
- - kinetics limited rate activ. energy $E_i$ in Eq.  22.9-84
- - char porosity $\theta$ in Eq.  22.9-81
- - mean pore radius $\overline{r}_p$ in Eq.  22.9-83
- - specific internal surface area $A_g$ in Eq.  22.9-78, 22.9-80
- - tortuosity $\tau$ in Eq.  22.9-81
- - burning mode $\alpha$ in Eq.  22.9-85
- law 5, multiple surface reaction  
- - binary diffusivity $D_{i,m}$ in Eq.  22.9-73


Table 22.14.5: Property Inputs for Multicomponent Particles (Law 7)
Property Symbol
mixture species selected droplets for components
density $\rho_p$ in Eq.  22.2-1
specific heat $c_p$ in Eq.  22.9-89
thermal conductivity $k_p$ in Eq.  22.2-15
vapor particle equilibrium $C_{i,s}$ in Eq.  22.3-4


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