23.5.1 Summary of Property Inputs

Tables  23.5.1- 23.5.5 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  23.5.2.

Table 23.5.1: Property Inputs for Inert Particles

Property	Symbol
density	$\rho_p$ in this equation in the separate Theory Guide
specific heat	$c_p$ in this equation
particle emissivity	$\epsilon_p$ in this equation
particle scattering factor	$f$ in this equation
thermophoretic coefficient	$D_{T,p}$ in this equation

Table 23.5.2: Property Inputs for Droplet Particles

Properties	Symbol
density	$\rho_p$ in this equation in the separate Theory Guide
specific heat	$c_p$ in this equation
thermal conductivity	$k_p$ in this equation
viscosity	$\mu$ in this equation
latent heat	$h_{\rm fg}$ in this equation
vaporization temperature	$T_{\rm vap}$ in this equation
boiling point	$T_{\rm bp}$ in this equation , this equation
volatile component fraction	$f_{v 0}$ in this equation , this equation
binary diffusivity	$D_{i,m}$ in this equation
saturation vapor pressure	$p_{\rm sat}(T)$ in this equation
heat of pyrolysis	$h_{\rm pyrol}$ in this equation
droplet surface tension	$\sigma$ in this equation , this equation
particle emissivity	$\epsilon_p$ in this equation , this equation
particle scattering factor	$f$ in this equation
thermophoretic coefficient	$D_{T,p}$ in this equation
critical temperature	$T_{c,i}$ in this equation
critical pressure	$p_{c,i}$ in this equation
accentric factor	$\omega_i$ in this equation

Table 23.5.3: Property Inputs for Combusting Particles (Laws 1-4)

Properties	Symbol
density	$\rho_{p}$ in this equation in the separate Theory Guide
specific heat	$c_{p}$ in this equation
latent heat	$h_{\rm fg}$ in this equation
vaporization temperature	$T_{\rm vap}=T_{\rm bp}$ in this equation
volatile component fraction	$f_{v0}$ in this equation
swelling coefficient	$C_{\rm sw}$ in this equation
burnout stoichiometric ratio	$S_{b}$ in this equation
combustible fraction	$f_{\rm comb}$ in this equation
heat of reaction for burnout	$H_{\rm reac}$ in this equation this equation
fraction of reaction heat given to solid	$f_h$ in this equation
particle emissivity	$\epsilon_p$ in this equation , this equation
particle scattering factor	$f$ in this equation
thermophoretic coefficient	$D_{T,p}$ in this equation
devolatilization model
- law 4, constant rate
- - constant	$A_0$ in this equation
- law 4, single rate
- - pre-exponential factor	$A_1$ in this equation
- - activation energy	$E$ in this equation
- law 4, two rates
- - pre-exponential factors	$A_{1}, A_{2}$ in this equation , this equation
- - activation energies	$E_{1}, E_{2}$ in this equation , this equation
- - weighting factors	$\alpha_{1}, \alpha_{2}$ in this equation
- law 4, CPD
- - initial fraction of bridges in coal lattice	$p_0$ in this equation
- - initial fraction of char bridges	$c_0$ in this equation
- - lattice coordination number	$\sigma +1$ in this equation
- - cluster molecular weight	$M_{w,1}$ in this equation
- - side chain molecular weight	$M_{w, \delta}$ in this equation

Table 23.5.4: Property Inputs for Combusting Particles (Law 5)

Properties	Symbol
combustion model
- law 5, diffusion rate
- - binary diffusivity	$D_{i,m}$ in this equation in the separate Theory Guide
- law 5, diffusion/kinetic rate
- - mass diffusion limited rate constant	$C_1$ in this equation
- - kinetics limited rate pre-exp. factor	$C_{2}$ in this equation
- - kinetics limited rate activ. energy	$E$ in this equation
- law 5, intrinsic rate
- - mass diffusion limited rate constant	$C_{1}$ in this equation
- - kinetics limited rate pre-exp. factor	$A_i$ in this equation
- - kinetics limited rate activ. energy	$E_i$ in this equation
- - char porosity	$\theta$ in this equation
- - mean pore radius	$\overline{r}_p$ in this equation
- - specific internal surface area	$A_g$ in this equation , this equation
- - tortuosity	$\tau$ in this equation
- - burning mode	$\alpha$ in this equation
- law 5, multiple surface reaction
- - binary diffusivity	$D_{i,m}$ in this equation

Table 23.5.5: Property Inputs for Multicomponent Particles (Law 7)

Property	Symbol
mixture species	selected droplets for components
density	$\rho_p$ in this equation in the separate Theory Guide
specific heat	$c_p$ in this equation
thermal conductivity	$k_p$ in this equation
vapor particle equilibrium	$C_{i,s}$ in this equation