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. Author manuscript; available in PMC: 2013 May 29.
Published in final edited form as: Chem Eng Sci. 2010 Oct 15;65(20):5471–5481. doi: 10.1016/j.ces.2010.07.011
Ar surface area concentration of rough coating shell [m2 m−3]
As surface area concentration of smooth coating shell [m2 m−3]
A2 surface area concentration of coating particles [m2 m−3]
a1 surface area of coating monomer [m2]
a2 surface area of coating particle [m2]
a2f surface area of fully-coalesced (spherical) coating particle [m2]
C coating precursor vapor concentration [# m−3]
C0 initial coating precursor vapor concentration [# m−3]
CR cooling rate [K s−1]
Df fractal dimension [-]
d2 collision diameter of coating particle [m]
dcs collision diameter of core particle (smooth) [m]
dcr collision diameter of core particle (fractal-like) [m]
dpc primary particle diameter of core particle [m]
dpcr equivalent primary particle diameter of core agglomerate coated with rough shells [m]
dpcs diameter of core primary particle (smooth) [m]
dpcδ diameter of core primary particle with smooth coating shell
(fractal-like)
[m]
dp,min minimum sintering primary particle diameter [m]
dpr primary particle diameter of rough coating shell [m]
dp2 primary particle diameter of coating particle [m]
Fsc fraction of smooth coating shells [%]
k overall oxidation rate constant [s−1]
kg gas phase oxidation rate constant [s−1]
ks overall surface oxidation rate constant [s−1]
N1 number concentration of coating monomers [# m−3]
N2 number concentration of coating particles [# m−3]
Nc number concentration of core particles [# m−3]
Nc0 initial number concentration of core particles [# m−3]
nm number of monomers per precursor molecule [-]
np2 number of primary particles per coating particle [-]
npc number of core primary particles per core particle [-]
npc0 initial number of core primary particles per core particle [-]
npcr number of equivalent primary particles per core agglomerate coated with rough shells [-]
Q gas flow rate [m3 s−1]
Q0 initial gas flow rate [m3 s−1]
r volume ratio, r = v2/v1 [-]
T temperature [K]
t residence time [s]
Vr volume concentration of rough coating shells [m3 m−3]
Vs volume concentration of smooth coating shells [m3 m−3]
V2 volume concentration of coating particles [m3 m−3]
v1 volume of coating monomer [m3]
v2 volume of coating particle [m3]
WF weight fraction of coating material [%]