Nomenclature

A_{s} Overall external particle surface area to unit volume ratio, m~

C_{p} Heat capacity, J/kg K

C_{b} CO_{2} concentration in gas, mol/m^{3}

C_{e} Equilibrium CO_{2} concentration, mol/m^{3}

C; Concentration at reaction interface, mol/m^{3}

D_{g} Product layer diffusivity, m^{2} /s

d_{p} Particle diameter, m

D_{vg} Moisture diffusivity of gas phase, m^{2} /s

D_{vs} Moisture diffusivity of solid phase, m^{2} /s

e_{ss} Particle restitution coefficient

e_{sw} Restitution coefficient between solid and wall

f Number density function

f Dimensionless number density function

g_{0} Radial distribution function at contact during binary collision

h_{g} Enthalpy of gas phase per unit mass, J/kg

h_{s} Enthalpy of solid phase per unit mass, J/kg

H_{vap} Heat of vaporization per unit mass, J/kg

k_{s} Reaction rate constant, m/s

K_{sg} Mass transfer coefficient, m/s

m_{sg} Mass transfer rate, kg/m^{3} -s

MW Molecular weight, kg/kmol

^{N} °MgO Initial number of moles of MgO, mol/m^{3}

Nu Nusselt number

P_{v} Vapor pressure, N/m^{2}

q Rate of heat flux, W/K

Q_{sg} Rate of heat transfer per volume between gas and solid, W/m^{3}

rr Rate of carbonation reaction, kmol/kg s

Re_{p} Particle Reynolds number

r_{p} Radius of sorbent particle, m

r_{c} Radius of unreacted core of sorbent particle, m

Sc Schmidt number

Sh Sherwood number

T Temperature, K

v_{g} Gas-phase velocity, m/s

v_{p} Particle-phase velocity, m/s

v_{s} Solid-phase velocity, m/s

v_{s} ,_{para} Particle slip velocity parallel to the wall, m/s

X Sorbent conversion

X_{cr} Critical moisture content, kg_{water} /kg_{solid}

Xf Final volume-averaged moisture content, kg_{water} /kg_{so} i_{id}

X_{s} Volume-averaged moisture content of the solid phase, kg_{water} /kg_{solid}

Y_{v} Moisture fraction in gas phase

Y* Moisture fraction of saturated drying gas at surface of wet particles

Greek Symbols

ф Specularity coefficient between the particle and the wall p_{i} ith moments of density distribution function a_{gs} Gas-particle heat transfer coefficient, W/m^{2} K e_{k} kth phase volume fraction

в Granular temperature, m^{2} /s^{2}

? Sorbent density, kg/m^{3}

p_{k} kth phase density, kg/m^{3}

т_{к} kth phase stress tensor, N/m^{2}