
Development of an Activated Carbon Fiber Cloth Adsorption/Regeneration System to Recover and Reuse Toxic Volatile Organic Compounds |
APPENDIX C Thermodynamic Model
{mass balance}
mLdot=rho1*xA1*Q1-rho2*xA2*Q2
{Wagner Equation}
xA2=(exp(((-7.45514*J5)+(1.202*(J5^1.5))+(-2.43926*(J5^3))+(-3.3559*(J5^6)))/(T2/508.1))*47)
J5=1-(T2/508.1)
{Thermodynamic Balance}
mLNdot*hLN+mLNdot*EnthN1=mLdot*hA+mLdot*EnthL+(rho1*Q1)*EnthAN*(T3-T2)
{Correlations}
rho1=P*MWT1/(R*T3)
rho2=P*MWT2/(R*T2)
Q2=(m2dot/rho2)
MWT1=xA1*MWA+xN1*MWN
MWT2=xA2*MWA+xN2*MWN
xA1+xN1=1
xA2+xN2=1
m2dot=m1dot-mLdot
m1dot=rho1*Q1
{Specific Heats}
CpN1=(31.2+-0.0136 * (TaveN1)+0.0000268 * (TaveN1)^2+ -0.0000000117 * (TaveN1)^3) *(1/MWN)*(1000) {g-mol/kg-mol}
CpN2=(31.2+-0.0136*(TaveN2)+0.0000268*(TaveN2)^2+-0.0000000117*(TaveN2)^3) *(1/MWN)*(1000) {Reid 226}
TaveN1=(T2+T1)/2
TaveN2=(T2+T3)/2
CpL=(2.3388-0.0038942*TaveA+1.1221e-05*(TaveA)^2)*1000 {J/kg K} {correlation with experimental data}
CpA=(6.301+0.261*TaveA-0.000125*(TaveA)^2+0.0000000204*(TaveA)^3)*(1/MWA)*(1000)
TaveA=(T3+T2)/2
CpAN=((xA1+xA2)/2)*CpA+((xN1+xN2)/2)*CpN2
{Enthalpies -- Integrated form of Specific Heats}
EnthN1=(31.2*(T2-T1)+-0.0136/2 * (T2^2-T1^2)^2+0.0000268 /3* (T2^3-T1^3)+ -0.0000000117/4* (T2^4-T1^4)) *(1/MWN)*(1000) {g-mol/kg-mol}
EnthN2=(31.2*(T3-T2)+-0.0136/2*(T3^2-T2^2)+0.0000268/3*(T3^3-T2^3)+-0.0000000117/4* (T3^4-T2^4)) *(1/MWN)*(1000) {Reid 226}
EnthL=(2.3388*(T3-T2)-0.0038942/2*(T3^2-T2^2)+1.1221e-05/3*(T3^3-T2^3))*1000
{J/kg K} {correlation with experimental data}
EnthA=(6.301*(T3-T2)+0.261/2*(T3^2-T2^2)-0.000125/3*(T3^3-T2^3)+0.0000000204/4* (T3^4-T2^4))*(1/MWA)*(1000)
EnthAN=((xA1+xA2)/2)*EnthA+((xN1+xN2)/2)*EnthN2
{Parameters}
P=101325 {N/m^2}
R=8314 {N m/K kg-mol}
T3=294 {K}
T1=77 {K}
MWA=58.1 {kg/kg-mol}
MWN=28.02 {kg/kg-mol}
Q1=(.4{Lpm}/(1000*60)) {m3/sec}
hA=524000*((1-TaveA/508.1)/(1-329.2/508.1))^0.27 {J/Kg}{Reid pg.228}
hLN=199106 {J/Kg}
xA1=0.25
mLNdot=0.00001667 {Kg/sec}