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Energy balance ∆Hads∂qi +∂(vh)+U (T−T )=0 b i pg b ps ∂t b i ∂t ∂x A w ε C(Ci −R)+ρC ∂T −ρ ii Ci =ai+biT+ciT2+diT3 pg c c c c h= CCidT i pg i Dual-site Langmuir Isotherm ∗ q 1s i b 1 i C i R T qi = q 2s i b 2 i C i R T + i∈{L,H} 3.3 Model Equations Table 3.1: PSA Model Equations Component mass balance ε ∂Ci +(1−ε)ρ ∂qi +∂(vCi)=0 b∂t bs∂t∂x LDF equation ∂qi =ki(qi∗−qi) i∈{L,H} ∂t i∈{L,H} i∈{L,H} (3.2) (3.3) (3.4) (3.5) (3.6) (3.7) (3.8) (3.9) (3.10) (3.11) (3.12) (3.13) − = ∂ x P = RT d 2p ε 3b Ci d p ε 3b 1 + b1jCjRT jj 1 + b2jCjRT qs =k1 +k2 T b =k3 exp(km4i) i∈{L,H} m=1,2 mi mi mi mi mi T Ergun equation i MwiCi v|v| ∂P 150μ(1 − ε )2 1.75 1 − ε b b v+ Ideal gas equation i Bed connection equations (see Figure 3.1) Fi(t) = φ(t)vfeedCfeed,i + α(t)(−vd(t))Ci,d(t) T Ri(t) = β(t)va(t)Ca,i(t) i ∈ {L, H} LPi(t) = (1 − β(t))va(t)Ca,i(t) i ∈ {L, H} BRi(t) = α(t)(−vd(t))Cd,i(t) i ∈ {L, H} HPi(t) = (1 − α(t))(−vd(t))Cd,i(t) i ∈ {L, H} Cyclic Steady State (CSS) condition for beds CoB and CnB zCoB(x, 0) = zCnB(x, tf ), zCnB(x, 0) = zCoB(x, tf ), z(x,t)T =[CL(x,t),CH(x,t),qL(x,t),qH(x,t),T(x,t)] i ∈ {L, H} Chapter 3. PSA Superstructure 42PDF Image | Design and Operation of Pressure Swing Adsorption Processes
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