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uz=L =G.ufeed The initial conditions for feed flow (16) M. Mofarahi, E. J. Shokroo/Petroleum & Coal 55(3) 216-225, 2013 219 yi (z,0) = 0;qi (z,0) = 0;u(z,0) = 0 (17) T (z,0) = Tatm ;Tw (0) = Tatm (18) The pressure is assumed as a second order function of the time which is adapted to the literature [20]. P(t)=a..t2 +b.t+c (19) In the above equation a, b and f(t) parameteres defined regared to duration and initial and final pressures of each step. To consider the pressure drop effect across the bed, Ergun’s equation was introduced as a momentum balance [21]. − dP = a.μ.u + b.ρ.u. | u | (20) dz 150 (1−ε)2 (1−ε) a=4R2 . ε2 ;b=1.752R ε pp Where u is the interstitial velocity. (21) The multi-component adsorption equilibrium was predicted by the following Langmuir isotherm. (22) where, qm,i =k1 +k2.T;Bi =k3.exp(k4 T) (23) The sorption rate into an adsorbent pellet is described by the LDF model with a single lumped mass-transfer parameter [22]. ∂qi =ω.(q −q);ω=15Dei ∂t i i i i r2 (24) c q=∑ iN q .B.P m,i i i 1+ B.P jj j=1 where [23], 15Dei =C.P0.5.(1+B.P)2 r2 ir ii (25) c The adsorption isotherm parameters and diffusion rate constant of N2 and O2 over zeolite 5A and zeolite 13X are shown in Table 1. In Table 2 the adsorbent characteristics for both zeolites are indicated [20]. Table 3 shows physical properties of the adsorption bed [20,24]. Table 1 Equilibrium\Rate parameters and heat of adsorption of N2 and O2 on zeolite 5A and 13X. Parameters k1×103 (mol/g) k2×105 (mol/g.k) k3×104 (1/atm) k4 (k) K5 K6 (k) Heat of adsorption, (cal/mol) LDF constant (s-1) Zeolite 5A [20] Zeolite 13X [24] N2 O2 N2 O2 6.21 -1.27 1.986 1970 2.266 -396.5 5470 0.05 7.252 -1.820 54.19 662.6 -1.101 656.4 3160 0.15 12.52 -1.785 2.154 2333 1.666 -245.2 4390 0.197 6.705 -1.435 3.253 1428 -0.3169 387.8 3060 0.62PDF Image | PRESSURE SWING ADSORPTION PROCESSES FOR AIR SEPARATION WITH ZEOLITE
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