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Continuity Momentum Heat balance Massbalance ∂ρ ∂ρv 1−εb ∂t=−∂z+ ε ap bi 0 = −∂p − f ρ|u|u MiNi A B ∂z dp ερC +(1−ε)ρC ∂T bp bpp,p ∂t = −ρCpu∂T+∂ λ∂T +4U(Tw−T) ⎞ C d⟨qi⟩)⎟ ∂t ∂z ∂z ∂z εb Table 1: Column model equations ∂z ⎛ ∂z ∂z −(1 − ε )ρ ⎜(−∆H )r b p⎝ r WGS + dc (−∆H a,i dt ⎠ ∂(ρωi)=−∂ρvωi + ∂ Dzρ∂ωi +1−εbapMiNi D i 211 sense that they adsorb either CO2 or H2O, as described by Langmuir and Fre- 212 undlich isotherms, respectively. Competitive adsorption occurs in the nanopores, 213 which is described using a Dubinin-Astakhov equation based on volume filling the- 214 ory. The isotherm (Equations 4–6) is plotted in Figure 2. Throughout the partial 215 pressure range, the adsorption of CO2 is only slightly affected by the steam partial 216 pressure. Steam adsorption, on the other hand, does significantly depend upon the 217 CO2 partial pressure, particularly for steam partial pressures over 10 bar. qsCO KCO2 pCO2 qeq = 2 ACO (V0 − V0AH O) + 2 2 (4) CO2 1 + KCO2 pCO2 qeq =KHOp1/n + AH2O(V0−V0ACO2) (5) vm,CO2 (1 − ACO2 AH2O) H2O 2 H2O vm,H2O(1 − ACO2 AH2O) RT p Ai =exp −[( )ln( 0,i)]mi (6) Ei pi 218 Column model equations are summarised in Tables 1 and 2. The intraparticle 219 mass transfer resistance is described by a linear driving force, as discussed by Boon 220 et al. (2014) and constitutive equations have been taken from literature (Bird et al., 221 1960; Ruthven, 1984; Westerterp et al., 1987; Yang, 1987; Poling et al., 2001). 222 Model parameters specific for the SEWGS process are summarised in Table 3. The 223 geometry of the SEWGS columns was not varied; the column dimensions used 224 by Gazzani et al. (2013) were taken as representative of industrial size SEWGS 225 columns. Model validation and numerical solution strategy were discussed before 226 (Boon et al., 2014). 8PDF Image | High-temperature pressure swing adsorption cycle design for sorption
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