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∂ρi ∂2ρi ∂(uρi ) ∂q =D−ρ− (1) ∂t bulk,i ∂z2 ∂z bulk ∂t The heat energy balance system in the adsorber is expressed as follows: { }∂T εbulk ρgasCp-gas +(1−εbulk )ρAdsCp-Ads ∂t (2) The momentum of gas balance in the adsorber is expressed as follows: ∂2T ∂(uzT) ∂q =k ρ−C ⋅ ρ−H∆ eff ∂z2 gas p-gas ∂z bulk ∂t ρ ∂u=μ ⋅∂2u−u ∂(uρgas)−u∂ρgas −∂P (3) gas∂tgas∂z2i∂z ∂t∂z The material balance system in the adsorbent particle is expressed as follows: ∂q = D ∂2q 2 ∂q + (4) ∂t pore,i ∂r2 r ∂r T. Esaki et al. system was scatterized and analyzed using a program developed in the C pro- gramming language. The income and expenditure process and the subjunctive condition of the analysis model are discussed below. The material balance system in the adsorber is expressed as follows: Initial conditions in calculation. The gas density and concentration in the adsorber are expressed as follows: P(z )= P , y (z )= y k initial i k initial ρi (zk )= P(zk )⋅yi (zk ) Mi ⋅T(zk )⋅Rg The gas velocity and temperature in the adsorber are expressed as follows: q(P )=q (P ) (7) (5) (6) The amount of CO2 in the adsorbent particle is expressed as follows: u(zk )=uinitial, T(zk )=Tinitial CO initial 22 Boundary conditions. 1) Inlet of adsorber. The gas density and concentration in the adsorber are expressed as follows: P(z)=P , y(z)=y 0 ads i 0 i,ads ρi (z0)= P(z0)⋅yi (z0) (8) Mi ⋅T(z0)⋅Rg 2) Outlet of adsorber. a) Adsorption and Rinse step. The gas density and concentration in the adsorber are expressed as follows: ∂P(zk+1) ∂yi (zk+1) ∂z =0, ∂z =0 (9) CO DOI: 10.4236/msce.2021.93004 43 Journal of Materials Science and Chemical EngineeringPDF Image | Analysis of CO2 Pressure Swing Adsorption
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