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CHAPTER 2 MATHEMATICAL MODEL Simulations of the PSA cycles were carried out using an in house dynamic adsorption process simulator (DAPS) developed in FORTRAN that uses the finite difference method and the time adaptive DAE solver called DASPK. The following assumptions are imposed: the ideal gas law, plug flow, no heat transfer limitations between gas and solid (i.e., pellet) phases, no thermal capacitive role of the wall, no axial mass and thermal dispersion, the gas phase concentration in both bulk and pellet porosity is identical, and the mass transfer between solid and gas is defined by 1 parameter macropore limited non-isothermal model. Temperature of the wall set at a constant value equal to the temperature of the bed and heat loss to the exterior defined by heat transfer at the inner side of the wall. For an N-component PSA process, the overall (O.M.B.) and component mass balances (C.M.B.) over a differential volume element respectively yields: 1 ∂P 1 ∂T ∂vC b b P TP∂t T∂t b ∂z j=1 n (ε +(1−ε )ε )C − +ε T + S =0 (1) ∑ (ε + (1 − ε )ε )C i + ε C v i − y ∑ S + S = 0 i = 1 to N-1 (2a) ∂y ∂y n b bPT∂tbT∂ziji j=1 i=N (2b) n yi+ y=0 ∑ j=1,j≠i j with C = P ; S =(1−ε )ρ ∂qi TRTi bP∂t 7 jPDF Image | Development of a Pressure Swing Adsorption (PSA) Cycle for CO2 Capture
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