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7.4 PSA Case Study - Post Combustion CO2 Capture Table 7.1: Model equations for isothermal PSA Component mass balance ε∂yi+∂(vyi)+RT(1−ε)ρ∂qi=0 i=1 b∂t ∂x P bs∂t Overall mass balance ∂vRT 2∂qi ∂x+ P (1−εb)ρs ∂t =0 i=1 LDF equation ∂qi =ki(qi∗−qi) i=1,2 ∂t Dual-site Langmuir Isotherm ∗ q 1s i b 1 i y i P q 2s i b 2 i y i P qi=+i=1,2 1 + b1jyjP 1 + b2jyjP jj (7.17) (7.18) (7.19) (7.20) (7.21) Cyclic steady state z(t0) = z(tcycle) z : yi, qi ∀i mathematical model for this process 1. All of the gases follow the ideal gas law. 2. There are no radial variations for concentrations in the solid and the gas phase. 3. The process is isothermal with a fixed temperature for the entire cycle. 4. Pressure drop along the bed is negligible. 5. The adsorption behaviors are described by the dual-site Langmuir isotherm. 6. The adsorption rate is approximated by the linear driving force (LDF) expression. Based on the above assumptions, the mathematical model for the PSA process is listed in Table 7.1. Here we assume no axial dispersion and use a lumped mass transfer coefficient for the LDF model. The adsorbent properties for 13X and other model parameters are listed in Table 7.2 [111]. Since we also have an overall mass balance in the model to solve for velocity Chapter 7. Trust-region Framework for ROM-based Optimization 147PDF Image | Design and Operation of Pressure Swing Adsorption Processes
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