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TEMPERATURE SWING ADSORPTION COMPRESSION AND MEMBRANE SEPARATIONS

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TEMPERATURE SWING ADSORPTION COMPRESSION AND MEMBRANE SEPARATIONS ( temperature-swing-adsorption-compression-and-membrane-separa )

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Applying the above assumptions, the overall material balance is then written ρ ∂ n + ε ′ ∂ c + ε ∇ ( ⃗v c ) = 0 b ∂t ∂t where the fluid-phase velocity is described by Darcy’s law for packed beds ⃗v = −kd∇P (3.3) (3.4) (3.5) (3.6) (3.7) and the component material balance for CO2 is written ρ ∂ n + ε ′ ∂ c i + ε ∇ ( ⃗v c ) = − ε ∇ J b∂t∂ti i with the component molar flux described by Ji = −cDi∇yi A Danckwert’s boundary condition ∂ci=0 at z=L ∂z is applied to the bed outlet and depending on which half cycle is being modeled either a constant feed concentration or a no-flow boundary condition is used at the bed inlet. The energy balance for this system is written ρ ∂us +ε′∂cfuf +ε∇(⃗vc u )+ε∇q +εP·∇⃗v=0 (3.8) b∂t ∂t ff f where the energy flux, internal energies of both the fluid and solid-phase, and the enthalpy of the fluid-phase are represented by qf = −k∇T uf ≡hf −PVf us =(Cps +Cpxn)(T −Tref)−λn hf = Cpy (T − Tref ) 30 (3.9) (3.10) (3.11) (3.12)

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