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A. Derivation of The Energy Balance Equation [Ncomp ] CiCvi ∑ Egasphase t = (εb + (1 − εb)εp) [Ncomp TAbed∆z (A.4) (A.5) (A.6) (A.7) ∑ ] Eadsorbedphase t = E =(1−ε)ρCTA ∆z QiCpi i=1 E =DρCT∆z wallt R1 w pw adsorbent t b s ps bed The input and output term represents the amount of thermal energy enter- ing and leaving the system in the axial direction for the lumped system under consideration, and can be represented as, [Ncomp ] ∑ Einput = CiCpi UTAbed∆t z i=1 [Ncomp ] ∑ (A.8) Eoutput = The amount of heat generated due to adsorption and desorption phenomena CiCpi UTAbed∆t z+∆z is expressed by the generation term shown below (A.9) Egeneration = (1 − εb)ρs ∂Qi (−∆Hi) ∂t Abed∆z∆t (A.10) i=1 [Ncomp ∑ ] i=1 Putting equations A.4 to A.10 together along with t + ∆t counterparts of equations A.4, A.5, A.6, A.7 in Eq. A.1 and dividing the whole equation by Abed∆z∆t we get 201 i=1 Tρs(1−εb)Abed∆zPDF Image | Operation and Control of Pressure Swing Adsorption Systems
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