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Appendix A Derivation of The Energy Balance Equation The overall energy energy balance assuming adiabatic bed conditions can be ex- pressed as, Eaccumulation = Einput − Eoutput + Egeneration (A.1) Here, the accumulation term represents the difference in the system energy levels between the time t and t + ∆t, and can be mathematically represented as, E = E − E (A.2) accmulation system t+∆t system t The system energy value, under the assumption of negligible kinetic and po- tential energy effects can further be decomposed between the contributions from the gas phase, adsorbed phase, adsorbent phase and the bed walls as shown below, E=E+E +E+E(A.3) system t gasphase t adsorbedphase t adsorbent t wall t 200PDF Image | Operation and Control of Pressure Swing Adsorption Systems
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