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Knaebel and Hill (1985) extend the work of Shendalman and Mitchell and Chan et al. to the case of two adsorbable components with an arbitrary feed composition, using analytical equations. The assumptions used in Knaebel and Hill's derivation, as well as in that of Flores Fernandez and Kenny, 1983 (from Kayser and Knaebel, 1986) are: 1. Binary, ideal gas mixture. 2. Local equilibrium between the gas and solid phases. 3. Linear, uncoupled adsorption equilibrium isotherms. 4. Negligible axial dispersion. 5. Negligible axial pressure gradients. 6. Constant pressure during feed and purge steps. 7. Isothermal operation. 8. No radial dependence in velocity or composition. 9. Identical columns: identical lengths, cross-sectional areas and interstitial void fractions. 10. Complete purification of the light component using the least possible amount of adsorbent. Knaebel and Hill used the method of characteristics to solve the continuity equations for the Skarstrom cycle which utilizes "pressurization with feed," and the Four-Step cycle, which utilizes "pressurization with product." The authors found that in order for complete purification to occur, a minimum pressure ratio must be exceeded, 35PDF Image | Energy Efficiency of Gas Separation Pressure Swing Adsorption
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