Use the local equilibrium model to estimate reasonable flow rates for separation of dextran and fructose using an SMB. Isotherms are linear, and both \(\mathrm{q}\) and \(\mathrm{c}\) are in \(\mathrm{g} / \mathrm{L}\). Linear equilibrium constants are dextran, 0.23 , and fructose, 0.69 . Interparticle void fraction \(=\) 0.40 and intraparticle void fraction \(=0.0\). Columns are \(40.0 \mathrm{~cm}\) in diameter and \(60.0 \mathrm{~cm}\) long. Feed flow rate is \(1.0 \mathrm{~L} / \mathrm{min}\), and feed has \(50.0 \mathrm{~g} / \mathrm{L}\) of each component. Desorbent is water. Operation is isothermal. Determine set of flow rates of desorbent, dextran product, fructose product, and recycle rate that satisfy Eqs. (20-30b) to (20-30e) and find ratio D/F. Suggestion: Adapt the approach used in Example 20-5 to a problem with column diameter and length specified.

Example 20-5

port Su UB2 port (20-30b) (20-30c) (20-30d) port UB,4 u port (20-30e)