Double Limitation Exercise in Java

Consider a bioreactor operated continuously with one setting for the aeration. There is plenty of oxygen when sugar concentration is low because the demand for oxygen is also low. As the sugar concentration in the feed reservoir increases, so does the demand for oxygen by the microorganisms. Lessened ability to meet the demand causes the concentration of oxygen to drop to concentrations where it becomes limiting. This exercise plots the steady state values of X (cell concentration), concentration of dissolved oxygen (D.O.), and S (concentration of sugar) versus dilution rate as you select the coefficients.

Note:

  1. At low feed concentrations of sugar, the D.O. is ample and the graphs of S and X are routine.
  2. At high feed concentrations, the D.O. is limiting. Sugar is in excess of what can be metabolized so its concentration rises.
  3. The effects of Ks are quite complicated and are left for a student to explain in a future term project.