Please answer the above question correctly providing necessary Formulas, equations, diagrams, charts, graphs and plots. 17. Consider the bioreactor model used in Example 13.7 with
Please answer the above question correctly providing necessary Formulas, equations, diagrams, charts, graphs and plots.
17. Consider the bioreactor model used in Example 13.7 with substrate inhibition rather than Monod kinetics (see Module 8 for more detail) where: dtdx1dtdx2maxYk1=(D)x1=(sfx2)DYx1=km+x2+k1x22maxx2=0.53km=0.12=0.4sf=4.0=0.4545 and x1 is the biomass concentration and x2 is the substrate concentration. Assume that the steady-state dilution rate is Ds=0.3. a. Find the steady-state (equilibrium) solutions (Hint: There are three). b. Analyze the stability of each steady-state. Find the Jacobian, the eigenvalues, and the eigenvectors at c. Construct a phase plane plot. What do ver state? steady-stateStep by Step Solution
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Authors: T. W. Fraser Russell, Anne Skaja Robinson, Norman J. Wagner
1st Edition
0521886708, 9780521886703
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