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Process Control: Modeling, Design, and Simulation by B. Wayne Bequette

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Additional Exercises

1:Data for a specific growth rate coefficient as a function of substrate concentration for a biochemical reactor are shown below
x2, g/liter00.10.250.50.7511.535
μ, hr-100.380.540.630.660.680.700.730.74
  1. Estimate the parameter values for a Monod-specific growth rate model.

  2. The production rate of cells is Dx1. Find the steady-state value of the dilution rate that maximizes the production rate of cells. The substrate feed concentration is 5 g/liter.

  3. Find the steady-state concentration of biomass and substrate at this dilution rate.

  4. Find the linear state space model at this dilution rate, with dilution rate and substrate feed concentration as the input variables. Also, find the transfer function relating dilution rate to biomass ...

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