The dynamic response of a stirred-tank bioreactor can be represented by the transfer function where C is

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The dynamic response of a stirred-tank bioreactor can be represented by the transfer function

image

where C is the exit substrate concentration, mol/L and Cf is the feed substrate concentration, mol/L.

(a) Derive an expression for c?(t) if cP(t) is a rectangular pulse (figure) with the following characteristics:

image

(b) What is the maximum value of c?(t)? When does it occur1 What is the final value of c?(t?

(c) If the initial value is c(0) = 1, how long does it take for c(t) to return to a value of 1.05, after it has reached its maximum value?

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Process Dynamics And Control

ISBN: 978-0471000778

2nd Edition

Authors: Dale E. Seborg, Thomas F. Edgar, Duncan A. Mellich

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