Question: The dynamic behavior of a packed-bed reactor can be approximated by a transfer function model where T 1 is the inlet temperature, T is the

The dynamic behavior of a packed-bed reactor can be approximated by a transfer function model

where T₁ is the inlet temperature, T is the outlet temperature (?C), and the time constants are in hours. The inlet temperature varies in a cyclic fashion due to the changes in ambient temperature from day to night. As an approximation, assume that T?₁ varies sinusoidally with a period of 24 hours and amplitude of 12^oC. What is the maximum variation in the outlet temperature, T?

3(2-s) T'(s) T(s) (10s + 1)(Ss + 1)

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