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Question 3: Consider a direct contact heater system with a stirring motor (ideal). The inbound and outbound mass flows (kg/s) are w1, w2 and w; The temperature of the inlet and outlet lines is T1, T2 and T. The system has a self- overflowing mechanism, so the volume of liquid in the tank is considered fixed. The requirements of the control problem are described in the figure. Assuming the properties of the liquid do not change. 2.1. Analysis of control purposes. 2.2. Identify process variables. 2.3. Write equation(s) for the kinematic model of the system. 2.4. Find the transfer function describing the relationship between the changes of temperature of the outlet line T around steady state with the change of inlet flow w2 steady value.

          Question 3:
Consider a direct contact heater system with
a stirring motor (ideal). The inbound and
outbound mass flows (kg/s) are w1, w2 and
w; The temperature of the inlet and outlet
lines is T1, T2 and T. The system has a self-
overflowing mechanism, so the volume of
liquid in the tank is considered fixed.
The requirements of the control problem are
described in the figure. Assuming the
properties of the liquid do not change.
2.1. Analysis of control purposes.
2.2. Identify process variables.
2.3. Write equation(s) for the kinematic model of the system.
2.4. Find the transfer function describing the relationship between the changes of
temperature of the outlet line T around steady state with the change of inlet flow w2
steady value.

Question 3:
Consider a direct contact heater system with
a stirring motor (ideal). The inbound and
outbound mass flows (kg/s) are w1, w2 and
w; The temperature of the inlet and outlet
lines is T1, T2 and T. The system has a self-
overflowing mechanism, so the volume of
liquid in the tank is considered fixed.
The requirements of the control problem are
described in the figure. Assuming the
properties of the liquid do not change.
2.1. Analysis of control purposes.
2.2. Identify process variables.
2.3. Write equation(s) for the kinematic model of the system.
2.4. Find the transfer function describing the relationship between the changes of
temperature of the outlet line T around steady state with the change of inlet flow w2
steady value.

Added by Todd R.

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