Developing the Dynamic Model

In this section we write the dynamic modeling equations to find the tank and jacket temperatures. This methodology was developed in Chapter 2. We make the following assumptions

• Constant volume and liquids with constant density and heat capacity.
• Perfect mixing in both the tank and jacket.
• The tank inlet flowrate, jacket flowrate, tank inlet temperature and jacket inlet temperature may change (these are the inputs).
• The rate of heat transfer from the jacket to the tank is governed by the equation
  , where U is the overall heat transfer coefficient and A is the area for heat transfer

The notation that we use is presented in Table 1.

Table 1. Notation

• Material Balance Around Tank
• Energy Balance Around Tank
• Material Balance Around the Jacket
• Energy Balance Around the Jacket