Tutorial 2

Tutorial 2Modelling of Dynamic Systems2.1 Mixer: Dynamic model of a CSTR is derived in textbook Example 3.1. From themodel, we know that the outlet concentration of A, C , can be affected by manipulatingAthe feed concentration, C , because there is a causal relationship between theseA0variables.a. The feed concentration, C , results from mixing a stream of pure A with solvent,A0as shown in the diagram. The desired value of C can be achieved by adding aA0right amount of A in the solvent stream. Determine the model that relates theflow rate of reactant A, F , and the feed concentration, C , at constant solventA A0fle.b. Relate the gain and time constant(s) to parameters in the process.c. Describe a control valve that could be used to affect the flow of component A.Describe the a) valve body and b) method for changing its percent opening(actuator).Fs FoC CAOA,solventSolventF1CAReactantFACA,reactantFigure 2.12.2 Stirred tank mixera. Determine the dynamic response of the tank temperature, T, to a step change inthe inlet temperature, T for the continuous stirred tank shown in the Figure 2.20, below.b. Sketch the dynamic behavior of T(t).c. Relate the gain and time constants to the process parameters.d. Select a temperature sensor that gives an accuracy better than ± 1 K at atemperature of 200 K.Based on a close analysis of the physical equipment, FTOwe find that the following assumptions are valid.1. there is no heat accumulated in the tank ...