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Unformatted text preview: School of Chemical Engineering CEIC3000 Process Modelling and Analysis Brief Solution to Tutorial 1 1. Using the cylinder surge tank example discussed in class to explain what is a mathe- matical dynamic model and the concepts of input, output and state variables. What are the steps involved in developing a process model? Solution: A surge tank can be modelled in different ways with different state, input and output variables. For example, if we are interested in knowing how would the outlet volumetric ow rate F o ( t ) is affected by the inlet volumetric ow rate F i ( t ), we have: A dh ( t ) dt = F i ( t )- k h ( t ) (1) F o ( t ) = k h ( t ) (2) where k is the valve coecient. In this case, h ( t ) is the state variable, F i ( t ) is the input variable and F o ( t ) is the output variable. If the we want to know how would the liquid level be affected by the inlet ow rate, then we have the output variable h ( t ), which is also the state variable....
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