CBE 162 Homework 2

Hint there are several ways to solve this problem in

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Hint: there are several ways to solve this problem in MATLAB. If you need a place to start, look up MATLAB documentation on anonymous functions , and how to use them to solve a system of equations using the ode45 function. c) How long does it take to achieve steady state? If you use it wisely, the output of ode45 can give you an accurate depiction of this value. To solve it explicitly, you may find it useful to solve your differential equations explicitly. For more information, look up symbolic expressions and the functions dsolve and solve . d) Now assume the reactor is operating at the steady state values derived in part a. Consider a step disturbance that increases both inlet and outlet flow rates to: (i) F = F i = 7 cubic feet per minute (ii) F = F i =12 cubic feed per minute

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For both cases, plot how C A (t) and C P (t) change with time to achieve new steady state values. Remember, your initial conditions will not be the same as in part b, as now you’re starting from the previous steady state and not from reactor startup. e) Now consider the case where your inlet and outlet flows are not equal. Let’s say F i =12 ft 3 /min and F=8 ft 3 /min. We know intuitively that fluid will accumulate in the tank, so now our third unsteady state balance (for the volume of the liquid in the tank) has to be solved simultaneously with the two component balances. Solve this using your MATLAB code, and plot C

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