Version 1.0, August 31, 2001, Copyright, Hugh Jack 1993-2001

5.1.2 First Order System Example

 

· The water tank below has a small outlet, and left alone the fluid level in the tank will drop until empty. There is a valve controlled flow of fluids into the tank to raise the height of the fluid.

 

 

· As long as the fluid levels in the tank are normal, the inlet and outlet flow rates are independent, We can model them both with simple differential equations,

 

 

· This difference equation can then be used to predict fluid height. If we change the valve position, this will also be reflected in the calculated values.

 

 

egr450.0.mcd

 

· Now try varying the input valve angle,