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14b_InteractingTanksBlockDiagramsW12

14b_InteractingTanksBlockDiagramsW12 - Page 1 of 5...

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Page - 1 - of 5 1 1 2 2 1 2 10 from a mass balance on Tank 1 4 2 from a mass balance on Tank 2 i dh q h h dt dh h h dt = + = ( ) 1 2 1 1 2 2 2 2 = flow from tank 1 to tank 2 = flow through valve h h q R h q R R = = Interacting Tanks – Block Diagrams CHE 361 Chapter 6, page 103 = Classical interacting states example = two tanks where flow between tanks depends on both heights. A non-classical example is the CHE 361 Bioreactor project, which also has two states. Review = Cha. 4 pgs 6 1-65 starting with Transfer Functions of Complicated Models. Fig. 4.1 = “additive”, Fig. 4.2 = “multiplicative” relationships for transfer functions Figs 4.3/4.4 for two liquid surge tanks in series. Here we look at a quantitative example of the interacting tank problem. Let the area of tank 1 ( A 1 ) be 10 m 2 and the area for tank 2 ( A 2 ) be 4 m 2 and assume constant density for the liquid. Also let
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