Control ENG HW_Part_44

Control ENG HW_Part_44 - W1 T1 Ta Tb W2 W1 W3=W1+W2 T2...

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Solution: (a) For tank1 s s Ta s T 1 1 1 1 ) ( ) ( τ + = , where τ 1 = ρ V / W1. For tank2 W1C(T 1 – T o ) +W2C(Tb – T o ) – (W1+W2)C(T 2 – T o )= ρ C V dt dT 2 ------ (1) At steady state W1C(T 1s – T o ) +W2C(Tbs – T o ) – (W1+W2)C(T 2s – T o )= 0 -----------------(2) (1) – (2) W1T 1 + W2Tb - W3T 2 = ρ V dt dT 2 ' Taking L.T W1T 1 (s) + W2Tb(s)- W3T 2 (s) = ρVs T 2 (s) W1 Ta T 1 T 2 W3=W1+W2 Tb
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Control ENG HW_Part_44 - W1 T1 Ta Tb W2 W1 W3=W1+W2 T2...

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