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Control ENG HW_Part_43

# Control ENG HW_Part_43 - Q(s WC(T1(s T2(s = C V s T2(s T2 s...

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Q (s) + WC(T 1 (s) - T 2 (s)) = ρ C V s T 2 (s) + + = ) ( ) ( 1 1 ) ( 1 2 s T WC s Q s s T τ , where τ = ρ V / W. (b) τ = 50*5/250 = 1 min WC = 250*1 = 250 Ti(s) = -8/s and Q(s) = 1000/s Now by using above two equations we relate T 2 and Ti as below and after taking laplace transform we will get T 2 (t) ( ) ( ) ( ) 4 ) 8 4 ( ) ( 1 1 1 1 1 8 ) 1 ( 1 1 4 ) ( 1 8 ) 1 ( 4 ) ( ) ( 1 1 250 ) ( 1 1 ) ( 2 2 2 2 2 2 2 - + = + - + - - + - = + - + = + + + = - t i e t t T s s s s s s T s s s T s T s s Q s s T τ τ (c) T 2 ’(2) = -1.29 T 2 (2) = T 2 ’(2) + T 2s = 60 – 1.29 = 58.71 o F T 2 ’(∞) = -4 T 2 (∞) = T 2 ’(∞) + T 2s = 60 – 4 = 56 o F

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Q – 9.2. The two tank heating process shown in fig. consist of two identical , well stirred
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Control ENG HW_Part_43 - Q(s WC(T1(s T2(s = C V s T2(s T2 s...

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