Useful Equations

Useful Equations - Useful Equations Bracketed equation...

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Useful Equations Bracketed equation numbers refer to the printed lecture notes General Balance Equation ˙ Acc = ˙ In(flow) ˙ Out(flow) + ˙ In(transfer) ˙ Out(transfer) + ˙ Gen ˙ Dis (1.2) Balance Equation for Open Systems Operating in Steady State 0 = ˙ In(flow) ˙ Out(flow) + ˙ In(transfer) ˙ Out(transfer) + ˙ Gen ˙ Dis (1.9) CSTR - Component Mass Balance 0 = ˙ V C A 1 ˙ V C A 2 V × kC N A 2 Energy Balance - Steady State Open Systems Flowwork : ˙ W f = ˙ m P ρ (4.5) 1 2 ˙ m ( v 2 ) + ˙ mg z + ˙ m ˆ H = ˙ Q ˙ W s (4.8) Energy balance involving a chemical reaction: H = ˙ n ˆ H r + ˙ m 1 C p 1 (25 T 1 ) + ˙ m 2 C p 2 ( T 2 25) (4.15) Bernoulli Equation: p ρ g + ( v 2 ) 2 g + z = 0 (4.25) Mechanical energy balance equation h fr + h fi + p ρ g + ( v 2 ) 2 g + z = w s g (4.29) f = 0 . 079 Re 0 . 25 (for Re > 4000) (4.32) h fr = 2 fv 2 L gD (4.35) h fi = K L × v 2 2 g (4.36) 6
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Table 1: Loss coe cients for common pipe fittings Fitting K L Parameter Comment Standard 90 elbow 0.75 Gate valve fully open 0.25
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