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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(fow) ˙ Out(fow) + ˙ In(transFer) ˙ Out(transFer) + ˙ Gen ˙ Dis (1.2) Balance Equation for Open Systems Operating in Steady State 0= ˙ In(fow) ˙ Out(fow) + ˙ In(transFer) ˙ Out(transFer) + ˙ Gen ˙ Dis (1.9) CSTR - Component Mass Balance ˙ VC A 1 ˙ A 2 ° V × kC N A 2 ± Energy Balance - Steady State Open Systems ±lowwork : ˙ W f m ² P ρ ³ (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 = 2 fv 2 L gD (4.35) h = K L × ² v 2 2 g ³ (4.36) 6

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Table 1: Loss coe cients for common pipe Fttings Fitting K L Parameter Comment Standard 90 elbow 0.75 Gate valve fully open 0.25
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