Chemical Engineering Hand Written_Notes_Part_85

Chemical Engineering Hand Written_Notes_Part_85 - 172 5....

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172 5. OPTIMIZATION AND RELATED NUMERICAL SCHEMES (3) Friction factor as a function of Reynold’s number for turbulent f ow (3.4) 1 / p f = α log(Re p f ) β y = f ; x =Re ; θ h αβ i T (4) Equation(s) of state: e.g. Redlish Kwong equation (3.5) P = RT V b a T 1 / 2 ( V + b ) V y = P ; x = h TV i T ; θ h ab i T or Van der Waals equation (3.6) ( P + a V 2 )( V b )= RT y = P ; x = h i T ; θ h i T (5) Antonie equation for estimating vapor pressure of a pure component (3.7a) log( P v A B T + C Example 60 . Reaction rate models: (3.8) r A = μ dC A dt = k o exp( E/RT )( C A ) n y ≡− r A ; x [ C A T ] T ; θ h nEk o i T Example 61 . Step response of a second order process (dynamic modeling for process control ) (3.9) δT ( t K [1 + α 1 exp( t/τ 1 )+ α 2 exp( t/τ 2 )] F c y = ; x t ; θ = h 1 α 2 τ 1 τ 2 i Here represents deviation temperature obtained in response to step change in cooling water f ow rate of magnitude F c . This is a nonlinear in parameter model.
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3. MODEL PARAMETER ESTIMATION 173 3.2. Classi f cation of Models.
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Chemical Engineering Hand Written_Notes_Part_85 - 172 5....

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