Journal of Analytical Methods in Chemistry / 2009 / Article / Tab 2

Research Article

A Two-Time Scale Decentralized Model Predictive Controller Based on Input and Output Model

Table 2

Parameter values.

VariableDefinitionValue

𝐢 𝐴 0 Feed concentration of species A5.1 mol/L
𝑇 0 Feed temperature104.9 C
π‘˜ 1 0 Collision factor for reaction 1: π‘˜ 1 ( 𝑇 ) = π‘˜ 1 0 𝑒 βˆ’ 𝐸 1 / 𝑇 1 . 2 8 7 Γ— 1 0 1 2 h βˆ’ 1
π‘˜ 2 0 Collision factor for reaction 2: π‘˜ 2 ( 𝑇 ) = π‘˜ 2 0 𝑒 βˆ’ 𝐸 2 / 𝑇 1 . 2 8 7 Γ— 1 0 1 2 h βˆ’ 1
π‘˜ 3 0 Collision factor for reaction 3: π‘˜ 3 ( 𝑇 ) = π‘˜ 3 0 𝑒 βˆ’ 𝐸 3 / 𝑇 9 . 0 4 3 Γ— 1 0 9 ( m o l A ) βˆ’ 1 h βˆ’ 1
𝐸 1 Normalized activation energy for reaction 1 βˆ’ 9758.3 K
𝐸 2 Normalized activation energy for reaction 1 βˆ’ 9758.3 K
𝐸 3 Normalized activation energy for reaction 1 βˆ’ 8560 K
Ξ” 𝐻 𝑅 𝐴 𝐡 Enthalpies of reaction 14.2 kj/mol A
Ξ” 𝐻 𝑅 𝐴 𝐡 Enthalpies of reaction 2 βˆ’ 11 kj/mol B
Ξ” 𝐻 𝑅 𝐴 𝐡 Enthalpies of reaction 3 βˆ’ 41.85 kj/mol A
π‘˜ 𝑀 Heat transfer coefficient for cooling jacket4.032 kj/(h m 2 K)
𝐴 𝑅 Surface of cooling jacket0.215  m 2
𝑉 𝑅 Reactor volume0.01  m 3
π‘š 𝐾 Coolant mass5.0 kg
𝐢 𝑝 𝐾 Heat capacity of coolant2.00 kj/(kg β‹… K)
𝐢 𝑝 Heat capacity3.01 kj/(kg β‹… K)
𝜌 Density0.9342 kg/L

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