using "types"; #* * Batch Reactor model based on gPROMS sample *# Model BatchReactor PARAMETERS Density(4) as dens_mol(Brief="Component Densities"); Ac(4) as Real(Brief="Specific enthalpy coeficient A", Unit='J/mol/K'); Bc(4) as Real(Brief="Specific enthalpy coeficient B", Unit='J/mol/K/K'); k0 as Real(Brief="Arrenius constant", Unit='m^3/s/mol'); Ea as Real(Brief="Activation energy", Unit='J/mol'); Hr as Real(Brief="Reaction enthalpy", Unit='J/mol'); Nu(4) as Real(Brief="Stoichiometric coefficients"); R as Real(Brief="Ideal gas constant", Default=8.314, Unit='J/K/mol'); Tref as temperature(Brief="Reference temperature", Default=298); VARIABLES Holdup(4) as mol; C(4) as conc_mol; TotalVolume as volume; ReactionRate as Real(Unit='mol/m^3/s'); ReactionConstant as Real(Unit='m^3/s/mol'); TotalH as energy; H(4) as energy_mol; T as temperature; Q as power; EQUATIONS "Mass balance" diff(Holdup) = Nu*ReactionRate*TotalVolume; "Energy balance" diff(TotalH) = ReactionRate*TotalVolume*(-Hr) + Q; "Reaction rate" ReactionRate = ReactionConstant*C(1)*C(2); "Reaction constant" ReactionConstant = k0 * exp(-Ea/(R*T)); "Concentrations" Holdup = C * TotalVolume ; TotalVolume = sum(Holdup/Density) ; "Reactor energy content" TotalH = sum(Holdup*H) ; H = Ac * ( T - Tref ) + Bc * ( T^2 - Tref^2 ) / 2 ; end FlowSheet BatchProcess as BatchReactor SET Density = [ 10.0E3, 8.0E3, 11.0E3, 11.0E3 ] * 'mol/m^3' ; Ac = [ 150.0, 175.0, 200.0, 175.0 ] * 'J/mol/K'; Bc = [ 0.0, 0.0, 0.0, 0.0 ] * 'J/mol/K/K' ; Nu = [ -1, -1, +1, +1 ] ; k0 = 5E-4 * 'm^3/s/mol'; Ea = 15000.0 * 'J/mol'; Hr = 55000.0 * 'J/mol'; SPECIFY Q = 505e3 * 'W'; INITIAL Holdup = [100.0, 100.0, 1.0, 1.0 ] * 'mol'; T = 293.0 * 'K'; end CaseStudy CS_Batch as BatchProcess VARY Q = [505e3: 100: 506e3] * 'W'; RESPONSE T; end