modelSteamMethaneReformer_L4
Extends from Base.PartialFixedbedReactorIdealGas_L4 (Discretized model of a fixed-bed reactor using ideal gas models).
Information
1. Purpose of model
This model represents a discretized fixed bed steam methane reformer with reaction kinetics with constant effectiveness factors.
2. Level of detail, physical effects considered, and physical insight
The reactor is discretized and in each volume mass, impulse and energy balances as well as heat transfer between furnace gas and synthesis gas in the tubes and reaction rate equations are solved. These equations are taken from Nandasana et al. [1] except that the pressure loss is assumed to be constant and the effective
reaction rates are
calculated using constant effectiveness factors. Also the mass balances are stationary so changes in density are neglected.
3. Limits of validity
The model is valid if the changes of the effectiveness factors and the pressure loss are negligible.
4. Interfaces
gasPortIn: ideal gas inlet
gasPortOut: ideal gas outlet
heat: heat port
5. Nomenclature
(no elements)
6. Governing Equations
The used equations are described in [1] except for the changes described in 2. The pressure calculation for each volume can be done either using the pressure in the middle or at the end of the volume.
7. Remarks for Usage
(no remarks)
8. Validation
The results of the model were compared to results from Rajesh et al. [2] and the outlet variables fit the results satisfyingly.
9. References
[1] Nandasana, Anjana D.; Ray, Ajay K.; Gupta, Santosh K. (2003): Dynamic Model of an Industrial Steam Reformer and Its Use for Multiobjective Optimization. In: Ind. Eng. Chem. Res. 42 (17), S. 4028–4042. DOI: 10.1021/ie0209576.
[2] Rajesh, J. K.; Gupta, Santosh K.; Rangaiah, G. P.; Ray, Ajay K. (2000): Multiobjective Optimization of Steam Reformer Performance Using Genetic Algorithm. In: Ind. Eng. Chem. Res. 39 (3), S. 706–717. DOI: 10.1021/ie9905409.
10. Version History
Model created by Carsten Bode (c.bode@tuhh.de) on Tue Apr 05 2016
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Integer | N_comp (from PartialFixedbedReactorIdealGas_L4) | medium.nc | number of components |
| SI.CrossSection | A_c (from PartialFixedbedReactorIdealGas_L4) | N_tube*pi/4*dia_tube_i^2 | total crosssectional area of all reactor tubes |
| SI.Length | Delta_x (from PartialFixedbedReactorIdealGas_L4) | l/N_cv | Length of one control volume |
| TransiEnt.Basics.Media.Gases.Gas_VDIWA_SG6_var | gas_sg6 | Medium used in the steam methane reformer | |
| SI.Area | A_tube_o | N_tube*pi*dia_tube_o*l | Outer surface of all tubes |
| Real[4] | AK_j | {6.65e-4, 8.23e-5, 6.12e-9, 1.77e5} | Pre-exponential factors for adsorption energies {CH4, CO, H2, H2O} |
| SI.MolarEnthalpy[4] | dH_j | {-38280, -70650, -82900, 88680} | Adsorption enthalpies for components j {CH4, CO, H2, H2O} |
| Real[N_reac] | Ak_i | 1/3.6*{4.225e15, 1.955e6, 1.02e15} | Pre-exponential factors for activation energies |
| Real[N_reac] | AK_i | {4.707e12, 1.142e-2, 5.375e10} | Pre-exponential factors for enthalpy changes of reactions |
| Fundamental Definitions | |||
| TILMedia.GasTypes.BaseGas | medium (from PartialFixedbedReactorIdealGas_L4) | simCenter.gasModel2 | Medium model |
| Boolean | useHomotopy (from PartialFixedbedReactorIdealGas_L4) | simCenter.useHomotopy | true if homotopy should be used |
| Integer | N_cv (from PartialFixedbedReactorIdealGas_L4) | 1 | Number of control volumes |
| Integer | N_reac (from PartialFixedbedReactorIdealGas_L4) | Number of reactions | |
| Integer[N_reac,N_comp - 1] | nu (from PartialFixedbedReactorIdealGas_L4) | Matrix with stochiometric coefficients of all components-1 in all reactions | |
| SI.MolarEnergy[N_reac] | E_i (from PartialFixedbedReactorIdealGas_L4) | Activation energies | |
| SI.MolarEnthalpy[N_reac] | dH_R_i (from PartialFixedbedReactorIdealGas_L4) | Reaction enthalpies | |
| SI.Efficiency[N_cv,N_reac] | eff (from PartialFixedbedReactorIdealGas_L4) | Effectiveness factors for the reactions | |
| SI.PressureDifference | Delta_p (from PartialFixedbedReactorIdealGas_L4) | Total pressure loss over the reactor | |
| Integer | pressureCalculation (from PartialFixedbedReactorIdealGas_L4) | 1 | Method of pressure calculation |
| Geometry | |||
| Real | N_tube (from PartialFixedbedReactorIdealGas_L4) | Number of tubes | |
| SI.Diameter | dia_tube_i (from PartialFixedbedReactorIdealGas_L4) | Inner tube diameter | |
| SI.Length | l (from PartialFixedbedReactorIdealGas_L4) | Length of reactor | |
| SI.Diameter | dia_tube_o | 0.1020 | Outer tube diameter |
| Catalyst | |||
| SI.Diameter | dia_part (from PartialFixedbedReactorIdealGas_L4) | Equivalent pellet diameter | |
| SI.VolumeFraction | eps_bed (from PartialFixedbedReactorIdealGas_L4) | Bed porosity | |
| SI.VolumeFraction | eps_cat (from PartialFixedbedReactorIdealGas_L4) | Catalyst porosity | |
| SI.Density | d_cat (from PartialFixedbedReactorIdealGas_L4) | Density of catalyst particle | |
| SI.Density | d_bed (from PartialFixedbedReactorIdealGas_L4) | d_cat*(1 - eps_bed) | Density of fixed-bed |
| SI.SpecificHeatCapacity | cp_cat (from PartialFixedbedReactorIdealGas_L4) | Specific heat capacity of catalyst | |
| Nominal Values | |||
| SI.Temperature[N_cv] | T_nom (from PartialFixedbedReactorIdealGas_L4) | Nominal gas and catalyst temperature in the control volumes | |
| SI.Pressure[N_cv] | p_nom (from PartialFixedbedReactorIdealGas_L4) | Nominal pressure in the control volumes | |
| SI.MassFraction[N_cv,N_comp - 1] | xi_nom (from PartialFixedbedReactorIdealGas_L4) | Nominal values for mass fractions | |
| Heat Transfer | |||
| SI.Area | A_refractor | 1164*N_tube/176 | Surface area of refractor |
| SI.Area | A_flame | 0.01 | Surface area of a flame of one burner |
| SI.Emissivity | em_gas | 0.1 | Emissivity of furnace gas |
| SI.Emissivity | em_flame | 0.1 | Emissivity of flames |
| SI.Emissivity | em_tube | 0.95 | Emissivity of reformer tubes |
| SI.Temperature | T_adi | 2200 | Adiabatic flame temperature |
| Real | N_burner | 112*N_tube/176 | Number of burners |
Connectors
Components
| Type | Name | Default | Description |
|---|---|---|---|
| TransiEnt.SimCenter | simCenter (from PartialFixedbedReactorIdealGas_L4) | ||
| SI.Temperature[N_cv] | T (from PartialFixedbedReactorIdealGas_L4) | Gas and catalyst temperature in the control volumes | |
| SI.Pressure[N_cv] | p (from PartialFixedbedReactorIdealGas_L4) | Pressure in the control volumes | |
| SI.MassFraction[N_cv,N_comp - 1] | xi (from PartialFixedbedReactorIdealGas_L4) | Mass fraction in the control volumes | |
| Summary | summary |
Contents
| Name | Description |
|---|---|