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Decoupled Analysis: Overview
NOx concentrations generated in combustion systems are generally low. As a result, NOx chemistry has negligible influence on the predicted flow field, temperature, and major combustion product concentrations. It follows that the most efficient way to use the NOx model is as a postprocessor to the main combustion calculation.
The recommended procedure is as follows:
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The premixed combustion model is not compatible with the NOx model.
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If you plan to use the
ANSYS FLUENT SNCR model for NOx reduction, you will first need to include ammonia or urea (depending upon which reagent is employed) as a fluid species in the main combustion calculation and define appropriate ammonia injections, as described later in this section. See Section
15.1.3 for details about adding species to your model and Section
23.3 for details about creating injections.
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Models
NOx
Edit...
Boundary Conditions
Solution Controls
Equations...
Run Calculation
File
Write
Case & Data...
Inputs specific to the calculation of NOx formation are explained in the remainder of this section.
Enabling the NOx Models
To enable the NOx models and set related parameters, you will use the NOx Model dialog box (e.g., Figure 21.1.1).
Models
NOx
Edit...
In the
Formation tab, select the NOx models under
Pathways to be used in the calculation of the NO and HCN, NH
, or N
O concentrations:
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When using the non-premixed combustion model, the
Fuel NOx option is only available if the DPM model is also enabled.
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Your selection(s) under
Pathways will activate the calculation of thermal, prompt, fuel, and/or N
O-intermediate NOx in accordance with the chemical kinetic models described in
this section through
this section in the separate
Theory Guide. Mean NO formation rates will be computed directly from mean concentrations and temperature in the flow field.
Defining the Fuel Streams
ANSYS FLUENT allows you to define multiple fuel streams when you are modeling prompt or fuel NOx formation. If either Prompt NOx or Fuel NOx is enabled in the Pathways group box in the Formation tab, perform the following steps:
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Note that the
PDF Stream drop-down list defines the species for the fuel NOx calculations only.
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Note that the
Fuel Species selections define the species for the prompt NOx calculations only when modeling non-premixed combustion.
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Note that the following limitations apply when you are modeling fuel NOx formation with multiple fuel streams, if more than one fuel stream has the same fuel type (as defined in the Fuel Type group box in the Fuel tab):
For more information about the limitations associated with multiple fuel streams with the same fuel type, contact your ANSYS FLUENT support engineer.
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Note that if you read a case file with NOx settings that was set up in a version of
ANSYS FLUENT previous to 12, you may need to make a selection for the fuel species. This step is only necessary when all of the following conditions are met:
Your fuel species selection should be made either in the PDF Stream drop-down list for non-premixed combustion, or in the Fuel Species list for all other combustion models.
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Specifying a User-Defined Function for the NOx Rate
You can choose to specify a user-defined function for the rate of NOx production. By default, the rate returned from the UDF is added to the rate returned from the standard NOx production options, if any are selected. You also have the option of replacing any or all of ANSYS FLUENT's NOx rate calculations with your own user-defined NOx rate.
In addition to or instead of using the UDF to specify the NOx rate, you can use it to specify custom values for the maximum limit (
) that is used for the integration of the temperature PDF (when temperature is accounted for in the turbulence interaction modeling).
To use a UDF to add a rate to ANSYS FLUENT's NOx rate calculations, you must compile and load the desired function, and then select it from the NOx Rate drop-down list in the User-Defined Functions group box in the Formation tab. After you have selected the UDF, you have the following options:
See the separate UDF Manual for details about user-defined functions.
Setting Thermal NOx Parameters
The NOx routines employ three methods for calculation of thermal NOx (as described in this section in the separate Theory Guide). You will specify the method to be used in the Thermal tab, under Formation Model Parameters in the NOx Model dialog box:
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Note that the urea model uses the [OH] model.
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If you hooked a UDF in the Formation tab, you can make a selection in the UDF Rate group box to specify the treatment of the user-defined NOx rate:
Setting Prompt NOx Parameters
Prompt NOx formation is predicted using this equation and this equation in the separate Theory Guide. For each fuel stream specified in the Fuel Stream ID text box in the Formation tab, set the parameters in the Prompt tab under Formation Model Parameters in the NOx Model dialog box in the following manner:
For any carbon number, C
, the limits of the
Equivalence Ratio are such that, if it is greater than 1.57, then limit the
Equivalence Ratio to 1.57. If C
is less than or equal to 4, then an additional limit is applied. When the
Equivalence Ratio is between 0.365 and 0.685, the midpoint value is computed, which is 0.525. Thus for
Equivalence Ratio values below the midpoint value, set the value to the lower limit and for an
Equivalence Ratio above the midpoint value, set the value to the upper limit). These limits are purely mathematical and only guarantee positive prompt NOx rates.
If you hooked a UDF in the Formation tab, you can make a selection in the UDF Rate group box to specify the treatment of the user-defined NOx rate:
Setting Fuel NOx Parameters
When using the fuel NOx model, you must set the parameters in the Fuel tab under Formation Model Parameters for each fuel stream specified in the Fuel Stream ID text box in the Formation tab.
If you hooked a UDF in the Formation tab, you can make a selection in the UDF Rate group box to specify the treatment of the user-defined NOx rate:
If there is no NOx rate UDF or if you selected Add to FLUENT Rate, you must define fuel parameters. To begin, specify the fuel type in the following manner:
Note that you can use only one of the fuel types for a given fuel stream. The Gas option is available only when the Species Transport model is enabled (see Section 15.1.2).
Setting Gaseous and Liquid Fuel NOx Parameters
If you have selected Gas or Liquid as the Fuel Type, you will also need to specify the following:
Note that setting a partition fraction of 0 for both HCN and NH
is equivalent to assuming that all fuel N is converted to the final product NO, whereas a partition fraction of 0 for HCN and 1 for NH
is the same as selecting
nh3 as the intermediate.
ANSYS FLUENT will use
this equation and
this equation (in the separate
Theory Guide) (for HCN) or
this equation and
this equation (in the separate
Theory Guide) (for NH
) to predict NO formation for a gaseous or liquid fuel.
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Note that there is a limitation that must be considered when defining more than one liquid fuel stream. See Section
21.1.1 for details.
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Setting Solid (Coal) Fuel NOx Parameters
For solid (coal) fuel,
ANSYS FLUENT will use
this equation and
this equation (in the separate
Theory Guide) (for HCN) or
this equation and
this equation (in the separate
Theory Guide) (for NH
) to predict NO formation. Several inputs are required for the coal fuel NOx model as follows:
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Note that there are limitations that must be considered when defining more than one solid fuel stream. See Section
21.1.1 for details.
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The following equations are used to determine the mass fraction of nitrogen in the volatiles and char:
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(21.1-1) |
where | ||
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= rate of release of fuel nitrogen in kg/s | |
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= rate of release of volatiles (v) or char (c) in kg/s | |
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= mass fraction of nitrogen in volatiles or char |
Let | ||
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= total nitrogen mass fraction in daf coal (i.e., from daf ultimate analysis) | |
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= char nitrogen as a fraction of total nitrogen | |
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= mass fraction of volatiles in daf coal | |
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= mass fraction of char in daf coal |
Then the following should hold:
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(21.1-2) |
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(21.1-3) |
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(21.1-4) |
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(21.1-5) |
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(21.1-6) |
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Note that if water is assumed to release at the same rate as volatiles, the above calculation has to be slightly modified.
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Setting N
O Pathway Parameters
The formation of NO through an N
O intermediate can be predicted by two methods. You will specify the method to be used in the
N2O Path tab.
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The transport equation for the species N
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The atomic O concentration will be calculated according to the thermal NOx
[O] Model that you have specified previously. If you have not selected the
Thermal NOx pathway, then you will be given the option to specify an
[O] Model for the N
O pathway calculation. The same three options for the thermal NOx
[O] Model will be the available options.
If you hooked a UDF in the Formation tab, you can make a selection in the UDF Rate group box to specify the treatment of the user-defined NOx rate:
Setting Parameters for NOx Reburn
To enable NOx reduction by reburning, click the Reduction tab in the NOx Model dialog box and enable the Reburn option under Methods. In the expanded portion of the dialog box, as shown in Figure 21.1.3, click the Reburn tab under Reduction Method Parameters, where you can choose from the following options:
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When you use this method, you must be sure to include the species CH, CH
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Setting SNCR Parameters
Prior to enabling reduction by SNCR, make sure that you have included in the species list
nh3 (for reduction by ammonia injection) and
co
nh2
2 (for reduction by urea injection). See
this section in the separate
Theory Guide for detailed information about SNCR theory.
To enable NOx reduction by SNCR, click the Reduction tab in the NOx Model dialog box and enable the SNCR option under Methods, as shown in Figure 21.1.4.
Then click the SNCR tab under Reduction Method Parameters, where you can choose from the following options:
If you plan to select this option for NOx postprocessing, then you must also include ammonia or urea as a gas-phase species. Additionally, you will need to specify the mass fraction of ammonia or urea at the respective inlet for the SNCR injection. You must include this set of inputs prior to the main ANSYS FLUENT combustion calculation.
If you plan to select this option for NOx postprocessing, then you must include NH
as both a gas-phase and liquid-phase species. Additionally, you will need to specify injection locations for liquid droplet ammonia particles and set gaseous ammonia as the evaporation species. You need to include this set of inputs in conjunction with the main
ANSYS FLUENT combustion calculation.
Since urea is a subliming solid, and usually is injected as a solution, mixed in water, you have to define solid properties for urea under the
Create/Edit Materials dialog box. We assume that the water evaporates before urea begins its subliming process. The sublimation process is modeled similar to the single rate devolatilization model of coal. You will supply the value for the sublimation rate (
). You must specify the water content while defining the injection properties.
define/models/nox-parameters/nox-chemistry
You will use the urea decomposition under the SNCR tab to define which of the two decomposition models is to be used. The first model (which is the default) is the rate-limiting decomposition model, as given in this table in the separate Theory Guide. ANSYS FLUENT will then calculate the source terms according to the rates given in this table in the separate Theory Guide. The second model is for the user who assumes urea decomposes instantly into ammonia and HNCO at a given proportion. In this case, you will specify the molar conversion fraction for ammonia, assuming that the rest of the urea is converted to HNCO. An example value is given above.
The value for
user-specified NH
conversion is the mole fraction of NH
in the mixture of NH
and HNCO that is instantly created from the reagent injection. In this case, there is no urea source because all of reagent is assumed to convert to both NH
and HNCO, instantly.
Setting Turbulence Parameters
If you want to take into account turbulent fluctuations (as described in this section in the separate Theory Guide) when you compute the specified NOx formation (thermal, prompt, and/or fuel, with or without reburn), define the turbulence parameters in the Turbulence Interaction Mode tab.
Select one of the options in the PDF Mode drop-down list in the Turbulence Interaction Mode tab:
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When modeling the formation of other pollutants along with NOx, you should compare the selections made in the
PDF Mode drop-down lists in the
Turbulence Interaction Mode group boxes of the
NOx Model dialog box and the
Turbulence Interaction Mode group boxes of the
SOx Model and
Soot Model dialog boxes. If
mixture fraction is selected in any of these dialog boxes, then it must be selected in all of the others as well.
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The mixture fraction option is available only if you are using either the non-premixed or partially premixed combustion model to model the reacting system. If you use the mixture fraction option, the instantaneous temperatures and species concentrations are taken from the PDF look-up table as a function of mixture fraction and enthalpy and the instantaneous NOx rates are calculated at each cell. The PDF used for convoluting the instantaneous NOx rates is the same as the one used to compute the mean flow-field properties. For example, for single-mixture fraction models the beta PDF is used, and for two-mixture fraction models, the beta or the double delta PDF can be used. The PDF for mixture fraction is calculated from the values of mean mixture fraction and variance at each cell, and the instantaneous NOx rates are convoluted with the mixture fraction PDF to yield the mean rates in turbulent flow.
If you selected temperature or temperature/species for the PDF Mode, you should define the following parameters in the Turbulence Interaction Mode tab:
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Note that the species variance will always be calculated using the algebraic form of the transport equation (
this equation in the separate
Theory Guide).
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Defining Boundary Conditions for the NOx Model
At flow inlet boundaries, you will need to specify the Pollutant NO Mass Fraction, and if necessary, the Pollutant HCN Mass Fraction, Pollutant NH3 Mass Fraction, and Pollutant N2O Mass Fraction.
Boundary Conditions
You can retain the default inlet values of zero for these quantities or you can input nonzero numbers as appropriate for your combustion system.