[ANSYS, Inc. Logo] return to home search
next up previous contents index

21.1.1 Using the NOx Model



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:

1.   Calculate your combustion problem using ANSYS FLUENT as usual.

figure   

The premixed combustion model is not compatible with the NOx model.

figure   

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.

2.   Enable the desired NOx models (thermal, prompt, fuel, and/or N $_2$O intermediate NOx, with or without reburn), define the fuel streams (for prompt NOx and fuel NOx only), and set the appropriate parameters, as described in this section.

figure Models figure figure NOx figure Edit...

3.   Define the boundary conditions for NO (and HCN, NH $_3$, or N $_2$O if necessary) at flow inlets.

figure Boundary Conditions

4.   In the Equations dialog box, turn off the solution of all variables except species NO (and HCN, NH $_3$, or N $_2$O, based on the model selected).

figure Solution Controls figure Equations...

5.   Perform calculations until convergence (i.e., until the NO (and HCN, NH $_3$, or N $_2$O, if solved) species residuals are below $10^{-6}$) to ensure that the NO and HCN or NH $_3$ concentration fields are no longer evolving.

figure Run Calculation

6.   Review the mass fractions of NO (and HCN, NH $_3$, or N $_2$O) with alphanumerics and/or graphics tools in the usual way.

7.   Save a new set of case and data files, if desired.

File $\rightarrow$ Write $\rightarrow$ 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).

figure Models figure figure NOx figure Edit...

Figure 21.1.1: The NOx Model Dialog Box
figure

In the Formation tab, select the NOx models under Pathways to be used in the calculation of the NO and HCN, NH $_3$, or N $_2$O concentrations:

Your selection(s) under Pathways will activate the calculation of thermal, prompt, fuel, and/or N $_2$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:

1.   Specify the Number of Fuel Streams in the Fuel Streams group box. You are allowed up to three separate fuel streams.

2.   Define the first fuel stream.

(a)   Select the fuel stream to be defined by using the arrow keys of the Fuel Stream ID text box.

(b)   When modeling fuel NOx formation in conjunction with the non-premixed combustion model (which requires that the discrete phase model be enabled as well), make a selection from the PDF Stream drop-down list (Figure  21.1.2) to define the species for this stream. You can select either the primary or secondary fuel stream species, as defined in the PDF table.

figure   

Note that the PDF Stream drop-down list defines the species for the fuel NOx calculations only.

(c)   When modeling prompt NOx formation or when using a combustion model other than non-premixed combustion, select the fuel species from the Fuel Species list. You cannot select more than 5 fuel species for each fuel stream, and the total number of fuel species selected for all the fuel streams combined cannot exceed 10.

figure   

Note that the Fuel Species selections define the species for the prompt NOx calculations only when modeling non-premixed combustion.

(d)   Set the other parameters associated with your selected pathway(s) in the Prompt and/or Fuel tabs under Formation Model Parameters. See Section  21.1.1 and Section  21.1.1 for details.

3.   Repeat steps 2.(a)-2.(c) for each additional fuel stream.

Figure 21.1.2: The NOx Model Dialog Box with Non-Premixed Combustion
figure

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.

figure   

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:

  • Fuel NOx is enabled in the Pathways group box.

  • Prompt NOx is not enabled in the Pathways group box.

  • Solid or Liquid is selected for Fuel Type in the Fuel tab.

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.



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 ( $T_{\rm max}$) 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:

figure   

Note that the urea model uses the [OH] model.

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:

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:

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 $_3$) to predict NO formation for a gaseous or liquid fuel.

figure   

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.

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 $_3$) to predict NO formation. Several inputs are required for the coal fuel NOx model as follows:

figure   

Note that there are limitations that must be considered when defining more than one solid fuel stream. See Section  21.1.1 for details.

The following equations are used to determine the mass fraction of nitrogen in the volatiles and char:


 \dot{m}_{N_{v/c}} = \dot{m}_{v/c} * mf_{N_{v/c}} (21.1-1)


where    
  $\dot{m}_{N_{v/c}}$ = rate of release of fuel nitrogen in kg/s
  $\dot{m}_{v/c}$ = rate of release of volatiles (v) or char (c) in kg/s
  $mf_{N_{v/c}}$ = mass fraction of nitrogen in volatiles or char


Let    
  $TN_{fuel}$ = total nitrogen mass fraction in daf coal (i.e., from daf ultimate analysis)
  $N_{split}$ = char nitrogen as a fraction of total nitrogen
  $F_{vol}$ = mass fraction of volatiles in daf coal
  $F_{char}$ = mass fraction of char in daf coal

Then the following should hold:


 F_{vol} + F_{char} = 1 (21.1-2)


 \frac{F_{char} * mf_{N_{c}}}{TN_{fuel}} = N_{split} (21.1-3)


 F_{vol} * mf_{N_{v}} + F_{char} * mf_{N_{c}} = TN_{fuel} (21.1-4)


 mf_{N_{v}} = \left(1 - N_{split} \right) * \frac{TN_{fuel}}{F_{vol}} (21.1-5)


 mf_{N_{c}} = N_{split} * \frac{TN_{fuel}}{F_{char}} (21.1-6)

figure   

Note that if water is assumed to release at the same rate as volatiles, the above calculation has to be slightly modified.



Setting N $_2$O Pathway Parameters


The formation of NO through an N $_2$O intermediate can be predicted by two methods. You will specify the method to be used in the N2O Path tab.

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 $_2$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:

Figure 21.1.3: The NOx Dialog Box Displaying the Reburn Reduction Method
figure



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.

Figure 21.1.4: The NOx Dialog Box Displaying the SNCR Reduction Method
figure

Then click the SNCR tab under Reduction Method Parameters, where you can choose from the following options:



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.

Figure 21.1.5: The NOx Model Dialog Box and the Turbulence Interaction Mode Tab
figure

Select one of the options in the PDF Mode drop-down list in the Turbulence Interaction Mode tab:

figure   

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.

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:

PDF Type   allows you to specify the shape of the PDF, which is then integrated to obtain mean rates for the temperature and (if you selected temperature/species for the PDF Mode) the species. If you select beta, the PDF will be modeled using this equation in the separate Theory Guide. If you select gaussian, the PDF will be modeled using this equation in the separate Theory Guide.

PDF Points   allows you to specify the number of points used to integrate the beta or Gaussian function in this equation or this equation in the separate Theory Guide on a histogram basis. The default value of 10 will yield an accurate solution with reasonable computation time. Increasing this value may improve accuracy, but will also increase the computation time.

Temperature Variance   allows you to specify the form of transport equation that is solved to calculate the temperature variance. The default selection is algebraic, which is an approximate form of the transport equation (see this equation in the separate Theory Guide). You have the option of selecting transported to instead solve this equation in the separate Theory Guide. Though the transported form is more exact, it is also more expensive computationally.

Tmax Option   provides various options for determining the maximum limit(s) for the integration of the PDF used to calculate the temperature:

  • The default selection is global-tmax, which sets the limit as the maximum temperature in the flow field.

  • You can select local-tmax if you would rather obtain cell-based maximum temperature limits by multiplying the local cell mean temperature by the value entered in Tmax Factor.

  • You can select specified-tmax to set the limit for each cell to be the value entered in Tmax.

  • If you have selected a user-defined function in the NOx Rate drop-down list in the Formation tab, then you can select user-defined so that the temperature limit is specified by a UDF. See the separate UDF Manual for details about user-defined functions.

Species   only appears if you have selected temperature/species for the PDF Mode. Your selection in this drop-down menu determines which species' mass fraction is included in the NOx formation calculations.

figure   

Note that the species variance will always be calculated using the algebraic form of the transport equation ( this equation in the separate Theory Guide).



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.

figure 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.


next up previous contents index Previous: 21.1 NOx Formation
Up: 21.1 NOx Formation
Next: 21.1.2 Solution Strategies
Release 12.0 © ANSYS, Inc. 2009-01-29