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16.7.5 Setting Up the Inert Model

This section describes how to set up and apply the inert model. For a discussion about the theory, refer to this section in the separate Theory Guide.

To enable the inert model, make sure that the non-premixed or partially premixed model is selected in the Species Model dialog box, or that a PDF file is read. Refer to Section  16.1 and Section  18 to learn more about these models.

figure Models figure figure Inert figure Edit...

Figure 16.7.6: The Inert Model Dialog Box
figure

The Inert dialog box will be displayed (Figure  16.7.6). To enable this model, select Inert Transport. The following steps will walk you through setting up the inert model:

1.   Select Fixed H/C Ratio as the Composition Option if the hydrogen to carbon ratio is known. For example, for methane ( $CH_4$) enter 4 for H/C Ratio.

Setting the H/C ratio assumes that the burned gas resulted from the complete, stoichiometric combustion of that hydrocarbon fuel with air, and the only products of the combustion are $CO_2$, $H_2O$ and $N_2$.

2.   Select User Specified as the Composition Option if you want to specify an arbitrary composition for the inert stream, as shown in Figure  16.7.7.

Figure 16.7.7: The Inert Model Dialog Box
figure

You can specify your composition stream by adding or removing species if your stream is composed of species other than the default species list.

(a)   To add species to the Species list, type the chemical formula under Inert Species and click Add.

(b)   Enter the Mass Fraction of the newly added species. Continue in this manner until all of the inert species you want to include are shown in the Species list.

(c)   Make sure the sum of the mass fractions add up to 1. ANSYS FLUENT will normalize the species mass fractions for you when you click Normalize Species.

(d)   To remove a species from the list, type the chemical formula under Inert Species and click Remove.

(e)   To print a list of all species in the thermodynamic database file ( thermo.db) in the console window, click List Available Species.



Setting Boundary Conditions for Inert Transport


You will need to set appropriate boundary conditions at flow inlets and exits for the inert tracer mass fraction, $Y_I$. The tracer species mass fraction must be between zero and one, with the value one meaning that all of the material entering the domain comes from the inert stream. The values for flow boundaries are set in the Inert Stream field of the inlet boundary condition dialog boxes, under the Species tab.



Initializing the Inert Stream


The main assumption of the inert model is that the composition of the inert stream does not change with combustion. For some dilutants, this is a very reasonable assumption, however, it is not valid for rich combustion where there is fuel in the exhaust stream. For cases where there is fuel or oxidizer left in the exhaust gas, accurate results will depend upon the user taking the fuel or oxidizer species into account when setting initial conditions.

Inert Fraction

Initialization of the inert mass fraction $Y_I$ is done in the same way as other variables: by entering in the appropriate value in the Solution Initialization task page. Another option for initialization is to patch the value of $Y_I$ in a region of the domain. When the value of $Y_I$ is patched in this way, ANSYS FLUENT automatically recalculates the enthalpy field for the current temperature field in order to account for the change in composition.

See Section  26.9.2 for details about patching values of solution variables.

Inert Composition

For combustion calculations which burn a hydrocarbon fuel, ANSYS FLUENT provides a straightforward way of setting the initial composition of the inert stream. The inert composition can be set by assuming a ratio of hydrogen to carbon in the following overall oxidation reaction (from Heywood [ 31]):


 C_a H_b + \left(a + \frac{b}{4} \right) (O_2 + 3.773 N_2) = ... ...+ \frac{b}{2} H_2 O + 3.773 \left(a + \frac{b}{4} \right) N_2 (16.7-2)

which can be rewritten in terms of the ratio of hydrogen to carbon atoms ( $y = b / a$) in the fuel as


 CH_y + \left(1 + \frac{y}{4} \right) (O_2 + 3.773 N_2) = CO_2 + \frac{y}{2} H_2 O + 3.773 \left(1 + \frac{y}{4} \right) N_2 (16.7-3)

If Equation  16.7-3 is solved for the mass fractions of $CO_2$, $H_2O$ and $N_2$, the following relations are obtained:


$\displaystyle Y_{CO_2}$ $\textstyle =$ $\displaystyle \frac{44.01}{y_{tot}}$ (16.7-4)
$\displaystyle Y_{H_2O}$ $\textstyle =$ $\displaystyle \frac{9.01 y}{y_{tot}}$ (16.7-5)
$\displaystyle Y_{N_2}$ $\textstyle =$ $\displaystyle \frac{26.56192 y + 106.24768}{y_{tot}}$ (16.7-6)

where


 y_{tot} = 35.57192 y + 150.25768

Setting the H/C ratio assumes that the burned gas resulted from the complete, stoichiometric combustion of that hydrocarbon fuel, and the only products of the combustion are $CO_2$, $H_2O$ and $N_2$. An arbitrary composition for the inert stream can also be specified in the interface.


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