8.7. Specific Heat Capacity

The specific heat capacity must be defined when the energy equation is active. Ansys Fluent provides several options for definition of the heat capacity:

  • constant heat capacity

  • temperature- and/or composition-dependent heat capacity

  • kinetic theory

Each of these input options and the governing physical models are detailed in this section. In all cases, you will define the Cp in the Create/Edit Materials Dialog Box.

 Setup   Materials

Specific heat capacity is input in units of J/kg-K in SI units or BTU/lbm-°R in British units.


Important:  For combustion applications, a temperature-dependent specific heat is recommended.


8.7.1. Input of Constant Specific Heat Capacity

If you want to define the heat capacity as a constant, check that constant is selected in the drop-down list to the right of Cp in the Create/Edit Materials Dialog Box, and enter the value of heat capacity.

The specific heat for the default fluid (air) is 1006.43 J/kg-K.

8.7.2. Specific Heat Capacity as a Function of Temperature

You can also choose to define the specific heat capacity as a function of temperature. Three types of functions are available:

  • piecewise-linear:

    (8–63)

  • piecewise-polynomial:

    (8–64)

  • nasa-9-piecewise-polynomial:

    (8–65)

  • polynomial:

    (8–66)

You can input the data pairs (), ranges and coefficients and , or coefficients that describe these functions using the Create/Edit Materials Dialog Box, as described in Defining Properties Using Temperature-Dependent Functions.

8.7.3. Defining Specific Heat Capacity Using Kinetic Theory

If you are using the ideal gas law (as described in Density), you have the option to define the specific heat capacity using kinetic theory as

(8–67)

where is the number of modes of energy storage (degrees of freedom) for the gas species that you can input by selecting kinetic-theory from the drop-down list to the right of Cp in the Create/Edit Materials Dialog Box. The solver will use your kinetic theory inputs in Equation 8–67 to compute the specific heat capacity. See Kinetic Theory Parameters for details about kinetic theory inputs.

8.7.4. Specific Heat Capacity as a Function of Composition

If you are modeling a flow that includes more than one chemical species (multicomponent flow), you have the option to define a composition-dependent specific heat capacity. You can also define the heat capacity of the mixture as a constant value or a function of temperature, or using kinetic theory.

To define a composition-dependent specific heat capacity for a mixture, follow these steps:

  1. For the mixture material, choose mixing-law in the drop-down list to the right of Cp.

  2. Click Change/Create.

  3. Define the specific heat capacity for each of the fluid materials that make up the mixture. You may define constant or (if applicable) temperature-dependent heat capacities for the individual species. You may also use kinetic theory for the individual heat capacities, if applicable.

The solver will compute the mixture’s specific heat capacity as a mass fraction average of the pure species heat capacities:

(8–68)