FCSys.Species.'C+'.Graphite

C⁺ graphite

Information

Extends from Modelica.Icons.Package (Icon for standard packages).

Package Content

Name	Description
Fixed	Fixed properties

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FCSys.Species.'C+'.Graphite.Fixed

Fixed properties

Information

Assumptions:

1. The thermal independity and thermal resistivity are fixed (e.g., independent of thermodynamic state).
2. The specific heat capacity is independent of temperature.
3. Mobility is zero.

The default isobaric specific heat capacity (via b_c = [935*U.J*Data.m/(U.kg*U.K)]) and thermal resistivity (θ = U.m*U.K/(11.1*U.W)) are for graphite fiber epoxy (25% vol) composite (with heat flow parallel to the fibers) at 300 K [Incropera2002, p. 909]. The integration offset for specific entropy is set such that the specific entropy is 154.663 J/(mol·K) at 25 °C and p^o (1 atm). This is the value from Table B in [McBride2002]. Additional thermal data is listed in Table 1.

Table 1: Properties of forms of C [Incropera2002, p. 909].

T /U.K	Diamond (type IIa)		Amorphous carbon	Graphite (pyrolytic)			Graphite fiber epoxy (25% vol) composite
	cp*U.kg *U.K /(U.J *Data.m)	θ *U.W /(U.m *U.K)	θ *U.W /(U.m *U.K)	cp*U.kg *U.W /(U.J *Data.m)	θ*U.W/(U.m*U.K)		cp*U.kg *U.K /(U.J *Data.m)	θ*U.W/(U.m*U.K)
					Parallel to layers	Perpendicular to layers		Parallel to layers	Perpendicular to layers
100	21	1/10000	1/0.67	136	1/4970	1/16.8	337	1/5.7	1/0.46
200	194	1/4000	1/1.18	411	1/3230	1/9.23	642	1/8.7	1/0.68
300	509	1/2300	1/1.89	709	1/1950	1/5.70	935	1/11.1	1/0.87
400	853	1/1540	1/2.19	992	1/1390	1/4.09	1216	1/13.0	1/1.1
600	-	-	1/2.37	1406	1/892	1/2.68	-	-	-
800	-	-	1/2.53	1650	1/667	1/2.01	-	-	-
1000	-	-	1/2.84	1793	1/534	1/1.60	-	-	-
1200	-	-	1/3.48	1890	1/448	1/1.34	-	-	-
1500	-	-	-	1974	1/357	1/1.08	-	-	-
2000	-	-	-	2043	1/262	1/0.81	-	-	-

For more information, please see the Species model.

Extends from Solid (Base model for an inert, stationary solid).

Parameters

Type	Name	Default	Description
Integer	n_inter	0	Number of exchange connections with other phases
Geometry
NumberAbsolute	epsilon	0.25	Volumetric fill fraction [1]
Length	kL[:]	L[cartTrans]	Effective transport length [L]
Material properties
replaceable package Data		Characteristics.'C+'.Graphit…	Characteristic data
Mobility	mu	0	Mobility [N.T/M]
Independence factors
NumberAbsolute	k_intra_Phi[n_intra, n_trans]	ones(n_intra, n_trans)	For translational exchange among species within the phase [1]
NumberAbsolute	k_intra_Q[n_intra]	ones(n_intra)	For thermal exchange among species within the phase [1]
Initialization
Velocity	phi.start[n_trans]	0	Velocity [L/T]
Assumptions
Integer	n_trans	1	Number of transport axes
Formulation of the conservation equations
ConsThermo	consEnergy	ConsThermo.dynamic	Energy
Initialization
TemperatureAbsolute	T_IC		Initial temperature [L2.M/(N.T2)]

Connectors

Type	Name	Description
Intra	intra[n_intra]	Connectors to exchange translational momentum and energy within the phase
Inter	inter[n_inter]	Connectors to exchange translational momentum and energy with all other species
Dalton	dalton	Connector for additivity of pressure
ThermalDiffusive	boundaries[n_trans, Side]	Connectors for transport
Material properties
replaceable package Data		Characteristic data

Modelica definition

model Fixed "Fixed properties"

  extends Solid(
    redeclare replaceable package Data = Characteristics.'C+'.Graphite (
        n_c=0,
        T_lim_c={0,Modelica.Constants.inf},
        b_c=[935*U.J*Data.m/(U.kg*U.K)],
        B_c=[Data.Deltah0_f - (935*U.J*Data.m/U.kg)*298.15, 154.663*U.J/(U.mol*
            U.K) - Data.b_c[1, 1]*log(298.15*U.K)]),
    final mu=0,
    redeclare parameter Q.TimeAbsolute nu=Data.nu(),
    redeclare parameter Q.ResistivityThermal theta=U.m*U.K/(11.1*U.W));

  // Note:  Parameter expressions (e.g., nu=Data.nu(environment.T)) are not
  // used here since they render the parameters unadjustable after translation
  // in Dymola 2014.  This also applies to the other species.

  // See the documentation layer for a table of values for the specific heat
  // capacity and thermal resistivity.

end Fixed;