Block Format Keyword
/MAT/LAW6 - Hydrodynamic Viscous Fluid Material
Description
Describes the hydrodynamic viscous fluid material using a polynomial EOS.
Format
(1)
|
(2)
|
(3)
|
(4)
|
(5)
|
(6)
|
(7)
|
(8)
|
(9)
|
(10)
|
/MAT/LAW6/mat_ID/unit_ID or /MAT/HYDRO/mat_ID/unit_ID
|
mat_title
|
![](embim4714.gif)
|
![](embim4715.gif)
|
|
|
|
|
|
|
![](embim4716.gif)
|
|
|
|
|
|
|
|
|
C0
|
C1
|
C2
|
C3
|
|
|
Pmin
|
Psh
|
|
|
|
|
|
|
C4
|
C5
|
E0
|
|
|
|
|
Field
|
Contents
|
SI Unit Example
|
mat_ID
|
Material identifier
(Integer, maximum 10 digits)
|
|
unit_ID
|
Optional unit identifier
(Integer, maximum 10 digits)
|
|
mat_title
|
Material title
(Character, maximum 100 characters)
|
|
![](embim4717.gif)
|
Initial density
(Real)
|
![](embim4718.gif)
|
![](embim4719.gif)
|
Reference density used in E.O.S (equation of state)
Default = (Real)
|
![](embim4721.gif)
|
![](embim4722.gif)
|
Kinematic viscosity
(Real)
|
![](embim4723.gif)
|
C0
|
Constant parameter coefficient
(Real)
|
![](embim4724.gif)
|
C1
|
Constant parameter coefficient
(Real)
|
![](embim4725.gif)
|
C2
|
Constant parameter coefficient
(Real)
|
![](embim4726.gif)
|
C3
|
Constant parameter coefficient
(Real)
|
![](embim4727.gif)
|
Pmin
|
Pressure cutoff ( < 0 )
Default = -1030 (Real)
|
![](embim4728.gif)
|
Psh
|
Pressure shift
(Real)
|
![](embim4729.gif)
|
C4
|
Energy coefficient
(Real)
|
|
C5
|
Energy coefficient
(Real)
|
|
E0
|
Initial energy per unit volume
(Real)
|
![fail_energy](fail_energy.png)
|
|
#RADIOSS STARTER
/UNIT/1
unit for mat
kg m s
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/MAT/HYDRO/4/1
AIR
# RHO_I RHO_0
1.22 0
# Knu
1.5E-5
# C0 C1 C2 C3
0 0 0 0
# Pmin Psh
0 101320
# C4 C5 E0
0.4 0.4 253300
/EULER/MAT/4
# Modif. factor.
0
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#enddata
/END
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
|
1. | ![](embim4730.gif) |
Where, for no turbulence, Sij is the deviatoric stress tensor and is the deviatoric strain tensor.
2. | Pressure is defined as: |
![](embim4733.gif)
with and E being the internal energy unit reference volume.
3. | In case of a perfect gas: |
and ![](embim4736.gif)
with being the perfect gas constant.
4. | In case of an incompressible gas: |
and ![](embim4739.gif)
with c being the sound speed.
5. | In case of a linear material with a volumetric dilatation: |
and ![](embim4741.gif)
and ![](embim4743.gif)
then:
![](embim4744.gif)
![](embim4745.gif)
![](embim4746.gif)
![](embim4747.gif)
If P = cst = 0, then l=; so ![](embim4749.gif)
Where, is the dilatation coefficient, means dilatation, and in this case the parameters C2 and C3 will not be taken into account.
6. | All thermal data ( ) can be defined with keyword /HEAT. |
7. | If using Law 6 coupled with Law 37 for liquid phase (without gas phase), the compatibility of the liquid EOS is as follows: |
• | for Law 6 |
with ![](embim4755.gif)
then, ![](embim4756.gif)
8. | If using Law 6 coupled with Law 37 for gas phase (without liquid phase), the compatibility of the gas EOS is as follows: |
• | PV = cst for Law 37 |
• | for Law 6 |
with | and ![](embim4760.gif) |
![](embim4761.gif)
then,
![](embim4762.gif)
![](embim4763.gif)
![](embim4764.gif)
![](embim4765.gif)
Where, E is the energy per unit volume and e is the energy per unit mass.
|
See Also:
Material Compatibility
Law Compatibility with Failure Model
Example 43 - Perfect Gas Modeling with Polynomial EOS
/MAT/LAW6 in Theory Manual