Index

Density

Ver: 2
 

DESCRIPTION

Allows the user to modify the current value of the fluid density r0. A non-vanishing value of r0 is mandatory when inertia terms, gravity forces, or heat convection are to taken into account.

Unless otherwise specified, the fluid density remains constant and its default value is zero.

In the case of a flow problem where the density has been made dependent upon one or more field variables with the help of the PMAT keyword, an average value must be entered.

In the case of gas flow problem, the density varies in function of temperature as described by the perfect gas law.

 
OPTIONS
For all problems except the gas flow problem :
-1
Upper level menu
The current value is accepted
1
Modification of density
The current value of the density is modified
2
Modification of average density
The current value of the average density is modified. This option is presented only when the density has been made dependent upon field variables with the help of the PMAT keyword.
3
Density boundary conditions
Allows for setting boundary conditions on the density. This option is presented only when the density has been made dependent upon field variables with the help of the PMAT keyword.
For the gas flow problem :
-1
Upper level menu
The current values are accepted
1
Modification of P0
Operating pressure in reactor. Default value is 101325 Pa, i.e. the atmospheric pressure.
2
Modification of Mw
Molecular weight of the gas. Default value is 1.
3
Modification of Rg
Rg is the ideal gas constant. Default value is 8.3143.
NOTES The gas flow is a non-linear problem by its nature because the density depends upon the temperature.

For all other problem, a constant fluid density may interact with several non-linearities :

- Inertial terms (Reynolds number)
- Heat advection terms (Peclet number)
- Natural convection (Grashof number)


When convergence difficulties are encountered, an evolution scheme should be considered with increasing r0. This is not possible, however, in the case of the gas flow problem where the evolution scheme has to be applied to other variables such as inflow flux, boundary temperature, etc.

  The units for r0 and r0init are :
 
Parameter
Mass
Length
Time
Temperature
    r0
1
-3
0
0
    r0init
1
-3
0
0
SEE ALSO