Index

Flux density imposed (Temperature)

Ver: 1
 

DESCRIPTION

Depending on the problem defined by the user, two types of flux density may be requested.
 
For all problems in which temperature is a variable, imposes the heat flux as a function of the temperature (which remains a variable). The heat flux is the sum of a constant flux, a convective flux, and a radiative flux. The constant heat flux is possibly a function of the coordinates.
q = qc + alpha * [ T - Talpha ] + sigma * [ (T + T0) ** 4 - (Tsigma + T0) ** 4 ] ,
where qc is a temperature independent heat flux, alpha is a heat convection coefficient with a reference temperature Talpha, and sigma is a radiation coefficient with a reference temperature Tsigma. T0 is a scaling factor which vanishes for an absolute temperature scale.
By default : q = 0.

 
OPTIONS
 
-1 Upper level menu
1 Modification of qc
The temperature independent contribution to the heat flux. However qc can depend upon coordinates.
2 Modification of alpha
The heat convection coefficient must be positive
3 Modification of Talpha
The reference temperature for the convective heat exchange
4 Modification of sigma
The radiation coefficient must be positive. It is obtained as the product of the Stefan-Boltzman constant (5.6697e-8 W/m2/K4 or 5.6697e-5 erg/cm2/s/K4) by the emissivity on the boundary.
5 Modification of Tsigma
The reference temperature for the radiative heat exchange
6 Modification of T0
A non-vanishing value for T0 must be specified when non-absolute temperature scales are used. For example, T0 = 273.15 ?C if temperatures are given in Celsius. This is mandatory when radiative heat fluxes are taken into account.
NOTES Non-isothermal problems with temperature dependent boundary heat fluxes can sometimes lead to strong non-linearities which should be handled by means of an evolution scheme.

The units for the various parameters are :
 
Parameter
Mass
Length
Time
Temperature
    q
1
-
-3
-
    qc
1
-
-3
-
    alpha
1
-
-3
-1
    sigma
1
-
-3
-4


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