Integral quantities in Heat transfer
For the heat transfer analysis, the most interesting integral values are: the heat flux, mean volume temperature.
The following notations are used in formulas:
- T – temperature;
- G – vector of temperature gradient;
- F – vector of heat flux density.
| Name, ActiveField constant | Formula and Description |
|---|---|
| Heat flux
qfInt_KGrad_n_ds |
\[ Φ = \int (\mathbf F · \mathbf n )ds, \]
Heat flux through a particular surface. |
| Name, ActiveField constant | Formula and Description |
|---|---|
| Average surface temperature
qfInt_Potential_ds | \[ T = \frac{1}{S} \int T ds, \] |
| Average volume temperature
qfInt_Potential_dv | \[ T = \frac{1}{V} \int T dv, \] |
| Root mean square value of the surface temperature gradient
qfInt_Grad_ds | \[ G = \sqrt {\frac{1}{S}\int |\mathbf G|^2 ds } \] |
| Root mean square value of the volume temperature gradient
qfInt_Grad_dv | \[ G = \sqrt {\frac{1}{V}\int |\mathbf G|^2 dv } \] |
| Root mean square value of the surface heat flux density
qfInt_KGrad_ds | \[ F = \sqrt {\frac{1}{S}\int |\mathbf F|^2 ds } \] |
| Root mean square value of the volume heat flux density
qfInt_KGrad_dv | \[ F = \sqrt {\frac{1}{V}\int |\mathbf F|^2 dv } \] |