Grashof number¶
The Grashof number (Gr) is a dimensionless number which approximates the ratio of the buoyancy to viscous forces acting on a fluid. It arises in situations involving natural convection and is analogous to the Reynolds number.
Notation:
\(g\) (
g) isacceleration_due_to_gravity.
Links:
- grashof_number¶
Grashof number of the fluid.
- Symbol:
Gr- Latex:
\(\text{Gr}\)
- volumetric_expansion_coefficient¶
Volumetric coefficient of thermal expansion of the body.
- Symbol:
beta- Latex:
\(\beta\)
- surface_temperature¶
temperatureof the surface of the fluid.- Symbol:
T_s- Latex:
\(T_\text{s}\)
- Dimension:
temperature
- bulk_temperature¶
Average
temperatureof the inside of the fluid.- Symbol:
T_b- Latex:
\(T_\text{b}\)
- Dimension:
temperature
- characteristic_length¶
An important dimension of the given fluid, usually defined as the volume of the body divided by its area.
- Symbol:
L
- kinematic_viscosity¶
Kinematic viscosity of the fluid.
- Symbol:
nu- Latex:
\(\nu\)
- law¶
Gr = g * beta * (T_s - T_b) * L^3 / nu^2- Latex:
- \[\text{Gr} = g \beta (T_\text{s} - T_\text{b}) \frac{L^3}{\nu^2}\]