Buoyancy Driven Flow Rate Calculator

Volmetric Flow Rate (Q):

Temperature Difference (Δ T):

Thermal Expansion Coefficient of the fluid (β):

Acceleration due to gravity (g):

Cross-sectional area of column (A):

Height of column (H):

Dynamic Viscosity of fluid (μ):

Characteristic Length (L):

How This Is Calculated

$$ Q = \frac{\Delta T \beta g A H^3}{\mu L} $$ where:

Q = Volmetric Flow Rate (m³/s)

Δ T = Temperature Difference (K)

β = Thermal Expansion Coefficient of the fluid (K^-1)

g = Acceleration due to gravity (m/s²)

A = Cross-sectional area of column (m²)

H = Height of column (m)

μ = Dynamic Viscosity of fluid (Pa s)

L = Characteristic Length (m)

Assumptions

The system is in steady state.
The fluid is incompressible.
Fluid density is treaded as constant.
Flow is laminar.
Heat loss is neglected.

Related Calculators

Buoyancy Force

Stack Effect

Ventilation Rate

Plume Cross-Sectional Area

Vertical Volume Flow Rate