Buoyancy Driven Flow Rate Calculator

Buoyancy Driven Flow Rate Equation

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

Calculator

Property to Calculate:

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):

Equation Assumptions

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