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Grashof Number Calculator

Compute the Grashof number Gr = gβΔTL³/ν² (buoyancy vs viscosity).

Input Data

Gravity
m/s²
Thermal Expansion
1/K
Temp Diff
K
Char Length
m
Kinematic Viscosity
m²/s

Results

Gr = gβΔTL³/ν².
2,650,598.4

At a glance:Gr = g·β·ΔT·L³/ν²; natural-convection analog of Re. Complements rayleigh-number and nusselt-number.

Formula

Gr = g·β·ΔT·L³ / ν².

$$\mathrm{Gr} = \dfrac{g\,\beta\,\Delta T\,L^3}{\nu^2}$$

How to Use

  1. Enter g, β, ΔT, L and ν.
  2. The tool returns Gr.

Case Studies

g=9.8, β=0.003, ΔT=10, L=0.1, ν=1.5e-5

Gr ≈ 1.31e6.

FAQ

With Rayleigh?

Ra = Gr·Pr; used in Nusselt correlations.

Related Tools

References

Content review: Calculatorism Editorial Team. Results are for reference only; please refer to the relevant authorities for the official figures.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Grashof Number Calculator(/physics/grashof-number)。