The Mechanical Engineering Handbook



Grashof Number

Grashof Number Equation



$$ Gr = \frac{g \beta \Delta T L^3}{{\nu}^2} $$ where:

Gr   =   Grashof Number   (Dimensionless)

g   =   Gravitational Acceleration  (m/s²)

β   =   Thermal Expansion Coefficient  (K-1)

Δ T   =   Temperature Difference   (K)

L   =   Characteristic Length   (m)

ν   =   Kinematic Viscosity   (m²/s)


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Equation Assumptions



Assumptions:

  • The fluid is incompressible.
  • The fluid flow is laminar.
  • Steady flow conditions.
  • The temperature of the fluid is uniform.