`Gr_L = (g*beta(T_s-T_i)L^3)/nu^2`

Enter a value for all fields

The Grashof Number for Vertical Flat Plates calculator computes the Grashof number for vertical flat plates based on the coefficient of expansion, surface temperature, bulk temperature, vertical length, kinematic viscosity and the acceleration due to gravity.

INSTRUCTIONS: Choose units and enter the following:

• (β)  Coefficient of thermal expansion in (1/K)
• (g) Acceleration due to gravity.
• (T_s)  Surface temperature
• (T_∞) Bulk temperature
• (L)  Vertical Length
• (ν) Kinematic Viscosity

Grashof Number for Vertical Flat Plates(Gr_L):  The calculator returns the Grashof Number.

Heat Transfer Calculators

• Grashof Number (pipes)
• Grashof Number (bluff bodies)
• Grashof Number (flat vertical plate)
• Richardson Number 
• Reynold's Number

The Math / Science

The Grashof Number for vertical flat platesis a dimensionless number in fluid dynamics and heat transfer which approximates the ratio of the buoyancy to viscous force acting on a fluid. It frequently arises in situations involving natural convection. The Grashof Number formula for pipes is:

`Gr_D=(g·β(T_s-T_∞)L^3)/ν^2`,

where:

• Gr_D is the Grashof Number for Vertical Flat Plates
• g is the gravitational acceleration
• β is coefficient of thermal expansion in (1/K)
• T_s is the surface temperature
• T_∞ is the bulk temperature
• L is the vertical length of the plate
• ν is the kinematic viscosity

Note: the default gravitational acceleration is 9.80665 m/s2, which is the acceleration due gravity at sea level in SI units.

References

Wikipedia (https://en.wikipedia.org/wiki/Grashof_number)