Rayleigh Number Calculator

Rayleigh Number Calculation

Online Rayleigh formula calculator to calculate rayleigh number for Fluid problems.

The Rayleigh number (Ra) for a fluid is a dimensionless number associated with buoyancy-driven flow, also known as free convection or natural convection.

When the Rayleigh number is below a critical value for that fluid, heat transfer is primarily in the form of conduction; when it exceeds the critical value, heat transfer is primarily in the form of convection.

Formula:

Rax=gβναTs-Tx3

where,
g is acceleration due to gravity
β is the thermal expansion coefficient (equals to 1/T, for ideal gases, where T is absolute temperature).
ν is the kinematic viscosity
α is the thermal diffusivity
Ts is the surface temperature
T is the quiescent temperature (fluid temperature far from the surface of the object)
x is the characteristic length
Rax is the Rayleigh number for characteristic length x

Reference:

Wikipedia: https://en.wikipedia.org/wiki/Rayleigh_number

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