Thermal Fourier Number

$Fo_h = (alphat)/L^2$

$(alpha)$

$(t)$

$(L)$

Thermal Fourier Number

In physics and engineering, the Fourier number (Fo) or Fourier modulus, named after Joseph Fourier, is a dimensionless number that characterizes transient heat conduction. Conceptually, it is the ratio of diffusive or conductive transport rate to the quantity storage rate, where the quantity may be either heat (thermal energy) or matter (particles). The number derives from non-dimensionalization of the heat equation (also known as Fourier's Law) or Fick's second law and is used along with the Biot number to analyze time dependent transport phenomena.

The thermal Fourier number $Fo_"h"$ , is defined by the conduction rate of thermal energy storage.

References

Information about the Thermal Fourier number taken from Wikipedia (https://en.wikipedia.org/wiki/Fourier_number).