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Fourier number : ウィキペディア英語版
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.
== Definition ==

The general Fourier number is defined as:
:\mathrm = \frac
The thermal Fourier number, , is defined by the conduction rate to the rate of thermal energy storage:
:\mathrm_h = \frac
where:
* \alpha = \tfrac is the thermal diffusivity (SI units: m2/s)
* ''t'' is the characteristic time (s)
* ''L'' is the length through which conduction occurs (m)
For transient mass transfer by diffusion, there is an analogous mass Fourier Number, , defined by:
:\mathrm_m = \frac
where:
* ''D'' is the diffusivity (m2/s)
* ''t'' is the characteristic timescale (s)
* ''L'' is the length scale of interest (m)

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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