“Fourier number”的概念、定义、翻译、参考文献-科学参考

Fourier number

Chemical Engineering

A dimensionless number, Fo, used in unsteady-state heat and mass transfer calculations that characterize the connection between the rate of change of temperature, the physical properties, and the dimensions of the body defined as:
$F o = \frac{α t}{l^{2}}$

where α is the thermal diffusivity, t is time, and l is the length through which conduction takes place. The Fourier number is used together with the Biot number to solve unsteady-state heat transfer problems. In the case where the Biot number is less than 0.1, the time can be calculated from:
$t = \frac{m c_{p}}{h A} ln \frac{T_{o} - T_{\infty}}{T - T_{\infty}}$

where T_o is the initial temperature and T is the temperature at the centre of the body. The analogous form of the Fourier number used for mass transfer is given by:
$F o = \frac{D t}{l^{2}}$
(p. 157)

where D is the diffusivity. The Fourier number is named after the French physicist and mathematician Jean Baptiste Joseph Fourier (1768–1830).

单词	Fourier number
释义	Fourier number Chemical Engineering A dimensionless number, Fo, used in unsteady-state heat and mass transfer calculations that characterize the connection between the rate of change of temperature, the physical properties, and the dimensions of the body defined as: $F o = \frac{α t}{l^{2}}$ where α is the thermal diffusivity, t is time, and l is the length through which conduction takes place. The Fourier number is used together with the Biot number to solve unsteady-state heat transfer problems. In the case where the Biot number is less than 0.1, the time can be calculated from: $t = \frac{m c_{p}}{h A} ln \frac{T_{o} - T_{\infty}}{T - T_{\infty}}$ where T_o is the initial temperature and T is the temperature at the centre of the body. The analogous form of the Fourier number used for mass transfer is given by: $F o = \frac{D t}{l^{2}}$ (p. 157) where D is the diffusivity. The Fourier number is named after the French physicist and mathematician Jean Baptiste Joseph Fourier (1768–1830).
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