Fourier, J.B.J.

(redirected from Fourier law)


J.B.J., French mathematician and administrator, 1768-1830.
Fourier analysis - used in reconstruction of images in computed tomography and magnetic resonance imaging in radiology and in analysis of any kind of signal for its frequency content. Synonym(s): Fourier law; Fourier transform
Fourier law - Synonym(s): Fourier analysis
Fourier transform - Synonym(s): Fourier analysis
References in periodicals archive ?
More precisely, Fourier law is diffusive and cannot predict the finite temperature propagation speed in transient situations, in this context, the Cattaneo-Vernotte equation corrects the nonphysical property of infinite propagation of the Fourier and Fickian theory of the diffusion of heat, and this equation also known as the telegraph equation for the temperature is a generalization of the heat diffusion (Fourier's law) and particle diffusion (Fick's laws) equations.
Tzou [11, 12] had introduced another modification to Fourier law, by inventing two time lags, Dual Phase Lag (DPL), between the heat flux and the temperature gradient namely the heat flux time lag and the temperature gradient time lag.
T] = 0 one obtain the Maxwell-Cattaneo model, and Fourier law obtained if [[tau].
The time-nonlocal generalization of the Fourier law with the "long-tail" power kernel [11, 13-15] can be interpreted in terms of fractional calculus (theory of integrals and derivatives of noninteger order) and results in the time-fractional heat conduction equation