The Biot number (Bi) is a dimensionless quantity used in heat transfer calculations, named for the eighteenth-century French physicist Jean-Baptiste Biot (1774–1862). The Biot number is the ratio of the thermal resistance for conduction inside a body to the resistance for convection at the surface of the body. This ratio indicates whether the temperature inside a body varies significantly in space when the body is heated or cooled over time by a heat flux at its surface. WebFeb 2, 2011 · 120839. The Biot Number is a dimensionless group named after J. B. Biot who, in 1804, analysed the interaction between conduction in a solid and convection at its surface. The numerical value of Biot Number (Bi) is a criterion which gives a direct indication of the relative importance of conduction and convection in determining the …

Dimensionless Numbers - EnggCyclopedia

WebFeb 2, 2011 · BIOT NUMBER. The Biot Number is a dimensionless group named after J. B. Biot who, in 1804, analysed the interaction between conduction in a solid and … The Fourier number is used in analysis of time dependent transport phenomena, generally in conjunction with the Biot number if convection is present. The Fourier number arises naturally in nondimensionalization of the heat equation . See more In the study of heat conduction, the Fourier number, is the ratio of time, t, to a characteristic time scale for heat diffusion, td. This dimensionless group is named in honor of J.B.J. Fourier, who formulated the modern … See more An analogous Fourier number can be derived by nondimensionalization of Fick's second law of diffusion. The result is a mass transfer Fourier number, Fom defined as: See more • Biot number • Convection • Heat conduction • Heat equation See more The general definition of the Fourier number, Fo, is: F o = time time scale for diffusion = t t d {\displaystyle … See more The Fourier number can be derived by nondimenionalizing the time-dependent diffusion equation. As an example, consider a rod of length L that is being heated from an initial temperature, T0, by the imposition at time t = 0 of a higher temperature at x = … See more guys from workaholics podcast

FOURIER AND BIOT NUMBERS AND THE ACCURACY …

WebThe Fourier number (Fo) is a dimensionless number that is used to describe transient heat conduction. It is the ratio of the conductive/diffusive transport rate to the heat/matter … WebFourier number (Fo) is a dimensionless number that characterizes transient heat conduction. The Fourier number (Fo) is a time dimensionless number which is the ratio between the rate of heat … WebFourier number. [ ‚fu̇r·ē‚ā ‚nəm·bər] (fluid mechanics) A dimensionless number used in unsteady-state flow problems, equal to the product of the dynamic viscosity and a characteristic time divided by the product of the fluid density and the square of a characteristic length. Symbolized Fof . (physics) guys from sweden