Ratio of a fluid's rates of convective and conductive heat transfer
In thermal fluid dynamics, the Nusselt number (Nu, after Wilhelm Nusselt[1]: 336 ) is the ratio of total heat transfer to conductive heat transfer at a boundary in a fluid. Total heat transfer combines conduction and convection. Convection includes both advection (fluid motion) and diffusion (conduction). The conductive component is measured under the same conditions as the convective but for a hypothetically motionless fluid. It is a dimensionless number, closely related to the fluid's Rayleigh number.[1]: 466
A Nusselt number of order one represents heat transfer by pure conduction.[1]: 336 A value between one and 10 is characteristic of slug flow or laminar flow.[2] A larger Nusselt number corresponds to more active convection, with turbulent flow typically in the 100–1000 range.[2]
A similar non-dimensional property is the Biot number, which concerns thermal conductivity for a solid body rather than a fluid. The mass transfer analogue of the Nusselt number is the Sherwood number.
^ abcÇengel, Yunus A. (2002). Heat and Mass Transfer (2nd ed.). McGraw-Hill.
^ ab"The Nusselt Number". Whiting School of Engineering. Retrieved 3 April 2019.
In thermal fluid dynamics, the Nusseltnumber (Nu, after Wilhelm Nusselt: 336 ) is the ratio of total heat transfer to conductive heat transfer at a boundary...
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layer thickness. For incompressible flow over a flat plate, the two Nusseltnumber correlations are asymptotically correct: N u x = 0.339 R e x 1 2 P r...
\mathrm {Pr} }}} where Nu is the Nusseltnumber; Re is the Reynolds number; Pr is the Prandtl number. The Stanton number arises in the consideration of...
length [m] of the geometry considered. (The Biot number should not be confused with the Nusseltnumber, which employs the thermal conductivity of the fluid...
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dimensionless numbers such as the Reynolds number in fluid dynamics, the Nusseltnumber in heat transfer, and the Archimedes number in sedimentation. They also develop...
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{0.5}{Pr}}\right)^{\frac {9}{16}}\right]^{\frac {-16}{9}}} Nu is the Nusseltnumber and the values of Nu0 and the characteristic length used to calculate...
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several dimensionless numbers are used such as Nusseltnumber, Reynolds number, and Prandtl number. The commonly used equation is N u a = h a D k {\displaystyle...
friction coefficient (Cf), which is a dimensionless frictional stress, and Nusseltnumber (Nu), which indicates the magnitude of convectional heat transfer. Turbine...
properties are calculated when using the Prandtl number, Nusseltnumber, Reynolds number or Grashof number to calculate a heat transfer coefficient, because...
transfer coefficient, N u c {\displaystyle {\mathit {Nu}}_{c}} is the Nusseltnumber, k {\displaystyle k} is the thermal conductivity of the fluid and d...
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diagonals give common symbols for the quantities, and the given dimensionless number is the ratio of the left column quantity over top row quantity; e.g. Re...
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power. Vafai has conducted research on the interrelationship between Nusseltnumber oscillations, temperature distribution, fluid flow patterns, and vortex...
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