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Stanton number

 
Sci-Tech Dictionary: Stanton number
(′stant·ən ′nəm·bər)

(thermodynamics) A dimensionless number used in the study of forced convection, equal to the heat-transfer coefficient of a fluid divided by the product of the specific heat at constant pressure, the fluid density, and the fluid velocity. Symbolized NSt. Also known as Margoulis number (M).


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Measures and Units: Stanton number
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[Etymology: T. Stanton; UK 1865-1931] rheology

As St (also Margoulis number), relating to heat transport, the dimensionless ratio of the coefficient of heat transfer to the product of the speed, the volumic mass, and the massic heat content at constant pressure.International Standards Association
[ ISO 31-12:1992 Quantities and Units: Characteristic Numbers]
[Mills I., Cvitas T., Homan K., Kuchitsu K. Quantities, Units and Symbols in Physical Chemistry, 2nd edn (Oxford: Blackwell, 1993)] Identically the ratio of the Nusselt number to the Péclet number (both for heat transport). The product of the cube of St and the square of the Prandtl number equals the cube of the heat transfer factor.

As St*, the Stanton number for mass transfer, relating to the transport of matter in a binary mixture, the dimensionless ratio of the mass-transfer coefficient to the product of volumic mass and the speed.International Standards Association
[ ISO 31-12:1992 Quantities and Units: Characteristic Numbers]
[Mills I., Cvitas T., Homan K., Kuchitsu K. Quantities, Units and Symbols in Physical Chemistry, 2nd edn (Oxford: Blackwell, 1993)] Identically the ratio of the Nusselt number to the Péclet number (both for mass transport). The product of the cube of St* and the square of the Schmidt number equals the cube of the mass transfer factor.

Wikipedia: Stanton number
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The Stanton number, St or CH, is a dimensionless number which measures the ratio of heat transferred into a fluid to the thermal capacity of fluid. It is used to characterize heat transfer in forced convection flows.

\mathrm{St} = \frac{h}{c_p\cdot\rho\cdot V}

where

It can also be represented in terms of the fluid's Nusselt, Reynolds, and Prandtl numbers:

\mathrm{St} = \frac{\mathrm{Nu}}{\mathrm{Re}\cdot\mathrm{Pr}}

where


The Stanton number arises in the consideration of the geometric similarity of the momentum boundary layer and the thermal boundary layer, where it can be used to express a relationship between the shear force at the wall (due to viscous drag) and the total heat transfer at the wall (due to thermal diffusivity).



 
 

 

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Measures and Units. A Dictionary of Weights, Measures, and Units. Copyright © Donald Fenna 2002, 2004. All rights reserved.  Read more
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