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| The '''Stanton number''', ''St'', is a [[dimensionless number]] that measures the ratio of heat transferred into a fluid to the [[thermal capacity]] of fluid. The Stanton number is named after Thomas Edward Stanton (1865–1931).<ref>[http://www.raes.org.uk/pdfs/3164COLOUR.pdf The Victoria University of Manchester’s contributions to the development of aeronautics]</ref> It is used to characterize [[heat transfer]] in forced [[convection]] flows.
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| :<math>\mathrm{St} = \frac{h}{G c_p} = \frac{h}{\rho u c_p}</math>
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| where
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| *''h'' = [[convection]] [[heat transfer coefficient]]
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| * ''ρ'' = [[density]] of the fluid
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| *''c<sub>p</sub>'' = [[specific heat]] of the fluid
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| *''u'' = [[speed]] of the fluid
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| It can also be represented in terms of the fluid's [[Nusselt number|Nusselt]], [[Reynolds number|Reynolds]], and [[Prandtl number|Prandtl]] numbers:
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| :<math>\mathrm{St} = \frac{\mathrm{Nu}}{\mathrm{Re}\,\mathrm{Pr}}</math>
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| where
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| * Nu is the [[Nusselt number]];
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| * Re is the [[Reynolds number]];
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| * Pr is the [[Prandtl number]].<ref>{{cite book|last=Bird, Stewart, Lightfoot|title=Transport Phenomena|year=2007|publisher=John Wiley & Sons|location=New York|isbn=978-0-470-11539-8|pages=428}}</ref>
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| 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 [[Viscosity|viscous drag]]) and the total heat transfer at the wall (due to [[thermal diffusivity]]).
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| ==References==
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| {{Reflist}}
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| {{NonDimFluMech}}
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| {{DEFAULTSORT:Stanton Number}}
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| [[Category:Dimensionless numbers of fluid mechanics]]
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| [[Category:Dimensionless numbers of thermodynamics]]
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| [[Category:Fluid dynamics]]
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