Stanton number
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).[1] It is used to characterize heat transfer in forced convection flows.
where
- h = convection heat transfer coefficient
- ρ = density of the fluid
- cp = specific heat of the fluid
- u = speed of the fluid
It can also be represented in terms of the fluid's Nusselt, Reynolds, and Prandtl numbers:
where
- Nu is the Nusselt number;
- Re is the Reynolds number;
- Pr is the Prandtl number.[2]
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).
References
- ↑ The Victoria University of Manchester’s contributions to the development of aeronautics
- ↑ Bird, Stewart, Lightfoot (2007). Transport Phenomena. New York: John Wiley & Sons. p. 428. ISBN 978-0-470-11539-8.