The Stanton number, St, is a dimensionless number that 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.
where
- h = convection heat transfer coefficient
- = density of the fluid
- cp = specific heat of the fluid
- V = velocity 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
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).
The Stanton number is named after Thomas Edward Stanton (1865–1931).
Famous quotes containing the words stanton and/or number:
“... women learned one important lesson—namely, that it is impossible for the best of men to understand women’s feelings or the humiliation of their position. When they asked us to be silent on our question during the War, and labor for the emancipation of the slave, we did so, and gave five years to his emancipation and enfranchisement.... I was convinced, at the time, that it was the true policy. I am now equally sure that it was a blunder.”
—Elizabeth Cady Stanton (1815–1902)
“If we remembered everything, we should on most occasions be as ill off as if we remembered nothing. It would take us as long to recall a space of time as it took the original time to elapse, and we should never get ahead with our thinking. All recollected times undergo, accordingly, what M. Ribot calls foreshortening; and this foreshortening is due to the omission of an enormous number of facts which filled them.”
—William James (1842–1910)