Stanton Number

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Stanton number

[′stant·ən ‚nəm·bər]
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).

Stanton Number


(or Margoulis number), a similarity criterion in thermal processes. Symbolized NSt or St, the Stanton number characterizes the intensity of energy dissipation in a liquid or gas flow: Nst, = α/cp ρv, where α is the heat-transfer coefficient, cp is the specific heat of the fluid at constant pressure, ρ is the fluid density, and v is the fluid velocity.

The Stanton number represents a dimensionless form of the heat-transfer coefficient and can be expressed in terms of the Nusselt number NNu and the Péclet number Pe: NSt = NNu/Pe. The Stanton number can also be expressed in terms of the dimensionless skin-friction coefficient Cf, or the dimensionless drag coefficient λ. When the Prandtl number is equal to one, Nst = Cf/2 = λ/8.

The Stanton number was named for the British scientist T. Stanton (1865–1931).

References in periodicals archive ?
Nomenclature Re Reynolds number St Stanton number with insert q Wall heat flux (W/[m.
Table 2 shows the percentage improvement in Stanton number for inserted tubes compared to bare tube which is in agreement with the experimental studies carried out by Sethu Madhavan and Raja Rao on turbulent flow heat transfer with helical wire coil inserted tubes [5].