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Stanton number[′stant·ən ‚nəm·bər]
(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).