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One of the characteristic measures for thermal processes. It shows the intensity of energy dissipation in the flow of a liquid or gas:

<table class="eq" style="width:100%;"> <tr><td valign="top" style="width:94%;text-align:center;"><img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/s/s087/s087190/s0871901.png" /></td> </tr></table>

where <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/s/s087/s087190/s0871902.png" /> is the coefficient of heat emission, <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/s/s087/s087190/s0871903.png" /> is the specific thermal capacity of the medium at constant pressure, <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/s/s087/s087190/s0871904.png" /> is the density, and <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/s/s087/s087190/s0871905.png" /> is the velocity of the flow.

The Stanton number is related to the [[Nusselt number|Nusselt number]] <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/s/s087/s087190/s0871906.png" /> and the [[Péclet number|Péclet number]] <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/s/s087/s087190/s0871907.png" /> by the relation <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/s/s087/s087190/s0871908.png" />.

The Stanton number is named after Th. Stanton.