Namespaces
Variants
Actions

Difference between revisions of "Stanton number"

From Encyclopedia of Mathematics
Jump to: navigation, search
(Importing text file)
 
(Tex done)
Line 1: Line 1:
 
One of the characteristic measures for thermal processes. It shows the intensity of energy dissipation in the flow of a liquid or gas:
 
One of the characteristic measures for thermal processes. It shows the intensity of energy dissipation in the flow of a liquid or gas:
 +
$$
 +
\mathrm{St} = \frac{\alpha}{c_p \rho v}
 +
$$
 +
where $\alpha$ is the coefficient of heat emission, $c_p$ is the specific thermal capacity of the medium at constant pressure, $\rho$ is the density, and $v$ is the velocity of the flow.
  
−
<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>
+
The Stanton number is related to the [[Nusselt number]] $\mathrm{Nu}$ and the [[Péclet number]] $\mathrm{Pe}$ by the relation $\mathrm{St} = \mathrm{Nu} / \mathrm{Pe}$.
  
−
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 named after Th. Stanton.
  
−
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" />.
+
{{TEX|done}}
−
 
 
−
The Stanton number is named after Th. Stanton.
 

Revision as of 21:27, 12 December 2016

One of the characteristic measures for thermal processes. It shows the intensity of energy dissipation in the flow of a liquid or gas: $$ \mathrm{St} = \frac{\alpha}{c_p \rho v} $$ where $\alpha$ is the coefficient of heat emission, $c_p$ is the specific thermal capacity of the medium at constant pressure, $\rho$ is the density, and $v$ is the velocity of the flow.

The Stanton number is related to the Nusselt number $\mathrm{Nu}$ and the Péclet number $\mathrm{Pe}$ by the relation $\mathrm{St} = \mathrm{Nu} / \mathrm{Pe}$.

The Stanton number is named after Th. Stanton.

How to Cite This Entry:
Stanton number. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Stanton_number&oldid=14938
This article was adapted from an original article by Material from the article "Stanton number" in BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article
Retrieved from "https://encyclopediaofmath.org/index.php?title=Stanton_number&oldid=39988"