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Difference between revisions of "Stanton number"

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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:
 
One of the characteristic measures for thermal processes. It shows the intensity of energy dissipation in the flow of a liquid or gas:
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$$
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\mathrm{St} = \frac{\alpha}{c_p \rho v}
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$$
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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.
  
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<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>
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The Stanton number is related to the [[Nusselt number]] $\mathrm{Nu}$ and the [[Péclet number]] $\mathrm{Pe}$ by the relation $\mathrm{St} = \mathrm{Nu} / \mathrm{Pe}$.
  
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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.
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The Stanton number is named after Th. Stanton.
  
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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" />.
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====References====
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* J. M. Kay, R. M. Nedderman, "An Introduction to Fluid Mechanics and Heat Transfer", 3rd ed., Cambridge University Press (1974) {{ISBN|0-521-20533-6}} {{ZBL|0293.76001}}
  
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The Stanton number is named after Th. Stanton.
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{{TEX|done}}

Latest revision as of 17:46, 14 November 2023

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.

References

  • J. M. Kay, R. M. Nedderman, "An Introduction to Fluid Mechanics and Heat Transfer", 3rd ed., Cambridge University Press (1974) ISBN 0-521-20533-6 Zbl 0293.76001
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
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