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Difference between revisions of "Nusselt number"

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A dimension-less parameter characterizing the intensity of convective heat exchange between the surface of a body and the flow of a gas (fluid): <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/n/n067/n067980/n0679801.png" />, where <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/n/n067/n067980/n0679802.png" /> is the coefficient of heat exchange, <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/n/n067/n067980/n0679803.png" /> is the amount of heat radiated (or received) by the surface of the body in unit time, <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/n/n067/n067980/n0679804.png" /> is the difference between the temperature of the surface of the body and that of the gas (fluid) outside the boundary layer, <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/n/n067/n067980/n0679805.png" /> is the area of the surface, <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/n/n067/n067980/n0679806.png" /> is the characteristic length, and <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/n/n067/n067980/n0679807.png" /> is the coefficient of heat conductivity of the gas (fluid).
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A dimension-less parameter characterizing the intensity of convective heat exchange between the surface of a body and the flow of a gas (fluid): $\mathrm{Nu}=\alpha l/\lambda$, where $\alpha=Q/S\Delta T$ is the coefficient of heat exchange, $Q$ is the amount of heat radiated (or received) by the surface of the body in unit time, $\Delta T>0$ is the difference between the temperature of the surface of the body and that of the gas (fluid) outside the boundary layer, $S$ is the area of the surface, $l$ is the characteristic length, and $\lambda$ is the coefficient of heat conductivity of the gas (fluid).
  
 
It is named after W. Nusselt.
 
It is named after W. Nusselt.
 
 
 
====Comments====
 
 
  
 
====References====
 
====References====
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  E.U. Condon,   "Heat transfer"  E.U. Condon (ed.)  H. Odishaw (ed.) , ''Handbook of Physics'' , McGraw-Hill  (1967)  pp. §5.5.7–5.5.8</TD></TR><TR><TD valign="top">[a2]</TD> <TD valign="top">  E.R.G. Eckert,   "Introduction to the transfer of heat and mass" , McGraw-Hill (1950)</TD></TR></table>
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<table>
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<TR><TD valign="top">[a1]</TD> <TD valign="top">  E.U. Condon, "Heat transfer"  E.U. Condon (ed.)  H. Odishaw (ed.), ''Handbook of Physics'', McGraw-Hill  (1967)  pp. §5.5.7–5.5.8</TD></TR>
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<TR><TD valign="top">[a2]</TD> <TD valign="top">  E.R.G. Eckert, "Introduction to the transfer of heat and mass", McGraw-Hill (1950)</TD></TR>
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</table>

Latest revision as of 15:07, 10 April 2023

A dimension-less parameter characterizing the intensity of convective heat exchange between the surface of a body and the flow of a gas (fluid): $\mathrm{Nu}=\alpha l/\lambda$, where $\alpha=Q/S\Delta T$ is the coefficient of heat exchange, $Q$ is the amount of heat radiated (or received) by the surface of the body in unit time, $\Delta T>0$ is the difference between the temperature of the surface of the body and that of the gas (fluid) outside the boundary layer, $S$ is the area of the surface, $l$ is the characteristic length, and $\lambda$ is the coefficient of heat conductivity of the gas (fluid).

It is named after W. Nusselt.

References

[a1] E.U. Condon, "Heat transfer" E.U. Condon (ed.) H. Odishaw (ed.), Handbook of Physics, McGraw-Hill (1967) pp. §5.5.7–5.5.8
[a2] E.R.G. Eckert, "Introduction to the transfer of heat and mass", McGraw-Hill (1950)
How to Cite This Entry:
Nusselt number. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Nusselt_number&oldid=14981
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article