Differential graded category: Difference between revisions

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In [[Thermodynamics]], the '''thermal effusivity''' of a material is defined as the square root of the product of the material's [[thermal conductivity]] and its [[volumetric heat capacity]].<ref>http://www.evitherm.org/default.asp?ID=277</ref>
 
:<math>e = {(k\rho c_p)}^{1/2}</math>
 
Here, '''k''' is the thermal conductivity, '''<math>\rho</math>''' is the [[density]] and '''<math>c_p</math>''' is the [[specific heat capacity]]. The product of '''<math>\rho</math>''' and '''<math>c_p</math>''' is known as the '''volumetric heat capacity'''.
 
A material's thermal effusivity is a measure of its ability to exchange [[thermal energy]] with its surroundings.
 
If two semi-infinite bodies initially at temperatures '''T<sub>1</sub>''' and '''T<sub>2</sub>''' are brought in perfect thermal contact, the temperature at the contact surface '''T<sub>m</sub>''' will be given by their relative effusivities. <ref>H. D. Baehr and K. Stephan, ''Wärme- und Stoffübertragung 4. Auflage'', Springer,  (2004), p 172, ISBN 3-540-40130-X </ref>
 
:<math>T_m = T_1 + (T_2-T_1){e_2 \over (e_2+e_1)}</math>
 
This expression is valid for all times for semi-infinite bodies in perfect thermal contact. It is also a good first guess for the initial contact temperature for finite bodies. 
 
==See also ==
 
* [[heat capacity]]
* [[heat equation]]
* [[Laser Flash Analysis|laser flash analysis]]
* [[specific heat capacity]]
* [[thermal conductivity]]
* [[thermal diffusivity]]
* [[thermal inertia]]
 
==References==
<references />
 
==External links==
* [http://www.evitherm.org/default.asp?ID=277 A reference defining various thermal properties]
* [http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/heatra.html Thermal heat transfer on HyperPhysics site]
 
[[Category:Thermodynamics]]
[[Category:Physical quantities]]
[[Category:Heat conduction]]

Revision as of 02:06, 4 February 2014

In Thermodynamics, the thermal effusivity of a material is defined as the square root of the product of the material's thermal conductivity and its volumetric heat capacity.[1]

e=(kρcp)1/2

Here, k is the thermal conductivity, ρ is the density and cp is the specific heat capacity. The product of ρ and cp is known as the volumetric heat capacity.

A material's thermal effusivity is a measure of its ability to exchange thermal energy with its surroundings.

If two semi-infinite bodies initially at temperatures T1 and T2 are brought in perfect thermal contact, the temperature at the contact surface Tm will be given by their relative effusivities. [2]

Tm=T1+(T2T1)e2(e2+e1)

This expression is valid for all times for semi-infinite bodies in perfect thermal contact. It is also a good first guess for the initial contact temperature for finite bodies.

See also

References

  1. http://www.evitherm.org/default.asp?ID=277
  2. H. D. Baehr and K. Stephan, Wärme- und Stoffübertragung 4. Auflage, Springer, (2004), p 172, ISBN 3-540-40130-X

External links