Math 2.0

Classical thermodynamics, heat transfer Definition

Thermal contact conductance

Builds on Steady-state heat conductionHeat fluxTemperatureThermal resistance

Definition

Let two solids touch along an interface, and let heat cross the interface in steady state with normal heat flux qq. Let ΔT≠0\Delta T \ne 0 be the jump of temperature across the interface, obtained by extrapolating the temperature profile of each solid to the interface. The thermal contact conductance is hc=qΔT.h_c = \frac{q}{\Delta T}. Its unit is W m−2 K−1\mathrm{W \, m^{-2} \, K^{-1}}.

Remarks

The reciprocal 1/hc1 / h_c is the contact thermal resistance of a unit area, and it adds in series to the resistances of the two solids.

Example: a flux of 10410^4 watts per square metre crosses a joint, and the profiles extrapolate to 50.050.0 and 49.549.5 degrees Celsius at the interface. Then ΔT=0.5\Delta T = 0.5 kelvin and hc=104/0.5=2⋅104h_c = 10^4 / 0.5 = 2 \cdot 10^4 watts per square metre per kelvin.

Non-example: two pieces of one solid joined by perfect welding show no temperature jump. Then ΔT=0\Delta T = 0, and no contact conductance is defined; the interface adds no resistance.

Reading path

To understand this page from the ground up, read these 5 pages in order. The foundations come first.

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Each page uses the pages above it. The colour of the bar on a box shows how strong the evidence is, and the box also gives it as text. The list has the same pages.
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  1. Heat flux concept
  2. Steady-state heat conduction concept
  3. Temperature concept
  4. Thermal resistance concept
  5. Thermal contact conductance definition

Further reading

  1. Web https://en.wikipedia.org/wiki/Thermal_contact_conductance
About this page
TagJ5A74CC27Z
URIm2://J5A74CC27Z
Kinddefinition
WritingW0 stub
MSC80A19
DefinesThermal contact conductance
UsesSteady-state heat conduction, Heat flux, Temperature, Thermal resistance
Changed3 November 2026

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