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The rate of change of temperature  with respect to pressure  in a throttling process:


\epsilon_{JT} = \left( \frac{\partial T}{\partial P} \right)_{H} = \frac{\alpha_V \cdot T - 1}{c_{vp}}

where

Temperature

Thermal expansion coefficient

Isobaric volumetric heat capacity


For the Ideal Gas and  Joule–Thomson coefficient is strictly zero: .

In case of general Fluid and the temperature  where  is called Inversion Temperature.

The Fluid above Inversion Temperature  has negative Joule–Thomson coefficient   and hence will be cooling under expansion ().

The Fluid below Inversion Temperature  has positive Joule–Thomson coefficient   and hence will be warming under expansion ().

See also


Physics / Thermodynamics / Thermodynamic process / Throttling Temperature Effect