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I know an isotherm is a line of constant temperature. Isobar is a constant pressure line. Isentrope is a line of constant entropy.

But what do you call a line of constant volume? An Isochore? And what do you call a line of constant enthalpy? An "isenthalp"?

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But what do you call a line of constant volume? An Isochore?

Correct.

And what do you call a line of constant enthalpy?

The process is isenthalpic. More than one engineering/thermodynamic text I found by Googling indicates they are simply referred to as "isenthalpic lines." See this for example.

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    $\begingroup$ Logically, isenthalp would be the name for an isenthalpic line, but based on a quick Googling, the English world seems to be lagging the German world in this vocabulary innovation. $\endgroup$ – Curt F. Jul 10 '15 at 15:19
  • $\begingroup$ Agreed on all points @Curt F. $\endgroup$ – Todd Minehardt Jul 10 '15 at 15:24

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