Equation of piezotropy

From Glossary of Meteorology
(Redirected from Piezotropy)



equation of piezotropy

(Also called physical equation.) An equation relating the thermodynamic variables in processes of a piezotropic fluid.

In its general form it expresses the density ρ as a function of the pressure p:
ams2001glos-Ee36
The derivative dρ/dp is called the coefficient of piezotropy. The most familiar such equation is that for polytropic changes of state in an ideal gas:
ams2001glos-Ee37
where λ is the modulus of the polytropic process. Prior to the discovery of the first law of thermodynamics in the midnineteenth century, the equation of piezotropy was used to complete the hydrodynamic equation set consisting of the equations of motion and the conservation of mass.


Copyright 2024 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact permissions@ametsoc.org. Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act (17 U.S. Code § 107) or that satisfies the conditions specified in Section 108 of the U.S.Copyright Act (17 USC § 108) does not require AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, require written permission or a license from AMS. Additional details are provided in the AMS Copyright Policy statement.