Equation of piezotropy

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<div class="definition"><div class="short_definition">(''Also called'' physical equation.) An equation relating the [[thermodynamic  variables]] in processes of a piezotropic fluid.</div><br/> <div class="paragraph">In its general form it expresses the [[density]] &#x003c1; as a function of the [[pressure]] ''p'':  <div class="display-formula"><blockquote>[[File:ams2001glos-Ee36.gif|link=|center|ams2001glos-Ee36]]</blockquote></div> The derivative ''d''&#x003c1;/''dp'' is called the [[coefficient of piezotropy]]. The most familiar such equation is  that for polytropic changes of state in an [[ideal gas]]:  <div class="display-formula"><blockquote>[[File:ams2001glos-Ee37.gif|link=|center|ams2001glos-Ee37]]</blockquote></div> where &#x003bb; 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]].</div><br/> </div>
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<div class="definition"><div class="short_definition">(''Also called'' physical equation.) An equation relating the [[state variable|thermodynamic  variables]] in processes of a piezotropic fluid.</div><br/> <div class="paragraph">In its general form it expresses the [[density]] &#x003c1; as a function of the [[pressure]] ''p'':  <div class="display-formula"><blockquote>[[File:ams2001glos-Ee36.gif|link=|center|ams2001glos-Ee36]]</blockquote></div> The derivative ''d''&#x003c1;/''dp'' is called the [[coefficient of piezotropy]]. The most familiar such equation is  that for polytropic changes of state in an [[ideal gas]]:  <div class="display-formula"><blockquote>[[File:ams2001glos-Ee37.gif|link=|center|ams2001glos-Ee37]]</blockquote></div> where &#x003bb; is the [[modulus]] of the [[polytropic process]]. Prior to the discovery of the [[first law of thermodynamics|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|conservation of  mass]].</div><br/> </div>
 
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Latest revision as of 17:54, 25 April 2012


[edit] 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.

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