Conserved variable diagram: Difference between revisions
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<div class="definition"><div class="short_definition">A [[thermodynamic diagram]] for the [[atmosphere]] used for studying [[cloud]] processes.</div><br/> <div class="paragraph">One conserved [[variable]] representing [[heat]] or [[temperature]] is usually plotted along the [[abscissa]], while the another conserved variable representing the conservation of water is plotted along the [[ordinate]]. The variables are chosen to be those that are conserved for both saturated and unsaturated motion. Examples of conserved variables are [[equivalent potential temperature]] θ<sub>''e''</sub>, [[liquid water potential temperature]] θ<sub>''L''</sub>, [[moist static energy]] ''s''<sub>''e''</sub>, [[liquid water static energy]] ''s''<sub>''L''</sub>, [[total water mixing ratio]] ''r''<sub>''T''</sub>, [[saturation point]] pressure ''P''<sub>''SP''</sub>, and saturation point temperature ''T''<sub>''SP''</sub>. These variables are not conserved for processes such as [[precipitation]], [[radiative cooling]], and [[mixing]]. When a third variable representing height ''z'' or [[pressure]] ''P'' is also indicated in the diagram, then there is enough information to define completely the thermodynamic state and [[water content]] of the air. Examples of popular sets of variables are (''P'', θ<sub>''e''</sub>,''r''<sub>''T''</sub>), (''P'', θ<sub>''L''</sub>, ''r''<sub>''T''</sub>), (''P'', ''s''<sub>''e''</sub>, ''r''<sub>''T''</sub>), (''P'', ''s''<sub>''L''</sub>, ''r''<sub>''T''</sub>), and (''P'','' P''<sub>''SP''</sub>, ''T''<sub>''SP''</sub>).</div><br/> </div><div class="reference">Bohren, C. F., and B. A. Albrecht 1998. Atmospheric Thermodynamics. 402 pp. </div><br/> | <div class="definition"><div class="short_definition">A [[thermodynamic diagram]] for the [[atmosphere]] used for studying [[cloud]] processes.</div><br/> <div class="paragraph">One conserved [[variable]] representing [[heat]] or [[temperature]] is usually plotted along the [[abscissa]], while the another conserved variable representing the conservation of water is plotted along the [[ordinate]]. The variables are chosen to be those that are conserved for both saturated and unsaturated motion. Examples of conserved variables are [[equivalent potential temperature]] θ<sub>''e''</sub>, [[liquid water potential temperature|liquid water potential temperature]] θ<sub>''L''</sub>, [[moist static energy]] ''s''<sub>''e''</sub>, [[liquid water static energy]] ''s''<sub>''L''</sub>, [[total water mixing ratio|total water mixing ratio]] ''r''<sub>''T''</sub>, [[saturation point]] pressure ''P''<sub>''SP''</sub>, and saturation point temperature ''T''<sub>''SP''</sub>. These variables are not conserved for processes such as [[precipitation]], [[radiative cooling]], and [[mixing]]. When a third variable representing height ''z'' or [[pressure]] ''P'' is also indicated in the diagram, then there is enough information to define completely the thermodynamic state and [[water content]] of the air. Examples of popular sets of variables are (''P'', θ<sub>''e''</sub>,''r''<sub>''T''</sub>), (''P'', θ<sub>''L''</sub>, ''r''<sub>''T''</sub>), (''P'', ''s''<sub>''e''</sub>, ''r''<sub>''T''</sub>), (''P'', ''s''<sub>''L''</sub>, ''r''<sub>''T''</sub>), and (''P'','' P''<sub>''SP''</sub>, ''T''<sub>''SP''</sub>).</div><br/> </div><div class="reference">Bohren, C. F., and B. A. Albrecht 1998. Atmospheric Thermodynamics. 402 pp. </div><br/> | ||
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Latest revision as of 15:41, 25 April 2012
conserved variable diagram
One conserved variable representing heat or temperature is usually plotted along the abscissa, while the another conserved variable representing the conservation of water is plotted along the ordinate. The variables are chosen to be those that are conserved for both saturated and unsaturated motion. Examples of conserved variables are equivalent potential temperature θe, liquid water potential temperature θL, moist static energy se, liquid water static energy sL, total water mixing ratio rT, saturation point pressure PSP, and saturation point temperature TSP. These variables are not conserved for processes such as precipitation, radiative cooling, and mixing. When a third variable representing height z or pressure P is also indicated in the diagram, then there is enough information to define completely the thermodynamic state and water content of the air. Examples of popular sets of variables are (P, θe,rT), (P, θL, rT), (P, se, rT), (P, sL, rT), and (P, PSP, TSP).
Bohren, C. F., and B. A. Albrecht 1998. Atmospheric Thermodynamics. 402 pp.
