Temperature lapse rates at restricted thermodynamic equilibrium. Part II: Saturated air and further discussions
2016 (English)In: Dynamics of atmospheres and oceans (Print), ISSN 0377-0265, E-ISSN 1872-6879, Vol. 73, 76-86 p.Article in journal (Refereed) PublishedText
In the first part of this work equilibrium temperature profiles in fluid columns with ideal gas or ideal liquid were obtained by numerically minimizing the column energy at constant entropy, equivalent to maximizing column entropy at constant energy. A minimum in internal plus potential energy for an isothermal temperature profile was obtained in line with Gibbs' classical equilibrium criterion. However, a minimum in internal energy alone for adiabatic temperature profiles was also obtained. This led to a hypothesis that the adiabatic lapse rate corresponds to a restricted equilibrium state, a type of state in fact discussed already by Gibbs. In this paper similar numerical results for a fluid column with saturated air suggest that also the saturated adiabatic lapse rate corresponds to a restricted equilibrium state. The proposed hypothesis is further discussed and amended based on the previous and the present numerical results and a theoretical analysis based on Gibbs' equilibrium theory.
Place, publisher, year, edition, pages
Elsevier, 2016. Vol. 73, 76-86 p.
Adiabatic processes, Energy, Entropy, Temperature gradients, Thermodynamic equilibrium
IdentifiersURN: urn:nbn:se:kth:diva-187301DOI: 10.1016/j.dynatmoce.2016.01.003ISI: 000374368600006ScopusID: 2-s2.0-84957004016OAI: oai:DiVA.org:kth-187301DiVA: diva2:929723
QC 201605192016-05-192016-05-192016-05-30Bibliographically approved