Environmental Earth Sciences

, Volume 70, Issue 8, pp 3497–3503

Partial derivatives of thermodynamic state properties for dynamic simulation

Special Issue

DOI: 10.1007/s12665-013-2394-z

Cite this article as:
Thorade, M. & Saadat, A. Environ Earth Sci (2013) 70: 3497. doi:10.1007/s12665-013-2394-z


The thermodynamic behaviour of fluids can be accurately described by equations of state (EoS) in terms of the Helmholtz energy, with temperature and density as independent variables. The known properties in dynamic simulations of power or refrigeration cycles are usually different from temperature and density. Partial derivatives of state properties with respect to the known properties of the simulation have to be transformed into partial derivatives with respect to the independent variables of the EoS. This transformation is demonstrated step by step for the single-phase region, along the saturation line and within the two-phase region.


Thermodynamic properties Helmholtz energy Partial derivatives Dynamic simulation 

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Helmholtz Centre Potsdam, GFZ German Research Centre for GeosciencesPotsdamGermany

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