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Numerical properties of equations involving high-order derivatives of pressure with respect to volume

Claude F. Leibovici and Dan Vladimir Nichita

CFL Consultant, H√©lioparc, 2 Avenue Pierre Angot, 64053 Pau Cedex, France

 

E-mail: cfl-consultant@club-internet.fr

Received: 18 June 2009  Revised: 20 July 2009  Accepted: 22 July 2009

Abstract: This paper presents some unexpected features related to the solution of equations containing a high-order derivative of pressure with respect to volume equated to zero. For pure components, such equations define, in the pressure-temperature plane, nodal curves similar in shape to mixture spinodal curves. The analysis was made for a general form of two-parameter cubic equations of state and various numerical aspects for the Redlich-Kwong equation of state are exemplified.

Keywords: cubic equations of state - high order derivatives of pressure with respect to volume - geometric locus - nodal curves

Full paper is available at www.springerlink.com.

DOI: 10.2478/s11696-009-0094-7

 

Chemical Papers 64 (1) 106–113 (2010)

Thursday, June 20, 2024

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