Next Article in Journal
Experimental Investigation of Pore Structure and Movable Fluid Traits in Tight Sandstone
Next Article in Special Issue
A Novel Multiphase Methodology Simulating Three Phase Flows in a Steel Ladle
Previous Article in Journal
A Flexible Responsive Load Economic Model for Industrial Demands
Previous Article in Special Issue
Computational Fluid Dynamics (CFD) Simulations and Experimental Measurements in an Inductively-Coupled Plasma Generator Operating at Atmospheric Pressure: Performance Analysis and Parametric Study
Article Menu
Issue 3 (March) cover image

Export Article

Open AccessArticle
Processes 2019, 7(3), 148;

Multiphase Open Phase Processes Differential Equations

Department of Physical Chemistry, Saint-Petersburg State Technological Institute, Technical University, 26, Moskovskii prospekt, 190013 Saint-Petersburg, Russia
Department of Physical Chemistry, Saint-Pretersburg Electrotechnical University «LETI», 5, Professora Popova str., 197376 Saint-Petersburg, Russia
Department of Geochemistry, Saint-Petersburg State University, 7-9, Universitetskaya emb., 199034 Saint-Petersburg, Russia
Department of Solid State Chemistry, Saint-Petersburg State University, 26, Universitetskii prospect, Petergof, 198504 Saint-Petersburg, Russia
Mining and metallurgical Department, East Kazakhstan state technical University, 69, A.K. Protozanov Street, Ust-Kamenogorsk 070004, Kazakhstan
Authors to whom correspondence should be addressed.
Received: 31 January 2019 / Revised: 25 February 2019 / Accepted: 4 March 2019 / Published: 8 March 2019
(This article belongs to the Special Issue Multiphase Reaction Engineering, Reactors and Processes)
PDF [1993 KB, uploaded 8 March 2019]


The thermodynamic approach for the description of multiphase open phase processes is developed based on van der Waals equation in the metrics of Gibbs and incomplete Gibbs potentials. Examples of thermodynamic modeling of the multiphase and multicomponent A3B5 systems (In-Ga-As-Sb and In-P-As-Sb) and Na+, K+, Mg2+, Ca2+//Cl, SO42−-H2O water–salt system are presented. Topological isomorphism of different type phase diagrams is demonstrated. View Full-Text
Keywords: open phase process; van der Waals equation; phase equilibrium shift; Gibbs complete and incomplete potential; vector-matrix form open phase process; van der Waals equation; phase equilibrium shift; Gibbs complete and incomplete potential; vector-matrix form

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Charykov, N.A.; Charykova, M.V.; Semenov, K.N.; Keskinov, V.A.; Kurilenko, A.V.; Shaimardanov, Z.K.; Shaimardanova, B.K. Multiphase Open Phase Processes Differential Equations. Processes 2019, 7, 148.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Processes EISSN 2227-9717 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top