gernert_2013 ============ G\. J\. Gernert, "A New Helmholtz Energy Model for Humid Gases and CCS Mixtures", doctoral thesis, Ruhr\-Universität Bochum \(2013\) `Source record `__ · :doc:`Catalogue ` · :doc:`Review register ` No DOI is recorded. **Source kind:** fit **Recorded technique:** Fit\: a multi\-fluid Helmholtz\-energy model \(the GERG form\) for the fifteen binary mixtures of CO2, H2O, N2, O2, Ar and CO, with new departure functions for CO2\-H2O, CO2\-Ar and H2O\-N2, fitted to vapour\-liquid equilibrium, density, caloric and second virial data of the mixtures\. **Materials in structured entries:** None recorded. **Dataset quantities:** None recorded. **Contents:** 0 datasets; 0 formulas. Curation notes -------------- A doctoral thesis, without a DOI; identity ASSERTED by the library \(a public copy is hosted by NIST\)\. Printed page = pdf page \- 10 \(checked at pp\. 128\-130 and 198\)\. The library's extraction is PARTIAL \(pdf pages 4 and 220 empty\), and its text of Table 6\.1's header is garbled; that table was read from the pdf's text layer\. THE PAIRS \(Tables 2\.9\-2\.10, pp\. 24\-25\)\: all fifteen binaries of CO2, H2O, N2, O2, Ar and CO\. New departure functions\: CO2\-H2O, CO2\-Ar, H2O\-N2 \(H2O\-O2 and H2O\-CO reuse H2O\-N2's with a fitted F\)\. CO2\-N2's departure function, and the N2\-O2 and CO\-Ar parameters, are GERG\-2008's unchanged; O2\-CO is unfitted \(no data\)\. These are the pairs CoolProp names \`Gernert\-Thesis\-2013\`\. THE VIRIAL LIMITATION \(§5\.2\.4, pp\. 127\-130; checked in GPT\-6's review of OEP 4 and again by a reader, 2026\-09\-30\)\: the model's second virial coefficient as a function of composition 'is clearly not quadratic, which is again a result of the corresponding states approach' \(p\. 129\), and the quadratic mixing rule, Eq\. \(5\.11\), 'is not correctly reproduced by the model' \(p\. 130\)\. It is shown for H2O\-N2 \(Fig\. 5\.23\), with 'only a small influence' when the components' critical temperatures are similar \(p\. 130\)\. CROSS SECOND VIRIAL DATA \(Table A2\.1, p\. 198; deviations in cm^3/mol per its note a, though the column head reads %\)\: CO2\-Ar\: Bose and Cole 1970 \(5 points, 320\-322 K, none used, deviation 6\.169\), Cottrell et al\. 1956 \(3, none used\), Martin et al\. 1982 \(3, all used\), Schonmann 1971 \(3, all used\); 14 in all, 6 used \(Table 5\.3, p\. 95\)\. N2\-O2\: Fostiropoulos 1988 \(87\-475 K\), Gorski and Miller 1953 \(303 K\), Hall and Iglesias\-Silva 1994 \(188\-480 K\), Martin 1982 \(289\-319 K\), Wilson 1965 \(72\-144 K\)\. N2\-Ar\: Brewer and Vaughn 1969 \(123\-323 K\), Crain and Sonntag 1966 \(143\-273 K\), Dymond and Smith 1980 \(213\-474 K\), Elshayal and Lu 1975 \(353\-463 K\), Knobler 1959 \(90 K\), Martin \(289\-319 K\), Schramm and Mueller 1982 \(296 K\), Wilson 1965, Zandbergen and Beenakker 1967 \(170\-270 K\)\. O2\-Ar\: Martin \(289\-319 K\), Vatter et al\. 1996 \(296\-463 K\)\. The Elshayal and Lu reference is printed as an ethylene\-propane paper, apparently a citation error\. STATED UNCERTAINTY \(Table 6\.1, p\. 137\)\: density of the gas at reduced density below 0\.6\: N2\-O2 \< 0\.1 %, N2\-Ar \< 0\.5 %, O2\-Ar \< 1\.0 %, CO2\-N2 \< 0\.3 %, CO2\-Ar \< 0\.5 %, CO2\-O2 \< 1\.0 %; below 5 MPa, under 1 % expected \(p\. 137\)\. N2\-O2 is within \+\-0\.025 % below 7 MPa \(p\. 123\); O2\-Ar rests on Masson and Dolley's 1923 data at 298 K, reproduced within \+\-2 % with a \-1\.3 % offset \(p\. 125\)\. Nothing transcribed\. **Recorded bibliographic identity status:** ASSERTED. This concerns identification of the source; it does not establish the scientific correctness of its contents. Datasets -------- No datasets are recorded. Formulas -------- No formulas are recorded. Corrections ----------- No dataset errata are recorded in this source record. Formula corrections, where recorded, appear with their formulas above. Curation notes may also discuss corrections or unresolved interpretation. Consult the :doc:`review register ` for the checks and decisions.