Analytical Prediction of Thermal Conductivity for Monatomic and Molecular Fluids

Details Analytical Prediction of Thermal Conductivity for Monatomic and Molecular Fluids Analytical Prediction of Thermal Conductivity for Monatomic and Molecular Fluids

Jan 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phdt........56w&link_type=abstract

Thesis (PH.D.)--THE UNIVERSITY OF NEW BRUNSWICK (CANADA), 1990.Source: Dissertation Abstracts International, Volume: 52-11, Sec

Statistics

Computation

Monatomic Fluids, Fluid Argon

Scientific paper

The statistical theory of Rice-Allnatt for the prediction of fluid thermal conductivity has not been extensively applied because the required derivative functions of the radial distribution function were not determinable with acceptable precision. In the present work, a new technique has been developed for the computation of these functions with high numerical precision. The technique has been evaluated by comparing the computed radial distribution function, as well as the thermodynamic properties of some fluids with the data from experiment and other numerical techniques. Excellent agreement was found with experiments for some simple fluids. Based upon this technique, the Rice-Allnatt theory was utilized to predict the thermal conductivity of dense fluid argon. Some errors were discovered in the theory and these have been rectified with physically meaningful corrections and the resulting Corrected- Rice-Allnatt theory (CRA) developed. Excellent agreement has been obtained between the thermal conductivity of argon predicted by the CRA theory and experimental data. The CRA theory has also been applied to some other monatomic fluids and polyatomic fluids for the dilute gases and isotherms remote from the critical point. Agreement is reasonable over a wide range of temperature and density. Besides the excellent precision of the CRA theory for both dense gas and liquid under normal state conditions, the critical enhancement for thermal conductivity has also been quantitatively predicted by the CRA theory for argon. This is the first time that the anomalous critical behavior has been predicted by a purely analytical method.

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