USE OF INTERPOLATION THEORY IN THE ANALYSIS OF GAS ADSORPTION ISOTHERMS: I. THEORY

1955 ◽  
Vol 33 (2) ◽  
pp. 193-202 ◽  
Author(s):  
J. M. Honig ◽  
P. C. Rosenbloom
Keyword(s):  
Adsorption Isotherms ◽  
Adsorption Process ◽  
Gas Adsorption ◽  
Upper Bounds ◽  
Interpolation Theory ◽  
Lower And Upper Bounds ◽  
Physical Quantities ◽  
Adsorbent System ◽  
Quantities Of Interest

The theory presented in this paper permits the determination of extremal bounds for a given adsorbate–adsorbent system within which the adsorption isotherms must fall if certain assumptions pertaining to the nature of the adsorption process are applicable. The use of interpolation theory in estimating lower and upper bounds on physical quantities of interest in adsorption theory is also discussed.

scholarly journals Adsorption isotherms and nucleation of methane and ethane on an analog of Titan’s photochemical aerosols

2019 ◽  
Vol 631 ◽  
pp. A151 ◽  
Author(s):  
P. Rannou ◽  
D. Curtis ◽  
M. A. Tolbert
Keyword(s):  
Adsorption Isotherms ◽  
Planetary Atmospheres ◽  
Cloud Formation ◽  
Condensed Phases ◽  
Desorption Energy ◽  
Saturation Ratio ◽  
Cloud Models ◽  
Physical Quantities ◽  
Adsorption Of Methane

In planetary atmospheres, adsorption of volatile molecules occurs on aerosols prior to nucleation and condensation. Therefore, the way adsorption occurs affects the subsequent steps of cloud formation. In the classical theory of heterogeneous nucleation, several physical quantities are needed for gas condensing on a substrate like aerosols, such as the desorption energies of the condensing gases on the substrate and the wetting parameters of the condensed phases on the substrate. For most planetary atmospheres, the values of such quantities are poorly known. In cloud models, these values are often approximately defined from more or less similar cases or simply fixed to reproduce macroscopic observable quantities such as cloud opacities. In this work, we used the results of a laboratory experiment in which methane and ethane adsorption isotherms on tholin, an analog of photochemical aerosols, are determined. This experiment also permits determination of the critical saturation ratio of nucleation. With this information we then retrieved the desorption energies of methane and ethane, which are the quantitative functions describing the adsorption isotherms and wetting parameters of these two condensates on tholin. We find that adsorption of methane on tholin is well explained by a Langmuir isotherm and a desorption energy ΔFo = 1.519 ± 0.0715 × 10−20 J. Adsorption of ethane tholin can be represented by a Brunauer-Emmett-Teller isotherm of type III. The desorption energy of ethane on tholin that we retrieved is ΔFo = 2.35 ± 0.03 × 10−20 J. We also determine that the wetting coefficients of methane and ethane on tholin are m = 0.994 ± 0.001 and m = 0.966 ± 0.007, respectively. Although these results are obtained from experiments representative of the Titan case, they are also of general value in cases of photochemical aerosols in other planetary atmospheres.

scholarly journals Assessment of Relevant Physical Phenomena Controlling Thermal Performance of Nanofluids

2006 ◽  
Author(s):  
M. Bahrami ◽  
M. M. Yovanovich ◽  
J. R. Culham
Keyword(s):  
Experimental Data ◽  
Systematic Approach ◽  
Large Degree ◽  
Upper Bounds ◽  
Upper And Lower Bounds ◽  
Theoretical Studies ◽  
Lower And Upper Bounds ◽  
Physical Phenomena ◽  
Experimental And Theoretical Studies

This paper provides an overview of the important physical phenomena necessary for the determination of effective thermal conductivity of nanofluids. Through an investigation, a large degree of randomness and scatter has been observed in the experimental data published in the open literature. Given the inconsistency in the data, it is impossible to develop a comprehensive physical-based model that can predict all the trends. This also points out the need for a systematic approach in both experimental and theoretical studies. Upper and lower bounds are developed for steady-state conduction in stationary nanofluids. Comparisons between these bounds and the experimental data indicate that all the data (except for carbon nanotube data) lie between the lower and upper bounds.

Experimental Determination of the CH4 and CO2 Pure Gas Adsorption Isotherms on Different Activated Carbons

2018 ◽  
Vol 63 (8) ◽  
pp. 3027-3034 ◽  
Author(s):  
Deneb Peredo-Mancilla ◽  
Cecile Hort ◽  
Mejdi Jeguirim ◽  
Camelia Matei Ghimbeu ◽  
Lionel Limousy ◽  
...  
Keyword(s):  
Experimental Determination ◽  
Adsorption Isotherms ◽  
Gas Adsorption ◽  
Activated Carbons

scholarly journals Determination of lower and upper bounds of predicted production from history-matched models

2016 ◽  
Vol 20 (5) ◽  
pp. 1061-1073 ◽  
Author(s):  
G. M. van Essen ◽  
S. Kahrobaei ◽  
H. van Oeveren ◽  
P. M. J. Van den Hof ◽  
J. D. Jansen
Keyword(s):  
Upper Bounds ◽  
Lower And Upper Bounds
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