Volume 6, Issue 6, November 2018, Page: 171-176
An Equation for the Adsorption Under Variable Temperature and Pressure Condition
Li Dong, Energy & Chemical Engineering Research Center, Xi’an Siyuan University, Xi’an, China
Hao Jingyuan, Energy & Chemical Engineering Research Center, Xi’an Siyuan University, Xi’an, China
Ma Qinghua, Energy & Chemical Engineering Research Center, Xi’an Siyuan University, Xi’an, China
Zhang Xuemei, Energy & Chemical Engineering Research Center, Xi’an Siyuan University, Xi’an, China
Received: Oct. 9, 2018;       Accepted: Nov. 21, 2018;       Published: Dec. 19, 2018
DOI: 10.11648/j.ogce.20180606.17      View  104      Downloads  13
Abstract
A temperature-pressure-adsorption equation (TPAE) has been introduced to treat accurately the adsorption under variable temperature and pressure of 4 coal seams with different ranks. The TPAE has four parameters, two parameters (A, B) relate the testing coal properties, one parameter ∆ relates temperature influence, one parameter β relate to pressure influence. All necessary pieces information, such as adsorption, partial differential of temperature, partial differential of pressure, and complete differential, can be accurately calculated. When temperature effect ∆ and pressure effect β of coal sample has been measured and under certain temperature and pressure conditions, maximum adsorption occurs and inter-related to coal metamorphism (Vitrines maximum reflectivity). The accuracy of TPAE, regarding the fitting of the adsorption under variable temperature and pressure of 4 coal seams with different ranks, has been verified either with the average relative error or with pictorial illustration. Since TPAE is an equation with triple variable (temperature, pressure, adsorption volume), its partial and full derivations, are conducted to interpret numerically why and how the temperature increasing has negative effect, but pressure increasing has positive effect. Furthermore, partial derivations of TPAE have shown that the temperature effect and pressure effect are intertwine. Finally, the “variable temperature and pressure adsorption” method has been suggested to replace the conventional series isothermal adsorption for the evaluation of adsorptive power of coal under a certain geological condition of temperature and pressure.
Keywords
Coal, Temperature-Pressure-Adsorption Equation (TPAE), Average Relative Error, Derivations, Variable Temperature and Pressure Adsorption
To cite this article
Li Dong, Hao Jingyuan, Ma Qinghua, Zhang Xuemei, An Equation for the Adsorption Under Variable Temperature and Pressure Condition, International Journal of Oil, Gas and Coal Engineering. Vol. 6, No. 6, 2018, pp. 171-176. doi: 10.11648/j.ogce.20180606.17
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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