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链状分子状态方程的推导及热容的推算

New Perturbation Theory Model for Chain- like Molecule Fluid and the Predicted Heat Capacity

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【作者】 梁世强张秉坚路映红胡文暄金之钧

【Author】 Liang Shi- Qiang1 Zhang Bing- Jian1 Lu Ying- Hong1 Hu Wen- Xuan2 Jin Zhi- Jun3 ( 1Department of Chemistry,Zhejiang University,Hangzhou 310027; 2Department of Earth Sciences,Nanjing University,Nanjing 210093; 3Basin and Reservoir Research Center,China

【机构】 浙江大学化学系!杭州310027南京大学地球科学系!南京210093石油大学盆地与油藏研究中心!北京102200

【摘要】 在 Barker- Henderson, Zhang以及 Wertheim等微扰理论的基础上 ,以方阱势硬球流体为参考体系 ,将 Zhang的解析表达方法与 Wertheim的链成键自由能的处理方法结合起来 ,推导出自由链接的链状分子流体的 Helmholtz自由能的解析表达式 ,并得到了压缩因子、内能、恒容热容等热力学性质的计算式 .计算结果与 MC(Monte Carlo)模拟结果吻合良好 .对 Zhang的解析表达式与 " TPT- D" (二阶 Wertheim微扰理论 )的结合也作了推导和计算 .

【Abstract】 A model for the freely jointed square well chain fluid is developed based on the thermodynamic perturbation theory of Barker- Henderson,Zhang and Wertheim.The analytic representations of square- well monomer by Zhang are extended to obtain a series of representations for thermodynamic properties of square- well chain fluids using the incorporating structural information for square- well monomer of Wertheim’s TPT1 model.The same work has been done using incorporating structural information for the diatomic square- well fluid of TPT- D model.The calculated results of compressibility factor,residual internal energy and constant- volume heat capacity of 4- mer,8- mer and 16- mer chain fluids are tested against the MC results and a careful comparison between the model from TPT1 and that from TPT- D has been made.The former agree with MC results much better than the later,especially for internal energy.To obtain the constant- volume heat capacity,NVT MC simulations have been performed.

【基金】 国家重点基础发展规划(973)项目! (G1999043309);国家自然科学基金资助项目! (29977018)&&
  • 【文献出处】 物理化学学报 ,Acta Physico-chimica Sinica , 编辑部邮箱 ,2001年05期
  • 【分类号】O642
  • 【被引频次】1
  • 【下载频次】115
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