| GENERAL SECOND ORDER FLUID FLOW IN A PIPE |
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| 引用本文： | 何光渝,黄军旗,刘慈群. GENERAL SECOND ORDER FLUID FLOW IN A PIPE[J]. 应用数学和力学(英文版), 1995, 16(9): 825-831. DOI: 10.1007/BF02458607 |
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| 作者姓名： | 何光渝 黄军旗 刘慈群 |
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| 作者单位： | He Guangyu (Department of Petroleum Engineering，Xi'an Petroleum Institute，Xi'an 710061，P.R. China)Huang Junqi Department of Resources and Environmental Sciences. Beijing Normal University，Beijing 100875，P. R. China)Liu Ciqun (Institute of Porous Flow |
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| 摘 要： | ＧＥＮＥＲＡＬＳＥＣＯＮＤＯＲＤＥＲＦＬＵＩＤＦＬＯＷＩＮＡＰＩＰＥＨｅＧｕａｎｇｙｕ（何光渝）（ＤｅｐａｒｔｍｅｎｔｏｆＰｅｔｒｏｌｅｕｍＥｎｇｉｎｅｅｒｉｎｇ，Ｘｉ＇ａｎＰｅｔｒｏｌｅｕｍＩｎｓｔｉｔｕｔｅ，Ｘｉ＇ａｎ７１００６１，Ｐ．Ｒ．Ｃｈｉ...
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General second order fluid flow in a pipe |
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| Guangyu,He,Junqi,Huang,Ciqun,Liu. General second order fluid flow in a pipe[J]. Applied Mathematics and Mechanics(English Edition), 1995, 16(9): 825-831. DOI: 10.1007/BF02458607 |
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| Authors: | Guangyu He Junqi Huang Ciqun Liu |
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| Affiliation: | (1) Department of Petroleum Engineering, Xián Petroleum Institute, 710061 Xián, P.R. China;(2) Department of Resources and Environmental Sciences, Beijing Normal University, 100875 Beijing, P. R. China;(3) Institute of Porous Flow and Fluid Mechanics, Academia Sinica, 102801 Langfang, P.R. China |
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| Abstract: | It is more satisfactory for fluid materials between viscous and elastic to introducethe fractional calculus approach into the constitutive relationship. This paper employsthe fractional calculus approach to study second fluid flow in a paper. First, we derivethe analytical solution which the derivate order is half and then with the analyticalsolution we verify the reliability of Laplace numerical inversion based on Crumpalgouithm for the problem, and finally we analyze the characteristics of second orderfluid flow in a pipe by using Crump method. The results indicate that the more obviousthe viscoelastic properties of fluid is, the more sensitive the dependence of velocity andstress on fractional derivative order is. |
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| Keywords: | second order fluids. axial flow in a pipe integral transforrnation |
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