Analytical solution of flow of second-order non-Newtonian fluids through annular pipes

This paper presents an analytical solution to the unsteady flow of the second-order non-Newtonian fluids by the use of intergral transformation method.Based on the numerical results,the effect of non-Newtonian coefficient Hc and other parameters on the flow are analysed.It is shown that the annular flow has a shorter characteristic time than the general pipe flow while the correspondent velocity,average velocity have a(?)aller value for a given Hc.Else,when radii ratio keeps unchanged,the shear stress of inner wall of annular flow will change with the inner radius compared with the general pipe flow and is always smaller than that of the outer wall.     

幂律流体在分形介质中不定常椭圆渗流

以椭圆渗流模型为基础,得到了分形油藏中,垂直裂缝井的幂律型非牛顿流体的定常渗流的压力分布公式和产量公式;并用数值差分的方法研究了分形油藏中,垂直裂缝井的不定常渗流,分析了分形参数对不定常压力的影响;同时从平均质量守恒方程出发,得到了相应的不定常渗流的近似解析解。分析表明:用椭圆渗流模型研究垂直裂缝井的渗流,大大简化了渗流问题的复杂性。     

An analytical solution and analysis of characters for viscoelastic fluid flow in annular pipe

I.Introducti0nLuiCiqunandHuangJunqiI'I(l989),ZhuWeihuiandLuiCiquri1'l(l992)sequentiallystudiedtheaxialflowofsecondorderandMaxwellfluidsandanalyzedtheflowcharactersofthesefluids.Thispaperwillstudyunsteadyrotat0ryflowofsecondorderandMaxwellfluidsinannularpi…     

微结构孔隙介质的球对称弥散问题及其解

本文研究球对称弥散问题,模型中考虑了孔隙介质的微结构特征。这种微结构起着广义的吸附作用,在溶质的输运过程中有滞后效应。文中考虑了五种微结构模型,它们是均衡吸附模型,一阶线性动力吸附模型、板状、柱状和球粒结构模型。分别求得Laplace空间的解析解,用Stehfest的数值反演技术获得各种模型的溶质浓度分布,并对有关的影响因素进行了量值考查,对认识微结构模型的特性有帮助,可以作为地层排污、特殊条件下的石油开采及溶滤萃矿等工程设计的理论依据。     

MICROCOSMIC BOUND THEOREM OF DAYCY＇S LAW AND ITS APPLICATION

By combining Chapman-Enskog expansion with the BGK approximation to Baltzmann equation and Navier-Stokes equation was obtained. And an expression of Darcy‘ s law was obtained through taking variable average over Navier-Stokes equation on some representative space in porous media, and finally an example was taken to prove its reliability.     

GENERAL SECOND ORDER FLUID FLOW IN A PIPE

ＧＥＮＥＲＡＬＳＥＣＯＮＤＯＲＤＥＲＦＬＵＩＤＦＬＯＷＩＮＡＰＩＰＥＨｅＧｕａｎｇｙｕ（何光渝）（ＤｅｐａｒｔｍｅｎｔｏｆＰｅｔｒｏｌｅｕｍＥｎｇｉｎｅｅｒｉｎｇ，Ｘｉ＇ａｎＰｅｔｒｏｌｅｕｍＩｎｓｔｉｔｕｔｅ，Ｘｉ＇ａｎ７１００６１，Ｐ．Ｒ．Ｃｈｉ...     

含水层中对流-扩散传热问题

自七十年代初,世界上一些国家(如美国,法国和瑞士等)相继开展了地下含水层储热储冷的研究工作.我国广泛地进行"冬灌夏用"地下水的现场实验,积累了丰富的地下储冷经验.但都需要从理论上回答诸如含水层的温度 ...     

ANALYTICAL SOLUTIONS FOR EQUATIONS OF UNSTEADY FLOW OF NON-NEWTONIAN FLUIDS IN TUBE

This paper presents analytical solutions to the partial differential equations forunsteady flow of the second-order fluid and Maxwell fluid in tube by using the integraltransform method.It can be used to analyse the behaviour of axial velocity and shear stressfor unsteady flow of non-Newtonian visco-elastic fluids in tube,and to provide a theoreticalbase for the projection of pipe-line engineering.     

ANALYTICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS FOR RADIAL TRANSPORT OF A SOLUTE IN DOUBLE POROUS MEDIA

The mathematical model for radial transport of a solute is summed up in this paper.The action of non-equilibrium linear adsorption,the double property of porous media andthe decay of solute are considered.With the first kind of boundary condition,one finds theanalytical solution of these equations by Laplace transform and calculates thedimensionless solution by FORTRAN program with DJS-040.The distribution and changeof solute are evaluated and the solution under various limit cases is given.By numericalanalysis,one obtains some valuable conclusions.     

3-D Fracture Propagation Simulation and Production Prediction in Coalbed

NｏｍｅｎｃｌａｔｕｒｅＡ(ｘ,ｔ)—Ｃｒｏｓｓ＿ｓｅｃｔｉｏｎａｒｅａｏｆｆｒａｃｔｕｒｅａｔｔｉｍｅｔａｎｄｓｉｔｅｘ,ｍ2 ;Ｂｇ,Ｂｗ —Ｃｏａｌｂｅｄｇａｓａｎｄｗａｔｅｒｖｏｌｕｍｅｆａｃｔｏｒ,ｄｉ ｍｅｎｓｉｏｎｌｅｓｓ;ｂ—Ｌａｎｇｍｕｉｒｆａｃｔｏｒ,(ＭＰａ) - 1 ;Ｃｇ,ＣＲ,Ｃｗ —Ｃｏａｌｂｅｄｇａｓ,ｒｏｃｋａｎｄｗａｔｅｒｃｏｍ ｐｒｅｓｓｉｂｉｌｉｔｙｃｏｅｆｆｉｃｉｅｎｔ,(ＭＰａ) - 1 ;Ｃｐ —Ｓａｎｄｒａｔｉｏ ,ｄｉｍｅｎｓｉｏｎｌｅｓｓ;Ｃｔ(ｘ ,ｔ)—Ｔｏｔａｌｆｒａｃｔｕｒｉｎ…