The long wave stability of core-annular flow of power-law fluids with an axial pressure gradient is investigated at low Reynolds number. The interface between the two fluids is populated with an insoluble surfactant. ...The long wave stability of core-annular flow of power-law fluids with an axial pressure gradient is investigated at low Reynolds number. The interface between the two fluids is populated with an insoluble surfactant. The analytic solution for the growth rate of perturbation is obtained with long wave approximation. We are mainly concerned with the effects of shear-thinning/thickening property and interfacial surfactant on the flow stability. The results show that the influence of shear-thinning/thickening property accounts to the change of the capillary number. For a clean interface, the shear-thinning property enhances the capillary instability when the interface is close to the pipe wall. The converse is true when the interface is close to the pipe centerline. For shear-thickening fluids, the situation is reversed. When the interface is close to the pipe centerline, the capillary instability can be restrained due to the influence of surfactant. A parameter set can be found under which the flow is linearly stable.展开更多
A theoretical model is developed for the vibration and stability of a vertical pipe subjected concurrently to two dependent axial flows. The external fluid, after exiting the outer annular region between the pipe and ...A theoretical model is developed for the vibration and stability of a vertical pipe subjected concurrently to two dependent axial flows. The external fluid, after exiting the outer annular region between the pipe and a rigid cylindrical channel, is conveyed upwards inside the pipe. This configuration thus resembles of a pipe that aspirating fluid. The equation of planar mo- tion is solved by means of the differential quadrature method (DQM). Calculations are conducted for a slender drill-string-like and a bench-top-size system, for different confinement conditions of the outer annular channel. It is shown that the vibrations of these two systems are closely related to the degree of confinement of the outer annular channel. For a drill-string-like system with narrow annuli, buckling instability may occur in the second and third modes. For a bench-top-size system, however, both buckling and flutter may occur in the lowest three modes. The form of instability depends on the annuli size.展开更多
The shear-thinning influence on the core-annular flow stability of two immiscible power-law fluids is considered by making a linear stability analysis.The flow is driven by an axial pressure gradient in a straight pip...The shear-thinning influence on the core-annular flow stability of two immiscible power-law fluids is considered by making a linear stability analysis.The flow is driven by an axial pressure gradient in a straight pipe with the interface between the two fluids occupied by an insoluble surfactant.Given the basic flow for this core-annular arrangement,the analytical solution is obtained with respect to the power-law fluid model.The linearized equations for the evolution of infinitesimal disturbances are derived and the stability problem is formulated as a generalized matrix eigenvalue problem,which is solved by using the software package Matlab based on the QZ algorithm.The shear-thinning property is found to have marked influence on the power-law fluid core-annular flow stability,which is reflected in various aspects.First,the capillary instability is magnified by the shear-thinning property,which may lead to an essential difference between power-law and Newtonian fluid flows.Especially when the interface is close to the pipe wall,the power-law fluid flow may be unstable while the Newtonian fluid flow is stable.Second,under disturbances to the interface a velocity discontinuity at the interface appears which is destabilizing to the flow.The magnitude of this velocity discontinuity is affected by the power-law index and the flow stability is influenced correspondingly.Besides,the shear-thinning property may induce new stability modes which do not appear in the Newtonian fluid flow.The flow stability shows much dependence on the interface location,the role of which was neglected in most previous studies.The shear-thinning fluid flow is more unstable to long wave disturbances when the interface is close to the pipe wall,while the Newtonian fluid flow is more unstable when the interface is close to the pipe centerline.But this trend is changed by the addition of interfacial surfactant,for which the power-law fluid flow is more stable no matter where the interface is located.展开更多
管内气液螺旋环状流动可以通过设置固定叶片的旋流器形成,旋流器的结构极大地影响了形成的螺旋环状流动的稳定性。对此,选取了四种典型旋流器结构开展三个典型来流工况下螺旋环状流形成的实验研究。通过图像处理结合概率密度函数(probab...管内气液螺旋环状流动可以通过设置固定叶片的旋流器形成,旋流器的结构极大地影响了形成的螺旋环状流动的稳定性。对此,选取了四种典型旋流器结构开展三个典型来流工况下螺旋环状流形成的实验研究。通过图像处理结合概率密度函数(probability density function,PDF)拟合的方法分析了形成螺旋环状流的稳定性,同时结合液膜波动特性与旋流器内部作用过程分析发现:平板式及平板有中心柱式旋流器在不同来流工况下产生的液膜相较于螺旋叶片式A/B旋流器都更加稳定,相同工况下的失稳距离也更长,而螺旋叶片式A/B旋流器产生的螺旋环状流的稳定性较差,在更短的距离内即发生了螺旋环状流失稳现象;不同工况下液相折算速度的上升有助于提高液膜稳定性与螺旋环状流失稳距离,从而形成更稳定的螺旋环状流;叶片作用下流体内部压力梯度和气液相分布规律高度相关,压力梯度和周向速度是形成螺旋环状流动的主要因素,并且压力梯度和周向速度的大小一定程度决定了螺旋环状流动气液交界面的稳定性。展开更多
Thermocapillary flow of silicon melt(Pr=0.011)in shallow annular pool heated from inner wall was simulated at the dimensionless rotation ratewranging from 0 to 7000.The effect of pool rotation on the stability of the ...Thermocapillary flow of silicon melt(Pr=0.011)in shallow annular pool heated from inner wall was simulated at the dimensionless rotation ratewranging from 0 to 7000.The effect of pool rotation on the stability of the thermocapillary flow was investigated.The steady axisymmetric basic state was solved by using the spectral element method;the critical stability parameters were determined by linear stability analysis;the mechanism of the flow instability was explored by the analysis of energy balance.A stability diagram,exhibiting the variation of the critical Marangoni number versus the dimensionless rotation ratewwas presented.The results reveal that only one Hopf bifurcation point appeared in the intervals ofω<3020 andω>3965,and the corresponding instability was caused by the shear energy,which was provided by the thermocapillary force and pool rotation,respectively.In addition,the competition between thermocapillary force and pool rotation leads to three Hopf bifurcation points in the range of 3020<ω<3965 with the increase of Marangoni number.展开更多
水环发生器是水环输送稠油技术的重要装置,为了改善水环稳定性和提高输油效率,对水环输送稠油的减阻机理进行讨论,并采用数值分析的方法对水环发生器结构进行优化。采用VOF(Volume of Fluid)模型建立了水环流动数值模型,并完成了模型验...水环发生器是水环输送稠油技术的重要装置,为了改善水环稳定性和提高输油效率,对水环输送稠油的减阻机理进行讨论,并采用数值分析的方法对水环发生器结构进行优化。采用VOF(Volume of Fluid)模型建立了水环流动数值模型,并完成了模型验证,研究了水环发生器不同间隙厚度对其稳定性的影响,探讨了水环发生器间隙厚度对水环输油效率的影响,得到了水环发生器最佳间隙厚度。结果表明:间隙厚度存在一个最佳值,过小不利于水环的形成和稳定,过大则会降低输油效率。研究结果为水环输送高黏原油提供了理论指导。展开更多
基金supported by the National Natural Science Foundation of China (10972115)
文摘The long wave stability of core-annular flow of power-law fluids with an axial pressure gradient is investigated at low Reynolds number. The interface between the two fluids is populated with an insoluble surfactant. The analytic solution for the growth rate of perturbation is obtained with long wave approximation. We are mainly concerned with the effects of shear-thinning/thickening property and interfacial surfactant on the flow stability. The results show that the influence of shear-thinning/thickening property accounts to the change of the capillary number. For a clean interface, the shear-thinning property enhances the capillary instability when the interface is close to the pipe wall. The converse is true when the interface is close to the pipe centerline. For shear-thickening fluids, the situation is reversed. When the interface is close to the pipe centerline, the capillary instability can be restrained due to the influence of surfactant. A parameter set can be found under which the flow is linearly stable.
基金supported by the National Natural Science Foundation of China (Nos. 10772071 and 10802031)theScientific Research Foundation of HUST (No. 2006Q003B).
文摘A theoretical model is developed for the vibration and stability of a vertical pipe subjected concurrently to two dependent axial flows. The external fluid, after exiting the outer annular region between the pipe and a rigid cylindrical channel, is conveyed upwards inside the pipe. This configuration thus resembles of a pipe that aspirating fluid. The equation of planar mo- tion is solved by means of the differential quadrature method (DQM). Calculations are conducted for a slender drill-string-like and a bench-top-size system, for different confinement conditions of the outer annular channel. It is shown that the vibrations of these two systems are closely related to the degree of confinement of the outer annular channel. For a drill-string-like system with narrow annuli, buckling instability may occur in the second and third modes. For a bench-top-size system, however, both buckling and flutter may occur in the lowest three modes. The form of instability depends on the annuli size.
基金supported by the National Natural Science Foundation of China (Grant Nos. 10772097 and 10972115)
文摘The shear-thinning influence on the core-annular flow stability of two immiscible power-law fluids is considered by making a linear stability analysis.The flow is driven by an axial pressure gradient in a straight pipe with the interface between the two fluids occupied by an insoluble surfactant.Given the basic flow for this core-annular arrangement,the analytical solution is obtained with respect to the power-law fluid model.The linearized equations for the evolution of infinitesimal disturbances are derived and the stability problem is formulated as a generalized matrix eigenvalue problem,which is solved by using the software package Matlab based on the QZ algorithm.The shear-thinning property is found to have marked influence on the power-law fluid core-annular flow stability,which is reflected in various aspects.First,the capillary instability is magnified by the shear-thinning property,which may lead to an essential difference between power-law and Newtonian fluid flows.Especially when the interface is close to the pipe wall,the power-law fluid flow may be unstable while the Newtonian fluid flow is stable.Second,under disturbances to the interface a velocity discontinuity at the interface appears which is destabilizing to the flow.The magnitude of this velocity discontinuity is affected by the power-law index and the flow stability is influenced correspondingly.Besides,the shear-thinning property may induce new stability modes which do not appear in the Newtonian fluid flow.The flow stability shows much dependence on the interface location,the role of which was neglected in most previous studies.The shear-thinning fluid flow is more unstable to long wave disturbances when the interface is close to the pipe wall,while the Newtonian fluid flow is more unstable when the interface is close to the pipe centerline.But this trend is changed by the addition of interfacial surfactant,for which the power-law fluid flow is more stable no matter where the interface is located.
文摘管内气液螺旋环状流动可以通过设置固定叶片的旋流器形成,旋流器的结构极大地影响了形成的螺旋环状流动的稳定性。对此,选取了四种典型旋流器结构开展三个典型来流工况下螺旋环状流形成的实验研究。通过图像处理结合概率密度函数(probability density function,PDF)拟合的方法分析了形成螺旋环状流的稳定性,同时结合液膜波动特性与旋流器内部作用过程分析发现:平板式及平板有中心柱式旋流器在不同来流工况下产生的液膜相较于螺旋叶片式A/B旋流器都更加稳定,相同工况下的失稳距离也更长,而螺旋叶片式A/B旋流器产生的螺旋环状流的稳定性较差,在更短的距离内即发生了螺旋环状流失稳现象;不同工况下液相折算速度的上升有助于提高液膜稳定性与螺旋环状流失稳距离,从而形成更稳定的螺旋环状流;叶片作用下流体内部压力梯度和气液相分布规律高度相关,压力梯度和周向速度是形成螺旋环状流动的主要因素,并且压力梯度和周向速度的大小一定程度决定了螺旋环状流动气液交界面的稳定性。
基金supported by the National Natural Science Foundation of P. R. China (No. 11572062)Program for Changjiang Scholars and Innovative Research Team in University (No. IRT_17R112)
文摘Thermocapillary flow of silicon melt(Pr=0.011)in shallow annular pool heated from inner wall was simulated at the dimensionless rotation ratewranging from 0 to 7000.The effect of pool rotation on the stability of the thermocapillary flow was investigated.The steady axisymmetric basic state was solved by using the spectral element method;the critical stability parameters were determined by linear stability analysis;the mechanism of the flow instability was explored by the analysis of energy balance.A stability diagram,exhibiting the variation of the critical Marangoni number versus the dimensionless rotation ratewwas presented.The results reveal that only one Hopf bifurcation point appeared in the intervals ofω<3020 andω>3965,and the corresponding instability was caused by the shear energy,which was provided by the thermocapillary force and pool rotation,respectively.In addition,the competition between thermocapillary force and pool rotation leads to three Hopf bifurcation points in the range of 3020<ω<3965 with the increase of Marangoni number.
文摘水环发生器是水环输送稠油技术的重要装置,为了改善水环稳定性和提高输油效率,对水环输送稠油的减阻机理进行讨论,并采用数值分析的方法对水环发生器结构进行优化。采用VOF(Volume of Fluid)模型建立了水环流动数值模型,并完成了模型验证,研究了水环发生器不同间隙厚度对其稳定性的影响,探讨了水环发生器间隙厚度对水环输油效率的影响,得到了水环发生器最佳间隙厚度。结果表明:间隙厚度存在一个最佳值,过小不利于水环的形成和稳定,过大则会降低输油效率。研究结果为水环输送高黏原油提供了理论指导。