壁面吹吸和表面活性剂作用下的流动稳定性研究
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摘要
壁面吹吸和表面活性剂是影响流动稳定性的重要因素,相关问题广泛存在于工程实际问题中,已有的大量工作主要研究了这些因素对定常流动或者简单界面问题的作用。本文研究了带壁面吹吸的周期流动问题和带表面活性剂的多界面和振荡自由面问题,重点分析了流动的线性稳定性特征及其内在的物理机理,并发现了一些新现象。本文主要分析研究了四类典型流动问题,分别描述如下:
(1)基于Floquet理论和线性稳定性分析,研究了周期性壁面吹吸对平面Poiseuille流动稳定性的影响。采用Chebyshev谱配置法计算分析了固定压力梯度和固定流量两种情况下的基本流场及其稳定性特征:在小吹吸振幅条件下(△《1),给出了基本流场和扰动增长率的渐近解。在所研究的参数范围内,流动的临界Reynolds数总是低于不带吹吸的情况,因此流动的稳定性减弱。渐近结果表明,壁面吹吸导致扰动增长率产生一个O(△~2)量级的增加,因而起着不稳定性的作用。此外,还发现壁面吹吸的不稳定性作用主要与基本速度的定常修正相关。
(2)研究了均匀壁面吹吸对平板Stokes层稳定性的影响。首先发展了稳定性控制方程的半解析求解方法,推广应用到带壁面吹吸的流动问题,然后计算了典型参数下的扰动增长率、中性曲线、特征函数和临界Reynolds数R_c。结果表明,R_c随壁面吸气速度的增加单调上升,说明吸气起着增强流动稳定性的作用:吹气的作用则相反。在平行流假设下,计算得到了R_c的近似值,发现与精确结果非常接近,表明基本流场的法向速度分量对流动稳定性的贡献很小。分析给出了预测临界Reynolds数的经验公式,发现流动的临界Reynolds数近似地随吹吸速度成指数变化。
(3)研究了双层薄膜流动的无惯性不稳定特性。这里包括两部分内容,一是采用较为直观的方法阐述了长波扰动的失稳机制,另一是分析了表面活性剂和界面活性剂对流动稳定性的影响。在长波条件下,证明了自由面和界面的变形满足两个相互耦合的对流扩散方程,根据其正则模解的形式可以直接判断出流动的稳定性。每个模态对应的自由面和界面波动之间并不是严格同相或者反相的,而是存在一个额外的相位差。研究发现,该相位差对应的扰动流场和重力法向分量驱动的扰动流场共同决定了扰动的指数增长。在有表面活性剂和界面活性剂的条件下,存在四个正则模,其中最多只有一个模态是不稳定的。根据参数的不同,表面活性剂和界面活性剂可以增强或者减弱流动的稳定性。特别当上层流体的粘性远大于下层流体时,表面活性剂会增强流动的无惯性不稳定性,这也是首次发现表面活性剂可以增强零剪切自由面的不稳定性。
(4)研究了表面活性剂作用下的周期性振荡流体层的线性稳定性。在长波扰动条件下,采用摄动方法发现了两个与流动稳定性有关的Floquet模,它们的扰动增长率满足一个二次方程。表面活性剂会减小长波扰动出现不稳定的参数范围,因而可以增强长波扰动的稳定性。在任意波长条件下,采用Chebyshev谱配置法对控制方程进行了求解,计算分析了广泛参数条件下的临界Reynolds数。结果表明,当表面弹性较小时,表面活性剂会增强流动的稳定性;当表面弹性较大时,也可能促进流动的失稳。此外,还发现引入表面活性剂后有可能出现行波形式的不稳定性。
Effects of wall suctioin/injection and surfactants play an important role in the stability of flows involved in a wide range of engineering applications.In a majority of previous studies on these topics,the basic flow configuration is usually treated as a steady system or has only one interface.This dissertation is devoted to the stability of periodic flows with the suction/injection,surfactant-laden multiple-layer films,and oscillatory fluid layer with surfactants.Four typical problems are investigated in detail and described briefly as follows:
(1)The stability of plane Poiseuille flow modulated by oscillatory wall suction/injection is investigated based on linear stability analysis together with Floquet theory. The basic flow and the stability characteristics are analyzed using a Chebyshev collocation method.When the amplitudeΔof suction/injection is sufficiently small,asymptotic solutions of the basic velocity profile and the growth rate of disturbances are also obtained.For the parameters considered,the critical Reynolds number is always lower than one for the pure Poiseuille flow,and hence the flow becomes more unstable.The asymptotic results show that the correction terms for the growth rate are of O(Δ~2)and positive,indicating a destabilizing effect of the suction/injection.Moreover,it is found that the destabilizing effect is mainly connected to the steady corrections of the mean flow profile in the O(Δ~2)terms.
(2)Effects of uniform wall suction/injection on the linear stability of flat Stokes layers are studied.A semi-analytical method is developed to examine the stability of time-periodic boundary flows in the presence of wall suction/injection.Typical growth rates,neutral curves and critical Reynolds numbers are obtained.Results show that the critical Reynolds number decreases monotonically as the velocity of suction/injection increases.Thus,the onset of instability of the flat Stokes layers can be suppressed by wall suction and enhanced by wall injection.The values of the critical Reynolds number predicted by the quasi-parallel approximation of the basic flow agree quite well with the exact results,indicating a negligible influence of the normal component of the basic velocity on the flow instability.It is also revealed that the critical Reynolds number is approximately dependent on the suction/injection velocity with an exponential relation.
(3)The inertialess instability of a two-layer film flow is analyzed by interpreting the underlying mechanism of the long-wave instability in an intuitive way as well as examining the influence of insoluble surface and interfacial surfatants on the flow stability.In the limit of long waves,two coupled advection-diffusion equations for the surface and interracial displacements are derived.A normalmode analysis of the equations yields very tractable formulas for the growth rates and eigenfunctions,and the stability/instability can be readily identified.The surface and interfacial waves of the normal modes are not exactly in phase or out of phase byπ.Instead,there exists an additional phase shift.It is found that the coexistence of the disturbance flows related to this additional phase shift and the normal component of gravity leads to the inertialess instability.In the presence of surface and interfacial surfactants,four normal modes are detected,and at most one of the four modes may be unstable for a group of specified flow parameters. Both the surface and interfacial surfactants can act as stabilizing or destabilizing role.In particular,when the viscosity of the upper layer is much higher than that of the lower layer,the surface surfactant can enhance the intertialess instability of the flow.Note that the destabilizing effect of surfactants on a zero-shear free surface is revealed for the first time.
(4)The linear stability of an oscillatory fluid layer covered by an insoluble surfactant is studied.In the limit of long-wavelength perturbations,two particular Floquet modes associated with the instability are identified and the corresponding growth rates are obtained by solving a quadratic equation.The surfactant tends to shrink the unstable regions for the stability parameters,and thus plays a stabilizing role in the long-wave disturbances.The stability of arbitrary-wavelength disturbances is numerically analyzed using a Chebyshev collocation method,and the critical Reynolds numbers are calculated for a wide range of amplitude and frequency of the modulation as well as surfactant elasticity.Results show that the flow is stabilized for small surfactant elasticity and can be destabilized for relatively large surfactant elasticity.The disturbance modes in the form of traveling waves may be induced by the surfactant and dominate the instability of the flow.
(1)基于Floquet理论和线性稳定性分析,研究了周期性壁面吹吸对平面Poiseuille流动稳定性的影响。采用Chebyshev谱配置法计算分析了固定压力梯度和固定流量两种情况下的基本流场及其稳定性特征:在小吹吸振幅条件下(△《1),给出了基本流场和扰动增长率的渐近解。在所研究的参数范围内,流动的临界Reynolds数总是低于不带吹吸的情况,因此流动的稳定性减弱。渐近结果表明,壁面吹吸导致扰动增长率产生一个O(△~2)量级的增加,因而起着不稳定性的作用。此外,还发现壁面吹吸的不稳定性作用主要与基本速度的定常修正相关。
(2)研究了均匀壁面吹吸对平板Stokes层稳定性的影响。首先发展了稳定性控制方程的半解析求解方法,推广应用到带壁面吹吸的流动问题,然后计算了典型参数下的扰动增长率、中性曲线、特征函数和临界Reynolds数R_c。结果表明,R_c随壁面吸气速度的增加单调上升,说明吸气起着增强流动稳定性的作用:吹气的作用则相反。在平行流假设下,计算得到了R_c的近似值,发现与精确结果非常接近,表明基本流场的法向速度分量对流动稳定性的贡献很小。分析给出了预测临界Reynolds数的经验公式,发现流动的临界Reynolds数近似地随吹吸速度成指数变化。
(3)研究了双层薄膜流动的无惯性不稳定特性。这里包括两部分内容,一是采用较为直观的方法阐述了长波扰动的失稳机制,另一是分析了表面活性剂和界面活性剂对流动稳定性的影响。在长波条件下,证明了自由面和界面的变形满足两个相互耦合的对流扩散方程,根据其正则模解的形式可以直接判断出流动的稳定性。每个模态对应的自由面和界面波动之间并不是严格同相或者反相的,而是存在一个额外的相位差。研究发现,该相位差对应的扰动流场和重力法向分量驱动的扰动流场共同决定了扰动的指数增长。在有表面活性剂和界面活性剂的条件下,存在四个正则模,其中最多只有一个模态是不稳定的。根据参数的不同,表面活性剂和界面活性剂可以增强或者减弱流动的稳定性。特别当上层流体的粘性远大于下层流体时,表面活性剂会增强流动的无惯性不稳定性,这也是首次发现表面活性剂可以增强零剪切自由面的不稳定性。
(4)研究了表面活性剂作用下的周期性振荡流体层的线性稳定性。在长波扰动条件下,采用摄动方法发现了两个与流动稳定性有关的Floquet模,它们的扰动增长率满足一个二次方程。表面活性剂会减小长波扰动出现不稳定的参数范围,因而可以增强长波扰动的稳定性。在任意波长条件下,采用Chebyshev谱配置法对控制方程进行了求解,计算分析了广泛参数条件下的临界Reynolds数。结果表明,当表面弹性较小时,表面活性剂会增强流动的稳定性;当表面弹性较大时,也可能促进流动的失稳。此外,还发现引入表面活性剂后有可能出现行波形式的不稳定性。
Effects of wall suctioin/injection and surfactants play an important role in the stability of flows involved in a wide range of engineering applications.In a majority of previous studies on these topics,the basic flow configuration is usually treated as a steady system or has only one interface.This dissertation is devoted to the stability of periodic flows with the suction/injection,surfactant-laden multiple-layer films,and oscillatory fluid layer with surfactants.Four typical problems are investigated in detail and described briefly as follows:
(1)The stability of plane Poiseuille flow modulated by oscillatory wall suction/injection is investigated based on linear stability analysis together with Floquet theory. The basic flow and the stability characteristics are analyzed using a Chebyshev collocation method.When the amplitudeΔof suction/injection is sufficiently small,asymptotic solutions of the basic velocity profile and the growth rate of disturbances are also obtained.For the parameters considered,the critical Reynolds number is always lower than one for the pure Poiseuille flow,and hence the flow becomes more unstable.The asymptotic results show that the correction terms for the growth rate are of O(Δ~2)and positive,indicating a destabilizing effect of the suction/injection.Moreover,it is found that the destabilizing effect is mainly connected to the steady corrections of the mean flow profile in the O(Δ~2)terms.
(2)Effects of uniform wall suction/injection on the linear stability of flat Stokes layers are studied.A semi-analytical method is developed to examine the stability of time-periodic boundary flows in the presence of wall suction/injection.Typical growth rates,neutral curves and critical Reynolds numbers are obtained.Results show that the critical Reynolds number decreases monotonically as the velocity of suction/injection increases.Thus,the onset of instability of the flat Stokes layers can be suppressed by wall suction and enhanced by wall injection.The values of the critical Reynolds number predicted by the quasi-parallel approximation of the basic flow agree quite well with the exact results,indicating a negligible influence of the normal component of the basic velocity on the flow instability.It is also revealed that the critical Reynolds number is approximately dependent on the suction/injection velocity with an exponential relation.
(3)The inertialess instability of a two-layer film flow is analyzed by interpreting the underlying mechanism of the long-wave instability in an intuitive way as well as examining the influence of insoluble surface and interfacial surfatants on the flow stability.In the limit of long waves,two coupled advection-diffusion equations for the surface and interracial displacements are derived.A normalmode analysis of the equations yields very tractable formulas for the growth rates and eigenfunctions,and the stability/instability can be readily identified.The surface and interfacial waves of the normal modes are not exactly in phase or out of phase byπ.Instead,there exists an additional phase shift.It is found that the coexistence of the disturbance flows related to this additional phase shift and the normal component of gravity leads to the inertialess instability.In the presence of surface and interfacial surfactants,four normal modes are detected,and at most one of the four modes may be unstable for a group of specified flow parameters. Both the surface and interfacial surfactants can act as stabilizing or destabilizing role.In particular,when the viscosity of the upper layer is much higher than that of the lower layer,the surface surfactant can enhance the intertialess instability of the flow.Note that the destabilizing effect of surfactants on a zero-shear free surface is revealed for the first time.
(4)The linear stability of an oscillatory fluid layer covered by an insoluble surfactant is studied.In the limit of long-wavelength perturbations,two particular Floquet modes associated with the instability are identified and the corresponding growth rates are obtained by solving a quadratic equation.The surfactant tends to shrink the unstable regions for the stability parameters,and thus plays a stabilizing role in the long-wave disturbances.The stability of arbitrary-wavelength disturbances is numerically analyzed using a Chebyshev collocation method,and the critical Reynolds numbers are calculated for a wide range of amplitude and frequency of the modulation as well as surfactant elasticity.Results show that the flow is stabilized for small surfactant elasticity and can be destabilized for relatively large surfactant elasticity.The disturbance modes in the form of traveling waves may be induced by the surfactant and dominate the instability of the flow.
引文
赵国玺,朱步瑶.2003表面活性剂作用原理.北京:中国轻工业出版社.
周恒,赵耕夫.2004流动稳定性.北京:国防工业出版社.
AKHAVAN,R.,KAMM,R.D.& SHAPIRO,A.H.1991a An investigation of transition to turbulence in bounded oscillatory Stokes flows.Part 1.Experiments.J.Fluid Mech.225,395-422.
AKHAVAN,R.,KAMM,R.D.& SHAPIRO,A.H.1991b An investigation of transition to turbulence in bounded oscillatory Stokes flows.Part 2.Numerical simulations.J.Fluid Mech.225,423-444.
BAHL,K.1970 Stability of viscous flow between two concentric rotating porous cylinders.Def.Sci.J.20,89-96.
BARKLEY,D.& HENDERSON,R.D.1996 Three-dimensional Floquet stability analysis of the wake of a circular cylinder.J.Fluid Mech.322,215-241.
BATCHELOR,G.K.2000 An Introduction to Fluid Dynamics.Cambridge University Press.
BEAUDOIN,G.& JAFFRIN,M.Y.1989 Plasma filtration in Couette flow membrane devices.Artif.Organs 13,43-51.
BENJAMIN,T.B.1957 Wave formation in laminar flow down an inclined plane.J.Fluid Mech.2,554-574.
BETCHOV,R.& CRIMINALE,W.O.1967 Stability of Parallel Flows.Academic Press.
BEWLEY,T.,MOIN,P.& TEMAM,R.2001 DNS-based predictive control of turbulence:an optimal benchmark for feedback algorithms.J.Fluid Mech.447,179-225.
BEWLEY,W.R.& LIU,S.1998 Optimal and robust control and estimation of linear paths to transition.J.Fluid Mech.365,305-349.
BLACKBURN,H.M.,MARQUES,F.& LOPEZ,J.M.2005 Symmetry breaking of two-dimensional time-periodic wakes.J.Fluid Mech.522,395-411.
BLENNERHASSETT,P.,J.& BASSOM,A.P.2002 The linear stability of flat Stokes layers.J.Fluid Mech.464,393-410.
BLENNERHASSETT,P.J.& BASSOM,A.P.2006 The linear stability of high-frequency oscillatory flow in a channel.J.Fluid Mech.556,1-25.
BLONDEAUX,P.& VITTORI,G.1999 Boundary layer and sediment dynamics under sea waves.Adv.Coast.Ocean Eng.4,133-190.
BLYTH,M.O.& 'PoZRIKIDIS,C.2004α Effect of surfactant on the stability of film flow down an inclined plane,J.Fluid Mech.521,241-250.
BLYTH,M.G.& POZRIKIDIS,C.2004b Effect of surfactants on the stability of twolayer channel flow.J.Fluid Mech.505,59-86.
BOTTARO,A.,COFtBETT,P.7 LUCHINI,P.2003 The effect of base flow variation on flow stability.J.Fluid Mech.476,293-302.
CABAL,A.,SZUMBARSKI,J.& FLORYAN,J.M.2002 Stability of flow in a wavy channel.J.Fluid Mech.457,191-212.
CANUTO,C.,HUSSAINI,M.Y.,QUARTERONI,A.& ZANG,T.A.1988 Spectral Methods in Fluid Dynamics.Springer-Verlag.
CARMO,B.S.,SHERWIN,S.J.,BEARMAN,e.W.& WILLDEN,R.H.J.2008
Wake transition in the flow around two circular cylinders in staggered arrangements.J.Fluid Mech.597,1-29.
CHANG,T.S.& SARTORY,W.K.1967 Hydromagnetic stability of dissipative flow between rotating permeable cylinders.J.Fluid Mech.27,65-79.
CHANG,T.S.& SARTORY,W.K.1969 Hydromagnetic stability of dissipative flow between rotating permeable cylinders.Part 2.Oscillatory critical modes and asymptotic results.J.Fluid Mech.36,193-206.
CHARRU,F.& HINCH,E.J.2000 'Phase diagram' of interfacial instabilities in a two-layer Couette flow and mechanism of the long-wave instability,j.Fluid Mech.414,195-223.
CHEN,K.P.1993 Wave formation in the gravity-driven low-Reynolds number flow of two fluid films down an inclined plane.Phys.Fluids A 5,3038-3048.
CHOI,H.,MOIN,P.& KIM,J.1994 Active turbulence control for drag reduction in wall bounded flows.J.Fluid Mech.262,75-110.
CODDINGTON,E.A.& LEVENSON,N.1955 Theory of Ordinary Differential Equations.McGraw-Hill.
COLLINS,J.I.1963 Inception of turbulence at the bed under periodic gravity waves.J.Geophys.Res.18,6007-6014.
CONRAD,P.W.& CRIMINALE,W.O.1965 The stability of time-dependent laminar flow:parallel flow.Z.Agnew.Math.Phys.16,233-254.COSTAMAGNA,P.,VITTORI,G.& BLONDEAUX,P.2003 Coherent structures in oscillatory boundary layers.J.Fluid Mech.474,1-33.
COWARD,A.V.& PAPAGEORGIOU,D.W.1994 Stability of oscillatory two-phase Couette flow.IMA J.Appl.Math.53,75-93.
COWARD,A.V.& RENARDY,Y.Y.1997 Small-amplitude oscillatory forcing on two-layer plane channel flow.J.Fluid Mech.334,87-109.
COWLEY,S.J.1987 High frequency Rayleigh instability analysis of Stokes layers.In Stability of Time-dependent and Spatially Varying Flows(ed.D.L.Dwoyer & M.Y.Hussaini),pp.261-275.Springer.
DAVIS,S.H.1976 The stability of time-periodic flows.Annu.Rev.Fluid Mech.8,57-74.
DOLPH,C.L.& LEWIS,D.C.1958 On the application of infinite systems of ordinary differential equations to perturbations of plane Poiseuille flow.Q.Appl.Maths 16,97-110.
DRAZIN,P.G.2002 Intwduction to Hydrodynamic Stability.Cambridge University Press.
DRAZIN,P.G.& REID,W.H.1981 Hydrodynamic Stability.Cambridge University Press.
FARADAY,M.1831 On a peculiar class of acoustical figures;and on certain forms assumed by groups of particles upon vibrating elastic surfaces.Phil.Trans.R.Soc.Lond.121,299-230.
FARREL,B.F.& IOANNOU,P.J.1996 Turbulence suppression by active control.Phys.Fluids 8,1257-1268.
FLORYAN,J.M.1997 Stability of wall-bounded shear layers in the presence of simulated distributed surface roughness.J.Fluid Mech.335,29-55.
FLORYAN,J.M.2003 Vortex instability in a diverging-converging channel.J.Fluid Mech.482,17-50.
FLORYAN,J.M.,SZUMBARSKI,J.& Wu,X.2002 Stability of flow in a channel with vibrating walls.J.Fluid Mech.14,3927-3936.
FRANSSON,J.H.& ALFREDSSON,P.H.2003α On the disturbance growth in an asymptotic suction boundary layer.J.Fluid Mech.482,51-90.
FRANSSON,J.H.& ALFREDSSON,P.H.2003b On the hydrodynamic stability of channel flow with cross flow.Phys.Fluids 15,436-441.
FRENKEL,i.L.& HALPERN,D.2002 Stokes-flow instability due to interracial surfactant.Phys.Fluids 14,L45-L48.
FRENKEL,A.L.& HALPERN,D.2005 Effect of inertia on the insoluble-surfactant instability of a shear flow.Phys.Rev.E 71,016302.
GROSCH,C.E.& SALWEN,H.1968 The stability of steady and time-dependent plane Poiseuille flow.J.Fluid Mech.34,177-205.
Hains, F. D. 1971 Stability of plane Couette-Poiseuille flow with uniform crossflow. Phys. Fluids 14, 1620-1623.
Hale, J. F., McDonald, D. A. & Womersley, J. R. 1955 Velocity profiles of oscillating arterial flow with some calculations of viscous drag and the Reynolds number. J. Physiol. 128, 629-640.
Hall, P. 1975 The stability of Poiseuille flow modulated at high frequencies. Proc. R. Soc. A 344, 453-464.
Hall, P. 1978 The linear stability of flat Stokes layers. Proc. R. Soc. A 359, 151-166.
Hall, P. 2003 On the instability of Stokes layers at high Reynolds numbers. J. Fluid Mech. 482, 1-15.
Halpern, D. & Frenkel, A. L. 2001 Saturated Rayleigh-Taylor instability of an oscillating Couette film flow. J. Fluid Mech. 446, 67-93.
Halpern, D. & Frenkel, A. L. 2003 Destabilization of a creeping flow by interfacial surfactant: linear theory extended to all wavenumbers. J. Fluid Mech. 485, 191-220.
Herbert, D. M. 1972 The energy balance in modulated plane Poiseuille flow. J. Fluid Mech. 56, 73-80.
Hinch, E. J. 1984 A note on the mechanism of the instability at the interface between two shearing flows. J. Fluid Mech. 144, 463-465.
Hino, M., Sawamoto, M. & Takasu, S. 1976 Experiments on transition to turbulence in an oscillatory pipe flow. J. Fluid Mech. 75, 193-207.
Hocking, L. M. 1975 Non-linear instability of the asymptotic suction velocity profile. Q. J. Mech. Appl. Math. 28, 341-353.
Hogberg, M., Bewley, T. R.& Henningson, D. S. 2003a Linear feedback control and estimation of transition in plane channel flow. J. Fluid Mech. 481, 149-175.
Hogberg, M., Bewley, T. R. & Henningson, D. S. 20036 Relaminarization of Re(?) = 100 turbulence using gain scheduling and linear state-feedback control. Phys. Fluids 15, 3572-3575.
Hu, J., Millet, S., Botton, V., Hadid, H. B. & Henry, D. 2006 Inertialess temporal and spatio-temporal stability analysis of the two-layer film flow with density stratification. Phys. Fluids 18, 104101.
Huang, C. T. & Khomami, B. 2001 The instability mechanism of single and multilayer Newtonian and viscoelastic flows down an inclined plane. Rheol. Acta 40, 467-484.
Huang, W. & Sloan, D. M. 1994 The pseudospectral method for solving differential eigenvalue problems. J. Comput. Phys. 111, 399-409.
HUGHES,T.H.& REID,W.H.1965 On the stability of the asymptotic suction boundary-layer profile.J.Fluid Mech.23,715-735.
JENSEN,B.L.,SUMER,B.M.& FREDSOE,J.1989 Turbulent oscillatory boundary layers at high Reynolds numbers,J.Fluid Mech.206,265-297.
JIANG,W.Y.,HELENBROOK,B.& LIN,S.P.2004 Inertialess instability of a twolayer liquid film flow.Phys.Fluids 16,652-663.
JIANG,W.Y.,HELENBROOK,B.T.,LIN,S.P.& WEINSTEIN,S.J.2005 Low-Reynolds-number instabilities in three-layer flow down an inclined wall.J.Fluid Mech.539,387-416.
JIANG,W.Y.& LIN,S.P.2005 Enhancement or suppression of instability in a two-layered liquid film flow.Phys.Fluids 17,054105.
JOHNSON,E.C.& LUEPTOW,R.M.1997 Hydrodynamic stability of flow between rotating porous cylinders with radial and axial flow.Phys.Fluids 9,3687-3696.
JONES,C.W.& WATSON,E.J.1963 Two-dimensional boundary layers.In Laminar Boundary Layers(ed.L.Rosenhed).Oxford University Press.
JOSEPH,D.D.1976 Stability of Fluid Motions.Springer-Verlag.
JOSLIN,R.D.1998 Aircraft laminar flow control.Annu.Rev.Fluid Mech.30,1-29.
JOSLIN,S.S.,SPEYER,J.L.& KIM,J.1997 A systems theory approach to the feedback stabilization of infinitesimal and finite-amplitude disturbances in plane Poiseuille flow.J.Fluid Mech.332,157-184.
KAO,T.W.1965α Role of the interface in the stability of stratified flow down an inclined plane.Phys.Fluids 8,2190-2194.
KAO,T.W.1965b Stability of two-layer viscous stratified flow down an inclined plane.Phys.Fluids 8,812-820.
KAO,T.W.1968 Role of viscosity stratification in the stability of two-layer flow down an incline.J.Fluid Mech.33,561-572.
KELLY,R.E.,GOUSSIS,D.A.,LIN,S.P.& Hsu,F.K.1989 The mechanism for surface wave instability in film flow down an inclined plane.Phys.Fluids A 1,819-828.
YON KERCZEK,C.& DAVIS,S.H.1974 Linear stability theory of oscillatory Stokes layers.J.Fluid Mech.62,753-773.
VON KERCZEK,C.H.1982 The instability oscillatory plane Poiseuille flow.J.Fluid Mech.116,91-114.
KING,M.R.,LEIGHTON,D.T.& MCCREADY,M.J.1999 Stability of oscillatory two-phase Couette flow:Theory and experiment.Phys.Fluids 11,833-844.
KLIAKHANDLER,I.L.1999 Long interfacial waves in multilayer thin films and coupled Kuramoto-Sivashinsky equations.J.Fluid Mech.391,45-65.
KLIAKHANDLER,I.L.& SIVASHINSKY,G.I.1997 Viscous damping and instabilities in stratified liquid film flowing down a slightly inclined plane.Phys.Fluids 9,23-30.
KOLYSHKIN,A.& VAILLANCOURT,R.1997 Convective instability boundary of Couette flow between rotating porous cylinders with axial and radial flow.Phys.Fluids 9,910-918.
Ku,D.N.1997 Blood flow in arteries.Annu.Rev.Fluid Mech.29,399-434.
LEE,S.& LUEPTOW,R.M.2004α Model predictions and experiments for rotating reverse osmosis for space mission water reuse:A comparison.Sep.Sci.Technol.39,539-561.
LEE,S.& LUEPTOW,R.M.2004b Rotating reverse osmosis for water recovery in space:Influence of operational parameters on RO performance.Desalination 169,109-120.
LI,X.F.& POZRIKIDIS,C.1997 The effect of surfactants on drop deformation and on the theology of dilute emulsions in Stokes flow.J.Fluid Mech.341,165-194.
LIN,C.C.1955 The Theory of Hydrodynamic Stability.Cambridge University Press.
LIN,S.P.1970 Stabilizing effects of surface-active agents on a film flow.AIChE J.16,375-379.
LIN,S.P.1996 Suppression of instability in a liquid film flow.Phys.Fluids 8,3247-3252.
LIN,S.P.& CHEN,J.N.1998 The mechanism of surface wave suppression in film flow down a vertical plane.Phys.Fluids 10,1787-1792.
LOEWENHERZ,D.S.& LAWRENCE,C.J.1989 The effect of viscosity stratification on the stability of a free surface flow at low Reynolds number.Phys.Fluids A 1,1686-1693.
LUEPTOW,R.M.& HAJILOO,A.1995 Flow in a rotating membrane plasma separator.Trans.Am.Soc.Artif.Intern.Organs 41,182-188.
Luo,J.& Wu,X.2004 Influence of small imperfections on the stability of plane Poiseuilie flow:A theoretical model and direct numerical simulation.Phys.Fluids 16,2852-2863.
MERKLI,P.& THOMANN,H.1975 Transition to turbulence in oscillating pipe flow.J.Fluid Mech.68,567-575.
MIN,K.& LUEPTOW,R.M.1994 Hydrodynamic stability of viscous-flow between rotating porous cylinders with radial flow.Phys.Fluids 6,144-151.
NICOUD,F.& ANGILELLA,J.R.1997 Effects of uniform injection at the wall on the stability of Couette-like flows.Phys.Rev.E 56,3000-3009.
OBREMSK[,H.J.& MORKOVIN,M.V.1969 Application of a quasi-steady stability model to a periodic boundary layer flow.AIAA J.7,1298-1301.
OHASHI,K.,TASHIRO,K.,KUSHIYA,F.,MATSUMOTO,T.,YOSHIDA,S.,ENDO,M.,HORIO,T.,OZAWA,K.& SAKAI,K.1988 Itotation-induced Taylor vortex enhances filtrate flux in plasma separation.Trans.Am.Soc.Artif.Intern.Organs 34,300-307.
OR,A.C.1997 Finite-wavelength instability in a horizontal liquid layer on an oscillating plane.J.Fluid Mech.335,213-232.
OR,A.C.& KELLY,R.E.1995 Onset of Marangoni convection in a layer of fluid modulated by a weak nonplanar oscillatory shear.Intl J.Heat Mass Transfer 38,2269-2279.
OR,A.C.& KELLY,R.E.1998 Thermocapillary and oscillatory-shear instabilities in a layer of liquid with a deformable surface.J.Fluid Mech.360,21-39.
ORON,A.,DAVIS,S.H.& BANKOFF,S.G.1997 Long-scale evolution of thin liquid films.Rev.Mod.Phys.69,931-980.
ORR,W.M.1907 Stability or instability of the steady motions of a fluid.Proc.R.Irish Acad.A 27,69-138.
ORSZAG,S.A.1971 Accurate solution of the Orr-Sommerfeld stability equation.J.Fluid Mech.50,689-703.
OSTRACH,S.1982 Low-gravity fluid flows.Annu.Rev.Fluid.Mech.14,313-345.
PEARLSTEIN,A.J.1981 Effect of rotation on the stability of a doubly diffusive fluid layer.J.Fluid Mech.103,389-412.
PEYRET,R.2002 Spectral Methods for Incompressible Viscous Flow.Springer-Verlag.
POTTER,M.C.1966 Stability of plane Couette-Poiseuille flow.J.Fluid Mech.24,609-619.
POZRIKIDIS,C.2003 Effect of surfactants on film flow down a periodic wall.J.Fluid Mech.496,105-127.
PROBSTEIN,R.F.1994 Physicochemical Hydrodynamics:An Introduction.New York:Wiley and Sons Inc.
RENARDY,Y.1985 Instability at the interface between two shearing fluids in a channel.Phys.Fluids 28,3441-3443.
ROBERTS,P.J.D.2001 Boundary layer instability induced by distributed surface suction.PhD thesis,The University of Western Ontario,Canada.
SCHLICHTING,H.1979 Boundary Layer Theory.McGraw-Hill.
SCHMID,P.J.& HENNINGSON,D.S.2001 Stability and Transition in Shear Flows.Springer.
SCHWILLE,J.A.,MITRA,D.& LUEPTOW,R.M.2002 Design parameters for rotating filtration.J.Membr.Sci.204,53-65.
SELVARAJAN,S.,TULAPURKARA,E.G.& RAM,V.V.1999 Stability characteristics of wavy walled channel flows.Phys.Fluids 11,579-589.
SELVER.OV,K.P.& STONE,n.A.2001 Peristaltically driven channel flows with applications towards micro-mixing.Phys.Fluids 13,1837-1859.
SEMINARA,G.& HALL,P.1976 Centrifugal instablity of a Stokes layer.Pwc.R.Soc.A 350,299-316.
SHAH,T.N.,YOON,Y.,PEDERSON,C.L.& LUEPTOW,R.M.2006 Rotating reverse osmosis and spiral wound reverse osmosis filtration:A comparison.J.Membr.Sci.285,353-361.
SHEPPARD,D.M.1972 Hydrodynamic stability of the flow between parallel porous walls.Phys.Fluids 15,241-244.
SINGER,B.A.,FERZIGER,J.H.& REED,H.L.1989 Numerical simulations of transition in oscillatory plane channel flow.J.Fluid Mech.208,45-66.
SKARDA,J.R.L.2001 Instability of a gravity-modulated fluid layer with surface tension variation.J.Fluid Mech.434,243-271.
SMITH,M.K.1990 The mechanism for the long-wave instability in thin liquid films.J.Fluid Mech.217,469-485.
SOMMERFELD,A.1908 Ein beitrag zur hydrodynamischen erklaerung der turbulenten fluessigkeitsbewegungen.Proc.4th Intel Congr.Math.Ⅲ,116-124,Rome.
DE SOUZA,M.O.1998 Instabilities of rotating and unsteady flows.PhD thesis,Darwin College,University of Cambridge.
SQUIRE,H.B.1933 On the stability for three-dimensional disturbances of viscous fluid flow between parallel walls.Proc.R.Soc.A 142,621-628.
STONE,H.A.1990 A simple derivation of the time-dependent convection diffusion equation for surfactant transport along a deforming interface.Phys.Fluids A 2,111-112.
STRAATMAN,A.G.,KHAYAT,R.E.,HAJ-QASEM,E.& STEINMAN,D.A.2002
On the hydrodynamic stability of pulsatile flow in a plane channel.Phys.Fluids 14,1938-1944.
SUMITANI,Y.& KASAGI,N.1995 Direct numerical simulation of turbulent transport with uniform wall injection and suction.AIAA J.33,1220-1228.
SURESH,V.2004 Stability of time-modulated electro-osmotic flow.Phys.Fluids 16,2349-2356.
SZUMBARSKI,J.J.& FLORYAN,J.M.2000 Channel flow instability in presence of weak distributed surface suction.AIAA J.38,372-374.
THIELE,V.,VEGA,M.& KNOBLOCH,E.2006 Long-wave Marangoni instability with vibration.J.Fluid Mech.546,61-87.
VITTORI,G.& VERZICCO,a.1998 Direct simulation of transition in an oscillatory boundary layer.J.Fluid Mech.371,207-232.
VUILLOT,F.1995 Vortex-shedding phenomena in solid rocket motors.J.Propulsion and Power 11,626-639.
WANG,C.K.,SEABORG,J.J.& LIN,S.P.1978 Instability of multi-layered liquid films.Phys.Fluids 21,1669-1673.
WEI,H.-H.2005α Effect of surfactant on the long-wave instability of a shear-imposed liquid flow down an inclined plane.Phys.Fluids 17,012103.
WEI,H.-H.2005b On the flow-induced Marangoni instability due to the presence of surfactant.J.Fluid Mech.544,173-200.
WEI,H.-H.,HALPERN,D.& GROTBERG,J.B.2005 Linear stability of a surfactantladen annular film in a time-periodic pressure-driven flow through a capillary.J.Colloid Interface Sci.285,769-780.
WEIDEMAN,J.A.C.& REDDY,S.C.2000 A MATLAB differentiation matrix suite.ACM Trans.Math.Softw.26,465-519.
WEINSTEIN,S.J.,BAUMLIN,J.M.& SERVANT,J.1993 The propagation of surface waves in flow down an oscillating inclined plane.AIChE J.39,1113-1123.
WEINSTEIN,S.J.& CHEN,K.P.1999 Large growth rate instabilities in three-layer flow down an incline in the limit of zero reynolds number.Phys.Fluids 11,3270-3282.
WEINSTEIN,S.J.& KURz,M.R.1991 Long-wavelength instabilities in three-layer flow down an incline.Phys.Fluids A 3,2680-2687.
##属性不符
周恒,赵耕夫.2004流动稳定性.北京:国防工业出版社.
AKHAVAN,R.,KAMM,R.D.& SHAPIRO,A.H.1991a An investigation of transition to turbulence in bounded oscillatory Stokes flows.Part 1.Experiments.J.Fluid Mech.225,395-422.
AKHAVAN,R.,KAMM,R.D.& SHAPIRO,A.H.1991b An investigation of transition to turbulence in bounded oscillatory Stokes flows.Part 2.Numerical simulations.J.Fluid Mech.225,423-444.
BAHL,K.1970 Stability of viscous flow between two concentric rotating porous cylinders.Def.Sci.J.20,89-96.
BARKLEY,D.& HENDERSON,R.D.1996 Three-dimensional Floquet stability analysis of the wake of a circular cylinder.J.Fluid Mech.322,215-241.
BATCHELOR,G.K.2000 An Introduction to Fluid Dynamics.Cambridge University Press.
BEAUDOIN,G.& JAFFRIN,M.Y.1989 Plasma filtration in Couette flow membrane devices.Artif.Organs 13,43-51.
BENJAMIN,T.B.1957 Wave formation in laminar flow down an inclined plane.J.Fluid Mech.2,554-574.
BETCHOV,R.& CRIMINALE,W.O.1967 Stability of Parallel Flows.Academic Press.
BEWLEY,T.,MOIN,P.& TEMAM,R.2001 DNS-based predictive control of turbulence:an optimal benchmark for feedback algorithms.J.Fluid Mech.447,179-225.
BEWLEY,W.R.& LIU,S.1998 Optimal and robust control and estimation of linear paths to transition.J.Fluid Mech.365,305-349.
BLACKBURN,H.M.,MARQUES,F.& LOPEZ,J.M.2005 Symmetry breaking of two-dimensional time-periodic wakes.J.Fluid Mech.522,395-411.
BLENNERHASSETT,P.,J.& BASSOM,A.P.2002 The linear stability of flat Stokes layers.J.Fluid Mech.464,393-410.
BLENNERHASSETT,P.J.& BASSOM,A.P.2006 The linear stability of high-frequency oscillatory flow in a channel.J.Fluid Mech.556,1-25.
BLONDEAUX,P.& VITTORI,G.1999 Boundary layer and sediment dynamics under sea waves.Adv.Coast.Ocean Eng.4,133-190.
BLYTH,M.O.& 'PoZRIKIDIS,C.2004α Effect of surfactant on the stability of film flow down an inclined plane,J.Fluid Mech.521,241-250.
BLYTH,M.G.& POZRIKIDIS,C.2004b Effect of surfactants on the stability of twolayer channel flow.J.Fluid Mech.505,59-86.
BOTTARO,A.,COFtBETT,P.7 LUCHINI,P.2003 The effect of base flow variation on flow stability.J.Fluid Mech.476,293-302.
CABAL,A.,SZUMBARSKI,J.& FLORYAN,J.M.2002 Stability of flow in a wavy channel.J.Fluid Mech.457,191-212.
CANUTO,C.,HUSSAINI,M.Y.,QUARTERONI,A.& ZANG,T.A.1988 Spectral Methods in Fluid Dynamics.Springer-Verlag.
CARMO,B.S.,SHERWIN,S.J.,BEARMAN,e.W.& WILLDEN,R.H.J.2008
Wake transition in the flow around two circular cylinders in staggered arrangements.J.Fluid Mech.597,1-29.
CHANG,T.S.& SARTORY,W.K.1967 Hydromagnetic stability of dissipative flow between rotating permeable cylinders.J.Fluid Mech.27,65-79.
CHANG,T.S.& SARTORY,W.K.1969 Hydromagnetic stability of dissipative flow between rotating permeable cylinders.Part 2.Oscillatory critical modes and asymptotic results.J.Fluid Mech.36,193-206.
CHARRU,F.& HINCH,E.J.2000 'Phase diagram' of interfacial instabilities in a two-layer Couette flow and mechanism of the long-wave instability,j.Fluid Mech.414,195-223.
CHEN,K.P.1993 Wave formation in the gravity-driven low-Reynolds number flow of two fluid films down an inclined plane.Phys.Fluids A 5,3038-3048.
CHOI,H.,MOIN,P.& KIM,J.1994 Active turbulence control for drag reduction in wall bounded flows.J.Fluid Mech.262,75-110.
CODDINGTON,E.A.& LEVENSON,N.1955 Theory of Ordinary Differential Equations.McGraw-Hill.
COLLINS,J.I.1963 Inception of turbulence at the bed under periodic gravity waves.J.Geophys.Res.18,6007-6014.
CONRAD,P.W.& CRIMINALE,W.O.1965 The stability of time-dependent laminar flow:parallel flow.Z.Agnew.Math.Phys.16,233-254.COSTAMAGNA,P.,VITTORI,G.& BLONDEAUX,P.2003 Coherent structures in oscillatory boundary layers.J.Fluid Mech.474,1-33.
COWARD,A.V.& PAPAGEORGIOU,D.W.1994 Stability of oscillatory two-phase Couette flow.IMA J.Appl.Math.53,75-93.
COWARD,A.V.& RENARDY,Y.Y.1997 Small-amplitude oscillatory forcing on two-layer plane channel flow.J.Fluid Mech.334,87-109.
COWLEY,S.J.1987 High frequency Rayleigh instability analysis of Stokes layers.In Stability of Time-dependent and Spatially Varying Flows(ed.D.L.Dwoyer & M.Y.Hussaini),pp.261-275.Springer.
DAVIS,S.H.1976 The stability of time-periodic flows.Annu.Rev.Fluid Mech.8,57-74.
DOLPH,C.L.& LEWIS,D.C.1958 On the application of infinite systems of ordinary differential equations to perturbations of plane Poiseuille flow.Q.Appl.Maths 16,97-110.
DRAZIN,P.G.2002 Intwduction to Hydrodynamic Stability.Cambridge University Press.
DRAZIN,P.G.& REID,W.H.1981 Hydrodynamic Stability.Cambridge University Press.
FARADAY,M.1831 On a peculiar class of acoustical figures;and on certain forms assumed by groups of particles upon vibrating elastic surfaces.Phil.Trans.R.Soc.Lond.121,299-230.
FARREL,B.F.& IOANNOU,P.J.1996 Turbulence suppression by active control.Phys.Fluids 8,1257-1268.
FLORYAN,J.M.1997 Stability of wall-bounded shear layers in the presence of simulated distributed surface roughness.J.Fluid Mech.335,29-55.
FLORYAN,J.M.2003 Vortex instability in a diverging-converging channel.J.Fluid Mech.482,17-50.
FLORYAN,J.M.,SZUMBARSKI,J.& Wu,X.2002 Stability of flow in a channel with vibrating walls.J.Fluid Mech.14,3927-3936.
FRANSSON,J.H.& ALFREDSSON,P.H.2003α On the disturbance growth in an asymptotic suction boundary layer.J.Fluid Mech.482,51-90.
FRANSSON,J.H.& ALFREDSSON,P.H.2003b On the hydrodynamic stability of channel flow with cross flow.Phys.Fluids 15,436-441.
FRENKEL,i.L.& HALPERN,D.2002 Stokes-flow instability due to interracial surfactant.Phys.Fluids 14,L45-L48.
FRENKEL,A.L.& HALPERN,D.2005 Effect of inertia on the insoluble-surfactant instability of a shear flow.Phys.Rev.E 71,016302.
GROSCH,C.E.& SALWEN,H.1968 The stability of steady and time-dependent plane Poiseuille flow.J.Fluid Mech.34,177-205.
Hains, F. D. 1971 Stability of plane Couette-Poiseuille flow with uniform crossflow. Phys. Fluids 14, 1620-1623.
Hale, J. F., McDonald, D. A. & Womersley, J. R. 1955 Velocity profiles of oscillating arterial flow with some calculations of viscous drag and the Reynolds number. J. Physiol. 128, 629-640.
Hall, P. 1975 The stability of Poiseuille flow modulated at high frequencies. Proc. R. Soc. A 344, 453-464.
Hall, P. 1978 The linear stability of flat Stokes layers. Proc. R. Soc. A 359, 151-166.
Hall, P. 2003 On the instability of Stokes layers at high Reynolds numbers. J. Fluid Mech. 482, 1-15.
Halpern, D. & Frenkel, A. L. 2001 Saturated Rayleigh-Taylor instability of an oscillating Couette film flow. J. Fluid Mech. 446, 67-93.
Halpern, D. & Frenkel, A. L. 2003 Destabilization of a creeping flow by interfacial surfactant: linear theory extended to all wavenumbers. J. Fluid Mech. 485, 191-220.
Herbert, D. M. 1972 The energy balance in modulated plane Poiseuille flow. J. Fluid Mech. 56, 73-80.
Hinch, E. J. 1984 A note on the mechanism of the instability at the interface between two shearing flows. J. Fluid Mech. 144, 463-465.
Hino, M., Sawamoto, M. & Takasu, S. 1976 Experiments on transition to turbulence in an oscillatory pipe flow. J. Fluid Mech. 75, 193-207.
Hocking, L. M. 1975 Non-linear instability of the asymptotic suction velocity profile. Q. J. Mech. Appl. Math. 28, 341-353.
Hogberg, M., Bewley, T. R.& Henningson, D. S. 2003a Linear feedback control and estimation of transition in plane channel flow. J. Fluid Mech. 481, 149-175.
Hogberg, M., Bewley, T. R. & Henningson, D. S. 20036 Relaminarization of Re(?) = 100 turbulence using gain scheduling and linear state-feedback control. Phys. Fluids 15, 3572-3575.
Hu, J., Millet, S., Botton, V., Hadid, H. B. & Henry, D. 2006 Inertialess temporal and spatio-temporal stability analysis of the two-layer film flow with density stratification. Phys. Fluids 18, 104101.
Huang, C. T. & Khomami, B. 2001 The instability mechanism of single and multilayer Newtonian and viscoelastic flows down an inclined plane. Rheol. Acta 40, 467-484.
Huang, W. & Sloan, D. M. 1994 The pseudospectral method for solving differential eigenvalue problems. J. Comput. Phys. 111, 399-409.
HUGHES,T.H.& REID,W.H.1965 On the stability of the asymptotic suction boundary-layer profile.J.Fluid Mech.23,715-735.
JENSEN,B.L.,SUMER,B.M.& FREDSOE,J.1989 Turbulent oscillatory boundary layers at high Reynolds numbers,J.Fluid Mech.206,265-297.
JIANG,W.Y.,HELENBROOK,B.& LIN,S.P.2004 Inertialess instability of a twolayer liquid film flow.Phys.Fluids 16,652-663.
JIANG,W.Y.,HELENBROOK,B.T.,LIN,S.P.& WEINSTEIN,S.J.2005 Low-Reynolds-number instabilities in three-layer flow down an inclined wall.J.Fluid Mech.539,387-416.
JIANG,W.Y.& LIN,S.P.2005 Enhancement or suppression of instability in a two-layered liquid film flow.Phys.Fluids 17,054105.
JOHNSON,E.C.& LUEPTOW,R.M.1997 Hydrodynamic stability of flow between rotating porous cylinders with radial and axial flow.Phys.Fluids 9,3687-3696.
JONES,C.W.& WATSON,E.J.1963 Two-dimensional boundary layers.In Laminar Boundary Layers(ed.L.Rosenhed).Oxford University Press.
JOSEPH,D.D.1976 Stability of Fluid Motions.Springer-Verlag.
JOSLIN,R.D.1998 Aircraft laminar flow control.Annu.Rev.Fluid Mech.30,1-29.
JOSLIN,S.S.,SPEYER,J.L.& KIM,J.1997 A systems theory approach to the feedback stabilization of infinitesimal and finite-amplitude disturbances in plane Poiseuille flow.J.Fluid Mech.332,157-184.
KAO,T.W.1965α Role of the interface in the stability of stratified flow down an inclined plane.Phys.Fluids 8,2190-2194.
KAO,T.W.1965b Stability of two-layer viscous stratified flow down an inclined plane.Phys.Fluids 8,812-820.
KAO,T.W.1968 Role of viscosity stratification in the stability of two-layer flow down an incline.J.Fluid Mech.33,561-572.
KELLY,R.E.,GOUSSIS,D.A.,LIN,S.P.& Hsu,F.K.1989 The mechanism for surface wave instability in film flow down an inclined plane.Phys.Fluids A 1,819-828.
YON KERCZEK,C.& DAVIS,S.H.1974 Linear stability theory of oscillatory Stokes layers.J.Fluid Mech.62,753-773.
VON KERCZEK,C.H.1982 The instability oscillatory plane Poiseuille flow.J.Fluid Mech.116,91-114.
KING,M.R.,LEIGHTON,D.T.& MCCREADY,M.J.1999 Stability of oscillatory two-phase Couette flow:Theory and experiment.Phys.Fluids 11,833-844.
KLIAKHANDLER,I.L.1999 Long interfacial waves in multilayer thin films and coupled Kuramoto-Sivashinsky equations.J.Fluid Mech.391,45-65.
KLIAKHANDLER,I.L.& SIVASHINSKY,G.I.1997 Viscous damping and instabilities in stratified liquid film flowing down a slightly inclined plane.Phys.Fluids 9,23-30.
KOLYSHKIN,A.& VAILLANCOURT,R.1997 Convective instability boundary of Couette flow between rotating porous cylinders with axial and radial flow.Phys.Fluids 9,910-918.
Ku,D.N.1997 Blood flow in arteries.Annu.Rev.Fluid Mech.29,399-434.
LEE,S.& LUEPTOW,R.M.2004α Model predictions and experiments for rotating reverse osmosis for space mission water reuse:A comparison.Sep.Sci.Technol.39,539-561.
LEE,S.& LUEPTOW,R.M.2004b Rotating reverse osmosis for water recovery in space:Influence of operational parameters on RO performance.Desalination 169,109-120.
LI,X.F.& POZRIKIDIS,C.1997 The effect of surfactants on drop deformation and on the theology of dilute emulsions in Stokes flow.J.Fluid Mech.341,165-194.
LIN,C.C.1955 The Theory of Hydrodynamic Stability.Cambridge University Press.
LIN,S.P.1970 Stabilizing effects of surface-active agents on a film flow.AIChE J.16,375-379.
LIN,S.P.1996 Suppression of instability in a liquid film flow.Phys.Fluids 8,3247-3252.
LIN,S.P.& CHEN,J.N.1998 The mechanism of surface wave suppression in film flow down a vertical plane.Phys.Fluids 10,1787-1792.
LOEWENHERZ,D.S.& LAWRENCE,C.J.1989 The effect of viscosity stratification on the stability of a free surface flow at low Reynolds number.Phys.Fluids A 1,1686-1693.
LUEPTOW,R.M.& HAJILOO,A.1995 Flow in a rotating membrane plasma separator.Trans.Am.Soc.Artif.Intern.Organs 41,182-188.
Luo,J.& Wu,X.2004 Influence of small imperfections on the stability of plane Poiseuilie flow:A theoretical model and direct numerical simulation.Phys.Fluids 16,2852-2863.
MERKLI,P.& THOMANN,H.1975 Transition to turbulence in oscillating pipe flow.J.Fluid Mech.68,567-575.
MIN,K.& LUEPTOW,R.M.1994 Hydrodynamic stability of viscous-flow between rotating porous cylinders with radial flow.Phys.Fluids 6,144-151.
NICOUD,F.& ANGILELLA,J.R.1997 Effects of uniform injection at the wall on the stability of Couette-like flows.Phys.Rev.E 56,3000-3009.
OBREMSK[,H.J.& MORKOVIN,M.V.1969 Application of a quasi-steady stability model to a periodic boundary layer flow.AIAA J.7,1298-1301.
OHASHI,K.,TASHIRO,K.,KUSHIYA,F.,MATSUMOTO,T.,YOSHIDA,S.,ENDO,M.,HORIO,T.,OZAWA,K.& SAKAI,K.1988 Itotation-induced Taylor vortex enhances filtrate flux in plasma separation.Trans.Am.Soc.Artif.Intern.Organs 34,300-307.
OR,A.C.1997 Finite-wavelength instability in a horizontal liquid layer on an oscillating plane.J.Fluid Mech.335,213-232.
OR,A.C.& KELLY,R.E.1995 Onset of Marangoni convection in a layer of fluid modulated by a weak nonplanar oscillatory shear.Intl J.Heat Mass Transfer 38,2269-2279.
OR,A.C.& KELLY,R.E.1998 Thermocapillary and oscillatory-shear instabilities in a layer of liquid with a deformable surface.J.Fluid Mech.360,21-39.
ORON,A.,DAVIS,S.H.& BANKOFF,S.G.1997 Long-scale evolution of thin liquid films.Rev.Mod.Phys.69,931-980.
ORR,W.M.1907 Stability or instability of the steady motions of a fluid.Proc.R.Irish Acad.A 27,69-138.
ORSZAG,S.A.1971 Accurate solution of the Orr-Sommerfeld stability equation.J.Fluid Mech.50,689-703.
OSTRACH,S.1982 Low-gravity fluid flows.Annu.Rev.Fluid.Mech.14,313-345.
PEARLSTEIN,A.J.1981 Effect of rotation on the stability of a doubly diffusive fluid layer.J.Fluid Mech.103,389-412.
PEYRET,R.2002 Spectral Methods for Incompressible Viscous Flow.Springer-Verlag.
POTTER,M.C.1966 Stability of plane Couette-Poiseuille flow.J.Fluid Mech.24,609-619.
POZRIKIDIS,C.2003 Effect of surfactants on film flow down a periodic wall.J.Fluid Mech.496,105-127.
PROBSTEIN,R.F.1994 Physicochemical Hydrodynamics:An Introduction.New York:Wiley and Sons Inc.
RENARDY,Y.1985 Instability at the interface between two shearing fluids in a channel.Phys.Fluids 28,3441-3443.
ROBERTS,P.J.D.2001 Boundary layer instability induced by distributed surface suction.PhD thesis,The University of Western Ontario,Canada.
SCHLICHTING,H.1979 Boundary Layer Theory.McGraw-Hill.
SCHMID,P.J.& HENNINGSON,D.S.2001 Stability and Transition in Shear Flows.Springer.
SCHWILLE,J.A.,MITRA,D.& LUEPTOW,R.M.2002 Design parameters for rotating filtration.J.Membr.Sci.204,53-65.
SELVARAJAN,S.,TULAPURKARA,E.G.& RAM,V.V.1999 Stability characteristics of wavy walled channel flows.Phys.Fluids 11,579-589.
SELVER.OV,K.P.& STONE,n.A.2001 Peristaltically driven channel flows with applications towards micro-mixing.Phys.Fluids 13,1837-1859.
SEMINARA,G.& HALL,P.1976 Centrifugal instablity of a Stokes layer.Pwc.R.Soc.A 350,299-316.
SHAH,T.N.,YOON,Y.,PEDERSON,C.L.& LUEPTOW,R.M.2006 Rotating reverse osmosis and spiral wound reverse osmosis filtration:A comparison.J.Membr.Sci.285,353-361.
SHEPPARD,D.M.1972 Hydrodynamic stability of the flow between parallel porous walls.Phys.Fluids 15,241-244.
SINGER,B.A.,FERZIGER,J.H.& REED,H.L.1989 Numerical simulations of transition in oscillatory plane channel flow.J.Fluid Mech.208,45-66.
SKARDA,J.R.L.2001 Instability of a gravity-modulated fluid layer with surface tension variation.J.Fluid Mech.434,243-271.
SMITH,M.K.1990 The mechanism for the long-wave instability in thin liquid films.J.Fluid Mech.217,469-485.
SOMMERFELD,A.1908 Ein beitrag zur hydrodynamischen erklaerung der turbulenten fluessigkeitsbewegungen.Proc.4th Intel Congr.Math.Ⅲ,116-124,Rome.
DE SOUZA,M.O.1998 Instabilities of rotating and unsteady flows.PhD thesis,Darwin College,University of Cambridge.
SQUIRE,H.B.1933 On the stability for three-dimensional disturbances of viscous fluid flow between parallel walls.Proc.R.Soc.A 142,621-628.
STONE,H.A.1990 A simple derivation of the time-dependent convection diffusion equation for surfactant transport along a deforming interface.Phys.Fluids A 2,111-112.
STRAATMAN,A.G.,KHAYAT,R.E.,HAJ-QASEM,E.& STEINMAN,D.A.2002
On the hydrodynamic stability of pulsatile flow in a plane channel.Phys.Fluids 14,1938-1944.
SUMITANI,Y.& KASAGI,N.1995 Direct numerical simulation of turbulent transport with uniform wall injection and suction.AIAA J.33,1220-1228.
SURESH,V.2004 Stability of time-modulated electro-osmotic flow.Phys.Fluids 16,2349-2356.
SZUMBARSKI,J.J.& FLORYAN,J.M.2000 Channel flow instability in presence of weak distributed surface suction.AIAA J.38,372-374.
THIELE,V.,VEGA,M.& KNOBLOCH,E.2006 Long-wave Marangoni instability with vibration.J.Fluid Mech.546,61-87.
VITTORI,G.& VERZICCO,a.1998 Direct simulation of transition in an oscillatory boundary layer.J.Fluid Mech.371,207-232.
VUILLOT,F.1995 Vortex-shedding phenomena in solid rocket motors.J.Propulsion and Power 11,626-639.
WANG,C.K.,SEABORG,J.J.& LIN,S.P.1978 Instability of multi-layered liquid films.Phys.Fluids 21,1669-1673.
WEI,H.-H.2005α Effect of surfactant on the long-wave instability of a shear-imposed liquid flow down an inclined plane.Phys.Fluids 17,012103.
WEI,H.-H.2005b On the flow-induced Marangoni instability due to the presence of surfactant.J.Fluid Mech.544,173-200.
WEI,H.-H.,HALPERN,D.& GROTBERG,J.B.2005 Linear stability of a surfactantladen annular film in a time-periodic pressure-driven flow through a capillary.J.Colloid Interface Sci.285,769-780.
WEIDEMAN,J.A.C.& REDDY,S.C.2000 A MATLAB differentiation matrix suite.ACM Trans.Math.Softw.26,465-519.
WEINSTEIN,S.J.,BAUMLIN,J.M.& SERVANT,J.1993 The propagation of surface waves in flow down an oscillating inclined plane.AIChE J.39,1113-1123.
WEINSTEIN,S.J.& CHEN,K.P.1999 Large growth rate instabilities in three-layer flow down an incline in the limit of zero reynolds number.Phys.Fluids 11,3270-3282.
WEINSTEIN,S.J.& KURz,M.R.1991 Long-wavelength instabilities in three-layer flow down an incline.Phys.Fluids A 3,2680-2687.
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