In this study,the new method of the vortex core line based on Liutex definition,also known as Liutex core line,is applied to support the hypothesis that the vortex ring is not a part of theΛ-vortex and the formation ...In this study,the new method of the vortex core line based on Liutex definition,also known as Liutex core line,is applied to support the hypothesis that the vortex ring is not a part of theΛ-vortex and the formation of the ring-like vortex is formed separately from theΛ-vortex.The proper orthogonal decomposition(POD)is also applied to analyze the Kelvin-VHelmholtz(K-H)instability happening in hairpin ring areas of the flow transition on the flat plate to understand the mechanism of the ring-like vortex formation.The new vortex identification method named modified Liutex-Omega method is efficiently used to visualize and observe the shapes of vortex structures in 3-D.The streamwise vortex structure characteristics can be found in POD mode one as the mean flow.The other POD modes are in stremwise and spanwise structures and have the fluctuation motions,which are induced by K-H instability.Moreover,the result shows that POD modes are in pairs and share the same characteristics such as amplitudes,mode shapes,and time evolutions.The vortex core and POD results confirm that theΛ-vortex is not self-deformed to a hairpin vortex,but the hairpin vortex is formed by the K-H instability during the development of Lambda vortex to hairpin vortex in the boundary layer flow transition.展开更多
The temporal instability of parallel viscous two-phase mixing layers is extended to current-fluid mud by considering a composite error function velocity profile. The influence of viscosity ratio, Reynolds number, and ...The temporal instability of parallel viscous two-phase mixing layers is extended to current-fluid mud by considering a composite error function velocity profile. The influence of viscosity ratio, Reynolds number, and Froude number on the instability of the system are discussed and a new phenomenon never discussed is investigated based on our numerical results. It is shown that viscosity can enlarge the unstable wave number range, cause new instability modes, and certainly reduce the growth rate of Kelvin-Helmholtz (K-H) instability.展开更多
We study liquid-vapor phase separation under shear via the Shan-Chen lattice Boltzmann model. Besides the rheological characteristics, we analyze the Kelvin-Helmholtz (K-H) instability resulting from the tangential ve...We study liquid-vapor phase separation under shear via the Shan-Chen lattice Boltzmann model. Besides the rheological characteristics, we analyze the Kelvin-Helmholtz (K-H) instability resulting from the tangential velocity difference of the fluids on two sides of the interface. We discuss also the growth behavior of droplets. The domains being close to the walls are lamellar-ordered, where the hydrodynamic effects dominate. The patterns in the bulk of the system are nearly isotropic, where the domain growth results mainly from the diffusion mechanism. Both the interfacial tension and the K-H instability make the liquid-bands near the walls tend to rupture. When the shear rate increases, the inequivalence of evaporation in the upstream and coagulation in the downstream of the flow as well as the role of surface tension make the droplets elongate obliquely. Stronger convection makes easier the transferring of material particles so that droplets become larger.展开更多
Areview about K-H instability related to comet tail is presented.The effect of dust graing on KHI is theoretically analysed and relations of critical shear to excit KHI with the properties of dust grains both for shea...Areview about K-H instability related to comet tail is presented.The effect of dust graing on KHI is theoretically analysed and relations of critical shear to excit KHI with the properties of dust grains both for sheared ion flow and for sheared dust flow re put out.Their possible application in comet tail is suggested.展开更多
Separated shear layer of blunt circular cylinder has been experimentally investigated for the Reynolds numbers (based on the diameter) ranging from 2.8 x 10(3) to 1.0 x 10(5), with emphasis on evolution of separated s...Separated shear layer of blunt circular cylinder has been experimentally investigated for the Reynolds numbers (based on the diameter) ranging from 2.8 x 10(3) to 1.0 x 10(5), with emphasis on evolution of separated shear layer, its structure and distribution of Reynolds shear stress and turbulence kinetic energy. The results demonstrate that laminar separated shear layer experiences 2 similar to 3 times vortex merging before it reattaches, and turbulence separated shear layer takes 5 similar to 6 times vortex merging. In addition, relationship between dimensionless initial frequencies of K-H instability and Reynolds numbers is identified, and reasons for the decay of turbulence kinetic energy and Reynolds shear stress in reattachment region are discussed.展开更多
ZHOU Bai-Bin *,1,2 WEI Yong-De 1 LI Zhong-Hua 1 ( 1 Department of Applied Chemistry,Ha rbin Institute of Technology £?Harbin£±£ì£°£°£°£±£(c)( 2 Department of Chemistry,Harbin Norm...ZHOU Bai-Bin *,1,2 WEI Yong-De 1 LI Zhong-Hua 1 ( 1 Department of Applied Chemistry,Ha rbin Institute of Technology £?Harbin£±£ì£°£°£°£±£(c)( 2 Department of Chemistry,Harbin Normal University£?Harbin£±£ì£°£°£?£°£(c) The air-solid interface reaction of Ce,Lu with K10 H 3[Gd (SiMo 4 W£*O£3£1£(c) 2]through chemistry-heated permeation is reported for the fi rst time£(r)The permeated complex is characterized by ICP and the result shows tha t the mini mum Ce,Lu can permeate into the inner sph ere of K 10 H £3 £?Gd £¨SiMo £′ W £* O £3£1 £(c) 2]The IR ,XRD patterns give the eviden ce that after permeation the comple x still keeps the Keggin structure,howe ver,its crystal structure is different from the complex before permeation£(r)The cond uctivity of the permeated complex has been measured with the four-electr ode method and the data show that the co nductivity of the complex after permeation is 10 6 times higher than that of the sample before permeation and reaches £′£(r)84 6×10 -1 S·cm -1 £(r)These indicate that the permeated c omplex is a good solid electrolyte and further appli cations are also expected£(r)展开更多
基金The authors thank the Department of Mathematics of University of Texas at Arlington and Royal Thai Government for the financial support.
文摘In this study,the new method of the vortex core line based on Liutex definition,also known as Liutex core line,is applied to support the hypothesis that the vortex ring is not a part of theΛ-vortex and the formation of the ring-like vortex is formed separately from theΛ-vortex.The proper orthogonal decomposition(POD)is also applied to analyze the Kelvin-VHelmholtz(K-H)instability happening in hairpin ring areas of the flow transition on the flat plate to understand the mechanism of the ring-like vortex formation.The new vortex identification method named modified Liutex-Omega method is efficiently used to visualize and observe the shapes of vortex structures in 3-D.The streamwise vortex structure characteristics can be found in POD mode one as the mean flow.The other POD modes are in stremwise and spanwise structures and have the fluctuation motions,which are induced by K-H instability.Moreover,the result shows that POD modes are in pairs and share the same characteristics such as amplitudes,mode shapes,and time evolutions.The vortex core and POD results confirm that theΛ-vortex is not self-deformed to a hairpin vortex,but the hairpin vortex is formed by the K-H instability during the development of Lambda vortex to hairpin vortex in the boundary layer flow transition.
基金supported by the National Nature Science Foundation of China(11172307 and11232012)973 Program(2014CB046200)
文摘The temporal instability of parallel viscous two-phase mixing layers is extended to current-fluid mud by considering a composite error function velocity profile. The influence of viscosity ratio, Reynolds number, and Froude number on the instability of the system are discussed and a new phenomenon never discussed is investigated based on our numerical results. It is shown that viscosity can enlarge the unstable wave number range, cause new instability modes, and certainly reduce the growth rate of Kelvin-Helmholtz (K-H) instability.
基金Supported by the National Natural Science Foundation of China (Grant Nos. 10775018 and 10702010)the National Basic Research Program of China (Grant No. 2007CB815105)the Science Foundations of LCP and CAEP
文摘We study liquid-vapor phase separation under shear via the Shan-Chen lattice Boltzmann model. Besides the rheological characteristics, we analyze the Kelvin-Helmholtz (K-H) instability resulting from the tangential velocity difference of the fluids on two sides of the interface. We discuss also the growth behavior of droplets. The domains being close to the walls are lamellar-ordered, where the hydrodynamic effects dominate. The patterns in the bulk of the system are nearly isotropic, where the domain growth results mainly from the diffusion mechanism. Both the interfacial tension and the K-H instability make the liquid-bands near the walls tend to rupture. When the shear rate increases, the inequivalence of evaporation in the upstream and coagulation in the downstream of the flow as well as the role of surface tension make the droplets elongate obliquely. Stronger convection makes easier the transferring of material particles so that droplets become larger.
文摘Areview about K-H instability related to comet tail is presented.The effect of dust graing on KHI is theoretically analysed and relations of critical shear to excit KHI with the properties of dust grains both for sheared ion flow and for sheared dust flow re put out.Their possible application in comet tail is suggested.
基金The proJect supported by the National Natural Science Foundation of Chinathe Key Laboratory for Hydrodynamics of NDCST
文摘Separated shear layer of blunt circular cylinder has been experimentally investigated for the Reynolds numbers (based on the diameter) ranging from 2.8 x 10(3) to 1.0 x 10(5), with emphasis on evolution of separated shear layer, its structure and distribution of Reynolds shear stress and turbulence kinetic energy. The results demonstrate that laminar separated shear layer experiences 2 similar to 3 times vortex merging before it reattaches, and turbulence separated shear layer takes 5 similar to 6 times vortex merging. In addition, relationship between dimensionless initial frequencies of K-H instability and Reynolds numbers is identified, and reasons for the decay of turbulence kinetic energy and Reynolds shear stress in reattachment region are discussed.
文摘ZHOU Bai-Bin *,1,2 WEI Yong-De 1 LI Zhong-Hua 1 ( 1 Department of Applied Chemistry,Ha rbin Institute of Technology £?Harbin£±£ì£°£°£°£±£(c)( 2 Department of Chemistry,Harbin Normal University£?Harbin£±£ì£°£°£?£°£(c) The air-solid interface reaction of Ce,Lu with K10 H 3[Gd (SiMo 4 W£*O£3£1£(c) 2]through chemistry-heated permeation is reported for the fi rst time£(r)The permeated complex is characterized by ICP and the result shows tha t the mini mum Ce,Lu can permeate into the inner sph ere of K 10 H £3 £?Gd £¨SiMo £′ W £* O £3£1 £(c) 2]The IR ,XRD patterns give the eviden ce that after permeation the comple x still keeps the Keggin structure,howe ver,its crystal structure is different from the complex before permeation£(r)The cond uctivity of the permeated complex has been measured with the four-electr ode method and the data show that the co nductivity of the complex after permeation is 10 6 times higher than that of the sample before permeation and reaches £′£(r)84 6×10 -1 S·cm -1 £(r)These indicate that the permeated c omplex is a good solid electrolyte and further appli cations are also expected£(r)