Chaotic advection in bounded Navier–Stokes flows
暂无分享,去创建一个
[1] S. A. Robertson,et al. NONLINEAR OSCILLATIONS, DYNAMICAL SYSTEMS, AND BIFURCATIONS OF VECTOR FIELDS (Applied Mathematical Sciences, 42) , 1984 .
[2] Swinney,et al. Mass transport in turbulent Couette-Taylor flow. , 1987, Physical review. A, General physics.
[3] G. Batchelor,et al. An Introduction to Fluid Dynamics , 1968 .
[4] Shraiman,et al. Diffusive transport in a Rayleigh-Bénard convection cell. , 1987, Physical review. A, General physics.
[5] S. Wiggins. Introduction to Applied Nonlinear Dynamical Systems and Chaos , 1989 .
[6] A N,et al. A study of particle paths in non-axisymmetric Taylor – Couette flows , 2022 .
[7] S. Wiggins,et al. On the integrability and perturbation of three-dimensional fluid flows with symmetry , 1994 .
[8] Charles L. Cooney,et al. Axial dispersion in Taylor‐Couette flow , 1995 .
[9] Igor Mezic,et al. On the geometrical and statistical properties of dynamical systems : theory and applications , 1994 .
[10] V. Arnold. Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits , 1966 .
[11] H. Aref. Stirring by chaotic advection , 1984, Journal of Fluid Mechanics.
[12] R. Caflisch,et al. Navier-Stokes equations on an exterior circular domain: construction of the solution and the zero viscosity limit* , 1997 .
[13] R. Donnelly,et al. An empirical torque relation for supercritical flow between rotating cylinders , 1960, Journal of Fluid Mechanics.
[14] Stephen Wiggins. Global Bifurcations and Chaos: Analytical Methods , 1988 .
[15] S. Wiggins,et al. An analytical study of transport, mixing and chaos in an unsteady vortical flow , 1990, Journal of Fluid Mechanics.
[16] R. D. Prima,et al. On the instability of Taylor vortices , 1968, Journal of Fluid Mechanics.
[17] Robert S. MacKay,et al. Transport in 3D volume-preserving flows , 1994 .
[18] Gregory P. King,et al. Wave speeds in wavy Taylor-vortex flow , 1984, Journal of Fluid Mechanics.
[19] G. Sposito. On steady flows with lamb surfaces , 1997 .
[20] Reduction of three-dimensional, volume-preserving flows with symmetry , 1998 .
[21] Philip S. Marcus,et al. Simulation of Taylor-Couette flow. Part 2. Numerical results for wavy-vortex flow with one travelling wave , 1984, Journal of Fluid Mechanics.
[22] D. Coles. Transition in circular Couette flow , 1965, Journal of Fluid Mechanics.
[23] Murray Rudman,et al. Mixing and particle dispersion in the wavy vortex regime of Taylor–Couette flow , 1998 .
[24] Richard M. Lueptow,et al. Spatio-temporal character of non-wavy and wavy Taylor–Couette flow , 1998, Journal of Fluid Mechanics.
[25] Solomon,et al. Role of Lobes in Chaotic Mixing of Miscible and Immiscible Impurities. , 1996, Physical review letters.
[26] S. Wiggins. Normally Hyperbolic Invariant Manifolds in Dynamical Systems , 1994 .
[27] Gert Desmet,et al. Local and global dispersion effects in Couette-Taylor flow—II. Quantitative measurements and discussion of the reactor performance , 1996 .
[28] S. Strogatz,et al. Chaotic streamlines inside drops immersed in steady Stokes flows , 1991, Journal of Fluid Mechanics.
[29] H. K. Moffatt,et al. On a class of steady confined Stokes flows with chaotic streamlines , 1990, Journal of Fluid Mechanics.
[30] D. Broomhead,et al. Particle paths in wavy vortices , 1988 .
[31] Joseph Gruendler,et al. The Existence of Homoclinic Orbits and the Method of Melnikov for Systems in $R^n$ , 1985 .
[32] P. Holmes,et al. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.
[33] Russel E. Caflisch,et al. Zero Viscosity Limit for Analytic Solutions of the Navier-Stokes Equation on a Half-Space.¶ II. Construction of the Navier-Stokes Solution , 1998 .
[34] O. Piro,et al. Passive scalars, three-dimensional volume-preserving maps, and chaos , 1988 .
[35] G. P. King,et al. Eulerian diagnostics for Lagrangian chaos in three-dimensional Navier-Stokes flows , 1998 .
[36] Stephen Wiggins,et al. Maximal Effective Diffusivity for Time-Periodic Incompressible Fluid Flows , 1996, SIAM J. Appl. Math..
[37] Sanjeeva Balasuriya,et al. VISCOUS PERTURBATIONS OF VORTICITY-CONSERVING FLOWS AND SEPARATRIX SPLITTING , 1998 .
[39] S. Ryrie. Mixing by chaotic advection in a class of spatially periodic flows , 1992, Journal of Fluid Mechanics.
[40] Derek B. Ingham,et al. THE STEADY FLOW OF A VISCOUS FLUID DUE TO A ROTATING SPHERE , 1981 .
[41] Peter Ashwin,et al. Streamline topology in eccentric Taylor vortex flow , 1995, Journal of Fluid Mechanics.
[42] H. K. Moffatt,et al. Chaos Associated with Fluid Inertia , 1992 .
[43] Richard M. Lueptow,et al. A model of mixing and transport in wavy Taylor-Couette flow , 1998 .