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1. Hydrodynamic stability [2004]
 Drazin, P. G.
 2nd ed.  Cambridge, UK ; New York : Cambridge University Press, 2004.
 Description
 Book — xx, 605 p. : ill. ; 23 cm.
 Summary

 Foreword Preface
 1. Introduction
 2. Thermal instability
 3. Centrifugal instability
 4. Parallel shear flows
 5. Uniform asymptotic approximations
 6. Additional topics in linear stability theory
 7. Nonlinear stability Appendix A. A class of generalized Airy functions Appendix B. Solutions to the problems Bibliography Motion picture index Subject index.
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(source: Nielsen Book Data) 9780521525411 20160528
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ME451B01
 Course
 ME451B01  Advanced Fluid Mechanics Flow Instability
 Instructor(s)
 Lele, Sanjiva K
 Criminale, William O.
 Cambridge, U.K. ; New York : Cambridge University Press, 2003.
 Description
 Book — xxii, 441 p. : ill. ; 24 cm.
 Summary

 1. Introduction and problem formulation
 2. Temporal stability of inviscid incompressible flows
 3. Temporal stability of viscous incompressible flows
 4. Spatial stability of incompressible flows
 5. Stability of compressible flows
 6. Centrifugal stability
 7. Geophysical flow
 8. Transient dynamics
 9. Nonlinear stability
 10. Transition and receptivity
 11. Direct numerical simulation
 12. Flow control and optimization
 13. Investigating hydrodynamic instabilities with experiments Bibliography Index.
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(source: Nielsen Book Data) 9780521632003 20160528
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 ME451B01  Advanced Fluid Mechanics Flow Instability
 Instructor(s)
 Lele, Sanjiva K
3. Stability and transition in shear flows [2001]
 Schmid, Peter J.
 New York : Springer, c2001.
 Description
 Book — xiii, 556 p. : ill. ; 25 cm.
 Summary

 Introduction. General results. Linear inviscid analysis. Eigensolutions to the viscous problem. Linear transient growth. Nonlinear results. The spatial problem. Appendix A. Notes on numerical methods for accurate results. Appendix B. Model problem.
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(source: Nielsen Book Data) 9780387989853 20160528
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ME451B01
 Course
 ME451B01  Advanced Fluid Mechanics Flow Instability
 Instructor(s)
 Lele, Sanjiva K
4. Hydrodynamic stability [1981]
 Drazin, P. G.
 Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1981.
 Description
 Book — xiv, 525 p. : ill. ; 22 cm.
 Summary

 Preface
 1. Introduction
 2. Thermal instability
 3. Centrifugal instability
 4. Parallel shear flows
 5. Uniform asymptotic approximations
 6. Additional topics in linear stability theory
 7. Nonlinear stability Appendix Bibliography and indexes.
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(source: Nielsen Book Data) 9780521227988 20160528
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ME451B01
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 ME451B01  Advanced Fluid Mechanics Flow Instability
 Instructor(s)
 Lele, Sanjiva K
5. Stability of fluid motions [1976]
 Joseph, Daniel D.
 Berlin ; New York : SpringerVerlag, 1976.
 Description
 Book — 2 v. : ill. ; 25 cm.
 Online
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ME451B01
 Course
 ME451B01  Advanced Fluid Mechanics Flow Instability
 Instructor(s)
 Lele, Sanjiva K
 Joseph, Daniel D.
 Berlin, Heidelberg : Springer Berlin Heidelberg, 1976.
 Description
 Book — 1 online resource (volumes)
 Summary

 1. Global Stability and Uniqueness.
 1. The Initial Value Problem and Stability.
 2. Stability Criteriathe Basic Flow.
 3. The Evolution Equation for the Energy of a Disturbance.
 4. Energy Stability Theorems.
 5. Uniqueness. Notes for
 Chapter I. (a) The Reynolds Number. (b) Bibliographical Notes. II. Instability and Bifurcation.
 6. The Global Stability Limit.
 7. The Spectral Problem of Linear Theory.
 8. The Spectral Problem and Nonlinear Stability.
 9. Bifurcating Solutions.
 10. Series Solutions of the Bifurcation Problem.
 11. The Adjoint Problem of the Spectral Theory.
 12. Solvability Conditions.
 13. Subcritical and Supercritical Bifurcation.
 14. Stability of the Bifurcating Periodic Solution.
 15. Bifurcating Steady Solutions Instability and Recovery of Stability of Subcritical Solutions.
 16. Transition to Turbulence by Repeated Supercritical Bifurcation. Notes for
 Chapter II. III. Poiseuille Flow: The Form of the Disturbance whose Energy Increases Initially at the Largest Value of v.
 17. Laminar Poiseuille Flow.
 18. The Disturbance Flow.
 19. Evolution of the Disturbance Energy.
 20. The Form of the Most Energetic Initial Field in the Annulus.
 21. The Energy Eigenvalue Problem for HagenPoiseuille Flow.
 22. The Energy Eigenvalue Problem for Poiseuille Flow between Concentric Cylinders. (a) Parabolic Poiseuille Flow. (b) Poiseuille Flow in an Annular Pipe.
 23. Energy Eigenfunctionsan Application of the Theory of Oscillation kernels.
 24. On the Absolute and Global Stability of Poiseuille Flow to Disturbances which are Independent of the Axial Coordinate.
 25. On the Growth, at Early Times, of the Energy of the Axial Component of Velocity.
 26. How Fast Does a Stable Disturbance Decay. IV. Friction Factor Response Curves for Flow through Annular Ducts.
 27. Responce Functions and Response Functionals.
 28. The Fluctuation Motion and the Mean Motion.
 29. Steady Causes and Steady Effects.
 30. Laminar and Turbulent Comparison Theorems.
 31. A Variational Problem for the Least Pressure Gradient in Statistically Stationary Turbulent Poiseuille Flow with a Given Mass Flux Discrepancy.
 32. Turbulent Plane Poiseuille Flowa Lower Bound for the Response Curve.
 33. The Response Function Near the Point of Bifurcation.
 34. Construction of the Bifurcating Solution. (a) The Spectral Problem. (b) The Perturbation Series. (c) Some Properties of the Bifurcating Solution.
 35. Comparison of Theory and Experiment. (a) Instability of Laminar Poiseuille Flow. (b) Description of the Diagrams. (c) Inferences and Conjectures. Notes for
 Chapter IV. V. Global Stability of Couette Flow between Rotating Cylinders.
 36. Couette Flow, Taylor Vortices, Wavy Vortices and Other Motions which Exist between the Cylinders.
 37. Global Stability of Nearly Rigid Couette Flows.
 38. Topography of the Response Function, Rayleigh's Discriminant...
 39. Remarks about Bifurcation and Stability.
 40. Energy Analysis of Couette Flow Nonlinear Extension of Synge's Theorem.
 41. The Optimum Energy Stability Boundary for Axisymmetric Disturbances of Couette Flow.
 42. Comparison of Linear and Energy Limits. VI. Global Stability of Spiral CouettePoiseuille Flows.
 43. The Basic Spiral Flow. Spiral Flow Angles.
 44. Eigenvalue Problems of Energy and Linear Theory.
 45. Conditions for the Nonexistence of Subcritical Instability.
 46. Global Stability of Poiseuille Flow between Cylinders which Rotate with the Same Angular Velocity.
 47. Disturbance Equations for Rotating Plane Couette Flow.
 48. The Form of the Disturbance Whose Energy Increases at the Smallest R.
 49. Necessary and Sufficient Conditions for the Global Stability of Rotating Plane Couette Flow.
 50. Rayleigh's Criterion for the Instability of Rotating Plane Couette Flow, Wave Speeds.
 51. The Energy Problem for Rotating Plane Couette Flow when Spiral Disturbances are Assumed from the Start.
 52. Numerical and Experimental Results. VII. Global Stability of the Flow between Concentric Rotating Spheres.
 53. Flow and Stability of Flow between Spheres. (a) Basic Flow. (b) Stability Analysis. (c) Experimental and Numerical Results. Appendix A. Elementary Properties of Almost Periodic Functions. Appendix B. Variational Problems for the Decay Constants and the Stability Limit. B
 1. Decay Constants and Minimum Problems. B
 2. Fundamental Lemmas of the Calculus of Variations. B
 6. Representation Theorem for Solenoidal Fields. B
 8. The Energy Eigenvalue Problem. B
 9. The Eigenvalue Problem and the Maximum Problem. Notes for Appendix B. Appendix C. Some Inequalities. Appendix D. Oscillation Kernels. Appendix E. Some Aspects of the Theory of Stability of Nearly Parallel Flow. E
 1. OrrSommerfeld Theory in a Cylindrical Annulus. E
 2. Stability and Bifurcation of Nearly Parallel Flows. References.
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(source: Nielsen Book Data) 9783642809934 20160619
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 ME451B01  Advanced Fluid Mechanics Flow Instability
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 Lele, Sanjiva K
7. Stability of Fluid Motions II [1976]
 Joseph, Daniel D.
 Berlin, Heidelberg : Springer Berlin Heidelberg, 1976.
 Description
 Book — 1 online resource.
 Summary

 VIII. The OberbeckBoussinesq Equations. The Stability of Constant Gradient Solutions of the OberbeckBoussinesq Equations.
 54. The OberbeckBoussinesq Equations for the Basic Flow.
 55. Boundary Conditions. (a) Temperature Conditions. (b) Concentration Boundary Conditions. (c) Velocity Boundary Conditions.
 56. Equations Governing Disturbances of Solutions of the OB Equations.
 57. The ? Family of Energy Equations.
 58. Kinematic Admissibility, Sufficient Conditions for Stability.
 59. Motionless Solutions of the OberbeckBoussinesq Equations.
 60. Physical Mechanisms of Instability of the Motionless State.
 61. Necessary and Sufficient Conditions for Stability.
 62. The Benard Problem.
 63. Plane Couette Flow Heated from below.
 64. The Buoyancy Boundary Layer. IX. Global Stability of Constant TemperatureGradient and ConcentrationGradient States of a Motionless Heterogeneous Fluid.
 65. Mechanics of the Instability of the ConductionDiffusion Solutions in a Motionless Heterogeneous Fluid.
 66. Energy Stability of Heated below and Salted above.
 67. Heated and Salted from below: Linear Theory.
 68. Heated and Salted below: Energy Stability Analysis.
 69. Heated and Salted below: Generalized Energy Analysis. Addendum for
 Chapter IX: Generalized Energy Theory of Stability for Hydromagnetic Flows. X. TwoSided Bifurcation into Convection.
 70. The DOB Equations for Convention of a Fluid in a Container of Porous Material.
 71. The Spectral Problem, the Adjoint Spectral Problem and the Energy Theory of Stability.
 72. TwoSided Bifurcation. (a) Simple Eigenvalue. (b) Multiple Eigenvalues. (c) Stability of Bifurcating Solutions at Eigenvalues of Higher Multiplicity.
 73. Conditions for the Existence of TwoSided Bifurcation. (a) Axisymmetric Convection in Round Containers. (b) Nonaxisymmetric Convection in Round Containers. (c) Convection in a Hexagonal Container. (d) Stability of Solutions Bifurcating at an Eigenvalue of Multiplicity N. (e) Stability of Bifurcating Hexagonal Convection. (f) OneSided Convection in Containers of Rectangular CrossSection. (g) The Benard Problem for a DOB Fluid in a Container.
 74. TwoSided Bifurcation between Spherical Shells.
 75. Stability of the Conduction Solution in a Container Heated below and Internally.
 76. Taylor Series in Two Parameters.
 77. TwoSided Bifurcation in a Laterally Unbounded Layer of Fluid. (a) Spectral Crowding. (b) Cellular Convection. (c) Stability and the Sign of the Motion in Cellular Convection. Addendum to
 Chapter X: Bifurcation Theory for Multiple Eigenvalues. (a) Membrane Eigenvalues Perturbed by a Nonlinear Term. (b) Bifurcation from a Simple Eigenvalue. (c) Bifurcation from a Multiple Eigenvalue. (d) The Orthogonal Decomposition. (e) Solvability Conditions. (f) Perturbation of a Linear Problem at a Double Eigenvalue. (g) Bifurcation from a Double Eigenvalue: An Example where the Initiating Solvability Condition Occurs at Order l =1 (?1 ? 0). (h) Bifurcation from a Double Eigenvalue: An Example where the Initiating Solvability Condition Occurs at Order l = 2(?1 = 0, ?2 ? 0). XI. Stability of Supercritical ConvectionWave Number Selection Through Stability.
 78. Statistically Stationary Convection and Steady Convection.
 79. Stability of Rolls to Noninteracting ThreeDimensional Disturbances.
 80. Nonlinear Neutral Curves for ThreeDimensional Disturbances of Roll Convection. (a) ObliqueRoll and CrossRoll Instabilities. (b) Varicose Instabilities. (c) Sinuous Instabilities.
 81. Computation of Stability Boundaries by Numerical Methods.
 82. The Amplitude Equation of Newell and Whitehead. XII. The Variational Theory of Turbulence Applied to Convection in Porous Materials Heated from below.
 83. Bounds on the Heat Transported by Convection.
 84. The Form of the Admissible Solenoidal Fluctuation Field Which Minimizes ? [u, ? ?].
 85. Mathematical Properties of the Multi? Solutions.
 86. The single? Solution and the Situation for Small ?.
 87. Boundary Layers of the Single? Solution.
 88. The Two? Solution.
 89. BoundaryLayers of the Multi? Solutions.
 90. An Improved Variational Theory Which Makes Use of the Fact that B is Small.
 91. Numerical Computation of the Single? and Two? Solution. Remarks about the Asymptotic Limit ? ? ?.
 92. The Heat Transport Curve: Comparison of Theory and Experiment. XIII. Stability Problems for Viscoelastic Fluids.
 93. Incompressible Simple Fluids. Functional Expansions and Stability. (a) Functional Expansions of ?, Stability and Bifurcation. (b) Generation of the History of a Motion. (c) Stability and Bifurcation of Steady Flow.
 94. Stability and Bifurcation of the Rest State. (a) Slow Motion. (b) TimeDependent Perturbations of the Rest State. (c) Stability of the Rest State. (d) Bifurcation of the Rest State of a Simple Fluid Heated from below.
 95. Stability of Motions of a Viscoelastic Fluid. (a) The Climbing Fluid Instability. (b) Symmetry Breaking Instabilities of the TimePeriodic Motion Induced by Torsional Oscillations of a Rod. (c) The Striping Instability. (d) Tall Taylor Cells in Polyacrylamide. XIV. Interfacial Stability.
 96. The Mechanical Energy Equation for the Two Fluid System.
 97. Stability of the Interface between Motionless Fluids When the Contact Line is Fixed.
 98. Stability of a Column of Liquid Resting on a Column of Air in a Vertical TubeStatic Analysis.
 99. Stability of a Column of Liquid Resting on a Column of Air in a Vertical TubeDynamic Analysis. Notes for
 Chapter XIV. References.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9783642809965 20170418
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ME451B01
 Course
 ME451B01  Advanced Fluid Mechanics Flow Instability
 Instructor(s)
 Lele, Sanjiva K