1. Hydrodynamic stability [2004]
- Book
- xx, 605 p. : ill. ; 23 cm.
- 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.
- (source: Nielsen Book Data)9780521525411 20160528
(source: Nielsen Book Data)9780521525411 20160528
- 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.
- (source: Nielsen Book Data)9780521525411 20160528
(source: Nielsen Book Data)9780521525411 20160528
Engineering Library (Terman), eReserve
Engineering Library (Terman) | Status |
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On reserve: Ask at circulation desk | |
QA911 .D72 2004 | Unknown 2-hour loan |
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ME-451B-01
- Course
- ME-451B-01 -- Advanced Fluid Mechanics
- Instructor(s)
- Lele, Sanjiva K
- Book
- xxii, 441 p. : ill. ; 24 cm.
- 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.
- (source: Nielsen Book Data)9780521632003 20160528
(source: Nielsen Book Data)9780521632003 20160528
- 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.
- (source: Nielsen Book Data)9780521632003 20160528
(source: Nielsen Book Data)9780521632003 20160528
Engineering Library (Terman), eReserve
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QA911 .C75 2003 | Unknown 2-hour loan |
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ME-451B-01
- Course
- ME-451B-01 -- Advanced Fluid Mechanics
- Instructor(s)
- Lele, Sanjiva K
3. Stability and transition in shear flows [2001]
- Book
- xiii, 556 p. : ill. ; 25 cm.
- Introduction.- General results.- Linear inviscid analysis.- Eigensolutions to the viscous problem.- Linear transient growth.- Non-linear results.- The spatial problem.- Appendix A. Notes on numerical methods for accurate results.- Appendix B. Model problem.
- (source: Nielsen Book Data)9780387989853 20160528
(source: Nielsen Book Data)9780387989853 20160528
- Introduction.- General results.- Linear inviscid analysis.- Eigensolutions to the viscous problem.- Linear transient growth.- Non-linear results.- The spatial problem.- Appendix A. Notes on numerical methods for accurate results.- Appendix B. Model problem.
- (source: Nielsen Book Data)9780387989853 20160528
(source: Nielsen Book Data)9780387989853 20160528
Engineering Library (Terman)
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On reserve: Ask at circulation desk | |
QA922 .S36 2001 | Unknown 2-hour loan |
QA922 .S36 2001 | Unknown 2-hour loan |
ME-451B-01
- Course
- ME-451B-01 -- Advanced Fluid Mechanics
- Instructor(s)
- Lele, Sanjiva K
4. Hydrodynamic stability [1981]
- Book
- xiv, 525 p. : ill. ; 22 cm.
- 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.
- (source: Nielsen Book Data)9780521227988 20160528
(source: Nielsen Book Data)9780521227988 20160528
- 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.
- (source: Nielsen Book Data)9780521227988 20160528
(source: Nielsen Book Data)9780521227988 20160528
Engineering Library (Terman)
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On reserve: Ask at circulation desk | |
QA911 .D72 | Unknown 3-day loan |
ME-451B-01
- Course
- ME-451B-01 -- Advanced Fluid Mechanics
- Instructor(s)
- Lele, Sanjiva K
5. Stability of fluid motions [1976]
- Book
- 2 v. : ill. ; 25 cm.
Green Library, Engineering Library (Terman), SAL3 (off-campus storage)
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ME-451B-01
- Course
- ME-451B-01 -- Advanced Fluid Mechanics
- Instructor(s)
- Lele, Sanjiva K
- Book
- 1 online resource (volumes)
- 1. Global Stability and Uniqueness.- 1. The Initial Value Problem and Stability.- 2. Stability Criteria-the 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 Hagen-Poiseuille 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 Eigenfunctions-an 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 Flow-a 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 Couette-Poiseuille 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. Orr-Sommerfeld Theory in a Cylindrical Annulus.- E 2. Stability and Bifurcation of Nearly Parallel Flows.- References.
- (source: Nielsen Book Data)9783642809934 20160619
(source: Nielsen Book Data)9783642809934 20160619
- 1. Global Stability and Uniqueness.- 1. The Initial Value Problem and Stability.- 2. Stability Criteria-the 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 Hagen-Poiseuille 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 Eigenfunctions-an 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 Flow-a 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 Couette-Poiseuille 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. Orr-Sommerfeld Theory in a Cylindrical Annulus.- E 2. Stability and Bifurcation of Nearly Parallel Flows.- References.
- (source: Nielsen Book Data)9783642809934 20160619
(source: Nielsen Book Data)9783642809934 20160619
eReserve
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Instructor's copy | |
(no call number) | Unknown |
ME-451B-01
- Course
- ME-451B-01 -- Advanced Fluid Mechanics
- Instructor(s)
- Lele, Sanjiva K
7. Stability of Fluid Motions II [1976]
- Book
- 1 online resource.
- VIII. The Oberbeck-Boussinesq Equations. The Stability of Constant Gradient Solutions of the Oberbeck-Boussinesq Equations.- 54. The Oberbeck-Boussinesq 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 Oberbeck-Boussinesq 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 Temperature-Gradient and Concentration-Gradient States of a Motionless Heterogeneous Fluid.- 65. Mechanics of the Instability of the Conduction-Diffusion 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. Two-Sided 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. Two-Sided Bifurcation.- (a) Simple Eigenvalue.- (b) Multiple Eigenvalues.- (c) Stability of Bifurcating Solutions at Eigenvalues of Higher Multiplicity.- 73. Conditions for the Existence of Two-Sided 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) One-Sided Convection in Containers of Rectangular Cross-Section.- (g) The Benard Problem for a DOB Fluid in a Container.- 74. Two-Sided Bifurcation between Spherical Shells.- 75. Stability of the Conduction Solution in a Container Heated below and Internally.- 76. Taylor Series in Two Parameters.- 77. Two-Sided 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 Convection-Wave Number Selection Through Stability.- 78. Statistically Stationary Convection and Steady Convection.- 79. Stability of Rolls to Noninteracting Three-Dimensional Disturbances.- 80. Nonlinear Neutral Curves for Three-Dimensional Disturbances of Roll Convection.- (a) Oblique-Roll and Cross-Roll 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. Boundary-Layers 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) Time-Dependent 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 Time-Periodic 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 Tube-Static Analysis.- 99. Stability of a Column of Liquid Resting on a Column of Air in a Vertical Tube-Dynamic Analysis.- Notes for Chapter XIV.- References.
- (source: Nielsen Book Data)9783642809965 20170418
(source: Nielsen Book Data)9783642809965 20170418
- VIII. The Oberbeck-Boussinesq Equations. The Stability of Constant Gradient Solutions of the Oberbeck-Boussinesq Equations.- 54. The Oberbeck-Boussinesq 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 Oberbeck-Boussinesq 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 Temperature-Gradient and Concentration-Gradient States of a Motionless Heterogeneous Fluid.- 65. Mechanics of the Instability of the Conduction-Diffusion 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. Two-Sided 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. Two-Sided Bifurcation.- (a) Simple Eigenvalue.- (b) Multiple Eigenvalues.- (c) Stability of Bifurcating Solutions at Eigenvalues of Higher Multiplicity.- 73. Conditions for the Existence of Two-Sided 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) One-Sided Convection in Containers of Rectangular Cross-Section.- (g) The Benard Problem for a DOB Fluid in a Container.- 74. Two-Sided Bifurcation between Spherical Shells.- 75. Stability of the Conduction Solution in a Container Heated below and Internally.- 76. Taylor Series in Two Parameters.- 77. Two-Sided 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 Convection-Wave Number Selection Through Stability.- 78. Statistically Stationary Convection and Steady Convection.- 79. Stability of Rolls to Noninteracting Three-Dimensional Disturbances.- 80. Nonlinear Neutral Curves for Three-Dimensional Disturbances of Roll Convection.- (a) Oblique-Roll and Cross-Roll 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. Boundary-Layers 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) Time-Dependent 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 Time-Periodic 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 Tube-Static Analysis.- 99. Stability of a Column of Liquid Resting on a Column of Air in a Vertical Tube-Dynamic Analysis.- Notes for Chapter XIV.- References.
- (source: Nielsen Book Data)9783642809965 20170418
(source: Nielsen Book Data)9783642809965 20170418
Engineering Library (Terman)
Engineering Library (Terman) | Status |
---|---|
On reserve: Ask at circulation desk | |
(no call number) | Unknown |
ME-451B-01
- Course
- ME-451B-01 -- Advanced Fluid Mechanics
- Instructor(s)
- Lele, Sanjiva K