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Produktbild: Stability of Fluid Motions I
Band 27

Stability of Fluid Motions I

Aus der Reihe Springer Tracts in Natural Philosophy

99,99 €

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

30.12.2011

Verlag

Springer Berlin

Seitenzahl

282

Maße (L/B/H)

24,4/15,6/1,7 cm

Gewicht

478 g

Auflage

Softcover reprint of the original 1st ed. 1976

Sprache

Englisch

ISBN

978-3-642-80993-4

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

30.12.2011

Verlag

Springer Berlin

Seitenzahl

282

Maße (L/B/H)

24,4/15,6/1,7 cm

Gewicht

478 g

Auflage

Softcover reprint of the original 1st ed. 1976

Sprache

Englisch

ISBN

978-3-642-80993-4

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Stability of Fluid Motions I
  • 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.