Collected Papers of Sir James Lighthill 4 Volume Set

by Lighthill, M. James; Hussaini, M. Yousuff

• ISBN13: 9780195092226
• ISBN10: 0195092228
• Format: Hardcover
• Copyright: 1996-12-05
• Publisher: Oxford University Press
• More Book Details

Summary

This four volume set contains almost all of the scientific papers of Sir Michael James Lighthill. One of the most distinguished scientists of the twentieth century and probably the central figure in many aspects of fluid mechanics, Lighthill's contributions to science include the initiation of the science of aerodynamic sound generation as well as historic work on shock waves, transonic aerodynamics, nonlinear physics, fluid dynamics, and the locomotion of fish, dolphins, and birds. Each volume is divided into sections which unify Lighthill's papers in chronological order under individual themes. The research studies included are classic examples of applied mathematical research, each characterized by a process of three equally important steps: problem formulation based on empiricism or observation, problem solution, and empirical verification, or solution interpretation in relation to the physical phenomena under consideration. Applied mathematics is a two-way bridge between mathematics and science and technology and is inherently interdisciplinary. These volumes bear out this thesis.

Table of Contents

General Introduction	xxiii	(4)
Curriculum Vitae	xxvii	(4)
Scientific Papers of Sir James Lighthill	xxxi
VOLUME I
Section A: Early Development of Supersonic Hydrodynamics
Introduction
1. Two-Dimensional Supersonic Aerofoil Theory (ARC)
2. The Conditions Behind the Trailing Edge of the Supersoni Aerofoil (ARC)
3. The Supersonic Theory of Wings of Finite Span (ARC)
4. A Note on Supersonic Biplanes (ARC)
5. Supersonic Flow Past Bodies of Revolution (ARC)
6. Supersonic Flow Past Slender Pointed Bodies of Revolution at Yaw (Quarterly Journal of Mechanics and Applied Mathematics)
7. Supersonic Flow Past Slender Bodies of Revolution the Slope of Whose Meridian Section Is Discontinous (Quarterly Journal of Mechanics and Applied Mathematics)
8. The Flow Behind a Stationary Shock (The Philosophical Magazine)
9. The Wave Drag at Zero Lift of Slender Delta Wings and Similar Configurations (Journal of Fluid Mechanics)
Section B: More General High-Speed Aerodynamics
Introduction
10. The Hodograph Transformation in Trans-Sonic Flow, parts I-IV (Proceedings of the Royal Society)
11. The Position of the Shock Wave in Certain Aerodynamic Problems (Quarterly Journal of Mechanics and Applied Mathematics)
12. Methods for Predicting Phenomena in the High-Speed Flow of Gases (Journal of Aeronautical Sciences)
13. A Technique for Rendering Approximate Solutions to Physical Problems Uniformly Valid (The Philosophical Magazine)
14. The Shock Strength in Supersonic "Conical Fields" (The Philosophical Magazine)
15. The Diffraction of Blast, I and II (Proceedings of the Royal Society)
16. The Energy Distribution Behind Decaying Shocks I. Plane Waves (The Philosophical Magazine)
17. Higher Approximations (in General Theory of High Speed Aerodynamics, Princeton University Press)
18. Oscillating Airfoils at High Mach Number (Journal of the Aeronautical Sciences)
19. Mathematical Methods in Compressible Flow Theory (Communications on Pure and Applied Mathematics)
Section C: Gas Dynamics Interacting with Gas Physics
Introduction
20. Viscosity Effects in Sound Waves of Finite Amplitude (Surveys in Mechanics)
21. Dynamics of a Dissociating Gas, parts I, II (Journal of Fluid Mechanics)
22. Studies on Megnetohydrodynamic Waves and Other Anisotropic Wave Motions (Proceedings of the Royal Society)
23. Note on Waves Through Gases at Pressures Small Compared with the Magnetic Pressure, with Application to Upper Atmosphere Aerodynamics (Journal of Fluid Mechanics)
24. Fluid Dynamics as a Branch of Physics (Physics Today)
25. Predictions on the Velocity Field Coming from Acoustic Noise and Generalized Turbulence in a Layer Overlaying a Convectively Unstable Atmospheric Region (IAU Symposium)
VOLUME II
Section D: Two-Dimensional Potential Theory
Introduction
26. A New Method of Two-Dimensional Aerodynamic Design (ARC)
27. A Theoretical Discussion of Wings with Leading-Edge Suction (ARC)
28. A Mathematical Method of Cascade Design (ARC)
29. Notes on the Deflection of Jets by Insertion of Curved Surfaces, and on the Design of Bends in Wind Tunnels (ARC)
30. A Note on Cusped Cavities (ARC)
31. A New Approach to Thin Aerofoil Theory (The Aeronautical Quarterly)
Section E: Aerodynamics with Vorticity in the Undisturbed Flow
Introduction
32. The Image System of a Vortex Element in a Rigid Sphere (Proceedings of the Cambridge Philosopical Society)
33. Drift (Journal of Fluid Mechanics)
34. Contributions to the Theory of Pitot-tube Displacement Effect (Journal of Fluid Mechanics)
35. The Fundamental Solution for Small Steady Three-Dimensional Disturbances to a Two-Dimensional Parallel ShearFlow (Journal of Fluid Mechanics)
Section F: Contributions to Boundary-Layer Theory
Introduction
36. Contributions to the Theory of Heat Transfer Through a Laminar Boundary Layer (Proceedings of the Royal Society)
37. Reflection at a Laminar Boundary Layer of a Weak Steady Disturbance to a Supersonic Stream, Neglecting Viscosity and Heat Conduction (Quarterly Journal of Mechanics and Applied Mathematics)
38. On Boundary Layers and Upstream Influence, I and II (Proceedings of the Royal Society, A)
39. Theoretical Considerations on Free Convection in Tubes (Quarterly Journal of Mechanics and Applied Mathematics)
40. The Response of Laminar Skin Friction and Heat Transfer to Fluctuations in the Stream Velocity (Proceedings of the Royal Society, A)
41. The Axisymmetric Boundary Layer on a Long Thin Cylinder (Proceedings of the Royal Society, A)
42. On Displacement Thickness (Journal of Fluid Mechanics)
43. Introduction: Real and Ideal Fluids; and Introduction: Boundary Layer Theory (chaps. 1 and 2 in Laminar Boundary Layers, ed. L. Rosenhead, Oxford University Press)
44. Initial Development of Diffusion in Poiseuille Flow (Journal of the Institute of Mathematics and Its Applications)
Section G: Chaotic Motions
Introduction
45. Turbulence (in Osborne Reynolds and Engineering Science Today, ed. D. M. McDowell and J. D. Jackson,Manchester University Press)
46. The Recently Recongnized Failure of Predictability in Newtonian Dynamics (Proceedings of the Royal Society, London, A)
VOLUME III
Section H: Aeroacoustics
Introduction
47. On Sound Generated Aerodynamically, I and II (Proceedings of the Royal Society, A)(
48. On the Energy Scattered from the Interaction of Turbulence with Sound or Shock Waves (Proceedings of the Cambridge Philosophical Society)
49. The Effect on Compressibility on Turbulence (Chap. 22 in Gas Dynamic of Cosmic Clouds, ed. H. G. van de Hulst and J. M. Burgers, North Holland Publishing Company)
50. Sound Generated Aerodynamically (Proceedings of the Royal Society, A)
51. Jet Noise (AIPP Journal)
52. The Fourth Annual Fairey Lecture: The Propagation of Sound Through Moving Fluids (Journal of Sound and Vibration)
53. Acoustic Streaming (Journal of Sound and Vibration)
54. A General Introduction to Aeroacoustics and Atmospheric Sound (ICASE)
55. Some Aspects of the Aeroacoustics of High-Speed Jets (ICASE)
Section J: Water Waves and Wavelike Current Patterns
Introduction
56. On Cnoidal Waves and Bores (Proceedings of the Royal Society, A)
57. On Kinematic Waves, I and II (Proceedings of the Royal Society, A) (with T. Brooke Benjamin)
58. River Waves (chap. 2 in Proceedings of the First Symposium on Naval Hydrodynamics, NAS/NRC Publication 515, 1957)
59. Physical Interpretation of the Mathematical Theory of Wave Generation by Wind (Journal of Fluid Mechanics)
60. Dynamics of Rotating Fluids: A Survey (Journal of Fluid Mechanics)
61. Dynamic Response of the Indian Ocean to Onset of the Southwest Monsoon (Philosophical Transactions of the Royal Society, London, A)
62. Two-Dimensional Analyses Related to Wave-Energy Extraction by Submerged Resonant Ducts (Journal of Fluid Mechanics)
63. Fundamentals Concerning Wave Loading on Offshore Structures (Journal of Fluid Mechanics)
Section K: Wave Theories of Wide Applicability
Introduction
64. Group Velocity (Journal of the Institute of Mathematics and Its Applications)
65. Contributions to the Theory of Waves in Non-linear Dispersive Systems (Journal of the Institute of Mathematics and Its Applications)
66. On Waves Generated in Dispersive Systems by Travelling Forcing Effects, with Applications to the Dynamics of Rotating Fluids (Journal of Fluid Mechanics)
67. Some Special Cases Treated by the Whitham Theory (Proceedings of the Royal Society, A)
68. The Theory of Trailing Taylor Columns (Proceedings of the Cambridge Philosophical Society)
69. Emendations to a Proof in the General Three-Dimensional Theory of Oscillating Sources of Waves (Proceedings of the Royal Society, A)
VOLUME IV
Section L: External Biofluiddynamics
Introduction
70. On the Squirming Motion of Nearly Spherical Deformable Bodies Through Liquids at Very Small Reynolds Numbers (Communications on Pure and Applied Mathematics)
71. Note on the Swimming of Slender Fish (Journal of Fluid Mechanics)
72. Hydromechanics of Aquatic Animal Propulsion (Annual Review of Fluid Mechanics)
73. Aquatic Animal Propulsion of High Hydromechanical Efficiency (Journal of Fluid Mechanics)
74. Large-Amplitude Elongated-Body Theory of Fish Locomotion (Proceedings of the Royal Society, London, B)
75. Aquatic Animal Locomotion (from Applied Mathematics, ed. E. Becker and G. K. Mikhailov, Springer)
76. On the Weis-Fogh Mechanism of Lift Generation (Journal of Fluid Mechanics)
77. Aerodynamic Aspects of Animal Flight (British Hydromechanics Research Association)
78. Flagellar Hydrodynamics (SIAM Review)
79. Introduction to the Scaling of Aerial Locomotion (in Scale Effects in Animal Locomotion, ed. T.J. Pedley, Academic Press)
80. Mathematical Theories of Fish Swimming (in Fisheries Mathematics, ed. J. H. Steele, Academic Press)
81. A Simple Fluid-Flow Model of Ground Effect on Hovering (Journal of Fluid Mechanics)
82. Biofluiddynamics of Balistiform and Gymnotiform Locomotion, Parts 1-4 (Journal of Fluid Mechanics)
83. Hydrodynamic Far Fields (in Mathematical Approaches in Hydrodynamics, ed. T. Miloh, SIAM
84. Biofluiddynamics: A Survey (Contemporary Mathematics)
85. Estimates of Pressure Differences Across the Head of a Swimming Clupeid Fish (Philosophical Transactions of the Royal Society London, B)
Section M: Internal Biofluiddynamics
Introduction
86. Physiological Fluid Dynamics: A Survey (Journal of Fluid Mechanics)
87. Energy Flow in the Cochlea (Journal of Fluid Mechanics)
88. Advantages from Describing Cochlea in Terms of Energy Flow (in Mechanics of Hearing, ed. E. de Boer and M. A. Viergever, Martins Nijhoff Publishers)
89. Biomechanics of Hearing Sensitivity (Journal of Vibration and Acoustics)
90. Acoustic Streaming in the Ear Itself (Journal of Fluid Mechanics)