Sir James Lighthill and modern fluid mechanics /
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| Format: | Book |
| Language: | English |
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London :
Imperial College Press ;
[2008]
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Table of Contents:
- Sir James Lighthill: Chronology xi
- 1 An Early Life History and Career of Sir James Lighthill 1
- 2 Music and Swimming 41
- 3 Personal Reminiscence 45
- 4 Sir James Lighthill's Books 57
- 4.1 Introduction to Fourier Analysis and Generalised Functions, Cambridge University Press, Cambridge, 1958 57
- 4.2 Higher Approximations in Aerodynamic Theory, Princeton University Press, Princeton, 1960 61
- 4.3 Mathematical Biofluiddynamics, SIAM, Philadelphia, 1975 65
- 4.4 Waves in Fluids, Cambridge University Press, Cambridge, 1978 71
- 4.5 Newer Uses of Mathematics, Penguin Books Limited, Harmondsworth, U.K., 1978 104
- 4.6 Monsoon Dynamics, (Eds. Lighthill, J. and Pearce, R.B.), Cambridge University Press, Cambridge, 1981 108
- 4.7 An Informal Introduction to Theoretical Fluid Mechanics, Oxford University Press, Oxford, 1986 110
- 4.8 Tropical Cyclone Disasters, (Eds. Lighthill, J., Zhang, Z., Holland, G., and Emanuel, K.), Peking University Press, Beijing, China, 1993 114
- 4.9 Fluid Mechanics, A Chapter in Twentieth Century Physics (Eds. Laurie M. Brown, Abraham Pais, and Sir Brian Pippard), Institute of Physics and American Institute of Physics, New York, Volume II, 1995 117
- 5 Supersonic and Subsonic Aerodynamic Flows 123
- 5.2 Supersonic Airfoil Theory 124
- 6 Aeroacoustics and Nonlinear Acoustics 133
- 6.2 Lighthill's Theory of Sound Generated Aerodynamically 134
- 7 Boundary Layer Theory and Vorticity Dynamics 147
- 7.2 Lighthill's Contributions to Boundary Layer Theory 150
- 8 Linear and Nonlinear Waves in Fluids 165
- 8.1 Sound Waves and Shock Waves 165
- 8.2 Kinematic Waves 188
- 8.3 Linear Dispersive Waves 193
- 9 Geophysical Fluid Dynamics 201
- 9.2 Dynamics of Rotating Fluids 202
- 9.3 The Navier-Stokes Equations of Motion in a Rotating Frame of Reference 208
- 9.4 Linear Rossby Waves in a Non-Uniformly Rotating Ocean 209
- 9.5 General Class of Traveling Wave Solutions of the Rossby Wave Equation 213
- 9.6 Small Amplitude Waves in a Rotating Ocean 214
- 9.7 Poincare, Kelvin and Rossby Waves in a Rotating Ocean 216
- 9.8 Dynamic Response of the Indian Ocean to the Southwest Monsoon 225
- 10 Nonlinear Dispersive Waves 239
- 10.2 Lighthill's Theory of Nonlinear Dispersive Waves 240
- 11 Nonlinear Diffraction of Water Waves by Offshore Structures 255
- 11.2 Morison's Equation 256
- 11.3 Basic Equations of Water Waves in Cylindrical Polar Coordinates and Boundary Conditions 260
- 11.4 Linear Diffraction Theory and Morison's Coefficient 265
- 11.5 Nonlinear Wave Forces on Offshore Structures and Nonlinear Modification of the Morison Equation 268
- 12 Biofluid Mechanics 281
- 12.2 External Biofluiddynamics 282
- 12.3 Internal Biofluiddynamics 288
- 13 Books and Major Research Papers of Sir James Lighthill 301.