Sir james lighthill and modern fluid mechanics

This is perhaps the first book containing biographical information of Sir James Lighthill and his major scientific contributions to the different areas of fluid mechanics, applied mathematics, aerodynamics, linear and nonlinear waves in fluids, geophysical fluid dynamics, biofluiddynamics, aeroelasticity, boundary layer theory, generalized functions, and Fourier series and integrals. Special efforts is made to present Lighthill's scientific work in a simple and concise manner, and generally intelligible to readers who have some introduction to fluid mechanics. The book also includes a list of Lighthill's significant papers.Written for the mathematically literate reader, this book also provides a glimpse of Sir James' serious attempt to stimulate interest in mathematics and its diverse applications among the general public of the world, his profound influence on teaching of mathematics and science with newer applications, and his deep and enduring concern on enormous loss of human lives, economic and marine resources by natural hazards. By providing detailed background information and knowledge, sufficient to start interdisciplinary research, it is intended to serve as a ready reference guide for readers interested in advanced study and research in modern fluid mechanics.

Preface	p. vii
Sir James Lighthill: Chronology	p. xi
1 An Early Life History and Career of Sir James Lighthill	p. 1
2 Music and Swimming	p. 41
3 Personal Reminiscence	p. 45
4 Sir James Lighthill's Books	p. 57
4.1 Introduction to Fourier Analysis and Generalised Functions, Cambridge University Press, Cambridge, 1958	p. 57
4.2 Higher Approximations in Aerodynamic Theory, Princeton University Press, Princeton, 1960	p. 61
4.3 Mathematical Biofluiddynamics, SIAM, Philadelphia, 1975	p. 65
4.4 Waves in Fluids, Cambridge University Press, Cambridge, 1978	p. 71
4.5 Newer Uses of Mathematics, Penguin Books Ltd., Harmondsworth, U.K., 1978	p. 104
4.6 Monsoon Dynamics, (Eds. Lighthill, J. and Pearce, R. B.), Cambridge University Press, Cambridge, 1981	p. 108
4.7 An Informal Introduction to Theoretical Fluid Mechanics, Oxford University Press, Oxford, 1986	p. 110
4.8 Tropical Cyclone Disasters, (Eds. Lighthill, J., Zhang, Z., Holland, G., and Emanuel, K.), Peking University Press, Beijing, China, 1993	p. 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	p. 117
5 Supersonic and Subsonic Aerodynamic Flows	p. 123
5.1 Introduction	p. 123
5.2 Supersonic Airfoil Theory	p. 124
6 Aeroacoustics and Nonlinear Acoustics	p. 133
6.1 Introduction	p. 133
6.2 Lighthill's Theory of Sound Generated Aerodynamically	p. 134
7 Boundary Layer Theory and Vorticity Dynamics	p. 147
7.1 Introduction	p. 147
7.2 Lighthill's Contributions to Boundary Layer Theory	p. 150
8 Linear and Nonlinear Waves in Fluids	p. 165
8.1 Sound Waves and Shock Waves	p. 165
8.2 Kinematic Waves	p. 188
8.3 Linear Dispersive Waves	p. 193
9 Geophysical Fluid Dynamics	p. 201
9.1 Introduction	p. 201
9.2 Dynamics of Rotating Fluids	p. 202
9.3 The Navier-Stokes Equations of Motion in a Rotating Frame of Reference	p. 208
9.4 Linear Rossby Waves in a Non-Uniformly Rotating Ocean	p. 209
9.5 General Class of Traveling Wave Solutions of the Rossby Wave Equation	p. 213
9.6 Small Amplitude Waves in a Rotating Ocean	p. 214
9.7 Poincare, Kelvin and Rossby Waves in a Rotating Ocean	p. 216
9.8 Dynamic Response of the Indian Ocean to the Southwest Monsoon	p. 225
9.9 Concluding Remarks	p. 237
10 Nonlinear Dispersive Waves	p. 239
10.1 Introduction	p. 239
10.2 Lighthill's Theory of Nonlinear Dispersive Waves	p. 240
11 Nonlinear Diffraction of Water Waves by Offshore Structures	p. 255
11.1 Introduction	p. 255
11.2 Morison's Equation	p. 256
11.3 Basic Equations of Water Waves in Cylindrical Polar Coordinates and Boundary Conditions	p. 260
11.4 Linear Diffraction Theory and Morison's Coefficient	p. 265
11.5 Nonlinear Wave Forces on Offshore Structures and Nonlinear Modification of the Morison Equation	p. 268
12 Biofluid Mechanics	p. 281
12.1 Introduction	p. 281
12.2 External Biofluiddynamics	p. 282
12.3 Internal Biofluiddynamics	p. 288
13 Books and Major Research Papers of Sir James Lighthill	p. 301
Bibliography	p. 313
Index	p. 321

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