Works by Sir M. James Lighthill

  1. T.B Benjamin and M. James Lighthill. On cnoidal waves and bores. Proceedings of the Royal Society A, 224:448, 1954.
  2. M.B Glauert and M. James Lighthill. The axisymmetric boundary layer on a long thin cylinder. Proceedings of the Royal Society A, 230:188-203, 1955.
  3. Sydney Goldstein and M.J. Lighthill. Two-dimensional compressible flow past a solid body in unlimited fluid or symmetrically placed in a channel. Philosophical Magazine, 35:549-568, 1944.
  4. R. Hide, A. Ibbettson, and M.J. Lighthill. On Slow Transverse flow past obstacles in a rapidly rotating fluid. Journal of Fluid Mechanics, 32:251, 1968.
  5. M. James Lighthill. The diffraction of blast. I. Proceedings of the Royal Society A, 198:452-470, 1949.
  6. M. James Lighthill. The diffraction of blast. II. Proceedings of the Royal Society A, 200:554-656, 1950.
  7. M. James Lighthill. On sound generated aerodynamically I. General theory. Proceedings of the Royal Society A, 211:564-87, 1952.
  8. M. James Lighthill. On the squirming motion of nearly spherical deformable bodies through liquids at very small Reynolds numbers. Communications on Pure & Applied Mathematics, 5:109-118, 1952.
  9. M. James Lighthill. The energy scattered from the interaction of turbulence with sound as shock waves. Proceedings of the Cambridge Philosophical Society, 49:531, 1953.
  10. M. James Lighthill. On sound generated aerodynamically II. Turbulence as a Source of Sound. Proceedings of the Royal Society A, 222:1-32, 1954.
  11. M. James Lighthill. The response of laminar skin friction and heat transfer to fluctuations in the stream velocity. Proceedings of the Royal Society A, 224:1-23, 1954.
  12. M. James Lighthill. The image system of a vortex element in a rigid sphere. Proceedings of the Cambridge Philosophical Society, 52:317-321, 1956.
  13. M. James Lighthill. Introduction to Fourier Analysis and Generalized Functions. Cambridge, Cambridge, 1958.
  14. M. James Lighthill. On displacement thickness. Journal of Fluid Mechanics, 4:383-392, 1958.
  15. M. James Lighthill. Higher Approximations in Aerodynamic Theory. Princeton, Princeton, 1960.
  16. M. James Lighthill. Mathematics and aeronautics (the 48th wilbur wright memorial lectur. Journal of the Royal Aeronautical Society, 64:375-394, 1960.
  17. M. James Lighthill. Note on waves through gases at pressures small compared with the magnetic pressure with applications to upper-atmosphere aerodynamics. Journal of Fluid Mechanics, 9:465-72, 1960.
  18. M. James Lighthill. Studies on magneto-hydrodynamical waves and their anisotropic wave motions. Proceedings of the Royal Society A, 252:397-430, 1960.
  19. M. James Lighthill. Physical interpretation of the mathematical theory of wave generation by wind. Journal of Fluid Mechanics, 14:385, 1962.
  20. M. James Lighthill. Sound generated aerodynamically - Bakerian Lecture 1961. Proceedings of the Royal Society A, 267:147-82, 1962.
  21. M. James Lighthill. Jet Noise. The Wright Brothers Lecture. American Instsitute of Aeronautics and Astronautics Journal, 1:1507-17, 1963.
  22. M. James Lighthill and G.B. Whitman. On Kinematics waves, I. Flood movement in long rivers. Proceedings of the Royal Society A, 229:281-316, 1955.
  23. M. James Lighthill and G.B. Whitman. On Kinematics waves, II. A Theory of traffic flow on long crowded roads. Proceedings of the Royal Society A, 229:317-345, 1955.
  24. M.J. Lighthill. A note on supersonic biplanes. Aeronautical Research Council's Reports and Memoranda, Number 2002, 1944.
  25. M.J. Lighthill. The conditions behind the trailing edge of the supersonic aerofoil. Aeronautical Research Council's Reports and Memoranda, Number 1930, 1944.
  26. M.J. Lighthill. The supersonic theory of wings of finite span. Aeronautical Research Council's Reports and Memoranda, Number 2001, 1944.
  27. M.J. Lighthill. Two-dimensional supersonic aerofoil theory. Aeronautical Research Council's Reports and Memoranda, Number 1929, 1944.
  28. M.J. Lighthill. A mathemtical method of cascade design. Aeronautical Research Council's Reports and Memoranda, Number 2104, 1945.
  29. M.J. Lighthill. A new method of two-dimensional aerodynamic design. Aeronautical Research Council's Reports and Memoranda, Number 2112, 1945.
  30. M.J. Lighthill. A note on cusped cavities. Aeronautical Research Council's Reports and Memoranda, Number 2328, 1945.
  31. M.J. Lighthill. A theoretical discussion of wings with leading-edge suction. Aeronautical Research Council's Reports and Memoranda, Number 2162, 1945.
  32. M.J. Lighthill. Notes on the deflection of jets by insertion of curved surfaces, and on the design of bends in wind tunnels. Aeronautical Research Council's Reports and Memoranda, Number 2105, 1945.
  33. M.J. Lighthill. Supersonic flow past bodies of revolution. Aeronautical Research Council's Reports and Memoranda, Number 2003, 1945.
  34. M.J. Lighthill. The hodograph transformation in trans-sonic flow. I. Symmetrical channels. Proceedings of the Royal Society, 191:323-341, 1947.
  35. M.J. Lighthill. The hodograph transformation in trans-sonic flow. II. Auxiliary theorems on the hypergeometric functions Psi-tau. Proceedings of the Royal Society, 191:341-351, 1947.
  36. M.J. Lighthill. The hodograph transformation in trans-sonic flow. III. Flow round a body. Proceedings of the Royal Society, 191:352-369, 1947.
  37. M.J. Lighthill. The hodograph transformation in trans-sonic flow. IV. Tables. Proceedings of the Royal Society, 192:135-142, 1947.
  38. M.J. Lighthill. Notes on the ultimate form of rotary fluid motion inside a cylinder. Quarterly Journal of Mechanics and Applied Matematics, 1:65-66, 1948.
  39. M.J. Lighthill. On the hodograph transformation for high-speed flow. II. A flow with circluation . Quarterly Journal of Mechanics and Applied Matematics, 1:442-450, 1948.
  40. M.J. Lighthill. Supersonic flow past slender pointed bodies of revolution at yaw. Quarterly Journal of Mechanics and Applied Matematics, 1:76-89, 1948.
  41. M.J. Lighthill. Supersonic flow past slender pointed bodies of revolution the slope of whose meridian section is discontinuous. Quarterly Journal of Mechanics and Applied Matematics, 1:90-102, 1948.
  42. M.J. Lighthill. The position of the shock wave in certain aerodynamic problems. Quarterly Journal of Mechanics and Applied Matematics, 1:309-318, 1948.
  43. M.J. Lighthill. A technique for rendering approximate solutions to physical problems uniformly valid. Philosophical Magazine, 40:1179-1201, 1949.
  44. M.J. Lighthill. Methods of predicting phenomema in the high-speed flow of gases. Journal of Aeronautical Sciences, 16:69-83, 1949.
  45. M.J. Lighthill. The drag integral in the linearized theory of compressible flow. Q.J.M, 20:121-123, 1949.
  46. M.J. Lighthill. The Flow behind a Stationary Shock. Philosophical Magazine, 40:214-220, Series 7 1949.
  47. M.J. Lighthill. The shock strength in supersonic `conical fields'. Philosophical Magazine, 40:1201-1223, 1949.
  48. M.J. Lighthill. Contributions to the theory of heat transfer through a laminar boundary layer. Proceedings of the Royal Society, 202:359-377, 1950.
  49. M.J. Lighthill. On the instability of small planetary cores (II). M.N.R.A.S, 110:339-342, 1950.
  50. M.J. Lighthill. 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 Matematics, 3:303-325, 1950.
  51. M.J. Lighthill. The Energy Distribution behind Decaying Shocks I. Plane Waves. Philosophical Magazine Series 7, 41:1101-1128, 1950.
  52. M.J. Lighthill. A new approach to thin aerofoil theory. Aero Quarterly, 3:193-210, 1951.
  53. M.J. Lighthill. On boundary layers and upstream influence. I. A comparison between subsonic and supersonic flows. Proceedings of the Royal Society, 217:344-357, 1953.
  54. M.J. Lighthill. On boundary layers and upstream influence. II. Supersonic flows without separation. Proceedings of the Royal Society, 217:478-507, 1953.
  55. M.J. Lighthill. Theoretical considerations on free convection in tubes. Quarterly Journal of Mechanics and Applied Matematics, 6:398-439, 1953.
  56. M.J. Lighthill. An elementary reasoned account of the general circulation of the atmosphere. Philosophical Magazine, 45:1154-1162, 1954.
  57. M.J. Lighthill. Mathematical methods in compressible flow theory. Communications in Physics and Applied Mathematics, 7:1-10, 1954.
  58. M.J. Lighthill. Drift. Journal of Fluid Mechanics, 1:31-53, 1956.
  59. M.J. Lighthill. The wave drag at zero lift of delta wings and similar configurations. Journal of Fluid Mechanics, 1:337-348, 1956.
  60. M.J. Lighthill. Viscosity effects in sound waves of finite amplitude. In George Batchelor, editor, Surveys in Mechanics. Cambridge, Cambridge, 1956.
  61. M.J. Lighthill. Contributions to the theory of the pitot-tube displacement effect. Journal of Fluid Mechanics, 2:493-512, 1957.
  62. M.J. Lighthill. Corrigenda to 'Drift'. Journal of Fluid Mechanics, 2:311-312, 1957.
  63. M.J. Lighthill. Dynamics of dissociating gas. Journal of Fluid Mechanics, 2:1-32, 1957.
  64. M.J. Lighthill. The fundamental solution for small steady three-dimensional disturbances to a two-dimensional parallel shear flow. Journal of Fluid Mechanics, 3:113-144, 1957.
  65. M.J. Lighthill. The hydrodynamic analogy. Contributed to discussion on Dynamic instability in road transport. Operations Research Quarterly, 8:101-114, 1957.
  66. M.J. Lighthill. Dynamics of a dissociating gas. II - Quasi-equilibrium transfer theory. Journal of Fluid Mechanics, 8:161-182, 1960.
  67. M.J. Lighthill. Note on the swimming of slender fish. Journal of Fluid Mechanics, 9:305-317, 1960.
  68. M.J. Lighthill. Shock Waves (The Ramsden Memorial Lecture. Memorial Manchester Literary Philosophial Society, 101:1-16, 1960.
  69. M.J. Lighthill. A technique for rendering approximate solutions to physical problems uniformly valid. Ludwig Prandtl Memorial Lecture 1961. Z Flugwissen, 9:267-275, 1961.
  70. M.J. Lighthill. Automatic landing of aircraft independently of the weather. Bulletin Inst. Physics and Physics Society, pages 49-59, 1963.
  71. M.J. Lighthill. Introduction. boundary layer theory. In Larry Rosenhead, editor, Laminar Boundary Layers. Oxford, Oxford, 1963.
  72. M.J. Lighthill. Introduction. real and ideal fluids. In Larry Rosenhead, editor, Laminar Boundary Layers. Oxford, Oxford, 1963.
  73. M.J. Lighthill. Contributions to the theory of waves in non-linear dispersive systems. Journal of Institute of Mathematical Applications, 1:269-306, 1965.
  74. M.J. Lighthill. Reliability and a research and development establishment's measurement to promote it. Journal of Inst. Eng. Insp., 29:111-129, 1965.
  75. M.J. Lighthill. Initial development of diffusion in Poisseulle flow. Journal of Institute of Mathematical Applications, 2:97-108, 1966.
  76. M.J. Lighthill. Mathematics in control. Journal of Institute of Mathematical Applications, 4:1-19, 1968.
  77. M.J. Lighthill. Pressure-forcing of tightly fitting pellets along fluid-filled elastic tubes. Journal of Fluid Mechanics, 34:251-272, 1968.
  78. M.J. Lighthill. Theoretical considerations for the steady inviscid case with Rossby number small but not zero. Appendix to Transverse flow past obstacles in a rotating fluid by R. Hide and A. Ibbetson. Journal of Fluid Mechanics, 32:251-272, 1968.
  79. M.J. Lighthill. Hydromechanics of aquatic animal propulsion. Annual Review of Fluid Mechanics, 1:413-446, 1969.
  80. M.J. Lighthill. Unsteady wind-driven ocean currents: The Symons Memorial Lecture for 1969. Quarterly Journal of the Royal Meteorological Society, 95:675-688, 1969.
  81. M.J. Lighthill. Aquatic animal propulsion of high hydromechanical effiency. Journal of Fluid Mechanics, 44:2565-301, 1970.
  82. M.J. Lighthill. Large-amplitude elongated-body theory of fish locomotion. Proceedings of the Royal Society B, 179:125-138, 1971.
  83. M.J. Lighthill. The art of teaching the art of applying mathematics. Math. Gazette, 55:249-270, 1971.
  84. M.J. Lighthill. Time-varying currents. Proceedings of the Royal Society A, 270:371-390, 1971.
  85. M.J. Lighthill. Physiological fluid dynamics: a survey. Journal of Fluid Mechanics, 52:475-497, 1972.
  86. M.J. Lighthill. Aquatic animal locomotion. In E. Becker, editor, Proceedings of the 13th International Congress Theoretical Applied Mechanics. Springer Verlag, Berlin, 1973.
  87. M.J. Lighthill. On the Weis-Fogh mechanism of lift generation. Journal of Fluid Mechanics, 60:1-17, 1973.
  88. M.J. Lighthill. Aerodynamic Aspects of Animal Flight. Bulletin Inst. Math. Applic., 10:369-393, 1974.
  89. M.J. Lighthill. Aerodynamic aspects of animal flight. In T.Y. Wu, editor, Swimming and Flying in Nature. Plenum, 1975.
  90. M.J. Lighthill. Flagellar Hydrodynamics. SIAM Review, 18:161-30, 1976.
  91. M.J. Lighthill. Acoustic Streaming. Journal of Sound Vibration, 61:391-418, 1978.
  92. M.J. Lighthill. A simple fluid-flow model of ground effect on hovering. Journal of Fluid Mechanics, 93:781-797, 1979.
  93. M.J. Lighthill. Two-dimensional analyses related to wave energy extraction by submerged resonant ducts. Journal of Fluid Mechanics, 91:253-317, 1979.
  94. M.J. Lighthill. Energy Flow in the Cochlea. Journal of Fluid Mechanics, 106:149-213, 1981.
  95. M.J. Lighthill. Eary Development of am 'Acoustic Analogy' Approach to Aeroacoustical Theory. American Instsitute of Aeronautics and Astronautics Journal, April 1982.
  96. M.J. Lighthill. Advantages from describing cochlear mechanics in terms of energy flow. In E. de Boer, editor, Mechanics of Hearing. Delft University Press, Delft, 1983.
  97. M.J. Lighthill. La Mecanique, trois siecle apres Newton. La Vie des Sciences, 6:77-92, 1989.
  98. M.J. Lighthill. Biofluiddynamics of balistiform and gymnotiform locomotion. Journal of Fluid Mechanics, 212:183-207, 1990.
  99. M.J. Lighthill. Biofluiddynamics of balistiform and gymnotiform locomotion. Journal of Fluid Mechanics, 213:1-28, 1990.
  100. M.J. Lighthill. Emendations to a proof in the general three-dimensional theory of oscillating sources of waves. Proceedings of the Royal Society of London A, 427:31-42, 1990.
  101. M.J. Lighthill. The Inaugural Goldsteinn Lecture - Some Challenging new applications for basic mathematical methods in the mehanics of fluids that were originally pursued with aeronautical aims. Journal of the Royal Aeronautical Society, pages 41-52, February 1990.
  102. M.J. Lighthill. Biomechnics of Hearing Sensitivity. The 1989 Raleigh Lecture. ASME Journal of Vibration and Acoustics, 113:1-13, January 1991.
  103. M.J. Lighthill. Far field hydrodynamics. In Touvia Miloh, editor, Mathematical Approaches to Hydrodynamics. SIAM, Philadelphia, 1991.
  104. M.J. Lighthill. Acoustic Streaming in the Ear Itself. Journal of Fluid Mechanics, 239:551-606, 1992.
  105. M.J. Lighthill. Asymptotic behaviour of anisotrophic wave systems stimulated by oscillating sources. In P.A. Martin and G.R. Wickham, editors, Wave Asymptotics. Cambridge University Press, Cambridge, 1992.
  106. M.J. Lighthill. La mecanique dans la biologie moderne. Comptes rendus, 9(2):117-136, 1992.
  107. M.J. Lighthill and F.F. Bradshaw. Thermal stresses in turbine blades. Philosophical Magazine, 40:770-780, 1949.
  108. M.J. Lighthill, S. Goldstein, and J. Craggs. On the hodograph transformation for high-speed flow. I. A flow without circulation. Quarterly Journal of Mechanics and Applied Matematics, 1:344-357, 1948.
  109. M.J. Lighthill and Goldstein S. A note on the hodograph transformation for the two-dimensional vortex flow of an incompressible fluid. Quarterly Journal of Mechanics and Applied Matematics, 3:297-302, 1950.
  110. Sir M. James Lighthill. Group velocity (inaugural lecture as president of i.m.a). Journal of Institute of Mathematical Applications, 1:1-28, 1965.
  111. Sir M. James Lighthill. Dynamics of Rotating Fluids: A Survey. Journal of Fluid Mechanics, 26:411-31, 1966.
  112. Sir M. James Lighthill. A discussion of nonlinear theory of wave propagation in dispersive systems organized by M.J.Lighthill, Sec.R.S. Proceedings of the Royal Society A, 299:2-146, 1967.
  113. Sir M. James Lighthill. On waves generated in dispersive systems by travelling force effects with applications to the dynamics of rotating fluids. Journal of Fluid Mechanics, 27:725-52, 1967.
  114. Sir M. James Lighthill. Waves in fluids. Communications on Pure & Applied Mathematics, 20:267-93, 1967.
  115. Sir M. James Lighthill. A discussion of making a success of research in industry under the leadership of Professor M.J. Lighthill, Sec.R.S. Proceedings of the Royal Society A, 265:293-369, 1969.
  116. Sir M. James Lighthill. Dynamic response of the Indian Ocean to onset of the Southwest Monsoon. Philosophical Transactions of the Royal Society A, 265:45-92, 1969.
  117. Sir M. James Lighthill. The theory of trailing Taylor columns. Proceedings of the Cambridge Philosophical Society, 68:485-91, 1970.
  118. Sir M. James Lighthill. The propagation of sound through moving fluids. Journal of Sound Vibrations, 24:471-92, 1972.
  119. Sir M. James Lighthill. Mathematical Biofluiddynamics. Society for Industrial and Applied Mathematics, Philadelphia, 1975.
  120. Sir M. James Lighthill. Waves in Fluids. Cambridge, Cambridge, 1978.
  121. Sir M. James Lighthill, editor. Monsoon Dynamics. Cambridge, Cambridge, 1981.
  122. Sir M. James Lighthill. An Informal Introduction to Theoretical Fluid Dynamics. Oxford, Oxford, 1986.
  123. Lighthill, J., Holland, G., Gray, W., Landsea, C., Craig, C., Evans, J., Kurihara, Y. and C. Guard (1994) Global climate change and tropical cyclones. Bull. Am. Met.Soc. ,75, 2147-2157.
  124. Sir James Lighthill "Ocean Spray and the Thermodynamics of Tropical Cyclones" Levich Institute Special Seminar. February 10, 1997
  125. Sir James Lighthill. Typhoons, Hurricaines, and Fluid Mechanics 1997 Richard C. DiPrima Lecture Rensselaer Polytechnic Institute. February 27, 1997