G. I. Taylor Explained

Sir Geoffrey Ingram Taylor
Birth Date:1886 3, df=yes
Birth Place:St. John's Wood, Middlesex, England
Death Place:Cambridge, Cambridgeshire, England
Nationality:British
Field:Physics
Mathematics
Fluid mechanics
Fluid dynamics
Solid mechanics
Wave theory
Alma Mater:Trinity College, Cambridge
Academic Advisors:J. J. Thomson
Doctoral Students:George Batchelor
Philip Drazin
Albert E. Green
Francis Bretherton
Rosa M. Morris
Stewart Turner
Known For:Taylor–Couette flow
Rayleigh–Taylor instability
Taylor dispersion
Taylor column
Saffman–Taylor instability
Taylor–von Neumann–Sedov blast wave
Taylor microscale
Taylor's dislocation
Taylor cone
Zeldovich–Taylor flow
Taylor–Maccoll flow
Taylor–Culick flow
Taylor–Green vortex
Taylor–Proudman theorem
Taylor number
Taylor scraping flow
Taylor's solution
Taylor's decaying vortices
Taylor's potential flow
Taylor–Caulfield instability
Taylor–Dean flow
Taylor–Goldstein equation
Taylor impact test
Taylor–Melcher leaky dielectric model
CQR anchor
Eddy diffusion
Entrainment
Flow plasticity theory
Homogeneous isotropic turbulence
Prizes:FRS (1919)

Sir Geoffrey Ingram Taylor OM FRS FRSE (7 March 1886 – 27 June 1975) was a British physicist and mathematician, who made contributions to fluid dynamics and wave theory.

Early life and education

Taylor was born in St. John's Wood, London. His father, Edward Ingram Taylor, was an artist, and his mother, Margaret Boole, came from a family of mathematicians (his aunt was Alicia Boole Stott and his grandfather was George Boole).[1] As a child he was fascinated by science after attending the Royal Institution Christmas Lectures, and performed experiments using paint rollers and sticky-tape.

Taylor read mathematics and physics at Trinity College, Cambridge from 1905 to 1908. He won several scholarships and prizes at Cambridge, one of which enabled him to study under J. J. Thomson.

Career and research

Taylor published his first paper while he was still an undergraduate. In it, he showed that interference of visible light produced fringes even with extremely weak light sources.[2] The interference effects were produced with light from a gas light, attenuated through a series of dark glass plates, diffracting around a sewing needle. Three months were required to produce a sufficient exposure of the photographic plate. The paper does not mention quanta of light (photons) and does not reference Einstein's 1905 paper on the photoelectric effect, but today the result can be interpreted by saying that less than one photon on average was present at a time. Once it became widely accepted in around 1927 that the electromagnetic field was quantized, Taylor's experiment began to be presented in pedagogical treatments as evidence that interference effects with light cannot be interpreted in terms of one photon interfering with another photon—that, in fact, a single photon's probability amplitudes do interfere by going through both slits of a double-slit apparatus. Modern understanding of the subject has shown that the conditions in Taylor's experiment were not sufficient to demonstrate this, because the light source was not a single-photon source, but the experiment was reproduced in 1986 using a single-photon source, and the same result was obtained.[3]

He followed this up with work on shock waves, winning a Smith's Prize. In 1910 he was elected to a Fellowship at Trinity College, and the following year he was appointed to a meteorology post, becoming Reader in Dynamical Meteorology. His work on turbulence in the atmosphere led to the publication of "Turbulent motion in fluids",[4] which won him the Adams Prize in 1915.[5] In 1913 Taylor served as a meteorologist aboard the Ice Patrol vessel Scotia, where his observations formed the basis of his later work on a theoretical model of mixing of the air.

At the outbreak of World War I, Taylor was sent to the Royal Aircraft Factory at Farnborough to apply his knowledge to aircraft design, working, amongst other things, on the stress on propeller shafts. He also learned to fly aeroplanes and studied the stability of parachutes.

After the war Taylor returned to Trinity and worked on an application of turbulent flow to oceanography. He also worked on the problem of bodies passing through a rotating fluid. In 1923 he was appointed to a Royal Society research professorship as a Yarrow Research Professor. This enabled him to stop teaching, which he had been doing for the previous four years, and which he both disliked and had no great aptitude for. It was in this period that he did his most wide-ranging work on fluid mechanics and solid mechanics, including research on the deformation of crystalline materials which followed from his war work at Farnborough. He also produced another major contribution to turbulent flow, where he introduced a new approach through a statistical study of velocity fluctuations.

In 1934, Taylor, roughly contemporaneously with Michael Polanyi and Egon Orowan, realised that the plastic deformation of ductile materials could be explained in terms of the theory of dislocations developed by Vito Volterra in 1905. The insight was critical in developing the modern science of solid mechanics.[6]

In 1936 he presented the Royal Institution Christmas Lectures, on "Ships".[7] One of these, on "why ships roll in a rough sea", was the first RI Christmas Lecture to be televised, by the BBC.[8]

Manhattan Project

During World War II, Taylor again applied his expertise to military problems such as the propagation of blast waves, studying both waves in air and underwater explosions.[9]

Taylor was sent to the United States in 1944–1945 as part of the British delegation to the Manhattan Project. At Los Alamos, Taylor helped solve implosion instability problems in the development of atomic weapons, particularly the plutonium bomb used at Nagasaki on 9 August 1945.[10] [11]

In 1944 he also received his knighthood and the Copley Medal from the Royal Society. He was elected to the United States National Academy of Sciences the following year.[12]

Taylor was present at the Trinity nuclear test, July 16, 1945, as part of General Leslie Groves' "VIP List" of 10 people who observed the test from Compania Hill, about 20 miles (32 km) northwest of the shot tower. By coincidence, Joan Hinton, another direct descendant of the mathematician George Boole, had been working on the same project and witnessed the event in an unofficial capacity. The cousins met at the time but later followed different paths. Joan, strongly opposed to nuclear weapons, defected to Mao's China, while Taylor maintained that political policy was not within the remit of the scientist.[13]

In 1950, he published two papers estimating the yield of the explosion using the Buckingham Pi theorem, and high speed photography stills from that test, bearing timestamps and physical scale of the blast radius, which had been published in Life magazine. He gave two estimates of 16.8 and 23.7 kt, close to the accepted value of 20 kt, which was still highly classified at that time.[14]

Later life

Taylor continued his research after the war, serving on the Aeronautical Research Committee and working on the development of supersonic aircraft. Though he officially retired in 1952, he continued research for the next twenty years, concentrating on problems that could be attacked using simple equipment. This led to such advances as a method for measuring the second coefficient of viscosity. Taylor devised an incompressible liquid with separated gas bubbles suspended in it. The dissipation of the gas in the liquid during expansion was a consequence of the shear viscosity of the liquid. Thus the bulk viscosity could easily be calculated.[15] His other late work included the longitudinal dispersion in flow in tubes,[16] movement through porous surfaces, and the dynamics of thin sheets of liquids.

Between the ages of 78 and 83, Taylor wrote six papers on electrohydrodynamics. In this work he returned to his interest in electrical activity in thunderstorms, as jets of conducting liquid motivated by electrical fields. The cone from which such jets are observed is called the Taylor cone, after him. He went on to publish two more papers, on additional topics, in 1971 and 1973. In 1972 D. H. MIchael read Taylor's paper, on making holes in a thin sheet of liquid, at the 13th International Conferences for Theoretical and Applied Mechanics in Moscow. Taylor had suffered a stroke and could not attend. He had presented at every one of the previous conferences.

Aspects of Taylor's life often found expression in his work. His over-riding interest in the movement of air and water, and by extension his studies of the movement of unicellular marine creatures and of weather, were related to his lifelong love of sailing. In the 1930s he invented the 'CQR' anchor, which was both stronger and more manageable than any in use, and which was used for all sorts of small craft including seaplanes.[17]

Personal life

Taylor married Grace Stephanie Frances Ravenhill, a school teacher in 1925. They stayed together until Stephanie's death in 1965. Taylor suffered a severe stroke in 1972 which effectively put an end to his work. He died in Cambridge in 1975. He is buried in the churchyard of St Edward King and Martyr, Cambridge.

Awards

Taylor received many awards and honours.

Notes and References

  1. Polo-Blanco . Irene . Alicia Boole Stott, a geometer in higher dimension . Historia Mathematica . 1 May 2008 . 35 . 2 . 123–139 . 10.1016/j.hm.2007.10.008 . 22 February 2023 . en . 0315-0860.
  2. G.I. Taylor, Interference fringes with feeble light, Proc. Camb. Phil. Soc. 15, 114-115 (1909)
  3. Grangier, Roger, and Aspect, "Experimental evidence for a photon anticorrelation effect on a beamsplitter," Europhys. Lett. 1 (1986) 173
  4. Taylor . G. I. . I. Eddy motion in the atmosphere . Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character . January 1915 . 215 . 523–537 . 1–26 . 10.1098/rsta.1915.0001 . 1915RSPTA.215....1T . 121321848 .
  5. Web site: About Adams Prize . University of Cambridge . 22 February 2023.
  6. Hirth . J. P. . A brief history of dislocation theory . Metallurgical Transactions A . 1 December 1985 . 16 . 12 . 2085–2090 . 10.1007/BF02670413 . 1985MTA....16.2085H . 55747352 . en . 1543-1940.
  7. Royal Institution Lecture . . 20 December 1936 . 690 . 94.
  8. Web site: Missing Christmas Lectures . . 8 January 2022 .
  9. Turner . J. S. . G. I. Taylor in his later years . Annual Review of Fluid Mechanics . January 1997 . 29 . 1 . 1–25 . 10.1146/annurev.fluid.29.1.1 . 1997AnRFM..29....1T . en . 0066-4189. free .
  10. Deakin . Michael A.B. . G.I. Taylor and the Trinity test . International Journal of Mathematical Education in Science and Technology . 15 December 2011 . 42 . 8 . 1069–1079 . 10.1080/0020739X.2011.562324 . 2011IJMES..42.1069D . 29562158 . 22 February 2023 . 0020-739X.
  11. Web site: Geoffrey Taylor . Atomic Heritage Foundation . 22 February 2023.
  12. Web site: Geoffrey Taylor . 2023-01-19 . National Academy of Sciences.
  13. Book: Kennedy . Gerry . Booles and the hintons : two dynasties that helped shape the modern world. . 2016 . Cork University Press . [Place of publication not identified] . 9781782051855.
  14. Taylor . G. I. . The Formation of a Blast Wave by a Very Intense Explosion. II. The Atomic Explosion of 1945 . Proceedings of the Royal Society of London . 1950 . 201 . 1065 . 175–186 . 10.1098/rspa.1950.0050 . 1950RSPSA.201..175T . 120265776 . free .
  15. Aris . R. . A - * *Reprinted with permission of the editor of the Proceedings of the Royal Society, A, volume 235, pp. 66–77, 1956.On the Dispersion of A Solute in A Fluid Flowing Through A Tube . Process Systems Engineering . 1 January 1999 . 1 . 109–120 . Academic Press . 10.1016/S1874-5970(99)80009-5 . 9780126045857 . en.
  16. Taylor . George I. . 1953 . Dispersion of soluble matter in solvent flowing slowly through a tube. . Proceedings of the Royal Society of London A . 219 . 1137 . 186–203 . 10.1098/rspa.1953.0139 . 1953RSPSA.219..186T. 97372019.
  17. Taylor, G. I., The Holding Power of Anchors April 1934
  18. Book: Handbook and 1986 list of members . 1986 . Institute of Metals . London . 9780904357783.
  19. Book: Szasz . Ferenc Morton . British Scientists and the Manhattan Project: The Los Alamos Years . 18 June 1992 . Springer . 978-1-349-12731-3 . en.
  20. Web site: Geoffrey Ingram Taylor . The Franklin Institute . 23 February 2023 . en . 15 January 2014.
  21. Award of the Kelvin Medal . Journal of the IEE . 1 March 1960 . 6 . 63 . 140 . 10.1049/jiee-3.1960.0075 . en . 2054-0574.
  22. Web site: Timoshenko Medal . American Society of Mechanical Engineers. . 23 February 2023.
  23. Web site: List of LMS prize winners . London Mathematical Society.
  24. Web site: Geoffrey Ingram Taylor . 2023-01-19 . American Academy of Arts & Sciences . en.
  25. Web site: APS Member History . 2023-01-19 . search.amphilsoc.org.
  26. Web site: Geoffrey Taylor . Wilhelm Exner Medaillen Stiftung . 23 February 2023.
  27. Book: Altenbach . Holm . Bruhns . Otto T. . Taylor, Geoffrey Ingram . Encyclopedia of Continuum Mechanics . 2020 . 2431–2432 . 10.1007/978-3-662-55771-6_318 . https://link.springer.com/referenceworkentry/10.1007/978-3-662-55771-6_318 . Springer . 978-3-662-55770-9 . en.
  28. Marwick . J . News and Views: Symons Memorial Medal : Sir Geoffrey Taylor, F.R.S. . Nature . May 19, 1951 . 167 . 4255 . 797 . 10.1038/167797a0 . 42179870 .
  29. Royal Society: Medal Awards . Nature . 1 November 1944 . 154 . 3915 . 602 . 10.1038/154602b0 . 1944Natur.154R.602. . 4095669 . en . 1476-4687. free .
  30. Web site: Papers and correspondence of Sir Geoffrey Ingram Taylor, 1886-1975 - Archives Hub . Trinity College Archives, University of Cambridge . 23 February 2023.
  31. Web site: Award winners : Bakerian Lecture . Royal Society.
  32. Batchelor . G. K. . 10.1098/rsbm.1976.0021 . Geoffrey Ingram Taylor 7 March 1886 -- 27 June 1975 . . 22 . 565–633 . 1976 . 769751 .
  33. Web site: About Adams Prize . University of Cambridge . 23 February 2023.
  34. Book: Tanner . J.R. . The historical register of the University of Cambridge, being a supplement to the Calendar with a record of University offices, honours and distinctions to the year 1910 . 1917 . Cambridge University Press . Cambridge . 301 . en.