John R. Womersley
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John Ronald Womersley (20 June 1907 – 7 March 1958) was a British
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
and
computer scientist A computer scientist is a scientist who specializes in the academic study of computer science. Computer scientists typically work on the theoretical side of computation. Although computer scientists can also focus their work and research on ...
who made important contributions to
computer A computer is a machine that can be Computer programming, programmed to automatically Execution (computing), carry out sequences of arithmetic or logical operations (''computation''). Modern digital electronic computers can perform generic set ...
development, and
hemodynamics Hemodynamics or haemodynamics are the dynamics of blood flow. The circulatory system is controlled by homeostatic mechanisms of autoregulation, just as hydraulic circuits are controlled by control systems. The hemodynamic response continuously ...
. Nowadays he is principally remembered for his contribution to
blood flow Hemodynamics American and British English spelling differences#ae and oe, or haemodynamics are the Fluid dynamics, dynamics of blood flow. The circulatory system is controlled by homeostasis, homeostatic mechanisms of autoregulation, just as hydrau ...
,
fluid dynamics In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids – liquids and gases. It has several subdisciplines, including (the study of air and other gases in motion ...
and the eponymous Womersley number, a dimensionless parameter characterising unsteady flow.


Biography


Early life and education

Womersley was born on 20 June 1907 in Morley, near
Leeds Leeds is a city in West Yorkshire, England. It is the largest settlement in Yorkshire and the administrative centre of the City of Leeds Metropolitan Borough, which is the second most populous district in the United Kingdom. It is built aro ...
in the
West Riding The West Riding of Yorkshire was one of three historic subdivisions of Yorkshire, England. From 1889 to 1974 the riding was an administrative county named County of York, West Riding. The lieutenancy at that time included the city of York a ...
of
Yorkshire Yorkshire ( ) is an area of Northern England which was History of Yorkshire, historically a county. Despite no longer being used for administration, Yorkshire retains a strong regional identity. The county was named after its county town, the ...
. He was the only child of George William and Ruth Womersely; his father managed a
grocery store A grocery store ( AE), grocery shop or grocer's shop ( BE) or simply grocery is a retail store that primarily retails a general range of food products, which may be fresh or packaged. In everyday US usage, however, "grocery store" is a synon ...
in Morley. He was educated at Morley Grammar School from 1917 to 1925. In 1925 he was awarded an Open
Scholarship A scholarship is a form of Student financial aid, financial aid awarded to students for further education. Generally, scholarships are awarded based on a set of criteria such as academic merit, Multiculturalism, diversity and inclusion, athleti ...
to the
University of Cambridge The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, wo ...
and the Royal Scholarship in Physics at Imperial College of Science and Technology, but he chose to read
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
at Imperial College. His courses included Pure and
Applied Mathematics Applied mathematics is the application of mathematics, mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and Industrial sector, industry. Thus, applied mathematics is a ...
,
Physics Physics is the scientific study of matter, its Elementary particle, fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge whi ...
,
Hydrodynamics In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids – liquids and gases. It has several subdisciplines, including (the study of air and other gases in ...
and the
Kinetic Theory of Gases The kinetic theory of gases is a simple classical model of the thermodynamic behavior of gases. Its introduction allowed many principal concepts of thermodynamics to be established. It treats a gas as composed of numerous particles, too small ...
. He was awarded a BSc degree with first-class honours in mathematics in 1929 and became an associate of the Royal College of Science. He remained at Imperial College for another two years and was awarded the Diploma of Imperial College (D.I.C.) in 1930.


Work

In 1930 Womersely left Imperial College to take up a position as a junior research officer at the Shirley Institute (British Cotton Industry Research Institute), Manchester. There he applied mathematical techniques to problems in textile manufacture, including research on cotton spinning, drafting fibrous materials, and, through L. H. C. Tippett, the use of
mathematical statistics Mathematical statistics is the application of probability theory and other mathematical concepts to statistics, as opposed to techniques for collecting statistical data. Specific mathematical techniques that are commonly used in statistics inc ...
in
industrial production Industrial production is a measure of output of the industrial sector of the economy. The industrial sector includes manufacturing, mining, and utilities. Although these sectors contribute only a small portion of gross domestic product (GDP), they ...
and
quality control Quality control (QC) is a process by which entities review the quality of all factors involved in production. ISO 9000 defines quality control as "a part of quality management focused on fulfilling quality requirements". This approach plac ...
. While at the Shirley Institute he also met
Leslie Comrie Leslie John Comrie FRS (15 August 1893 – 11 December 1950) was an astronomer and a pioneer in mechanical computation. Life Leslie John Comrie was born in Pukekohe (south of Auckland), New Zealand, on 15 August 1893. He attended Auckland U ...
and became interested in
computation A computation is any type of arithmetic or non-arithmetic calculation that is well-defined. Common examples of computation are mathematical equation solving and the execution of computer algorithms. Mechanical or electronic devices (or, hist ...
al techniques. As a result, he spent a month at HM Nautical Almanac Office, London learning Comrie's numerical approaches. In 1936 he collaborated with
Douglas Hartree Douglas Rayner Hartree (27 March 1897 – 12 February 1958) was an English mathematician and physicist most famous for the development of numerical analysis and its application to the Hartree–Fock equations of atomic physics and the c ...
who had built a
Differential Analyser The differential analyser is a mechanical analogue computer designed to solve differential equations by integration, using wheel-and-disc mechanisms to perform the integration. It was one of the first advanced computing devices to be used ope ...
at the
University of Manchester The University of Manchester is a public university, public research university in Manchester, England. The main campus is south of Manchester city centre, Manchester City Centre on Wilmslow Road, Oxford Road. The University of Manchester is c ...
; together they devised a much cited method for the numerical integration of partial differential equations. In 1937, with war looming, he joined the armaments research department at
Woolwich Woolwich () is a town in South London, southeast London, England, within the Royal Borough of Greenwich. The district's location on the River Thames led to its status as an important naval, military and industrial area; a role that was mainta ...
as a scientific officer, and worked on using statistical techniques applied to
ballistics Ballistics is the field of mechanics concerned with the launching, flight behaviour and impact effects of projectiles, especially weapon munitions such as bullets, unguided bombs, rockets and the like; the science or art of designing and acceler ...
and
ammunition Ammunition, also known as ammo, is the material fired, scattered, dropped, or detonated from any weapon or weapon system. The term includes both expendable weapons (e.g., bombs, missiles, grenades, land mines), and the component parts of oth ...
proofing. In 1942, after the outbreak of
World War II World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
, he was appointed assistant director of scientific research at the
Ministry of Supply The Ministry of Supply (MoS) was a department of the UK government formed on 1 August 1939 by the Ministry of Supply Act 1939 ( 2 & 3 Geo. 6. c. 38) to co-ordinate the supply of equipment to all three British armed forces, headed by the Ministe ...
and asked to set up and head the Advisory Service on Statistical Methods (later known as SR17). This organization was responsible for advice and research into ammunition supply, engineering factories and the investigations of a range of Government Inspectorates. It was particularly important in ensuring quality control and promoting sample inspection methods to British industry during wartime. In 1944 he joined the
British Association The British Science Association (BSA) is a charity and learned society founded in 1831 to aid in the promotion and development of science. Until 2009 it was known as the British Association for the Advancement of Science (BA). The current Chief ...
mathematical tables committee and in the same year he was appointed as the first superintendent of the Mathematics Division of the National Physical Laboratory (NPL). In addition to being responsible for statistical quality control, NPL was tasked with building an electronic computer, for which Womersley coined the name
Automatic Computing Engine The Automatic Computing Engine (ACE) was a British early Electronic storage, electronic Serial computer, serial stored-program computer design by Alan Turing. Turing completed the ambitious design in late 1945, having had experience in the yea ...
(ACE), echoing Babbage's Analytical Engine. Womersely was therefore responsible for the set up and operation of the first national computing centre in UK. One of his first actions was to visit the US for a fact-finding tour, where he learned about ENIAC (Electronic Numerical Integrator and Computer), Howard Aitken's Harvard machine,
George Stibitz George Robert Stibitz (April 30, 1904 – January 31, 1995) was an American researcher at Bell Labs who is internationally recognized as one of the fathers of the modern digital computer. He was known for his work in the 1930s and 1940s on the r ...
's machines and von Neumann's plans for the binary computer, EDVAC (Electronic Discrete Variable Automatic Computer). On his return, he recruited
Alan Turing Alan Mathison Turing (; 23 June 1912 – 7 June 1954) was an English mathematician, computer scientist, logician, cryptanalyst, philosopher and theoretical biologist. He was highly influential in the development of theoretical computer ...
to work on the ACE section and backed him strongly. Womersley also recruited
Donald Davies Donald Watts Davies, (7 June 1924 – 28 May 2000) was a Welsh computer scientist and Internet pioneer who was employed at the UK National Physical Laboratory (NPL). During 1965-67 he invented modern data communications, including packet s ...
in 1947. However, progress on the ACE project was delayed and Turing developed a dislike of Womersley and disdain for his abilities and left the project in 1948. Davies then took over from Turing and a small experimental model,
pilot ACE The Pilot ACE (Automatic Computing Engine) was one of the first computers built in the United Kingdom. Built at the National Physical Laboratory (NPL) in the early 1950s, it was also one of the earliest general-purpose, stored-program computer ...
was produced in 1950. Whether Womersely led NPL successfully has been questioned, although the consensus seems to be that he did a good job in difficult circumstances. He himself left the project in 1950, before the prototype pilot ACE was completed, to join the
British Tabulating Machine Company __NOTOC__ The British Tabulating Machine Company (BTM) was a firm which manufactured and sold Hollerith unit record equipment and other data-processing equipment. During World War II, BTM constructed some 200 "bombes", machines used at Bletchley ...
(BTM), a forerunner of
International Computers Limited International Computers Limited (ICL) was a British computer hardware, computer software and computer services company that operated from 1968 until 2002. It was formed through a merger of International Computers and Tabulators (ICT), English Ele ...
(ICL). There he recognised that the computers previously developed by academia or governments were too large and expensive to be commercially viable and he recruited Andrew Booth who had developed the All Purpose Electronic Computer at Birbeck University, as a consultant to develop a smaller inexpensive computer. The computer copied from Booth's original design by Ray Bird was named the Hollerith Electronic Computer (HEC1), and was Britain's first mass-produced business computer. In 1954 Womersley left BTM and joined a research team, led by Donald McDonald at
St Bartholomew's Hospital St Bartholomew's Hospital, commonly known as Barts, is a teaching hospital located in the City of London. It was founded in 1123 by Rahere, and is currently run by Barts Health NHS Trust. History Early history Barts was founded in 1123 by ...
, who were studying
blood flow Hemodynamics American and British English spelling differences#ae and oe, or haemodynamics are the Fluid dynamics, dynamics of blood flow. The circulatory system is controlled by homeostasis, homeostatic mechanisms of autoregulation, just as hydrau ...
in
arteries An artery () is a blood vessel in humans and most other animals that takes oxygenated blood away from the heart in the systemic circulation to one or more parts of the body. Exceptions that carry deoxygenated blood are the pulmonary arteries in ...
. This change seems to have been a temporary arrangement to 'fill in time whilst awaiting completion of arrangements to come to WADC' (the
Wright Air Development Center Wright is an occupational surname originating in England and Scotland. The term 'Wright' comes from the circa 700 AD Old English word 'wryhta' or 'wyrhta', meaning worker or shaper of wood. Later it became any occupational worker (for example, a ...
,
Dayton Dayton () is a city in Montgomery County, Ohio, United States, and its county seat. It is the List of cities in Ohio, sixth-most populous city in Ohio, with a population of 137,644 at the 2020 United States census, 2020 census. The Dayton metro ...
, Ohio, USA). His collaboration with McDonald may have been prompted by his eldest daughter, Barbara, who was studying medicine at St Bartholomew's. Whatever the reason, this move led to a new and highly productive period in his research, as he applied mathematical and computational techniques to the analysis of blood flow and
hemodynamics Hemodynamics or haemodynamics are the dynamics of blood flow. The circulatory system is controlled by homeostatic mechanisms of autoregulation, just as hydraulic circuits are controlled by control systems. The hemodynamic response continuously ...
. Most notably in 1955 he published an article which described a dimensionless parameter (α) which characterised the nature of unsteady flow; subsequently this has been called the Womersley number. In July 1955, as planned, he moved to WADC to take a post as acting chief of the Analysis Section, System Dynamics Branch Aeronautical Research Laboratory. In 1956, he was promoted to Supervisory Mathematician and then Supervisory Aeronautical Research Engineer (Flight Systems), although he continued to publish on mathematical aspects of blood flow until his early death in 1958. His 1957 monograph on 'An elastic tube theory of pulse transmission and oscillatory flow in mammalian arteries' is widely regarded as a major influence in the field. In 1957 he returned to Britain for treatment of cancer. He underwent a number of operations in London and returned to Ohio in 1957, but never fully recovered and died at Ohio State University Hospital, Columbus, on 7 March 1958.


Personal life

Womersley married Jean Isobel Jordan in
Hammersmith Hammersmith is a district of West London, England, southwest of Charing Cross. It is the administrative centre of the London Borough of Hammersmith and Fulham, and identified in the London Plan as one of 35 major centres in Greater London. It ...
, London in 1931. The couple had three daughters, Barbara, Ruth and Marion. Womersley's wife, Jean lived in
Dayton Dayton () is a city in Montgomery County, Ohio, United States, and its county seat. It is the List of cities in Ohio, sixth-most populous city in Ohio, with a population of 137,644 at the 2020 United States census, 2020 census. The Dayton metro ...
until 1996, and as of 2014, they were survived by two daughters and six grandchildren living in the US and
Canada Canada is a country in North America. Its Provinces and territories of Canada, ten provinces and three territories extend from the Atlantic Ocean to the Pacific Ocean and northward into the Arctic Ocean, making it the world's List of coun ...
.


Selected publications

* * * * * * Womersley, J. R. (1957). An Elastic Tube Theory of Pulse Transmission and Oscillatory Flow in Mammalian Arteries,
Wright Air Development Center Wright is an occupational surname originating in England and Scotland. The term 'Wright' comes from the circa 700 AD Old English word 'wryhta' or 'wyrhta', meaning worker or shaper of wood. Later it became any occupational worker (for example, a ...
Technical Report 56-614, (sometimes referred to as WADC TR56-614 and sometimes cited as 1958) * A complete bibliography was compiled by Brian E. Carpenter and Robert W. Doran


References

{{DEFAULTSORT:Womersley, John R. 1907 births 1958 deaths 20th-century British mathematicians British fluid dynamicists History of computing in the United Kingdom Scientists of the National Physical Laboratory (United Kingdom)