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, structure, space, models, and change. History On ...
and
computer scientist A computer scientist is a person who is trained in the academic study of computer science. Computer scientists typically work on the theoretical side of computation, as opposed to the hardware side on which computer engineers mainly focus (al ...
who made important contributions to
computer A computer is a machine that can be programmed to Execution (computing), carry out sequences of arithmetic or logical operations (computation) automatically. Modern digital electronic computers can perform generic sets of operations known as C ...
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 mo ...
. Nowadays he is principally remembered for his contribution to
blood flow 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 m ...
,
fluid dynamics In physics and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids— liquids and gases. It has several subdisciplines, including ''aerodynamics'' (the study of air and other gases in motion) an ...
and the eponymous
Womersley number The Womersley number (\alpha or \text) is a dimensionless number in biofluid mechanics and biofluid dynamics. It is a dimensionless expression of the pulsatile flow frequency in relation to viscous effects. It is named after John R. Womersley ...
, a dimensionless parameter characterising unsteady flow.


Biography


Early life and education

Womersley was born on 20 June 1907 in
Morley Morley may refer to: Places England * Morley, Norfolk, a civil parish * Morley, Derbyshire, a civil parish * Morley, Cheshire, a village * Morley, County Durham, a village * Morley, West Yorkshire, a suburban town of Leeds and civil parish * M ...
, near
Leeds Leeds () is a city and the administrative centre of the City of Leeds district in West Yorkshire, England. It is built around the River Aire and is in the eastern foothills of the Pennines. It is also the third-largest settlement (by populati ...
in the
West Riding The West Riding of Yorkshire is one of three historic subdivisions of Yorkshire, England. From 1889 to 1974 the administrative county County of York, West Riding (the area under the control of West Riding County Council), abbreviated County ...
of
Yorkshire Yorkshire ( ; abbreviated Yorks), formally known as the County of York, is a Historic counties of England, historic county in northern England and by far the largest in the United Kingdom. Because of its large area in comparison with other Eng ...
. He was the only child of George William and Ruth Womersely; his father managed a
grocery store A grocery store ( AE), grocery shop ( BE) or simply grocery is a store that primarily retails a general range of food products, which may be fresh or packaged. In everyday U.S. usage, however, "grocery store" is a synonym for supermarket, a ...
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 financial aid awarded to students for further education. Generally, scholarships are awarded based on a set of criteria such as academic merit, diversity and inclusion, athletic skill, and financial need. Scholarsh ...
to the
University of Cambridge , mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Schola ...
and the Royal Scholarship in Physics at
Imperial College of Science and Technology Imperial College London (legally Imperial College of Science, Technology and Medicine) is a public research university in London, United Kingdom. Its history began with Prince Albert, consort of Queen Victoria, who developed his vision for a cu ...
, but he chose to read
mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
at Imperial College. His courses included
Pure Pure may refer to: Computing * A pure function * A pure virtual function * PureSystems, a family of computer systems introduced by IBM in 2012 * Pure Software, a company founded in 1991 by Reed Hastings to support the Purify tool * Pure-FTPd, F ...
and
Applied Mathematics Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical s ...
,
Physics Physics is the natural science that studies matter, its 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 which r ...
,
Hydrodynamics In physics and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids—liquids and gases. It has several subdisciplines, including ''aerodynamics'' (the study of air and other gases in motion) and ...
and the
Kinetic Theory of Gases Kinetic (Ancient Greek: κίνησις “kinesis”, movement or to move) may refer to: * Kinetic theory, describing a gas as particles in random motion * Kinetic energy, the energy of an object that it possesses due to its motion Art and enter ...
. He was awarded a BSc degree with first-class honours in mathematics in 1929 and became an associate of the
Royal College of Science The Royal College of Science was a higher education institution located in South Kensington; it was a constituent college of Imperial College London from 1907 until it was wholly absorbed by Imperial in 2002. Still to this day, graduates from th ...
. He remained at Imperial College for another two years and was awarded the
Diploma of Imperial College The Diploma of the Imperial College (DIC) is an academic certificate awarded by Imperial College London to its postgraduate students upon graduation. Until 2007, Imperial was part of the University of London and Imperial College bestowed the Un ...
(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 The Shirley Institute was established in 1920 as the British Cotton Industry Research Association at The Towers in Didsbury, Manchester, as a research centre dedicated to cotton production technologies. It was funded by the Cotton Board through ...
(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, a branch of mathematics, to statistics, as opposed to techniques for collecting statistical data. Specific mathematical techniques which are used for this include mathematical an ...
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), the ...
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 places ...
. 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 Un ...
and became interested in
computation Computation is any type of arithmetic or non-arithmetic calculation that follows a well-defined model (e.g., an algorithm). Mechanical or electronic devices (or, historically, people) that perform computations are known as ''computers''. An es ...
al techniques. As a result, he spent a month at
HM Nautical Almanac Office His Majesty's Nautical Almanac Office (HMNAO), now part of the United Kingdom Hydrographic Office, was established in 1832 on the site of the Royal Observatory, Greenwich (ROG), where ''The Nautical Almanac'' had been published since 1767. HMNAO ...
, 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 operat ...
at the
University of Manchester , mottoeng = Knowledge, Wisdom, Humanity , established = 2004 – University of Manchester Predecessor institutions: 1956 – UMIST (as university college; university 1994) 1904 – Victoria University of Manchester 1880 – Victoria Univer ...
; 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 district in 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 maintained throu ...
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 ranged weapon munitions such as bullets, unguided bombs, rockets or the like; the science or art of designing and a ...
and
ammunition Ammunition (informally ammo) is the material fired, scattered, dropped, or detonated from any weapon or weapon system. Ammunition is both expendable weapons (e.g., bombs, missiles, grenades, land mines) and the component parts of other weap ...
proofing. In 1942, after the outbreak of
World War II World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the vast majority of the world's countries—including all of the great powers—forming two opposin ...
, 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 in 1939 to co-ordinate the supply of equipment to all three British armed forces, headed by the Minister of Supply. A separate ministry, however, was responsible for aircr ...
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 Chie ...
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 designed by Alan Turing. It was based on the earlier Pilot ACE. It led to the MOSAIC computer, the Bendi ...
(ACE), echoing
Babbage Charles Babbage (; 26 December 1791 – 18 October 1871) was an English polymath. A mathematician, philosopher, inventor and mechanical engineer, Babbage originated the concept of a digital programmable computer. Babbage is considered ...
's
Analytical Engine The Analytical Engine was a proposed mechanical general-purpose computer designed by English mathematician and computer pioneer Charles Babbage. It was first described in 1837 as the successor to Babbage's difference engine, which was a des ...
. 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 a Bell Labs researcher 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 realization of Boole ...
's machines and
von Neumann Von Neumann may refer to: * John von Neumann (1903–1957), a Hungarian American mathematician * Von Neumann family * Von Neumann (surname), a German surname * Von Neumann (crater), a lunar impact crater See also

* Von Neumann algebra * Von Ne ...
'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. Turing was highly influential in the development of theoretical com ...
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 who was employed at the UK National Physical Laboratory (NPL). In 1965 he conceived of packet switching, which is today the dominant basis for data communic ...
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 computers ...
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 P ...
(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 The Hollerith Electronic Computer (HEC) was produced by the British Tabulating Machine Company (BTM) and was based on a design by Professor Andrew Booth of Birkbeck College, London. It was Britain's first mass-produced business computer. The pro ...
(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 and is currently run by Barts Health NHS Trust. History Early history Barts was founded in 1123 by Rahere (died ...
, who were studying
blood flow 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 m ...
in
arteries An artery (plural arteries) () is a blood vessel in humans and most animals that takes blood away from the heart to one or more parts of the body (tissues, lungs, brain etc.). Most arteries carry oxygenated blood; the two exceptions are the pul ...
. 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 The Aeronautical Systems Center (ASC) is an inactivated Air Force product center that designed, developed and delivered weapon systems and capabilities for U.S. Air Force, other U.S. military, allied and coalition-partner warfighters. ASC managed ...
,
Dayton Dayton () is the sixth-largest city in the U.S. state of Ohio and the county seat of Montgomery County. A small part of the city extends into Greene County. The 2020 U.S. census estimate put the city population at 137,644, while Greater Da ...
, 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 mo ...
. Most notably in 1955 he published an article which described a dimensionless parameter (α) which characterised the nature of
unsteady flow In physics and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids—liquids and gases. It has several subdisciplines, including ''aerodynamics'' (the study of air and other gases in motion) and ...
; subsequently this has been called the
Womersley number The Womersley number (\alpha or \text) is a dimensionless number in biofluid mechanics and biofluid dynamics. It is a dimensionless expression of the pulsatile flow frequency in relation to viscous effects. It is named after John R. Womersley ...
. 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. ...
, London in 1931. The couple had three daughters, Barbara, Ruth and Marion. Womersley's wife, Jean lived in
Dayton Dayton () is the sixth-largest city in the U.S. state of Ohio and the county seat of Montgomery County. A small part of the city extends into Greene County. The 2020 U.S. census estimate put the city population at 137,644, while Greater Da ...
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 ten provinces and three territories extend from the Atlantic Ocean to the Pacific Ocean and northward into the Arctic Ocean, covering over , making it the world's second-largest country by tot ...
.


Selected publications

* * * * * * Womersley, JR (1957). An Elastic Tube Theory of Pulse Transmission and Oscillatory Flow in Mammalian Arteries,
Wright Air Development Center The Aeronautical Systems Center (ASC) is an inactivated Air Force product center that designed, developed and delivered weapon systems and capabilities for U.S. Air Force, other U.S. military, allied and coalition-partner warfighters. ASC managed ...
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 Fluid dynamicists History of computing in the United Kingdom