Question: At what age did the mathematician, who studied engineering in the department headed by a prominent innovator in the understanding of fluid dynamics, enter the University of Manchester in 1904?

full_context: Document 1: Richardson Professor of Applied Mathematics: The Richardson Chair of Applied Mathematics is an endowed professorial position in the School of Mathematics, University of Manchester, England. The chair was founded by an endowment of £3,600 from one John Richardson, in 1890. The endowment was originally used to support the Richardson Lectureship in Mathematics.
Document 2: Christopher Evans (theologian): Born in Birmingham in 1909, Evans attended King Edward's School, renowned for its track record of producing theologians and Christian leaders, such as Edward Benson, once Archbishop of Canterbury. His classmates at the school at the time include the future Conservative MP Enoch Powell. After gaining a scholarship at Corpus Christi College, Cambridge, he became influenced by Sir Edwyn Clement Hoskyns who encouraged emphasis on literary forms used in the Bible, including songs, proverbs and stories. He later spent a year being taught by Michael Ramsey, at Lincoln Theological College before serving four years in parochial ministry in Southampton.
Document 3: Keith Martin Ball: Ball was educated at Berkhamsted School and Trinity College, Cambridge where he studied the Cambridge Mathematical Tripos and was awarded a Bachelor of Arts degree in Mathematics in 1982 and a PhD in 1987 for research supervised by Béla Bollobás.
Document 4: Reynolds number: The Reynolds number (Re ) is an important dimensionless quantity in fluid mechanics used to help predict flow patterns in different fluid flow situations. It has wide applications, ranging from liquid flow in a pipe to the passage of air over an aircraft wing. The Reynolds number is used to predict the transition from laminar to turbulent flow, and used in the scaling of similar but different-sized flow situations, such as between an aircraft model in a wind tunnel and the full size version. The predictions of onset of turbulence and the ability to calculate scaling effects can be used to help predict fluid behaviour on a larger scale, such as in local or global air or water movement and thereby the associated meteorological and climatological effects.
Document 5: Henri Bénard: Henri Claude Bénard, (25 October 1874 – 29 March 1939), French physicist, best known for his research on convection in liquids that now carries his name, Bénard convection. In addition, the historical surveys of both Tokaty and von Kármán both acknowledge that Bénard studied the vortex shedding phenomenon later named the von Karman vortex street, prior to von Karman's own contributions. Bénard specialized in experimental fluid dynamics, and the use of optical methods to study it. He was a faculty member at the universities at Lyon, Bordeaux, and finally the Sorbonne in Paris.
Document 6: Rankine body: The Rankine body discovered by Scottish physicist and engineer William John Macquorn Rankine, is a feature of naval architecture involving the flow of liquid around a body/surface.
Document 7: M. Jaffar-ur-Rehman: He topped Quaid-i-Azam University by setting an all-time Computer Science Department record of a cumulative grade point average (CGPA) of 4.9 on a scale of 5.0. In result, he was awarded the Quaid-e-Azam Scholarship for higher studies abroad, which he used to receive his Master of Science (M.Sc) degree and his Ph.D. in computer science in the United States. He completed his M.Sc. in just one year at the University of Pennsylvania by securing a CGPA of 3.9 on a scale of 4.0. He taught in Australia for around three years during his Ph.D. He came back to Pakistan after fully completing his Ph.D., where he taught at Quaid-e-Azam University, Bahauddin Zakariya University, Lahore University of Management Sciences (LUMS), and then Mohammad Ali Jinnah University.
Document 8: Hydraulics Research Station: The Hydraulics Research Station (HRS) was created by the UK Department of Scientific and Industrial Research in 1947. The Research Station was based in Wallingford, near Oxford. It was established to deal with “looser boundary” problems such as coastal erosion, flood protection and the silting and scouring of rivers, estuaries and harbours. The Hydraulics Research Station was housed at Howbery Park as a government establishment until 1982, when it was privatised from the Department of the Environment (DoE) to become Hydraulics Research Station Limited. It is now known as HR Wallingford. During its existence, HRS contributed to advance hydraulics research. It also worked on water-related projects in the UK and around the world.
Document 9: Osborne Reynolds: Osborne Reynolds FRS ( ; 23 August 1842 – 21 February 1912) was a prominent innovator in the understanding of fluid dynamics. Separately, his studies of heat transfer between solids and fluids brought improvements in boiler and condenser design. He spent his entire career at what is now called University of Manchester.
Document 10: Sydney Chapman (mathematician): Chapman was born in Eccles, near Salford in England and began his advanced studies at a technical institute, now the University of Salford, in 1902. In 1904 at age 16, Chapman entered the University of Manchester. He competed for a scholarship to the university offered by his home county, and was the last student selected. Chapman later reflected, "I sometimes wonder what would have happened if I'd hit one place lower." He initially studied engineering in the department headed by Osborne Reynolds. Chapman was taught mathematics by Horace Lamb, the Beyer professor of mathematics, and J. E. Littlewood, who came from Cambridge in Chapman's final year at Manchester. Although he graduated with an engineering degree, Chapman had become so enthusiastic for mathematics that he stayed for one further year to take a mathematics degree. Following Lamb's suggestion, Chapman applied for a scholarship to Trinity College, Cambridge. He was at first awarded only a partial scholarship as a sizar (meaning that he obtained financial support by acting as a servant to other students), but from his second year onwards he received a full scholarship. He graduated as a wrangler in 1910. He began his research in pure mathematics under G. H. Hardy, but later that year was asked by Sir Frank Dyson to be his chief assistant at the Royal Greenwich Observatory.
Document 11: E. C. Rhodes: Edmund Cecil Rhodes (1892–1964), a statistician, was born in Yorkshire and named after Cecil Rhodes. He went to Bradford Grammar School and Trinity College, Cambridge where he graduated as Wrangler (B-star) in 1914. In 1924 he became Reader at the London School of Economics where he remained until he retired in 1958. He wrote for Biometrika and the Journal of the Royal Statistical Society, and Edgeworth called him a "pathbreaker" (see obituary by Grebenik).
Document 12: Experiments in Fluids: Experiments in Fluids is a scientific, peer-reviewed scientific journal published monthly by Springer Science+Business Media. The journal presents contributions that employ existing experimental techniques to gain an understanding of the underlying flow physics in specific areas. These areas include turbulence, aerodynamics, hydrodynamics, convective heat transfer, combustion, turbomachinery, multi-phase flows, and chemical, biological and geological flows. In addition, papers report on investigations combining experimental and analytical/numerical approaches. The journal also publishes letters and review articles.
Document 13: George Barker Jeffery: Jeffery was born in 1891 and educated at Strand School, Wilson's School and at King's College London. In 1909 he qualified as a teacher at the London Day Training College and graduated from University College London in 1911. From 1912 to 1921 Jeffery served as Assistant Lecturer in Applied Mathematics at University College, London. He was a research student and assistant of L. N. G. Filon. In 1921 he became University Reader in Mathematics at University College. In 1922 he was appointed Professor of Mathematics at King's College London. In 1924 he returned to University College as Astor Professor of Pure Mathematics (upon the retirement of M. J. M. Hill in 1923).
Document 14: George Batchelor: George Keith Batchelor FRS (8 March 1920 – 30 March 2000) was an Australian applied mathematician and fluid dynamicist. He was for many years the Professor of Applied Mathematics in the University of Cambridge, and was founding head of the Department of Applied Mathematics and Theoretical Physics (DAMTP). In 1956 he founded the influential "Journal of Fluid Mechanics" which he edited for some forty years. Prior to Cambridge he studied in Melbourne High School.
Document 15: Richard von Mises: Richard Edler von Mises ( ; ] ; 19 April 1883 – 14 July 1953) was a scientist and mathematician who worked on solid mechanics, fluid mechanics, aerodynamics, aeronautics, statistics and probability theory. He held the position of Gordon-McKay Professor of Aerodynamics and Applied Mathematics at Harvard University. He described his work in his own words shortly before his death as being on
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