Conference on Modelling Fluid Flow (CMFF'06)

Conference on Modelling Fluid Flow (CMFF'06)

19ème Congrès Français de Mécanique Marseille, 24-28 août 2009 Osborne Reynolds: the Turbulent Years Brian Launder School of Mechanical, Aerospace & Civil Engineering, The University of Manchester, PO Box 88, Manchester M60 1QD, UK. Tel.: +44 161 306 3801, Fax: +44 161 306 3723, E-mail: [email protected] ABSTRACT turbulent and momentous years providing the The paper summarizes aspects in the life of centre-piece of this article. While inevitably, much Osborne Reynolds, FRS, with particular attention of what is presented below will be known to those to: his appointment to the newly established Chair who have read one or more of the cited works of Civil & Mechanical Engineering at Owens above, archive material held by the University of College Manchester in 1868; hitherto unreported Manchester and The Royal Society provides new aspects of his personal life concerning his second perspectives on parts of his career. Osborne Reynolds was born on August 21st, marriage; and the period from 1883 to 1895 during st which his pioneering and much cited papers on 1842 at 3 Donegall Place, Belfast adjacent to the 1 . turbulent flow were published, despite in one case Belfast Collegiate School where his father, the strong criticisms from the referees. The paper also Revd. Osborne Reynolds, was for a short time examines Reynolds‟ unsuccessful applications in Principal. Despite the brevity of the family‟s stay in 1884 for professorships in London and Cambridge. Ireland, at least two Irish history websites include The former was for a position requiring a major Osborne Reynolds in their listings of famous organizational role which, had his application Irishmen (lists that also include Sir George Stokes succeeded, may well have prevented his Reynolds- and Lord Kelvin, the former of whom will play a decomposition analysis from being written. significant role later in this account). In fact, in 1843 the family moved to Chesham in Keywords: Horace Lamb, Lord Rayleigh, Buckinghamshire where the Revd. Reynolds had Osborne Reynolds, Reynolds decomposition, Sir obtained a position as curate. However, in 1844 his George Stokes, William Cawthorne Unwin wife died in the delivery of their third child (the eldest progeny, Jane, had been born in 1840) leaving him a widower with three small children to 1. INTRODUCTION care for (J.D.Jackson, personal communication). In the wake of this family tragedy he succeeded in 1.1. Early Years obtaining the position as head-master of Dedham Accounts of Osborne Reynolds‟ life and works Grammar School, in Essex, Fig. 1. There young have appeared in numerous articles beginning with Osborne spent his early years being tutored initially a remarkably perceptive obituary notice published by his father who had himself read Mathematics at in Nature within eight days of his death and a Cambridge and had developed a strong interest in similar, more extensive account by Sir Charles practical mechanics. In 1848 his grandfather who Lamb, FRS published by the Royal Society, [1]. (like his father before him) was rector of Debach in More recent reviews have been provided by Suffolk died and his father, who already owned a Gibson[2] a student and, later, an academic farm near the village, stepped in as temporary colleague of Reynolds, by Allen[3], who provided replacement rector, a responsibility he discharged in the leading article in a volume marking the passage parallel with his duties as headmaster at Dedham, of 100 years from Reynolds taking up his chair (J.D.Jackson, personal communication ). appointment in Manchester and by Jackson [4] in an issue of Proc. Roy. Soc. celebrating the centenary of the publication of Reynolds‟ paper, [5], on what we now call the “Reynolds decomposition” of the Navier-Stokes equations (leading to the Reynolds equations in which the Reynolds stresses appear as unknowns). A good deal more will be said about this last paper later in the present article. It is appropriate, however, that we should begin with a brief summary of Reynolds‟ life that preceded the 1 19ème Congrès Français de Mécanique Marseille, 24-28 août 2009 based. In my boyhood I had the constant guidance of my father, also a lover of mechanics and a man of no mean achievement in mathematics and their application to physics.” The hand-written opening of this letter is shown in Fig. 2. Figure 1: The Old Schoolhouse, Dedham (a) in Reynolds’ time (b) today At the age of nineteen Osborne Reynolds, having acquired equally as strong a fascination for mechanics as his father, left home to join the engineering workshop of Edward Hayes, a mechanical engineer of Stoney Stratford, where typically a dozen apprentices (or, perhaps more accurately, the sons of middle-class country families) would be taking their first steps in learning the rudiments of mechanics. Reynolds‟ object in taking this placement, as explained later in a testimonial for him by Mr Hayes, was „to learn in Fig. 2: The opening of Reynolds’ letter of the shortest time possible how work should be done application and, as far as time would admit, to be made a working Mechanic before going to Cambridge to 1.2. Chair application at Owens College work for Honours‟ (UoM Arch). In 1863 Reynolds was duly admitted, like his father, to Queens‟ Much has been made of Reynolds‟ youth and College, whence he graduated with a BA in 1867 as (thus) his audacity in applying for the Chair and, seventh Wrangler. This level of distinction did not equally, the wisdom of the appointing committee come easily, however, as a quotation from his tutor (which included William Fairbairn and Joseph below shows. Thereafter, he took up employment Whitworth) in choosing him. It is seen from Table with Lawson & Mansergh, in London but within a 1, however, that Reynolds was by no means the few months news reached him that Owens College, youngest candidate. In the 1860‟s, knowledge of Manchester had advertised the creation of a Mechanics and a vision of where it might lead must Professorship in Engineering. On January 18th, 1868 have been as much an area where the real experts he duly wrote a letter of application that begins were still in their twenties as certain aspects of (UoM Arch): software engineering are today. “Gentlemen, The Chair was initially advertised at a salary of I beg leave to offer myself as a candidate for £250 per annum. Eighteen applications were the Professorship of Engineering at Owen‟s [sic] received, Table 1, including Reynolds‟ and that of College. I am in my 26th year. From my earliest Mr William Cawthorne Unwin who will also appear recollection I have had an irresistible liking for later in this account. This last named felt he must mechanics; and the studies to which I have have a good chance as he had been assured of especially devoted my time are mechanics and the strong support from his former employer and one of physical laws on which mechanics as a science are the selection committee, William Fairbairn. The procedure was for candidates to submit their 2 19ème Congrès Français de Mécanique Marseille, 24-28 août 2009 supporting reference letters and in Reynolds‟ case, Table 1: Applicants for Owens Chair in at least, the hand-written letters (of which there Engineering (transcribed from the manuscript were around a dozen) were complemented by a document, UoM Archive) printed version of the same and of the letter of application itself. Reynolds‟ letters included one No. Camdidate Name Age from Mr Hayes from which the quotation above has 1 Samuel Downing L been taken, another from Archibald Sandeman, then 2 Francis Albert Ranken 28 Professor of Mathematics at Owens but who had 3 Cameron Knight 38 4 William O‟Brien 37 formerly been Reynolds‟ tutor at Queens‟ College 5 Paul R. Hodge 55 plus three others from Cambridge staff: a cursory 6 Edward Sang 63 note from James Clerk Maxwell, FRS confirming 7 George Ross L Reynolds‟ standing in the graduating list, and more 8 Goodwin White 22 9 Osborne Reynolds 25 fulsome communications from J. C. Challis, FRS, 10 E. Nugent 45 Professor of Astronomy and the mathematics tutor, 11 William Cawthorne Unwin 29 John Dunn who commented that while on entry he 12 George Fredck Armstrong had lacked knowledge in mathematics “by innate 13 Joseph Pythian 24 14 Wm James Villiers Semtey 45 talent and undeviating perseverance Mr Reynolds 15 George Fuller 38 made the most rapid progress”. Perhaps most 16 James MacCallum 25 surprisingly to a 21st Century reader, possibly 17 J. J. Montgomery 35 connected with his son‟s reference to him in his 18 George F. Deacon 24 __ letter of application, the Reverend Osborne ________________________________ Reynolds also provided a reference, a task which, Applicants from the 2nd his words suggested, had surprised and embarrassed announcement him. He nevertheless praised his son‟s qualities and concluded: “The only point I can conceive against 19 Thomas Cargill 32 th 20 E. C. Farley 22 him is his youth – he is only in his 26 year. But this 21 William Henry Knapp 27 is compensated for by his early devotion to Science 22 Thomas Box 46 and the practice of his profession” 23 Walter West 33 24 Thomas John Crosthwait 28 Despite the large numbers of applications the 25 James N. Shoolbrest ½ minutes of a meeting of the Owens Committee of 26 Arthur Smith Truman 34 Trustees on January 30th 1868 reported the 27 W. J. Ellis 31 appointing committee‟s disappointment at their 28 William Edmund Rich 28 29 John Anstie 28 quality. However, Mr Charles F. Beyer, a German who had come to Manchester as an impecunious L= Application for Lectureship young man to make his fortune (and had!) offered to provide sufficient further funds to enable the post As for W.

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