DOCSLIB.ORG

Understanding Fluid Flow: AIMS Library Series Grae Worster Frontmatter More Information

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Understanding Fluid Flow: AIMS Library Series Grae Worster Frontmatter More Information Cambridge University Press 978-0-521-13289-3 - Understanding Fluid Flow: AIMS Library Series Grae Worster Frontmatter More information UNDERSTANDING FLUID FLOW © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-13289-3 - Understanding Fluid Flow: AIMS Library Series Grae Worster Frontmatter More information © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-13289-3 - Understanding Fluid Flow: AIMS Library Series Grae Worster Frontmatter More information African Institute of Mathematics Library Series The African Institute of Mathematical Sciences (AIMS), founded in 2003 in Muizenberg, South Africa, provides a one-year postgraduate course in mathematical sciences for students throughout the continent of Africa. The AIMS LIBRARY SERIES is a series of short innovative texts, suitable for self-study, on the mathematical sciences and their applications in the broadest sense. Editorial Board Professor J. Banasiak (University of KwaZulu-Natal) Professor A.F. Beardon (University of Cambridge) Professor P. Deift (Courant Institute of Mathematical Sciences) Professor P.E. Dorey (Durham University) Professor B.W. Green (University of Stellenbosch) Professor F.W. Hahne (The Director, AIMS) Professor A. Iserles (University of Cambridge) Professor P.E. Kopp (University of Hull) Professor P. Sarnak (Institute for Advanced Study Princeton) Dr. T. Tokieda (University of Cambridge) Professor N.G. Turok (University of Cambridge and Perimeter Institute, Ontario) © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-13289-3 - Understanding Fluid Flow: AIMS Library Series Grae Worster Frontmatter More information © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-13289-3 - Understanding Fluid Flow: AIMS Library Series Grae Worster Frontmatter More information AIMS Library Series UNDERSTANDING FLUID FLOW GRAE WORSTER Institute of Theoretical Geophysics Department of Applied Mathematics and Theoretical Physics University of Cambridge © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-13289-3 - Understanding Fluid Flow: AIMS Library Series Grae Worster Frontmatter More information The Water Club, Beach Road, Granger Bay, Cape Town 8005, South Africa Cambridge University Press is part of the University of Cambridge. It furthers the University’s mission by disseminating knowledge in the pursuit of education, learning and research at the highest international levels of excellence. www.cambridge.org Information on this title: www.cambridge.org/ 9780521132893 © Cambridge University Press 2009 This publication is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press. First published 2009 A catalogue record for this publication is available from the British Library isbn 978-0-521-13289-3 Paperback Cambridge University Press has no responsibility for the persistence or accuracy of URLs for external or third-party internet websites referred to in this publication, and does not guarantee that any content on such websites is, or will remain, accurate or appropriate. © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-13289-3 - Understanding Fluid Flow: AIMS Library Series Grae Worster Frontmatter More information Contents Preface page xi 1 Building intuition 1 Viscous fluids 1 Normal stress 3 The no-slip condition 3 A viscous gravity current 4 Dynamic viscosity 5 Tangential shear stress 6 Assignment 1 7 2 Parallel viscous flow 9 Momentum equation 9 Boundary conditions 10 Parallel flow in a channel 11 Poiseuille flow in a pipe 13 Film flow on a vertical surface 15 Couette versus Poiseuille 16 Unsteady parallel viscous flows 18 Kinematic viscosity 22 Viscous boundary layers 23 3 Viscous gravity currents 25 Scaling analysis 27 Velocity profile and volume flux 27 Conservation of mass 28 © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-13289-3 - Understanding Fluid Flow: AIMS Library Series Grae Worster Frontmatter More information Contents Similarity solution 29 Assignment 2 31 4 Equations of flow 37 The Navier–Stokes momentum equation 37 Hydrostatic and dynamic pressure 39 Mass conservation 40 Stream functions 42 Scaling the Navier–Stokes equations 45 Stagnation-point flow 49 Viscous boundary layer 50 Bernoulli’s theorem 54 The momentum integral 57 5 Interactions between linear flows 63 Linear flow 63 Pure straining flow 64 Vorticity 65 The vorticity equation 65 Vortex stretching 66 Dissipation and generation of vorticity 68 6 Flows around rigid objects 71 Irrotational incompressible potential flow 71 Potential flow past a sphere 71 The force in potential flow 73 Flow separation and drag 74 The origin of separation 75 Circulation around a rigid body 77 Irrotational flow with circulation – causing lift 79 7 Waves and instability 83 Energy conservation in potential flow 83 Waves on deep water 84 Properties of deep-water waves 86 Ship wakes 88 Group velocity 90 © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-13289-3 - Understanding Fluid Flow: AIMS Library Series Grae Worster Frontmatter More information Contents Hydrodynamic instability 92 Turbulence 98 Epilogue 100 Bibliography 101 Index 103 © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-13289-3 - Understanding Fluid Flow: AIMS Library Series Grae Worster Frontmatter More information © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-13289-3 - Understanding Fluid Flow: AIMS Library Series Grae Worster Frontmatter More information xi Preface This book is an account of lectures that I gave at AIMS (the African Institute of Mathematical Sciences) in 2008, which were developed from two earlier courses I had given there in 2004 and 2006. I did not set out to write a textbook but rather to present a diary, summarising and reviewing what I had tried to convey to the students in the hour or two immediately preceding writing. This reflects the fact that lectures at AIMS are dynamic, interactive sessions and I had prepared little by way of formal lecture notes in advance. To be sure, there was some didactic delivery of ideas, but that lecturing activity was interspersed with problem-solving activities and many, many questions from stu- dents so that the educational process was much more of a conversation than is typical of most university courses I have given. Having now put this material in writing, I hope that it might interest and inspire students and teachers alike but will not constrain or encourage future lecturers at AIMS or elsewhere to teach rigidly from the book. Where, in the course of writing, I discovered some small point that I had omitted to mention or some additional clarification or illustration that I felt would be helpful, I allowed myself to include it. Other than that, I have made no attempt to expand upon what I taught or to provide a comprehensive introduction to fluid dynamics. A student interested in pursuing the ideas further should consult any of the many excellent texts that exist in this subject, a few of which are described in the Bibliography. In my view, fluid dynamics as a discipline sits squarely between physics and mathematics. It is important to understand the physical interactions involved well enough to codify them within mathematical © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-13289-3 - Understanding Fluid Flow: AIMS Library Series Grae Worster Frontmatter More information xii Preface equations, and to have sufficient mathematical insight to know whether the equations are likely to be manageable. The equations must then be solved, often by making approximations with enough physical insight to know whether the important interactions have been retained, and with enough mathematical rigour to have confidence in the resulting predictions. And finally, the mathematical solution must be interpreted in a way that sheds light on the physical problem being studied. I tried to convey that balance in the course, with the result that this is neither a physics text nor a mathematics text but a text aimed at understanding fluid flow from fundamental physical ideas explained and developed by mathematical studies. I anticipate that readers will have a basic understanding of Newto- nian dynamics, and be familiar with ordinary differential equations and vector calculus to the level usually taught in introductory undergraduate courses. The first two times that I lectured at AIMS, I shared the three-week course with another lecturer: Daya Reddy from the University of Cape Town in 2004 and Keith Moffatt from Cambridge University in 2006. I nevertheless wanted my half course to be complete in itself and to convey something meaningful about fluid dynamics as an important topic of current research to students who had never met the subject before. I felt it important that the students learn about real, viscous fluids, to have a taste of analytical, numerical and experimental approaches to understanding and quantifying the flow of fluids, and to experience the satisfaction and some of the limitations
Load more

Recommended publications
  • February 2007
    THE LONDON MATHEMATICAL SOCIETY NEWSLETTER No. 356 February 2007 Forthcoming NEXT STEPS a problem with any transfer- ence of the existing two such Society INITIATIVE grades within the IMA (Fellow Meetings The second meeting of the and Member) into a new Joint Planning Group to body. This problem needs to 2007 develop the framework for a be resolved and it was agreed Friday 9 February possible unification of the to ask two individuals to draft London IMA and LMS took place on opposing papers as a basis for P. Maini 6 December 2006. Verbal further and fuller discussion. A. Stevens reports from Council meet- The Group went on to con- (Mary Cartwright ings of both bodies were sider proposals for a Lecture) given. The LMS Council had Constitution. Good progress [page 3] been the less satisfied of the was made on matters of rep- 1 two with the three papers – resentation: the future Friday 20 April Vision and Mission, Council, elections to it, co- Midlands Regional Constitution and Membership option, constituencies, its Meeting – that the Group had pro- Boards, Committees and serv- Loughborough duced for them. They asked ice areas. There was general Y. Colin de Verdière for improvements to the agreement on the principles F. Kirwan Vision and Mission paper and that would underlie the draft- O. Viro expressed concerns over the ing of a Charter, By-Laws and proposed membership struc- Regulations and on the ring- Tuesday 24 April ture. By contrast the IMA fencing and protection of the David Crighton Council was reported to LMS research funds.
    [Show full text]
  • Strings and Geometry
    Clay Mathematics Proceedings This volume is the proceedings of Volume 3 the 2002 Clay Mathematics Institute 3 School on Geometry and String Theory. This month-long program Strings and was held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, England, and was organized by both mathematicians and physicists: A. Corti, R. Dijkgraaf, M. Douglas, J. Gauntlett, M. Gross, C. Hull, A. Jaffe and M. Reid. The early part of the school had many lectures that introduced various G STRINGS AND concepts of algebraic geometry eometry and string theory with a focus on improving communication between GEOMETRY these two fields. During the latter Proceedings of the part of the program there were also Clay Mathematics Institute a number of research level talks. 2002 Summer School This volume contains a selection of expository and research articles Isaac Newton Institute by lecturers at the school, and D Cambridge, United Kingdom highlights some of the current ouglas, interests of researchers working March 24–April 20, 2002 at the interface between string theory and algebraic geometry. The topics covered include manifolds G Michael Douglas of special holonomy, supergravity, auntlett and Jerome Gauntlett supersymmetry, D-branes, the McKay correspondence and the Mark Gross Fourier-Mukai transform. Editors G ross, Editors CMIP/3 www.ams.org American Mathematical Society AMS www.claymath.org CMI Clay Mathematics Institute 4-color process 392 pages • 3/4” spine STRINGS AND GEOMETRY Clay Mathematics Proceedings Volume 3 STRINGS AND GEOMETRY Proceedings of the Clay Mathematics Institute 2002 Summer School on Strings and Geometry Isaac Newton Institute Cambridge, United Kingdom March 24–April 20, 2002 Michael Douglas Jerome Gauntlett Mark Gross Editors American Mathematical Society Clay Mathematics Institute 2000 Mathematics Subject Classification.
    [Show full text]
  • 2009 David Crighton Award
    id21473265 pdfMachine by Broadgun Software - a great PDF writer! - a great PDF creator! - http://www.pdfmachine.com http://www.broadgun.com THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS Media release 2 October 2009 For immediate release 2009 David Crighton Award Cambridge mathematician Professor Keith Moffatt, FRS, has been honoured for a career which has combined world class research in applied mathematicians with determined efforts to draw mathematicians together from around the world. The Councils of the Institute of Mathematics and its Applications and of the London Mathematical Society have awarded the 2009 David Crighton Medal for services to mathematics and to the mathematical community to Professor, Emeritus Professor of Mathematical Physics at the University of Cambridge, in recognition of his contributions to fluid dynamics and mathematical modelling and for his leadership in many positions in UK and international mathematical organisations. Professor David Abrahams, president of the IMA, said, “The contribution Keith made to the UK and international mathematics communities is incomparable. He has worked tirelessly to set up mathematical research in developing nations, and has been a long-term champion of the African Institute of Mathematical Sciences in Cape Town. And as director of the UK’s national institute for the mathematical sciences - the Isaac Newton Institute in Cambridge - he attracted exceptional programmes from across the full mathematical spectrum. Participants speak with great affection of his constant interest in their programmes and his attention to detail.” Sir John Ball, president of the LMS, paid tribute to Professor Moffatt’s research career, which spanned 50 years. He said, “Keith is one of the world’s foremost applied mathematicians.
    [Show full text]
  • NUS-IMPRINT 9.Indd
    ISSUE 9 Newsletter of Institute for Mathematical Sciences, NUS 2006 Keith Moffatt: Magnetohydrodynamic Attraction >>> He has been a visiting professor at the Ecole Polytechnique, Palaisseau,(1992–99), Blaise Pascal Professor at the Ecole Normale Superieure, Paris (2001–2003), and Leverhulme Emeritus Professor (2004–5). He has served as Editor of the Journal of Fluid Mechanics and as President of the International Union of Theoretical and Applied Mechanics (IUTAM). For his scientific achievements, he was awarded the Smiths Prize, Panetti-Ferrari Prize and Gold Medal, Euromech Prize for Fluid Mechanics, Senior Whitehead Prize of the London Mathematical Society and Hughes Medal of the Royal Society. He also received the following honors: Fellow of the Royal Society, Fellow of the Royal Society of Edinburgh, Member of Academia Europeae, Fellow of the American Physical Society, and Officier des Palmes Académiques. He was elected Foreign Member of the Royal Netherlands Academy of Arts and Sciences, Académie des Sciences, Paris, and Accademia Nazionale dei Lincei, Rome. Keith Moffatt He has published well over 100 research papers and a research monograph Magnetic Field Generation in Interview of Keith Moffatt by Y.K. Leong ([email protected]) Electrically Conducting Fluids (CUP 1978). Although retired from the Newton Institute, he continues to engage in research Keith Moffatt has, in a long and distinguished career, made and to serve the scientific community. In particular, he is 18 important contributions to fluid mechanics in general and a founding member of the Scientific Advisory Board (SAB), to magnetohydrodynamic turbulence in particular. His which has helped our Institute (IMS) to find its direction scientific achievements are matched by his organizational during the crucial first five years and establish itself on the and administrative skills, which he devoted most recently international scene.
    [Show full text]
  • Keith MOFFATT CURRICULUM VITAE March 2019 Date of Birth
    (Henry) Keith MOFFATT CURRICULUM VITAE March 2019 Date of birth: 12th April 1935, Edinburgh, Scotland. Present Position: Professor Emeritus of Mathematical Physics, Cambridge University and Life Fellow of Trinity College, Cambridge, UK e-mail: [email protected] personal webpage: https://sites.google.com/site/hkeithmoffatt Education and Degrees: 1943--53 George Watson's College, Edinburgh 1953 April-July: Exchange student at Lycée Henri IV, Paris 1953--57 Edinburgh University: B.Sc. 1st class Hons. (Math.Sc.) 1957 1957--62 Cambridge University: B.A. 1959 (1st class Hons. Mathematics (‘Wrangler’) 1958) Ph.D. 1962; Dissertation: "Magnetohydrodynamic Turbulence"; Sc.D. 1987 1959 Attended École d’Été de Physique Théorique (Les Houches), course on The Theory of Neutral and Ionised Gases. Honorary Doctorates: 1987 Docteur h.c. Inst. Nat. Polytech. Grenoble, France 1990 Doctor h.c. SUNY (State Univ. of New York at Utica, USA) 2001 Hon.D.Sc. Edinburgh University, UK 2006 Doctor h.c. Technical University, Eindhoven, Netherlands 2007 Hon. D.Sc. Glasgow University, UK Membership of National Academies: 1986 FRS (Fellow of the Royal Society, London) 1988 FRSE (Fellow of the Royal Society of Edinburgh) 1991 Royal Netherlands Academy of Arts and Sciences, Foreign Member 1994 Academia Europæa, Elected Member 1998 Académie des Sciences, Paris, Associé Étranger 2001 Accademia Nazionale dei Lincei, Rome, Socio Stranieri 2008 National Academy of Sciences (USA), Foreign Associate 2010 Academia das Ciéncias de Lisboa, Acadèmico Correspondente estrangeiro
    [Show full text]
  • George Keith Batchelor's Interaction with Chinese Fluid Dynamicists And
    Notes Rec. doi:10.1098/rsnr.2019.0034 Published online GEORGE KEITH BATCHELOR’S INTERACTION WITH CHINESE FLUID DYNAMICISTS AND INSPIRATIONAL INFLUENCE: A HISTORICAL PERSPECTIVE by JOHN Z. SHI* State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, 1954 Hua Shan Road, Shanghai 200030, China G. K. Batchelor Laboratory, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK Currently visiting: Emmanuel College Cambridge, St Andrew’s Street, Cambridge CB2 3AP, UK George Keith Batchelor (1920–2000, FRS 1957) was a towering figure in the twentieth century international fluid mechanics community. Much has been written about him since his death. This article presents an account of Batchelor’s early interactions and relationships with Chinese fluid dynamicists and his continuing inspirational influence on them, which have not yet been documented in English. The theory of homogeneous turbulence, to which Batchelor contributed greatly, has had both indirect and direct inspirational influence on generations of Chinese fluid dynamicists, as they have sought to make their own contributions. Batchelor made visits to China in 1980 and 1983. His first ice-breaking trip to China in April 1980 is of special importance to Sino-British fluid mechanics and to China, even though Batchelor did not speak about turbulence but instead about his more recent research interest, microhydrodynamics. Batchelor’s philosophical view of applied mathematics (fluid mechanics)—that ‘You have got to inject some physical thinking as well as mathematical thinking’—has had great inspirational influence on generations of fluid dynamicists in the UK, in China, and around the world.
    [Show full text]
  • Officers Number, Part I
    CAMBRIDGE UNIVERSITY REPORTER S P ECIAL NO 4 T H U R S D AY 8 F EBR U ARY 2018 VOL CXLVIII UNIVERSITY OFFICERS PART I NOTICE BY THE EDITOR 1 OFFICERS IN INSTITUTIONS PLACED unDER THE SupERVISION OF THE COunCIL 54 PRINCIPAL OFFICERS OF THE UNIVERSITY 2 University Offices 54 OFFICERS IN INSTITUTIONS PLACED unDER THE SupERVISION OF THE GENERAL BOARD 3 Principal Administrative Officer 54 Academic Division 54 Professors 3 Estate Management Division 55 Readers 16 Finance Division 56 Health, Safety, and Regulated Facilities Division 56 Composition of the Schools 21 Human Resources Division 57 Registrary’s Office Division 57 Faculties and Departments 22 University Sports Service 57 Architecture and History of Art 22 Vice-Chancellor’s Office 57 Asian and Middle Eastern Studies 22 Biology 23 Other Institutions under the supervision Business and Management 27 of the Council 58 Classics 27 ADC Theatre 58 Clinical Medicine 28 Careers Service 58 Computer Science and Technology 33 CU Development and Alumni Relations 58 Divinity 34 University Information Services 58 Earth Sciences and Geography 34 Holders of other posts 59 Economics 35 Cambridge Assessment 60 Education 36 Engineering 37 University Press 61 English 38 History 39 SPECIAL AppOINTMENTS 63 Human, Social, and Political Science 40 Preachers before the University 63 Law 42 Mathematics 43 EMERITUS OFFICERS 63 Modern and Medieval Languages 44 Music 45 Emeritus Vice-Chancellors 63 Philosophy 46 Emeritus Administrative Officers 63 Physics and Chemistry 46 Emeritus Professors 64 Veterinary Medicine
    [Show full text]
  • Profile of Keith Moffatt
    PROFILE Profile of Keith Moffatt Farooq Ahmed Science Writer Keith Moffatt was born in 1935 and raised field and obtained the spectrum of the mag- in Edinburgh, Scotland. He was four years netic fluctuations (2). The result would be old when his father left home to serve in verified experimentally nearly three decades the Second World War. “At that age, you later by French researchers, using liquid accept things,” Moffatt recalls. “It was a time gallium and an applied magnetic field (3). of great shortage. Everything in the UK was “The application that I had most in mind rationed—food, clothes, fuel, even sweets!” at that time,” Moffatt notes, “was in astro- The elder Moffatt, an accountant, had physics.” In the 1950s, dynamo theory, which introduced his son to mathematical games is the study of how the earth, stars, and other and arithmetic puzzles, and, when he re- heavenly bodies generate and maintain ’ turned at the war s end in 1945, recreational magnetic fields, was beset by conflicting mathematics recommenced. ideas. Furthermore, how these magnetic The early tutelage had a lasting effect: fields interacted with the interstellar medium ’ Keith Moffatt. Photo by Jill Paton-Walsh. Moffatt s facility with numbers would trans- and its turbulent ionized gases was poorly form into an aptitude for applied mathe- understood. matics and its use in fluid mechanics and helicity, but the result is there. He and I astrophysics. His contributions to our under- Knotted Vortices discovered it quite independently.” standing of magnetic and spin fields as well Toward the end of the 1960s, while teaching as his advocacy for the study of mathematics a course on magnetohydrodynamics, Moffatt Dynamos around the world have earned him fellow- identified an integral characteristic of fluid Helicity had immediate applications in dy- ships in the Royal Societies of both London flow that he named “helicity” (4), building on namo theory, and especially for the expla- ’ and Edinburgh.
    [Show full text]
  • Profile of Keith Moffatt
    PROFILE PROFILE Profile of Keith Moffatt Farooq Ahmed Science Writer Keith Moffatt was born in 1935 and raised field and obtained the spectrum of the mag- in Edinburgh, Scotland. He was four years netic fluctuations (2). The result would be old when his father left home to serve in verified experimentally nearly three decades the Second World War. “At that age, you later by French researchers, using liquid accept things,” Moffatt recalls. “It was a time gallium and an applied magnetic field (3). of great shortage. Everything in the UK was “The application that I had most in mind rationed—food, clothes, fuel, even sweets!” at that time,” Moffatt notes, “was in astro- The elder Moffatt, an accountant, had physics.” In the 1950s, dynamo theory, which introduced his son to mathematical games is the study of how the earth, stars, and other and arithmetic puzzles, and, when he re- heavenly bodies generate and maintain ’ turned at the war s end in 1945, recreational magnetic fields, was beset by conflicting mathematics recommenced. ideas. Furthermore, how these magnetic The early tutelage had a lasting effect: fields interacted with the interstellar medium ’ Keith Moffatt. Photo by Jill Paton-Walsh. Moffatt s facility with numbers would trans- and its turbulent ionized gases was poorly form into an aptitude for applied mathe- understood. matics and its use in fluid mechanics and helicity, but the result is there. He and I astrophysics. His contributions to our under- Knotted Vortices discovered it quite independently.” standing of magnetic and spin fields as well Toward the end of the 1960s, while teaching as his advocacy for the study of mathematics a course on magnetohydrodynamics, Moffatt Dynamos around the world have earned him fellow- identified an integral characteristic of fluid Helicity had immediate applications in dy- ships in the Royal Societies of both London flow that he named “helicity” (4), building on namo theory, and especially for the expla- ’ and Edinburgh.
    [Show full text]
  • RSE Fellows Ordered by Academic Discipline As at 15/04/2014
    RSE Fellows ordered by Academic Discipline as at 15/04/2014 HRH Prince Charles The Prince of Wales KG KT GCB Hon FRSE HRH The Duke of Edinburgh KG KT OM, GBE Hon FRSE HRH The Princess Royal KG KT GCVO, HonFRSE A1 Biomedical and Cognitive Sciences 2014 Professor Judith Elizabeth Allen FRSE, Professor of Immunobiology and Director of Research, School of Biological Sciences, University of Edinburgh. 1998 Dr Ferenc Andras Antoni FRSE, Head, Division of Preclinical Research, EGIS Pharmaceuticals plc. 1993 Sir John Peebles Arbuthnott MRIA PRSE, FMedSci, Former Principal and Vice-Chancellor, University of Strathclyde. Member, Food Standards Agency, Scotland; Chair, NHS Greater Glasgow and Clyde. 2010 Professor Andrew Howard Baker FRSE, Professor of Molecular Medicine, University of Glasgow. 1986 Professor Joseph Cyril Barbenel FRSE, Professor, Department of Electronic and Electrical Engineering, University of Strathclyde. 2013 Professor Michael Peter Barrett FRSE, Professor of Biochemical Parasitology, University of Glasgow. 2005 Professor Susan Margaret Black OBE FRSE, Director, Centre for Anatomy and Human Identification, University of Dundee. Director, Centre for Anatomy and Human Identification, University of Dundee. 2007 Professor Nuala Ann Booth FRSE, Personal Professor of Molecular Haemostasis and Thrombosis, University of Aberdeen. 2001 Professor Peter Boyle CorrFRSE, FMedSci, Former Director, International Agency for Research on Cancer, Lyon. 1991 Professor Sir Alasdair Muir Breckenridge CBE KB FRSE, FMedSci, Emeritus Professor of Clinical Pharmacology, University of Liverpool. 2007 Professor Peter James Brophy FRSE, FMedSci, Professor of Anatomy, University of Edinburgh. Director, Centre for Neuroregeneration, University of Edinburgh. 2013 Professor Gordon Douglas Brown FRSE, Professor of Immunology, University of Aberdeen. 2012 Professor Verity Joy Brown FRSE, Provost of St Leonard's College, University of St Andrews.
    [Show full text]
  • October 2009
    THE LONDON MATHEMATICAL SOCIETY NEWSLETTER No. 385 October 2009 Society COUNCIL MEETING Secretary. A total of 5 candidates have been proposed (9 by Nomi- Meetings 24 August 2009 nating Committee, 6 by members) and Events The Council of the Society met on for the 7 vacancies in Members-at- Monday 24 August under the new Large of Council. Four names have 2009 President, Sir John Ball, FRS, and wel- been proposed (all by Nominating Friday 20 November comed Dr Brian Stewart as Treasurer Committee) for 2 vacancies in the AGM, London to serve until the forthcoming AGM. membership of the Nominating [pages , 3] Council confirmed its decision that Committee. Professor Angus Macintyre, FRS, be Please note that completed bal- 4–6 December President-Designate with respect to lot papers must be returned by Joint meeting the coming elections in November. Thursday 12 November 2009. with the Belgian However, as a consequence of A separate form for suggesting Mathematical Society, this Council received with regret names to the Nominating Com- Leuven the resignations with immediate mittee for potential candidates for effect of the Vice-President, Profes- the 200 elections is also included. 2010 sor Alice Rogers, and the General Members are also able to make Friday 2 July Secretary, Professor Charles Goldie. direct nominations; details will be London Council will aim to appoint Offic- given in the April and May News- ers to the two posts at its meeting letters next year. on 4 October, to serve until the Annual General Meeting on 20 ANNUAL GENERAL November 2009; further informa- tion will be posted on the Society’s MEETING website (www.lms.ac.uk).
    [Show full text]
  • A Voyage Through Turbulence Edited by Peter A
    Cambridge University Press 978-0-521-19868-4 - A Voyage Through Turbulence Edited by Peter a. Davidson, Yukio Kaneda, Keith Moffatt and Katepalli R. Sreenivasan Frontmatter More information A Voyage Through Turbulence Turbulence is widely recognized as one of the outstanding problems of the physical sciences, but it still remains only partially understood despite having attracted the sustained efforts of many leading scientists for well over a century. In A Voyage Through Turbulence, we are transported through a crucial period of the history of the subject via biographies of twelve of its great personalities, starting with Osborne Reynolds and his pioneering work of the 1880s. This book will provide absorbing reading for every scientist, mathematician and engineer interested in the history and culture of turbulence, as background to the intense challenges that this universal phenomenon still presents. © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-19868-4 - A Voyage Through Turbulence Edited by Peter a. Davidson, Yukio Kaneda, Keith Moffatt and Katepalli R. Sreenivasan Frontmatter More information A Voyage Through Turbulence Edited by PETER A. DAVIDSON University of Cambridge YUKIO KANEDA Nagoya University KEITH MOFFATT University of Cambridge KATEPALLI R. SREENIVASAN New York University © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-19868-4 - A Voyage Through Turbulence Edited by Peter a. Davidson, Yukio Kaneda, Keith Moffatt and Katepalli R. Sreenivasan Frontmatter More information cambridge university press Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, Sao˜ Paulo, Delhi, Tokyo, Mexico City Cambridge University Press The Edinburgh Building, Cambridge CB2 8RU, UK Published in the United States of America by Cambridge University Press, New York www.cambridge.org Information on this title: www.cambridge.org/9780521198684 C Cambridge University Press 2011 This publication is in copyright.
    [Show full text]