Topic 2: Gases and the Atmosphere
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Jean-Baptiste Charles Joseph Bélanger (1790-1874), the Backwater Equation and the Bélanger Equation
THE UNIVERSITY OF QUEENSLAND DIVISION OF CIVIL ENGINEERING REPORT CH69/08 JEAN-BAPTISTE CHARLES JOSEPH BÉLANGER (1790-1874), THE BACKWATER EQUATION AND THE BÉLANGER EQUATION AUTHOR: Hubert CHANSON HYDRAULIC MODEL REPORTS This report is published by the Division of Civil Engineering at the University of Queensland. Lists of recently-published titles of this series and of other publications are provided at the end of this report. Requests for copies of any of these documents should be addressed to the Civil Engineering Secretary. The interpretation and opinions expressed herein are solely those of the author(s). Considerable care has been taken to ensure accuracy of the material presented. Nevertheless, responsibility for the use of this material rests with the user. Division of Civil Engineering The University of Queensland Brisbane QLD 4072 AUSTRALIA Telephone: (61 7) 3365 3619 Fax: (61 7) 3365 4599 URL: http://www.eng.uq.edu.au/civil/ First published in 2008 by Division of Civil Engineering The University of Queensland, Brisbane QLD 4072, Australia © Chanson This book is copyright ISBN No. 9781864999211 The University of Queensland, St Lucia QLD JEAN-BAPTISTE CHARLES JOSEPH BÉLANGER (1790-1874), THE BACKWATER EQUATION AND THE BÉLANGER EQUATION by Hubert CHANSON Professor, Division of Civil Engineering, School of Engineering, The University of Queensland, Brisbane QLD 4072, Australia Ph.: (61 7) 3365 3619, Fax: (61 7) 3365 4599, Email: [email protected] Url: http://www.uq.edu.au/~e2hchans/ REPORT No. CH69/08 ISBN 9781864999211 Division of Civil Engineering, The University of Queensland August 2008 Jean-Baptiste BÉLANGER (1790-1874) (Courtesy of the Bibliothèque de l'Ecole Nationale Supérieure des Ponts et Chaussées) Abstract In an open channel, the transition from a high-velocity open channel flow to a fluvial motion is a flow singularity called a hydraulic jump. -
A NONSMOOTH APPROACH for the MODELLING of a MECHANICAL ROTARY DRILLING SYSTEM with FRICTION Samir Adly, Daniel Goeleven
A NONSMOOTH APPROACH FOR THE MODELLING OF A MECHANICAL ROTARY DRILLING SYSTEM WITH FRICTION Samir Adly, Daniel Goeleven To cite this version: Samir Adly, Daniel Goeleven. A NONSMOOTH APPROACH FOR THE MODELLING OF A ME- CHANICAL ROTARY DRILLING SYSTEM WITH FRICTION. Evolution Equations and Control Theory, AIMS, In press, X, 10.3934/xx.xx.xx.xx. hal-02433100 HAL Id: hal-02433100 https://hal.archives-ouvertes.fr/hal-02433100 Submitted on 8 Jan 2020 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Manuscript submitted to doi:10.3934/xx.xx.xx.xx AIMS’ Journals Volume X, Number 0X, XX 200X pp. X–XX A NONSMOOTH APPROACH FOR THE MODELLING OF A MECHANICAL ROTARY DRILLING SYSTEM WITH FRICTION SAMIR ADLY∗ Laboratoire XLIM, Universite´ de Limoges 87060 Limoges, France. DANIEL GOELEVEN Laboratoire PIMENT, Universite´ de La Reunion´ 97400 Saint-Denis, France Dedicated to 70th birthday of Professor Meir Shillor. ABSTRACT. In this paper, we show how the approach of nonsmooth dynamical systems can be used to develop a suitable method for the modelling of a rotary oil drilling system with friction. We study different kinds of frictions and analyse the mathematical properties of the involved dynamical systems. -
Atomic History Project Background: If You Were Asked to Draw the Structure of an Atom, What Would You Draw?
Atomic History Project Background: If you were asked to draw the structure of an atom, what would you draw? Throughout history, scientists have accepted five major different atomic models. Our perception of the atom has changed from the early Greek model because of clues or evidence that have been gathered through scientific experiments. As more evidence was gathered, old models were discarded or improved upon. Your task is to trace the atomic theory through history. Task: 1. You will create a timeline of the history of the atomic model that includes all of the following components: A. Names of 15 of the 21 scientists listed below B. The year of each scientist’s discovery that relates to the structure of the atom C. 1- 2 sentences describing the importance of the discovery that relates to the structure of the atom Scientists for the timeline: *required to be included • Empedocles • John Dalton* • Ernest Schrodinger • Democritus* • J.J. Thomson* • Marie & Pierre Curie • Aristotle • Robert Millikan • James Chadwick* • Evangelista Torricelli • Ernest • Henri Becquerel • Daniel Bernoulli Rutherford* • Albert Einstein • Joseph Priestly • Niels Bohr* • Max Planck • Antoine Lavoisier* • Louis • Michael Faraday • Joseph Louis Proust DeBroglie* Checklist for the timeline: • Timeline is in chronological order (earliest date to most recent date) • Equal space is devoted to each year (as on a number line) • The eight (8) *starred scientists are included with correct dates of their discoveries • An additional seven (7) scientists of your choice (from -
Physics of Gases and Phenomena of Heat Evangelista Torricelli (1608-1647)
Physics of gases and phenomena of heat Evangelista Torricelli (1608-1647) ”...We have made many vessels of glass like those shown as A and B and with tubes two cubits long. These were filled with quicksilver, the open end was closed with the finger, and they were then inverted in a vessel where there was quicksilver C; then we saw that an empty space was formed and that nothing happened in the vessel when this space was formed; the tube between A and D remained always full to the height of a cubit and a quarter and an inch high... Water also in a similar tube, though a much longer one, will rise to about 18 cubits, that is, as much more than quicksilver does as quicksilver is heavier than water, so as to be in equilibrium with the same cause which acts on the one and the other...” Letter to Michelangelo Ricci, June 11, 1644 Evangelista Torricelli (1608-1647) ”We live immersed at the bottom of a sea of elemental air, which by experiment undoubtedly has weight, and so much weight that the densest air in the neighbourhood of the surface of the earth weighs about one four-hundredth part of the weight of water...” Letter to Michelangelo Ricci, June 11, 1644 In July 1647 Valeriano Magni performed experiments on the vacuum in the presence of the King of Poland at the Royal Castle in Warsaw Blaise Pascal (1623-1662) ”I am searching for information which could help decide whether the action attributed to horror vacui really results from it or perhaps is caused by gravity and the pressure of air. -
Leonardo Da Vinci's Contributions to Tribology
© 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ Published as Wear 360-361 (2016) 51-66 http://dx.doi.org/10.1016/j.wear.2016.04.019 Leonardo da Vinci’s studies of friction Ian M. Hutchings University of Cambridge, Department of Engineering, Institute for Manufacturing, 17 Charles Babbage Road, Cambridge CB3 0FS, UK email: [email protected] Abstract Based on a detailed study of Leonardo da Vinci’s notebooks, this review examines the development of his understanding of the laws of friction and their application. His work on friction originated in studies of the rotational resistance of axles and the mechanics of screw threads. He pursued the topic for more than 20 years, incorporating his empirical knowledge of friction into models for several mechanical systems. Diagrams which have been assumed to represent his experimental apparatus are misleading, but his work was undoubtedly based on experimental measurements and probably largely involved lubricated contacts. Although his work had no influence on the development of the subject over the succeeding centuries, Leonardo da Vinci holds a unique position as a pioneer in tribology. Keywords: sliding friction; rolling friction; history of tribology; Leonardo da Vinci 1. Introduction Although the word ‘tribology’ was first coined almost 450 years after the death of Leonardo da Vinci (1452 – 1519), it is clear that Leonardo was fully familiar with the basic tribological concepts of friction, lubrication and wear. He has been widely credited with the first quantitative investigations of friction, and with the definition of the two fundamental ‘laws’ of friction some two hundred years before they were enunciated (in 1699) by Guillaume Amontons, with whose name they are now usually associated. -
Named Units of Measurement
Dr. John Andraos, http://www.careerchem.com/NAMED/Named-Units.pdf 1 NAMED UNITS OF MEASUREMENT © Dr. John Andraos, 2000 - 2013 Department of Chemistry, York University 4700 Keele Street, Toronto, ONTARIO M3J 1P3, CANADA For suggestions, corrections, additional information, and comments please send e-mails to [email protected] http://www.chem.yorku.ca/NAMED/ Atomic mass unit (u, Da) John Dalton 6 September 1766 - 27 July 1844 British, b. Eaglesfield, near Cockermouth, Cumberland, England Dalton (1/12th mass of C12 atom) Dalton's atomic theory Dalton, J., A New System of Chemical Philosophy , R. Bickerstaff: London, 1808 - 1827. Biographical References: Daintith, J.; Mitchell, S.; Tootill, E.; Gjersten, D ., Biographical Encyclopedia of Dr. John Andraos, http://www.careerchem.com/NAMED/Named-Units.pdf 2 Scientists , Institute of Physics Publishing: Bristol, UK, 1994 Farber, Eduard (ed.), Great Chemists , Interscience Publishers: New York, 1961 Maurer, James F. (ed.) Concise Dictionary of Scientific Biography , Charles Scribner's Sons: New York, 1981 Abbott, David (ed.), The Biographical Dictionary of Scientists: Chemists , Peter Bedrick Books: New York, 1983 Partington, J.R., A History of Chemistry , Vol. III, Macmillan and Co., Ltd.: London, 1962, p. 755 Greenaway, F. Endeavour 1966 , 25 , 73 Proc. Roy. Soc. London 1844 , 60 , 528-530 Thackray, A. in Gillispie, Charles Coulston (ed.), Dictionary of Scientific Biography , Charles Scribner & Sons: New York, 1973, Vol. 3, 573 Clarification on symbols used: personal communication on April 26, 2013 from Prof. O. David Sparkman, Pacific Mass Spectrometry Facility, University of the Pacific, Stockton, CA. Capacitance (Farads, F) Michael Faraday 22 September 1791 - 25 August 1867 British, b. -
Introduction to the Principles of Vacuum Physics
1 INTRODUCTION TO THE PRINCIPLES OF VACUUM PHYSICS Niels Marquardt Institute for Accelerator Physics and Synchrotron Radiation, University of Dortmund, 44221 Dortmund, Germany Abstract Vacuum physics is the necessary condition for scientific research and modern high technology. In this introduction to the physics and technology of vacuum the basic concepts of a gas composed of atoms and molecules are presented. These gas particles are contained in a partially empty volume forming the vacuum. The fundamentals of vacuum, molecular density, pressure, velocity distribution, mean free path, particle velocity, conductivity, temperature and gas flow are discussed. 1. INTRODUCTION — DEFINITION, HISTORY AND APPLICATIONS OF VACUUM The word "vacuum" comes from the Latin "vacua", which means "empty". However, there does not exist a totally empty space in nature, there is no "ideal vacuum". Vacuum is only a partially empty space, where some of the air and other gases have been removed from a gas containing volume ("gas" comes from the Greek word "chaos" = infinite, empty space). In other words, vacuum means any volume containing less gas particles, atoms and molecules (a lower particle density and gas pressure), than there are in the surrounding outside atmosphere. Accordingly, vacuum is the gaseous environment at pressures below atmosphere. Since the times of the famous Greek philosophers, Demokritos (460-370 B.C.) and his teacher Leukippos (5th century B.C.), one is discussing the concept of vacuum and is speculating whether there might exist an absolutely empty space, in contrast to the matter of countless numbers of indivisible atoms forming the universe. It was Aristotle (384-322 B.C.), who claimed that nature is afraid of total emptiness and that there is an insurmountable "horror vacui". -
On the Shoulders of Giants: the Progress of Science in the Seventeenth Century
Syracuse University SURFACE The Courier Libraries Fall 1984 On the Shoulders of Giants: The Progress of Science in the Seventeenth Century Erich M. Harth Syracuse University, [email protected] Follow this and additional works at: https://surface.syr.edu/libassoc Part of the History of Science, Technology, and Medicine Commons Recommended Citation Harth, Erich M. "On the Shoulders of Giants: The Progress of Science in the Seventeenth Century." The Courier 19.2 (1984): 81-90. This Article is brought to you for free and open access by the Libraries at SURFACE. It has been accepted for inclusion in The Courier by an authorized administrator of SURFACE. For more information, please contact [email protected]. SYRACUSE UNIVERSITY LIBRARY ASSOCIATES COURIER VOLUME XIX, NUMBER 2, FALL 1984 SYRACUSE UNIVERSITY LIBRARY ASSOCIATES COURIER VOLUME XIX NUMBER TWO FALL 1984 Mestrovic Comes to Syracuse by William P. Tolley, Chancellor Emeritus, 3 Syracuse University Ivan Mestrovic by Laurence E. Schmeckebier (1906,1984), formerly 7 Dean of the School of Fine Arts, Syracuse University Ivan Mestrovic: The Current State of Criticism by Dean A. Porter, Director of the Snite Museum of Art, 17 University of Notre Dame The Development of the Eastern Africa Collection at Syracuse University by Robert G. Gregory, Professor of History, 29 Syracuse University Dryden's Virgil: Some Special Aspects of the First Folio Edition by Arthur W. Hoffman, Professor of English, 61 Syracuse University On the Shoulders of Giants: The Progress of Science in the Seventeenth Century by Erich M. Harth, Professor of Physics, 81 Syracuse University Catalogue of Seventeenth~CenturyBooks in Science Held by the George Arents Research Library by Eileen Snyder, Physics and Geology Librarian, 91 Syracuse University A Reminiscence of Stephen Crane by Paul Sorrentino, Assistant Professor of English, 111 Virginia Polytechnic Institute and State University News of the Syracuse University Libraries and the Library Associates 115 On the Shoulders of Giants: The Progress of Science in the Seventeenth Century BY ERICH M. -
Student's Learning Activities
Student’s Learning Activities (Guericke and vacuum) Activity 1 You will watch a video with narration or listen to a story from your teacher about Otto von Guericke and his experiments in order to demonstrate the existence of vacuum. Please write the most important points of the story according to your view and discuss them in your group. (Indicative important points of the narration: Otto’s repeated experiments for the existence of vacuum, the prevailing scientific views of that time on the motion of Sun and Earth, Otto’s questioning about the views of the Aristotle for the vacuum, Otto’s behaviour which brings out his personality as scientist,….) ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………..………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… …………………………………………………… Activity 2 Based on the -
Assessing the Evolution of the Airborne Generation of Thermal Lift in Aerostats 1783 to 1883
Journal of Aviation/Aerospace Education & Research Volume 13 Number 1 JAAER Fall 2003 Article 1 Fall 2003 Assessing the Evolution of the Airborne Generation of Thermal Lift in Aerostats 1783 to 1883 Thomas Forenz Follow this and additional works at: https://commons.erau.edu/jaaer Scholarly Commons Citation Forenz, T. (2003). Assessing the Evolution of the Airborne Generation of Thermal Lift in Aerostats 1783 to 1883. Journal of Aviation/Aerospace Education & Research, 13(1). https://doi.org/10.15394/ jaaer.2003.1559 This Article is brought to you for free and open access by the Journals at Scholarly Commons. It has been accepted for inclusion in Journal of Aviation/Aerospace Education & Research by an authorized administrator of Scholarly Commons. For more information, please contact [email protected]. Forenz: Assessing the Evolution of the Airborne Generation of Thermal Lif Thermal Lift ASSESSING THE EVOLUTION OF THE AIRBORNE GENERATION OF THERMAL LIFT IN AEROSTATS 1783 TO 1883 Thomas Forenz ABSTRACT Lift has been generated thermally in aerostats for 219 years making this the most enduring form of lift generation in lighter-than-air aviation. In the United States over 3000 thermally lifted aerostats, commonly referred to as hot air balloons, were built and flown by an estimated 12,000 licensed balloon pilots in the last decade. The evolution of controlling fire in hot air balloons during the first century of ballooning is the subject of this article. The purpose of this assessment is to separate the development of thermally lifted aerostats from the general history of aerostatics which includes all gas balloons such as hydrogen and helium lifted balloons as well as thermally lifted balloons. -
Rudi Mathematici
Rudi Mathematici Y2K Rudi Mathematici Gennaio 2000 52 1 S (1803) Guglielmo LIBRI Carucci dalla Somaja Olimpiadi Matematiche (1878) Agner Krarup ERLANG (1894) Satyendranath BOSE P1 (1912) Boris GNEDENKO 2 D (1822) Rudolf Julius Emmanuel CLAUSIUS Due matematici "A" e "B" si sono inventati una (1905) Lev Genrichovich SHNIRELMAN versione particolarmente complessa del "testa o (1938) Anatoly SAMOILENKO croce": viene scritta alla lavagna una matrice 1 3 L (1917) Yuri Alexeievich MITROPOLSHY quadrata con elementi interi casuali; il gioco (1643) Isaac NEWTON consiste poi nel calcolare il determinante: 4 M (1838) Marie Ennemond Camille JORDAN 5 M Se il determinante e` pari, vince "A". (1871) Federigo ENRIQUES (1871) Gino FANO Se il determinante e` dispari, vince "B". (1807) Jozeph Mitza PETZVAL 6 G (1841) Rudolf STURM La probabilita` che un numero sia pari e` 0.5, (1871) Felix Edouard Justin Emile BOREL 7 V ma... Quali sono le probabilita` di vittoria di "A"? (1907) Raymond Edward Alan Christopher PALEY (1888) Richard COURANT P2 8 S (1924) Paul Moritz COHN (1942) Stephen William HAWKING Dimostrare che qualsiasi numero primo (con (1864) Vladimir Adreievich STELKOV l'eccezione di 2 e 5) ha un'infinita` di multipli 9 D nella forma 11....1 2 10 L (1875) Issai SCHUR (1905) Ruth MOUFANG "Die Energie der Welt ist konstant. Die Entroopie 11 M (1545) Guidobaldo DEL MONTE der Welt strebt einem Maximum zu" (1707) Vincenzo RICCATI (1734) Achille Pierre Dionis DU SEJOUR Rudolph CLAUSIUS 12 M (1906) Kurt August HIRSCH " I know not what I appear to the world, -
1 Classical Theory and Atomistics
1 1 Classical Theory and Atomistics Many research workers have pursued the friction law. Behind the fruitful achievements, we found enormous amounts of efforts by workers in every kind of research field. Friction research has crossed more than 500 years from its beginning to establish the law of friction, and the long story of the scientific historyoffrictionresearchisintroducedhere. 1.1 Law of Friction Coulomb’s friction law1 was established at the end of the eighteenth century [1]. Before that, from the end of the seventeenth century to the middle of the eigh- teenth century, the basis or groundwork for research had already been done by Guillaume Amontons2 [2]. The very first results in the science of friction were found in the notes and experimental sketches of Leonardo da Vinci.3 In his exper- imental notes in 1508 [3], da Vinci evaluated the effects of surface roughness on the friction force for stone and wood, and, for the first time, presented the concept of a coefficient of friction. Coulomb’s friction law is simple and sensible, and we can readily obtain it through modern experimentation. This law is easily verified with current exper- imental techniques, but during the Renaissance era in Italy, it was not easy to carry out experiments with sufficient accuracy to clearly demonstrate the uni- versality of the friction law. For that reason, 300 years of history passed after the beginning of the Italian Renaissance in the fifteenth century before the friction law was established as Coulomb’s law. The progress of industrialization in England between 1750 and 1850, which was later called the Industrial Revolution, brought about a major change in the production activities of human beings in Western society and later on a global scale.