1. Enskog David Enskog. Born 22 April 1884 After completing his secondary schooling,David Enskog entered Uppsala University. He continued to study http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Enskog.html

David Enskog Born: Died: 1 June 1947 in Stockholm, Sweden Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index After completing his secondary schooling, David Enskog entered Uppsala University. He continued to study there for his doctorate after taking his first degree. In 1917 he was awarded his Ph.D. and then he spent several years teaching in secondary schools and colleges. In 1930 Enskog was appointed professor of mathematics and mechanics at the Royal Institute of Technology in Stockholm. Enskog worked on the Maxwell Boltzmann equations. These had first been formulated by Maxwell in 1867 to describe the flow of molecules, momentum and energy of a gas. This was reformulated by Boltzmann in 1872 in terms of a velocity distribution function. Enskog began to work on this equation for his master's degree at Uppsala and made a remarkable prediction. If a mixture of two gases is subjected to a temperature difference, the gas with the larger molecules concentrates at the lower temperature. A simple theory does not predict this behaviour. However Enskog predicted it in a paper written in 1911. In 1917 Chapman independently predicted it, but their theory was questioned until

2. Astrologos Books, NY Item No M25224A598877398, Price $120, Order now! Author enskog david.Title Kinetische Theorie Der Vorgaenge in Maessig Verduennten Gasen. http://www.astrologos.org/H_K/page000169.htm

Astrologos Books 1st Page Previous Page Back to Top Next Page ... Last Page Print-to-order black and white reprints of rare, hard-to-find and out of print books Author: McIntosh Rawle M. Edited by Rawle M. McIntosh Stephen J. Guggenheim Robert W. Schrier. Title: Kidney Disease : Hematologic and Vascular Problems. Description: Item No: M-89734A608103195 Price: Order now! Author: United States Public Health Service. Title: Kidney Disease Program Analysis; a Report to the Surgeon General. Description: Item No: M-75621A598439544 Price: Order now! Author: Lebowitz Naomi. Title: Kierkegaard a Life of Allegory. Description: Item No: M-33634A783786972 Price: Order now! Author: Elrod John W. Title: Kierkegaard and Christendom. Description: Item No: M-98613A835761762 Price: Order now! Author: Croxall Thomas Henry. Title: Kierkegaard Studies. Description: Item No: M-26862A598850368 Price: Order now! Author: Swenson David Ferdinand. Ed. by Lillian M. Swenson. Title: Kierkegaardian Philosophy in the Faith of a Scholar. Description: Item No: M-24613A059888694 Price: Order now!

3. Biography-center - Letter E ac.uk/~history/Mathematicians/Enriques. html. enskog, david. wwwhistory.mcs.st-and.ac.uk/~history/ Mathematicians/enskog.html. Ensor, James http://www.biography-center.com/e.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish E 282 biographies Eadred, www.britannia.com/history/monarchs/mon10.html Eadwig, www.britannia.com/history/monarchs/mon11.html Eagan, Edward www.olympic.org/uk/athletes/heroes/bio_uk.asp?PAR_I_ID=52407 Eagles, www.hotelcal.com Eakins, Thomas www.ibiblio.org/wm/paint/auth/eakins/ Eakins, Thomas www.getty.edu/art/collections/bio/a1729-1.html Eakins, Thomas www.pbs.org/wnet/americanmasters/database/eakins_t.html Eales, Henry www.whonamedit.com/doctor.cfm/1429.html Earl of Aberdeen, www.spartacus.schoolnet.co.uk/PRaberdeen.htm Earl of Derby, www.spartacus.schoolnet.co.uk/PRderby1.htm Early, Jubal Anderson civilwarhome.com/earlybio.htm Earnhardt (Ralph), Dale www.hickoksports.com/biograph/earnhardtd.shtml Easterly, Thomas Martin

4. The Enskog Heritage david enskog, professor of mathematics and mechanics at KTH 19301947, ismost known as one of the originators of the Chapman-enskog method. http://www2.mech.kth.se/~lhs/EnskogH.html

KTH, Department of Mechanics , Stockholm, Sweden THE ENSKOG HERITAGE September 23, 13-17, 1997. David Enskog, professor of mathematics and mechanics at KTH 1930-1947, is most known as one of the originators of the Chapman-Enskog method. Through it, it was possible for the first time to derive the Navier-Stokes equations for a gas from the Boltzmann equation. The viscosity and heat conductivity were derived from the properties of molecular interaction. He is also known for the so-called Enskog equation, pertaining to denser gases. The ideas of Enskog are today continuing to be fruitful. This year 50 years have passed since the death of David Enskog. Program, with preliminary titles of lectures 13.15 Janne Carlsson, president of KTH, opens the meeting. Yoshio Sone, Professor, Kyoto University, "Fluid dynamics in the light of kinetic theory". Inauguration of David Enskog lecture 14.15 Mats Fridlund, civ.ing., KTH, "The fall and rise of David Enskog" 14.50 Refreshments 15.30 Alf Sjölander, Professor, Chalmers, "Liquids and dense gases - from Boltzmann-Chapman-Enskog to the present" 16.15 Mikhail Dzugutov, Dr., KTH, "Enskog's ideas and atomic diffusion in liquids"

5. List Of Publications: Stephen G. Brush American Journal of Physics, 39 848 (1971). enskog, david (b. Västra Ämtervik, Värmland, Sweden, 22 April 1884 of papers by david Hilbert (1912) and david enskog (1917, 1922). http://punsterproductions.com/~sciencehistory/sgbpubs.php

Stephen G. Brush Distinguished University Professor of the History of Science Department of History and University of Maryland College Park, MD 20742 USA Return to Home Page Go to Books in Print Full Text of Selected Articles: Whole Earth History Cautious Revolutionaries Last modified: July 15, 2003 © Stephen G. Brush Publications of Stephen G. Brush To search for a keyword in list, press ctrl-F and enter word. Abbreviations use in this list: EBSCOHost, Elsevier ScienceDirect, IEEE Xplore, JSTOR, Kluwer, OCLC ECO, SpringerLink, and Wiley Interscience are collections of online journals available by subscription HMPP = revision version is included in item #265 KMWCH = revised version is included in item #114 KTG = reprinted in item #300 SPATM = revised version is included in item 181 (Sub) = online journal available only by subscription (XT) = title was not chosen by SGB Water Contamination. (XT) Maine Teachers Digest , 2, no. 9: 21 (May 1951). Effects of human and industrial pollution on chemical composition of the Penobscot River (summary of project for Westinghouse Science Talent Search). Journal of the American Chemical Society http://pubs.acs.org/cgi-bin/archive.cgi/jacsat/1956/78/i07/pdf/ja01588a004.pdf (Sub)

6. History Of Kinetic Theory History of Kinetic Theory. This webpage is a work in progress. There are many important contributions missing. The dates given may be wrong. Names may be incomplete or misspelled. 1917, david enskog Inspired by Hilbert's expansion, enskog proposes an alternative expansion the ``Chapmanenskog'' expansion. 1922, david enskog The enskog equation is introduced http://www.math.umd.edu/~lvrmr/History

History of Kinetic Theory This webpage is a work in progress. There are many important contributions missing. The dates given may be wrong. Names may be incomplete or misspelled. The description of the content of a work may be missing or misrepresent the work. There is much work to be done before anyone should use this page as either a reference, or consider that it accurately reflects its creator's sum knowledge of the subject. I hope that this condition is relatively temporary. I further hope that people will freely offer input about the page. The text in the links has been kindly supplied by Stephen G. Brush. It too is a work in progress. A Chronology of Kinetic Theory Early Theories of Gases 1660, Robert Boyle: 1738, Daniel Bernoulli: The first kinetic theory. 1807, Louis Joseph Gay-Lussac: Heat Dynamics 1807, J.B.J. Fourier: Fourier submits his first manuscript on the dynamics of heat to the Institut de France . It is rejected. 1819, J.B.J. Fourier: Fourier applies his theory to the cooling of the earth. Neglected Pioneers 1820, John Herapath:

7. Transition Regimes For Linear Kinetic Equations By David Levermore Transition Regimes for Linear Kinetic Equations. david Levermore. Department of Mathematics Traditionally moment closures or Chapmanenskog type expansions have been used to derive http://www.ima.umn.edu/reactive/abstract/levermore2.html

Search Contact Information Program Registration Postdoc/Membership Application Program Feedback ... Program Solicitation Talk Abstract: Transition Regimes for Linear Kinetic Equations David Levermore Department of Mathematics University of Arizona This talk presents a framework for deriving well-posed transition regime models. Traditionally moment closures or Chapman-Enskog type expansions have been used to derive such models. Moment closures lead to large first-order systems while expansions yield a single higher order equation that can be ill-posed. Elements of both these traditional approaches are present in the new framework, which yields well-posed systems of moderate size and order that capture the same formal accuracy as both larger moment systems and higher order Chapman-Enskog approximations. Back to Workshop Schedule Back to Reactive Flow and Transport Phenomena Homepage About the IMA ... "Hot Topics" Workshops

8. Enskog Biography of david enskog (18841947) david enskog. Born 22 April 1884 in Västra Ämtervik, Värmland, Sweden After completing his secondary schooling, david enskog entered Uppsala University http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Enskog.html

David Enskog Born: Died: 1 June 1947 in Stockholm, Sweden Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index After completing his secondary schooling, David Enskog entered Uppsala University. He continued to study there for his doctorate after taking his first degree. In 1917 he was awarded his Ph.D. and then he spent several years teaching in secondary schools and colleges. In 1930 Enskog was appointed professor of mathematics and mechanics at the Royal Institute of Technology in Stockholm. Enskog worked on the Maxwell Boltzmann equations. These had first been formulated by Maxwell in 1867 to describe the flow of molecules, momentum and energy of a gas. This was reformulated by Boltzmann in 1872 in terms of a velocity distribution function. Enskog began to work on this equation for his master's degree at Uppsala and made a remarkable prediction. If a mixture of two gases is subjected to a temperature difference, the gas with the larger molecules concentrates at the lower temperature. A simple theory does not predict this behaviour. However Enskog predicted it in a paper written in 1911. In 1917 Chapman independently predicted it, but their theory was questioned until

9. References For Enskog References for david enskog. Biography 1965). Articles H Faxen, david enskog,Svenskt biografiskt lexikon XIII (Stockholm, 1950), 765767. http://www-gap.dcs.st-and.ac.uk/~history/References/Enskog.html

References for David Enskog Biography in Dictionary of Scientific Biography (New York 1970-1990). Books: S G Brush, Kinetic theory (3 vols) (Oxford, 1965). Articles: H Faxen, David Enskog, Svenskt biografiskt lexikon XIII (Stockholm, 1950), 765-767. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR April 1997 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/References/Enskog.html

10. Preface Ehrenfest, Paul (B); Ehrenhaft, F. (A); Einstein, Albert (K); Emden,Robert (A,I,K); enskog, david (H); Eucken, Arnold (G,It); Fermi, Enrico http://www.amphilsoc.org/library/guides/ahqp/survey.htm

3. The Library Survey In March, 1963, the project addressed itself to about 250 European libraries, academies, and archives selected from The World of Learning The response to our request was most gratifying, over 60 per cent of the institutions addressed answering. Of these, 29 indicated holdings of relevant material, notice of which has been included, when appropriate, in Chapter II. The names of the institutions giving positive responses make up the third item in this appendix. The institutions are listed by region and, within each region, alphabetically by city. A given collection, in so far as it has been incorporated in Chapter II, can be reconstructed from the index entries under the name of the institution in question. REGIONS Austria and Switzerland Belgium and The Netherlands Berlin East Germany and Poland France, Italy and Spain Great Britain and Ireland Northern Germany Scandinavia Southern Germany U. S. S. R. Pre-War Germany GENERAL REGISTER KEYED TO INDICATE THE REGIONAL LISTINGS Back, Ernst (I,K) Barkla, C. G. (F)

11. © 1998-2002 Sommerfeld-Projekt. Ausgelesen Am 29. Dezember 2002 Translate this page david enskog an Arnold Sommerfeld, 25. September 1917 Archiv München,DM (Archiv HS 1977-28/A,85) enskog macht detaillierte Ausführungen http://www.lrz-muenchen.de/~Sommerfeld/KurzFass/01309.html

David Enskog an Arnold Sommerfeld, 25. September 1917 Archiv: (Archiv HS 1977-28/A,85) Transkription nicht vorhanden Weitere Informationen Start Biographie Projekt ... Online-Suche

12. © 1998-2002 Sommerfeld-Projekt. Ausgelesen Am 29. Dezember 2002 Translate this page david enskog an Arnold Sommerfeld, 13. November 1917 Archiv München,DM (Archiv HS 1977-28/A,85) enskog bedankt sich für die http://www.lrz-muenchen.de/~Sommerfeld/KurzFass/01310.html

David Enskog an Arnold Sommerfeld, 13. November 1917 Archiv: (Archiv HS 1977-28/A,85) Transkription nicht vorhanden Weitere Informationen Start Biographie Projekt ... Online-Suche

13. References For Enskog References for the biography of david enskog References for david enskog. Biography in Dictionary of Scientific Biography H Faxen, david enskog, Svenskt biografiskt lexikonXIII http://www-history.mcs.st-and.ac.uk/history/References/Enskog.html

References for David Enskog Biography in Dictionary of Scientific Biography (New York 1970-1990). Books: S G Brush, Kinetic theory (3 vols) (Oxford, 1965). Articles: H Faxen, David Enskog, Svenskt biografiskt lexikon XIII (Stockholm, 1950), 765-767. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR April 1997 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/References/Enskog.html

14. Centrums Enskilda Personarkiv Eneström, Gustaf Hjalmar, 18521923, matematisk statistiker, bibliograf. enskog,david. Eriksson, Jacob, 1848-1931, botanist, manuskript och brevsaml. http://www.cfvh.kva.se/CVH023.htm

(För person/ämnessökning rekommenderas användning av det egna Internetsprogrammets/browserns sökfunktion som återfinns under "Edit och Find", åkallas med "ctrl+F" eller liknande.) Ahlmann, Hans W:son, 1822-1896, geograf, glaciolog, polarforskare Almquist, Sigfrid, 1844-1923, botanist, manuskript och brev Aminoff, Gregori, 1883-1942, mineralog, manuskript och brev Andersson, Johan Gunnar, 1874-1960, geolog, polarforskare, arkeolog, "Kina-Gunnar" Andersson, Nils Johan, 1821-1880, botanist, 16 manuskript och brevsaml. Angelin, Nils Peter, 1805-1876, paleontolog, 32 manuskript och brevsaml Areschoug, Johan Erhard, 1811-1887, botanist, 1 manuskript och brevsaml. Arrhenius, Maja Arrhenius, Svante, 1859-1927, fysiker, kemist, 30 manuskript brevsaml. Aurivillius, Christopher, 1853-1928, entomolog, 13 manuskript och brevsaml. Bergius, Bengt Bergius, P. J. Bernoulli, Jean

15. La Ligne Du Temps De La Chimie Translate this page Empédocle. ~ -500. Energie libre. 1876. ENIAC. 1946. enskog, david. 1916.Entropie. 1946. Enzyme. 1833, 1878, 1902, 1926. Enzymes. 1882, 1930, 1955,1970. http://www.umh.ac.be/lignetempschimie/indexalpha.html

Support : La Ligne du Temps de la Chimie A B C D ... Z A Abel, Frederick Abelson Acide Acide carbonique Acide cyanhydrique Acide formique Acide muriatique Acide nitrique Acide sulfurique Acide tartrique Acide urique Acides Acier Acylation ADN AGRICOLA Aimantation Aimants Air Air de vitriol Air fixe Al-Battani Al-Karagi Al-Quarashi Alamogordo Alcools Alder, Kurt Alkylation Allende, Salvador Allumette Alpher, Ralph Altman Aluminium Amides Amines Ammoniac Ammoniaque Amontons, Guillame Amontons, Guillaume Anderson, Carl D. Anderson, Carl David Anhydrides Aniline Antibiotiques Antiparticules Arago Arc-en-ciel Argile Argon Aristote Armstrong, Neil ARN Arrhenius Arrhenius, Svante August Arsenic Asphalte Aspirine Astbury, William Thomas Aston, Francis William Astrolabe Atome Atomes Auger, Pierre Avicenne Avion Avogadro B Bacon, Francis Bacon, Roger Balmer, Johann Baltimore, David Banting Bardeen, John Barnard, Christian Bartlett, Neil Barton, Derek Harold Baryum Base Bases Basov, Nikolai Gennadiyevich Bateau Bathyscaphe Batterie rechargeable Beckman, Arnold Becquerel Becquerel, Antoine Bednorz, Johannes Georg

16. AIP Center For History Of Physics Recent Publications - 1994 Swedish obscurity The fall and rise of david enskog" by Mats Fridlund, 23868; "Reaching out Rubin, Bernard Sadoulet, david Schramm, George Smoot, david Spergel, John Tonry, Edward http://www.aip.org/history/newsletter/fall94/books94.htm

RECENT PUBLICATIONS ON THE HISTORY OF PHYSICS A supplement to the Newsletters of The Center for History of Physics Niels Bohr Library and The Forum for History of Physics, American Physical Society PART 1: BOOKS Compiled by Stephen G. Brush, University of Maryland and the staff of the Niels Bohr Library Table of Contents About this bibliography PHILOSOPHY OF SCIENCE SCIENCE AND SOCIETY SCIENCE AND THE MILITARY; ATOMIC WEAPONS ... MANUSCRIPTS AND ARCHIVES PHILOSOPHY OF SCIENCE Horwich, Paul (ed.) World Changes: Thomas Kuhn and the nature of science. vi + 356 pp., index. Cambridge, MA: MIT Press, 1993. ISBN 0-262-08216-0. $45. Includes "A mathematicians mutiny, with morals" [in the 18th century "mathematics included parts of what we now call "physics" or "astronomy"], by J. L. Heilbron , 81-129; "Science and humanism in the Renaissance: Regiomontanus 's oration on the dignity and utility of the mathematical sciences" by N. M. Swerdlow , 131-68; "Design for experimenting" [in 19th century optics and electricity] by J. Z. Buchwald

17. X. TEORÍA CINÉTICA MODERNA Translate this page Fue en 1917 cuando un sencillo profesor de secundaria sueco, david enskog, aplicóel método de Hilbert en forma muy explícita y pudo calcular, gracias a un http://omega.ilce.edu.mx:3000/sites/ciencia/volumen1/ciencia2/36/htm/sec_13.html

X. TEORÍA CINÉTICA MODERNA HEMOS hecho mención varias veces a que el modelo cinético de un gas ideal, que ha servido para ilustrar las ideas principales manejadas en esta obra, da resultados que para gases di y poliatómicos no concuerdan con el experimento. Además, los coeficientes de transporte calculados a partir de sus premisas sólo concuerdan cualitativamente con éste. ¿Cuál es entonces el estado actual de esta teoría, sobre todo para gases densos y líquidos? ¿Es un campo agotado o es un problema abierto? La respuesta a estas interrogantes y otras similares es, para los que vivimos a finales del siglo xx, un tanto sorprendente. Veamos por qué. D v x D v y D v z D x D y , D z del espacio fase hexadimensional. Dicha ecuación establece simplemente que el número de partículas que entra y sale de este volumen en un cierto intervalo de tiempo, tanto por su movimiento natural como por las colisiones entre ellas debe "balancearse" entre sí. Para calcular la contribución de las moléculas por colisiones, utilizó una hipótesis probabilística muy semejante, en contenido, a la listada bajo la hipótesis cuatro del capítulo III. A dicha hipótesis se le conoce como la hipótesis del "caos molecular". La ecuación tiene, pues, un ingrediente probabilístico que proviene, como en la anterior hipótesis, de nuestra impotencia para poder seguir la dinámica individual de cada molécula en un gas formado por N de ellas.

18. Science Time Line continuously rotate the electric vector of light. 1816 david Brewster discovers stress birefringence 1916 Sydney Chapman and david enskog systematically develop a kinetic theory of http://www.physics.ohio-state.edu/~wilkins/science/sctmln.html

Timelines of Events in Science, Mathematics, and Technology Click a link to go to selected timeline. Or scroll down. Biology and Organic Chemistry Medicine and Medical Technology General Technology Pure and Applied Mathematics ... Artificial Satellites and Space Probes Classical Mechanics -260 Archimedes mathematically works out the principle of the lever and discovers the principle of buoyancy 1490 Leonardo da Vinci describes capillary action 1581 Galileo Galilei notices the timekeeping property of the pendulum 1589 Galileo Galilei uses balls rolling on inclined planes to show that different weights fall with the same acceleration 1658 Christian Huygens experimentally discovers that balls placed anywhere inside an inverted cycloid reach the lowest point of the cycloid in the same time and thereby experimentally shows that the cycloid is the isochrone 1668 John Wallis suggests the law of conservation of momentum 1690 James Bernoulli shows that the cycloid is the solution to the isochrone problem 1691 Johann Bernoulli shows that a chain freely suspended from two points will form a catenary 1691 James Bernoulli shows that the catenary curve has the lowest center of gravity that any chain hung from two fixed points can have 1696 Johann Bernoulli shows that the cycloid is the solution to the brachistochrone problem 1714 Brook Taylor derives the fundamental frequency of a stretched vibrating string in terms of its tension and mass per unit length by solving an ordinary differential equation

19. New Foundations Laid In the 1910s, the Swedish physicist david enskog (18841947) developed a generalsolution of Boltzmann s transport equation, while the British geophysicist http://www.math.umd.edu/~lvrmr/History/Foundations.html

New Foundations Laid by Maxwell and Boltzmann The kinetic theory of Clausius was quickly taken up and developed into a powerful mathematical research instrument by the Scottish physicist James Clerk Maxwell (1831-1879). Maxwell greatly extended the scope of the kinetic theory by showing how it could be used to calculate not only the thermal and mechanical properties of gases in equilibrium, but also their "transport properties": diffusion, viscosity, and heat conduction. In his first paper, published in 1860, he used the Clausius mean-free-path idea to obtain unexpected results for the viscosity of a gas; and he analyzed the collisions of systems of spherical or nonspherical bodies, attempting to find a theoretical model that could account for the observed ratios of specific heats of gases. Maxwell calculated the viscosity of a gas by estimating on the mutual friction of neighbouring layers of gas moving at different speeds. One might expect, on the basis of experience with liquids, that a fluid will have higher viscosity (will flow less freely) at lower temperatures, and that a denser fluid will be more viscous than a rarer fluid, since in both cases the motion will be more strongly obstructed by intermolecular forces. Maxwell showed that if the kinetic theory of gases is correct, both expectations will be wrong, because the mechanism that produces viscosity is different. In a gas, viscous force originates not in the forces between neighboring molecules but in the transfer of momentum that occurs when a molecule from a faster-moving stream wanders over to a slower-moving stream and collides with a molecule there. The rate of momentum transfer increases with the average molecular speed, so (1) the viscosity increases with temperature.

20. AIP Niels Bohr Library Item Information. More by this author. enskog, david, 18841947. Browse Catalog.by author enskog, david, 1884-1947. by title david enskog Collect http://libserv.aip.org:81/ipac20/ipac.jsp?uri=full=3100001~!3003~!0&profile=aipn

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