Applying Models in Fluid Dynamics

References

• Anderson , J. D. 1997 . A history of aerodynamics and its impact on flying machines , Cambridge : Cambridge University Press . (Repr. ibid. 2001)
   Google Scholar
• Anderson , J. D. 2005 . Ludwig Prandtl’s Boundary Layer . Physics Today , 58 (12) : 42 – 48 .
   Google Scholar
• Blasius , H. 1908 . Grenzschichten in Flüssigkeiten mit kleiner Reibung . Zeitschrift für Mathematik und Physik , 56 (1) : 1 – 37 .
   Google Scholar
• Böhme , G. 1983 . “ Autonomization and finalization: a comparison of fermentation research and fluid mechanics ” . In Finalization in science: The social orientation of scientific progress , Edited by: Schäfer , W. , Böhme , G. , van den Daele , W. Hohlfeld , R. 53 – 91 . Dordrecht : Reidel . (Orig. German ed. 1978)
   Google Scholar
• Busse , F. H. 2004 . Visualizing the dynamics of the onset of turbulence . Science , 305 : 1574 – 75 .
   Google Scholar
• Cartwright , N. 1983 . How the laws of physics lie , Oxford : Clarendon Press .
   Google Scholar
• Cushing , J. T. 1998 . Philosophical concepts in physics: The historical relation between philosophy and scientific theories , Cambridge : Cambridge University Press .
   Google Scholar
• Darrigol , O. 1998 . From organ pipes to atmospheric motions: Helmholtz on fluid mechanics . Historical Studies in the Physical and Biological Sciences , 29 : 1 – 51 .
   Google Scholar
• Darrigol , O. 2002 . Turbulence in 19th‐century hydrodynamics . Historical Studies in the Physical and Biological Sciences , 32 : 207 – 62 .
   Google Scholar
• Darrigol , O. 2005 . Worlds of Flow: a history of hydrodynamics from the Bernoullis to Prandtl , Oxford : Oxford University Press .
   Google Scholar
• Dawson , V. P. 1988 . “ From Braunschweig to Ohio: Ernst Eckert and government heat transfer research ” . In History of heat transfer: Essays in honor of the 50th anniversary of the ASME Heat Transfer Division , Edited by: Layton , E. T. and Lienhard , J. H. 125 – 137 . New York : American Society of Mechanical Engineers .
   Google Scholar
• Eckert , E. R. G. 1949 . Einführung in den Wärme‐ und Stoffaustausch , Berlin : Springer .
   Google Scholar
• Eckert , E. R. G. 1950 . Introduction to the transfer of heat and mass , New York : McGraw‐Hill . (Translation of Eckert 1949)
   Google Scholar
• Eckert , M. 2003 . “ Der Prandtlsche Wasser‐Versuchskanal ” . In Circa 1903. Artefakte in der Gründungszeit des Deutschen Museums (Abhandlungen und Berichte [des Deutschen Museums, München] , Edited by: Hashagen , U. , Blumtritt , O. and Trischler , H. vol. 19 N. F. , 154 – 177 . Munich : Deutsches Museum .
   Google Scholar
• Eckert , M. 2005 . Strategic internationalism and the transfer of technical knowledge: the United States, Germany, and aerodynamics after World War I . Technology and Culture , 46 : 104 – 31 .
   Web of Science ®Google Scholar
• Eckert , M. 2006 . The dawn of fluid dynamics: a discipline between science and technology , New York : Wiley .
   Google Scholar
• Epple , M. 1999 . Die Entstehung der Knotentheorie. Kontexte und Konstruktionen einer modernen mathematischen Theorie , Braunschweig : Vieweg .
   Google Scholar
• Friedman , M. 1974 . Explanation and scientific understanding . Journal of Philosophy , 71 : 5 – 19 .
   Google Scholar
• Gad‐el‐Hak , M. 1998 . Fluid mechanics from the beginning to the third millennium . International Journal of Engineering Education , 14 (3) : 177 – 85 .
   Google Scholar
• Germain , P. 2000 . “ The ‘NEW’ mechanics of fluids of Ludwig Prandtl ” . In Ludwig Prandtl, ein Führer in der Strömungslehre. Biographische Artikel zum Werk Ludwig Prandtls , Edited by: Meier , G. E. A. 31 – 40 . Braunschweig : Vieweg .
   Google Scholar
• Gersten , K. 2000 . “ Ludwig Prandtl und die asymptotische Theorie für Strömungen bei hohen Reynolds‐Zahlen ” . In Ludwig Prandtl, ein Führer in der Strömungslehre. Biographische Artikel zum Werk Ludwig Prandtls , Edited by: Meier , G. E. A. 125 – 138 . Braunschweig : Vieweg .
   Google Scholar
• Giere , R. N. 1990 . Explaining science: A cognitive approach , Chicago : University of Chicago Press .
   Google Scholar
• Goldstein , S. , ed. 1938 . Modern developments in fluid dynamics (The Oxford Engineering Science Series) , 2 vols , Oxford : Oxford University Press . (Repr. ibid. 1957)
   Google Scholar
• Graebel , W. P. 2001 . Engineering fluid mechanics , London : Taylor & Francis .
   Google Scholar
• Großmann , S. , Eckhardt , B. and Lohse , D. 2004 . Hundert Jahre Grenzschichtphysik . Physik Journal , 3 (10) : 31 – 37 .
   Google Scholar
• Hager , W. H. 2003 . Blasius: A life in research and education . Experiments in Fluids , 34 : 566 – 71 .
   Web of Science ®Google Scholar
• Heidelberger , M. 1998 . “ From Helmholtz’s philosophy of science to Hertz’s picture‐theory ” . In Heinrich Hertz: Classical physicist, modern philosopher , Edited by: Baird , D. , Hughes , R. I. G. and Nordmann , A. Dordrecht : Kluwer .
   Google Scholar
• Heidelberger , M. and Steinle , F. , eds. 1998 . Experimental essays—Versuche zum Experiment , Baden‐Baden : Nomos .
   Google Scholar
• Hempel , C. G. 1965 . Aspects of scientific explanation , New York : Free Press .
   Google Scholar
• Hertz , H. 1893 . Electric waves being researches on the propagation of electric action with finite velocity through space , London : Macmillan . (Repr. New York: Dover 1962) (Orig. German ed. 1892)
   Google Scholar
• Hertz , H. 1899 . The principles of mechanics presented in a new form , London : Macmillan . (Mineola, NY: Dover 2003) (Orig. German ed. 1894)
   Google Scholar
• Hof , B. , van Doorne , C. W. H. , Westerweel , J. , Nieuwstadt , F. T. M. , Faisst , H. , Eckhardt , B. , Wedin , H. , Kerswell , R. R. and Waleffe , F. 2004 . Experimental observation of nonlinear traveling waves in turbulent pipe flow . Science , 305 : 1594 – 1598 .
   PubMed Web of Science ®Google Scholar
• Homsy , G. M. , Aref , H. and Breuer , K. S., Hochgreb, S., Koseff, J. R., and Munson, B. R. 2000 . Multi‐Media Fluid Mechanics CD‐ROM , Cambridge : Cambridge University Press . Prandtl’s film is available from www.pro‐physik.de/Phy/pdfs/prandtl.mpg; INTERNET
   Google Scholar
• Hunt , L. 1991 . Secret agenda: The United States Government, Nazi scientists, and Project Paperclip, 1945 to 1990 , New York : St. Martin’s Press .
   Google Scholar
• von Kármán , T. 1921 . Über laminare und turbulente Reibung . Zeitschrift für angewandte Mathematik und Mechanik , 1 : 233 – 52 . (Repr. in: Collected Works of Theodore von Kármán, 4 vols London: Butterworths, 1956, vol. 2, 70–97)
   Google Scholar
• von Kármán , T. 1954 . Aerodynamics: Selected topics in the light of their historical development , Ithaca, NY : Cornell University Press . (Repr.: Dover 2004).
   Google Scholar
• Kitcher , P. 1981 . Explanatory unification . Philosophy of Science , 48 : 507 – 31 .
   Web of Science ®Google Scholar
• Kuhn , T. S. 1970 . The structure of scientific revolutions , 2nd ed. , Chicago : University of Chicago Press .
   Google Scholar
• Machamer , P. , Darden , L. and Craver , C. F. 2000 . Thinking about mechanisms . Philosophy of Science , 67 : 1 – 25 .
   Web of Science ®Google Scholar
• Meier , G. E. A. , ed. 2000 . Ludwig Prandtl, ein Führer in der Strömungslehre. Biographische Artikel zum Werk Ludwig Prandtls , Braunschweig : Vieweg .
   Google Scholar
• Millsaps , K. 1984 . Karl Pohlhausen, as I remember him . Annual Review of Fluid Mechanics , 16 : 1 – 10 .
   Google Scholar
• Morgan , M. S. and Morrison , M. , eds. 1999 . Models as Mediators: Perspectives on Natural and Social Science , Cambridge : Cambridge University Press .
   Google Scholar
• Morrison , M. 1999 . “ Models as autonomous agents ” . In Models as Mediators: Perspectives on Natural and Social Science , Edited by: Morgan , M. S. and Morrison , M. 38 – 65 . Cambridge : Cambridge University Press .
   Google Scholar
• Neményi , P. F. 1962–1966 . The main concepts and ideas of fluid dynamics in their historical development . Archive for History of Exact Sciences , 2 : 52 – 86 .
   Google Scholar
• Nickel , K. 1984 . Mathematische Entwicklungen in der Grenzschichttheorie während der letzten 25 Jahre . Zeitschrift für angewandte Mathematik und Mechanik , 64 (4) : T18 – T33 .
   Google Scholar
• Pohlhausen , K. 1921 . Zur näherungsweisen Integration der Differentialgleichung der laminaren Grenzschicht . Zeitschrift für angewandte Mathematik und Mechanik , 1 : 252 – 268 .
   Google Scholar
• Prandtl , L. 1905 . “ Über Flüssigkeitsbewegungen bei sehr kleiner Reibung ” . In Verhandlungen des III. internationalen Mathematiker‐Kongresses in Heidelberg vom 8. bis 13. August 1904 , Edited by: Krazer , A. 484 – 491 . Leipzig : Teubner . Repr. in: L. Prandtl (1961), vol. 2, 575–84) (Translated as Prandtl 1928)
   Google Scholar
• Prandtl , L. 1927a . The generation of vortices in fluids of small viscosity . Royal Aeronautical Society , 31 : 720 – 43 . and Zeitschrift für Flugtechnik und Motorluftschiffahrt 18: 489–96 (Repr. in: L. Prandtl (1961), vol. 2, 752–77)
   Google Scholar
• Prandtl , L. 1927b . Vorführung eines hydrodynamischen Films . Zeitschrift für angewandte Mathematik und Mechanik , 7 : 436 – 37 . (Repr. in: L. Prandtl (1961), vol. 3, 1545–47)
   Google Scholar
• Prandtl , L. 1928 . Motion of fluids with very little viscosity. Manuscript; National Advisory Committee for Aeronautics (NACA) , Technical Memorandum no. 452 Washington, DC : NACA . Available from http://naca.larc.nasa.gov/digidoc/report/tm/52/NACA‐TM‐452.PDF; INTERNET (translation of Prandtl 1905)
   Google Scholar
• Prandtl , L. 1935 . “ The mechanics of viscous fluids ” . In Aerodynamic theory: A general review of progress , Edited by: Durand , W. F. vol. 3 , 34 – 208 . Berlin : Springer .
   Google Scholar
• Prandtl , L. 1948 . Mein Weg zu hydrodynamischen Theorien . Physikalische Blätter , 4 (3) : 89 – 92 . (Repr. in: L. Prandtl (1961), vol. 3, 1604–8)
   Google Scholar
• Prandtl , L. 1961 . Gesammelte Abhandlungen zur angewandten Mechanik, Hydro‐ und Aerodynamik , Edited by: Tollmien , W. , Schlichting , H. Görtler , H. 3 vols , Berlin : Springer .
   Google Scholar
• Prandtl , L. and Tietjens , O. 1925 . Kinematographische Strömungsbilder . Die Naturwissenschaften , 13 (49/50) : 1050 – 53 . (Repr. in: L. Prandtl (1961), vol. 3, 1531–37)
   Google Scholar
• Redhead , M. 1980 . Models in physics . British Journal for the Philosophy of Science , 31 : 481 – 520 .
   Google Scholar
• Rouse , H. and Ince , S. 1957 . History of hydraulics , New York : Dover .
   Google Scholar
• Salmon , W. C. 1984 . Scientific explanation and the causal structure of the world , Princeton, NJ : Princeton University Press .
   Google Scholar
• Schlichting , H. and Gersten , K. 2000 . Boundary‐layer theory , 8th ed. , Berlin : Springer . (Translation by K. Mayes from the 9th German ed. 1997)
   Google Scholar
• Siekmann , H. 1998 . “ Experiment und Simulation in der Strömungstechnik ” . In Experimental Essays—Versuche zum Experiment , Edited by: Heidelberger , M. and Steinle , F. 209 – 226 . Baden‐Baden : Nomos .
   Google Scholar
• Sismondo , S. 1999 . Models, simulations, and their objects . Science in Context , 12 : 247 – 60 .
   Google Scholar
• Tani , I. 1977 . History of boundary‐layer theory . Annual Review of Fluid Mechanics , 9 : 87 – 111 .
   Google Scholar
• Ting , L. 2000 . Boundary layer theory to matched asymptotics . Zeitschrift für angewandte Mathematik und Mechanik , 80 : 845 – 55 .
   Google Scholar
• Tollmien , C. 1987 . “ Das Kaiser‐Wilhelm‐Institut für Strömungsforschung verbunden mit der Aerodynamischen Versuchsanstalt ” . In Die Universität Göttingen unter dem Nationalsozialismus , Edited by: Becker , H. , Dahms , H.‐J. and Wegeler , C. 464 – 488 . Munich : Saur .
   Google Scholar
• Trischler , H. 1994 . “ Self‐mobilization or resistance? Aeronautical research and national socialism ” . In Science, technology, and national socialism , Edited by: Walker , M. and Renneberg , M. 72 – 87 . Cambridge : Cambridge University Press .
   Google Scholar
• Vincenti , W. G. 1990 . What engineers know and how they know it: Analytical studies from aeronautical history , Baltimore, MD : Johns Hopkins University Press .
   Google Scholar
• Vincenti , W. G. and Bloor , D. 2003 . Boundaries, contingencies and rigor: thoughts on mathematics prompted by a case study in transonic aerodynamics . Social Studies of Science , 33 : 469 – 507 .
   Google Scholar
• Wegener , P. P. 1996 . What makes airplanes fly? History, science, and applications of aerodynamics , 2nd ed. , New York : Springer .
   Google Scholar
• Winsberg , E. 1999 . Sanctioning models: the epistemology of simulation . Science in Context , 12 : 275 – 292 .
   Web of Science ®Google Scholar
• Zierep , J. 2000 . “ Ludwig Prandtl, Leben und Wirken ” . In Ludwig Prandtl, ein Führer in der Strömungslehre. Biographische Artikel zum Werk Ludwig Prandtls , Edited by: Meier , G. E. A. 1 – 16 . Braunschweig : Vieweg .
   Google Scholar