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Bibliography L. Prandtl: Selected Bibliography A. Sommerfeld. Zu L. Prandtls 60. Geburtstag am 4. Februar 1935. ZAMM, 15, 1–2, 1935. W. Tollmien. Zu L. Prandtls 70. Geburtstag. ZAMM, 24, 185–188, 1944. W. Tollmien. Seventy-Fifth Anniversary of Ludwig Prandtl. J. Aeronautical Sci., 17, 121–122, 1950. I. Fl¨ ugge-Lotz, W. Fl¨ ugge. Ludwig Prandtl in the Nineteen-Thirties. Ann. Rev. Fluid Mech., 5, 1–8, 1973. I. Fl¨ ugge-Lotz, W. Fl¨ ugge. Ged¨ achtnisveranstaltung f¨ ur Ludwig Prandtl aus Anlass seines 100. Geburtstags. Braunschweig, 1975. H. G¨ ortler. Ludwig Prandtl - Pers¨ onlichkeit und Wirken. ZFW, 23, 5, 153–162, 1975. H. Schlichting. Ludwig Prandtl und die Aerodynamische Versuchsanstalt (AVA). ZFW, 23, 5, 162–167, 1975. K. Oswatitsch, K. Wieghardt. Ludwig Prandtl and his Kaiser-Wilhelm-Institut. Ann. Rev. Fluid Mech., 19, 1–25, 1987. J. Vogel-Prandtl. Ludwig Prandtl: Ein Lebensbild, Erinnerungen, Dokumente. Uni- versit¨ atsverlag G¨ ottingen, 2005. L. Prandtl. ¨ Uber Fl¨ ussigkeitsbewegung bei sehr kleiner Reibung. Verhandlg. III. Intern. Math. Kongr. Heidelberg, 574–584. Teubner, Leipzig, 1905. Neue Untersuchungen ¨ uber die str¨ omende Bewegung der Gase und D¨ ampfe. Physikalische Zeitschrift, 8, 23, 1907. Der Luftwiderstand von Kugeln. Nachrichten von der Gesellschaft der Wis- senschaften zu G¨ ottingen, Mathematisch-Physikalische Klasse, 177–190, 1914. Tragfl¨ ugeltheorie. Nachrichten von der Gesellschaft der Wissenschaften zu ottingen, Mathematisch-Physikalische Klasse, 451–477, 1918. Experimentelle Pr¨ ufung der Umrechnungsformeln. Ergebnisse der AVA zu ottingen, 1, 50–53, 1921. Ergebnisse der Aerodynamischen Versuchsanstalt zu G¨ ottingen. R. Oldenbourg, unchen, Berlin, 1923. The Generation of Vortices in Fluids of Small Viscosity. Journal of the Royal Aeronautical Society, 31, 720–741, 1927.
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Page 1: Bibliography - Springer978-1-4419-1564-1/1.pdf · P. K. Kundu, I. M. Cohen, H. H. Hu. Fluid Mechanics. Elsevier Academic Press, ... Bibliography 759 H. H. Brunn. Hot Wire Anemometer:

Bibliography

L. Prandtl: Selected Bibliography

A. Sommerfeld. Zu L. Prandtls 60. Geburtstag am 4. Februar 1935. ZAMM, 15,1–2, 1935.

W. Tollmien. Zu L. Prandtls 70. Geburtstag. ZAMM, 24, 185–188, 1944.

W. Tollmien. Seventy-Fifth Anniversary of Ludwig Prandtl. J. Aeronautical Sci.,17, 121–122, 1950.

I. Flugge-Lotz, W. Flugge. Ludwig Prandtl in the Nineteen-Thirties. Ann. Rev.Fluid Mech., 5, 1–8, 1973.

I. Flugge-Lotz, W. Flugge. Gedachtnisveranstaltung fur Ludwig Prandtl aus Anlassseines 100. Geburtstags. Braunschweig, 1975.

H. Gortler. Ludwig Prandtl - Personlichkeit und Wirken. ZFW, 23, 5, 153–162,1975.

H. Schlichting. Ludwig Prandtl und die Aerodynamische Versuchsanstalt (AVA).ZFW, 23, 5, 162–167, 1975.

K. Oswatitsch, K. Wieghardt. Ludwig Prandtl and his Kaiser-Wilhelm-Institut.Ann. Rev. Fluid Mech., 19, 1–25, 1987.

J. Vogel-Prandtl. Ludwig Prandtl: Ein Lebensbild, Erinnerungen, Dokumente. Uni-versitatsverlag Gottingen, 2005.

L. Prandtl. Uber Flussigkeitsbewegung bei sehr kleiner Reibung. Verhandlg. III.Intern. Math. Kongr. Heidelberg, 574–584. Teubner, Leipzig, 1905.

Neue Untersuchungen uber die stromende Bewegung der Gase und Dampfe.Physikalische Zeitschrift, 8, 23, 1907.

Der Luftwiderstand von Kugeln. Nachrichten von der Gesellschaft der Wis-senschaften zu Gottingen, Mathematisch-Physikalische Klasse, 177–190, 1914.

Tragflugeltheorie. Nachrichten von der Gesellschaft der Wissenschaften zuGottingen, Mathematisch-Physikalische Klasse, 451–477, 1918.

Experimentelle Prufung der Umrechnungsformeln. Ergebnisse der AVA zuGottingen, 1, 50–53, 1921.

Ergebnisse der Aerodynamischen Versuchsanstalt zu Gottingen. R. Oldenbourg,Munchen, Berlin, 1923.

The Generation of Vortices in Fluids of Small Viscosity. Journal of the RoyalAeronautical Society, 31, 720–741, 1927.

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754 Bibliography

Vier Abhandlungen zur Hydrodynamik und Aerodynamik. Ergebnisse der AVAzu Gottingen, 3, 1927.

Uber Stromungen, deren Geschwindigkeiten mit der Schallgeschwindigkeit ver-gleichbar sind. Report of the Aeronautical Research Institute, Tokyo ImperialUniversity, 5, 65, 1930.

Uber Tragflugel kleinsten induzierten Widerstandes. ZFM, 24, 305, 1933.

Allgemeine Betrachtungen uber die Stromung zusammendruckbarerFlussigkeiten. ZAMM, 16, 129, 1936.

Theorie des Flugzeugtragflugels im zusammendruckbaren Medium. Luftfahrt-forschung, 13, 313, 1936.

Uber Schallausbreitung bei rasch bewegten Korpern. Schriften der DeutschenAkademie der Luftfahrtforschung, 7, 1938.

Uber Reibungsschichten bei dreidimensionalen Stromungen. MoS RT 64, BetzFestschrift, Gottingen, 1945.

Mein Weg zu hydrodynamischen Theorien. Physikalische Blatter, 4, 89–92,1948.

O. G. Tietjens, L. Prandtl. Applied Hydro- and Aeromechanics. Based on Lecturesof L. Prandtl. McGraw-Hill, New York, 1934.

W. Tollmien, H. Schlichting, H. Gortler, L. Prandtl. Gesammelte Abhandlungenzur angewandten Mechanik, Hydro- und Aerodynamik, 1-3. Springer, Berlin,Gottingen, Heidelberg, 1961.

Selected Book Bibliography

J. Ackeret. Handbuch der Physik, 7. Springer, Berlin, Heidelberg, 1927.

W. Albring. Angewandte Stromungslehre. Steinkopff, Dresden, 1966.

J. D. Anderson jr. Introduction to Flight. McGraw-Hill, New York, 1989.

G. K. Batchelor. An Introduction to Fluid Dynamics. Cambridge University Press,Cambridge, 2005.

E. Becker. Technische Stromungslehre. Teubner, Stuttgart, 1982.

R. Betchov, W. O. Criminale Jr. Stability of Parallel Flows. Academic Press, NewYork, 1967.

E. C. Bingham. Fluidity and Plasticity. McGraw-Hill, New York, 1922.

G. Bohme. Stromungsmechanik nicht Newtonscher Fluide. Teubner, Stuttgart,1981.

T. Cebeci, A. M. O. Smith. Analysis of Turbulent Boundary Layers. AcademicPress, New York, 1975.

T. Cebeci, J. Cousteix. Computation of Boundary-Layer Flows. Springer, Berlin,Heidelberg, New York, 1999.

A. J. Chorin, J. E. Marsden. A Mathematical Introduction to Fluid Mechanics.Springer, New York, 2000.

R. Courant, K. O. Friedrichs. Supersonic Flow and Shock Waves. Springer, Hei-delberg, Berlin, 1976.

Page 3: Bibliography - Springer978-1-4419-1564-1/1.pdf · P. K. Kundu, I. M. Cohen, H. H. Hu. Fluid Mechanics. Elsevier Academic Press, ... Bibliography 759 H. H. Brunn. Hot Wire Anemometer:

Bibliography 755

F. Durst. Grundlagen der Stromungsmechanik. Springer, Berlin, Heidelberg, NewYork, 2006.

M. van Dyke. An Album on Fluid Motion. Parabolic Press, Stanford, 2005.

T. E. Faber. Fluid Dynamics for Physicists. Cambridge University Press, Cam-bridge, 1997.

K. Gersten. Einfuhrung in die Stromungsmechanik. Shaker, Aachen, 2003.

H. Glauert. The Elements of Aerofoil and Airscrew Theory. Cambridge UniversityPress, Cambridge, 1926.

H. Herwig. Stromungsmechanik. Springer, Berlin, Heidelberg, 2006.

J. O. Hinze. Turbulence. McGraw-Hill, New York, 1987.

T. von Karman. Aerodynamik. Interavia, Geneva, 1956.

E. Krause. Stromungslehre. Vieweg+Teubner, Wiesbaden, 2003.

D. Kuchemann. The Aerodynamic Design of Aircraft. Pergamon Press, Oxford,1978.

P. K. Kundu, I. M. Cohen, H. H. Hu. Fluid Mechanics. Elsevier Academic Press,Amsterdam, Heidelberg, 2006.

H. Lamb. Hydrodynamics. Cambridge University Press, Cambridge, 1932.

L. D. Landau, E. M. Lifshitz. Fluid Mechanics. Pergamon Press, London, 1959.

L. D. Landau, E. M. Lifshitz. Hydrodynamik, Lehrbuch der theoretischen Physik.Akademie-Verlag, Berlin, 1974.

H. W. Liepmann, A. Roshko. Elements of Gasdynamics. John Wiley & Sons, NewYork, 1957.

J. Lighthill. Waves in Fluids. Cambridge University Press, Cambridge, 1987.

O. Lilienthal. Der Vogelflug als Grundlage der Fliegekunst. Gaertner, Berlin, 1889.

L. M. Milne-Thomson. Theoretical Hydrodynamics. Macmillan, New York, 1955.

R. von Mises. Mathematical Theory of Compressible Fluid Flow. Academic Press,New York, 1966.

H. Oertel jr., ed. Prandtl - Essentials of Fluid Mechanics. Springer, New York, 3edition, 2009.

H. Oertel jr., ed. Prandtl - Fuhrer durch die Stromungslehre, Chinese Translation.Science Press, Beijing, 2008.

H. Oertel jr., ed. Prandtl - Fuhrer durch die Stromungslehre, Russian Translation.Russian Institute of Dynamics, Izhevsk, 2007.

H. Oertel jr., ed. Prandtl - Fuhrer durch die Stromungslehre. Vieweg+Teubner,Wiesbaden, 12th edition, 2008.

H. Oertel jr. Aerothermodynamik. Springer, Berlin, Heidelberg 1994, Univer-sitatsverlag, Karlsruhe, 2005.

H. Oertel jr., J. Delfs. Stromungsmechanische Instabilitaten. Springer, Berlin,Heidelberg 1996, Universitatsverlag, Karlsruhe, 1996.

H. Oertel jr. Introduction to Fluid Mechanics. Vieweg, Braunschweig, Wiesbaden2001, Universitatsverlag, Karlsruhe, 2005.

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756 Bibliography

H. Oertel jr., M. Bohle, U. Dohrmann. Stromungsmechanik. Vieweg+Teubner,Wiesbaden, 2008.

H. Oertel jr. Biostromungsmechanik. Vieweg+Teubner, Wiesbaden, 2008.

K. Oswatitsch. Grundlagen der Gasdynamik. Springer, Berlin, Heidelberg, NewYork, Wien, 1967.

S. J. Pai. Viscous Flow Theory. Van Nostrand, Princeton, N. J., 1956, 1957.

J. Piquet. Turbulent Flows. Springer, Berlin, Heidelberg, New York, 1999.

R. Robinson, J. A. Laurmann. Wing Theory. Cambridge University Press, Cam-bridge, 1956.

J. C. Rotta. Turbulente Stromungen. Teubner, Stuttgart, 1972.

H. Schlichting, E. Truckenbrodt. Aerodynamics of the Airplane. McGraw-Hill, NewYork, 1979.

H. Schlichting, K. Gersten. Boundary Layer Theory. Springer, Berlin, Heidelberg,New York, 2003.

H. Schlichting, K. Gersten. Grenzschicht-Theorie. Springer, Berlin, Heidelberg,2006.

A. H. Shapiro. The Dynamics and Thermodynamics of Compressible Fluid Flow.Ronald Press, New York, 1953.

S. L. Soo. Fluid Dynamics of Multiphase Systems. Blaisdell Publication, Waltham,Mass., 1967.

J. H. Spurk. Fluid Mechanics. Springer, Berlin, Heidelberg, New York, 2007.

J. H. Spurk. Stromungslehre. Springer, Berlin, Heidelberg, 2007.

M. B. Squire. Modern Development in Fluid Dynamics. Oxford University Press,New York, 1938.

O. Tietjens. Stromungslehre. Springer, Berlin, Heidelberg, 1960.

W. G. Vincenti, C. H. Kruger. Introduction to Physical Gas Dynamics. Hunting-ton, New York, 1967.

F. M. White. Viscous Fluid Flow. McGraw-Hill, New York, 1974.

K. Wieghardt. Theoretische Stromungslehre. Teubner, Stuttgart, 1974.

C. Yih. Fluid Mechanics. McGraw-Hill, New York, 1969.

J. Zierep, K. Buhler. Grundzuge der Stromungslehre. Vieweg+Teubner, Wies-baden, 2008.

Selected Bibiliography

Chapter 5 Fundamental Equations of Fluid Mechanics

D. A. Anderson, J. C. Tannehill, R. H. Pletcher. Computational Fluid Mechanicsand Heat Transfer. McGraw-Hill, New York, 1984.

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Bibliography 757

D. A. Anderson jr. Computational Fluid Dynamics. McGraw-Hill, New York, 1995.

B. S. Baldwin, H. Lomax. Thin Layer Approximation and Algebraic Model forSeparated Turbulent Flows. AIAA Journal, 78–257, 1978.

R. B. Bird, W. E. Stewart, E. N. Lightfoot. Transport Phenomena. John Wiley &Sons, New York, 1960.

J. Boussinesq. Essai sur la theorie des eaux courantes. Memoires presentes pardivers savant a l’Academie des Sciences de l’Institut de France, 23, 1-680, 1872.

C. Crowe, M. Sommerfeld, Y. Tsuji. Multiphase Flows with Droplets and Particles.CRC Press, Boca Raton, Boston, New York, London, 1998.

B. J. Daly, F. H. Harlow. Transport Equations in Turbulence. Physics of Fluids,13, 11, 2634–2649, 1970.

D. A. Drew, G. Wallis. Fundamentals of Two-Phase Flow Modeling. MultiphaseScience and Technology, 8, 1–67, 1994.

D. A. Drew, S. L. Passman. Theory of Multicomponent Fluids. Springer, Berlin,Heidelberg, New York, 1999.

S. E. Elgobashi. On Predicting Particle-Laden Turbulent Flows. Appl. ScientificResearch, 52, 309–329, 1994.

J. H. Ferziger, M. Peric. Computational Methods for Fluid Dynamics. Springer,Berlin, Heidelberg, New York, 1996.

S. Hosokawa, A. Tomiyama. Turbulence Modification in Gas-Liquid and Solid-Liquid Dispersed Two-Phase Pipe. Int. J. Heat and Fluid Flow, 25, 3, 489–498,2004.

W. P. Jones, J. H. Whitelaw. Modelling and Measurement in Turbulent Combus-tion. Proceedings of the Combustion Institute, 20, 233, 1985.

B. E. Launder, D. B. Spalding. Mathematical Models of Turbulence. AcademicPress, London, New York, 1972.

E. Laurien, H. Oertel jr.. Numerische Stromungsmechanik. Vieweg+Teubner,Wiesbaden, 2009.

M. Lesieur. Turbulence in Fluids. Kluwer, Dordrecht, 1997.

H. Lomax, T. H. Pulliam. Fundamentals of Computational Fluid Dynamics.Springer, New York, 2003.

M. Maxey, J. J. Riley. Equation of Motion for a Small Rigid Sphere in a Non-Uniform Flow. Phys. Fluids, 26, 883–889, 1983.

G. L. Mellor, H. J. Herring. A Survey of the Mean Turbulent Closure Models.AIAA Journal, 11, 590–599, 1973.

J. B. Moss. Simultaneous Measurements of Concentration and Velocity in an openPremixed Turbulent Flame. Combustion Science and Technology, 22, 115, 1979.

C. L. M. H. Navier. Memoire sur les lois du mouvement des fluides. Memoires del’Academie des Sciences, 6, 389–416, 1823.

Sir I. Newton. Philosophiae Naturalis Principia Mathematica, II. Innys, London,1726.

H. Oertel jr., M. Bohle, U. Dohrmann. Stromungsmechanik. Vieweg+Teubner,Wiesbaden, 2008.

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758 Bibliography

M. Plesset, S. A. Zwick. The Growth of Vapour Bubbles in Superheated Liquids.J. of Applied Physics, 25, 4, 493–501, 1954.

J. W. S. Rayleigh. The Solution for the Motion of a Bubble under Constant PressureConditions. Phil. Mag., 34, 94, 1917.

A. Roshko. Structure of Turbulent Shear Flows: A New Look. AIAA Journal, 14,1349–1357, 1976.

P. Sagaut. Large Eddy Simulations for Incompressible Flows. An Introduction.Springer, Berlin, Heidelberg, New York, 2001.

C. C. Shir. A Preliminary Numerical Study of Atmospheric Turbulent Flows inthe Idealized Planetry Boundary Layer. J. Atmos. Sci., 30, 1327–1339, 1973.

W. A. Sirignano. Fluid Dynamics and Transport of Droplets and Sprays. Cam-bridge University Press, Cambridge, 1999.

G. Stokes. On the Theories of the Internal Friction of Fluids in Motion. Transactionsof the Cambridge Philosophical Society, 8, 287–305, 1845.

J. Warnatz, U. Maas, R. W. Dibble. Combustion. Springer, Berlin, Heidelberg,New York, 2001.

Chapter 6 Instabilities and Turbulent Flows

P. H. Alfredsson, A. A. Bakchinov, V. V. Kozlov, M. Matsubara. Laminar-Turbulent Transition at a High Level of a Free Stream Turbulence. P. W.Duck, P. Hall, eds., Proceedings IUTAM Symposium on Nonlinear Instabilityand Transition in Three-Dimensional boundary layers, 35, 423–436, Dordrecht,1996. Kluwer.

C. F. Barenghi, R. J. Donnelly, W. F. Vinen. Quantized Vortex Dynamics andSuperfluid Turbulence. Springer, Berlin, Heidelberg, New York, 2001.

G. I. Barenblatt. Scaling Laws for Fully Developed Turbulent Shear Flows. Part 1.Basic Hypothesis and Analysis. J. Fluid Mech., 248, 513–520, 1993.

G. K. Batchelor. Recent Developments in Turbulence Research. H. Levy, eds.,Proceedings of the 7th International Congress for Applied Mechanics, London,1948.

G. K. Batchelor. Computation of the Energy Spectrum in Homogeneous Two-Dimensional Turbulence. Physics of Fluids, 12, II, II–233–II–239, 1969.

G. K. Batchelor, A. A. Townsend. The Nature of Turbulent Motion at Large WaveNumbers. Proceedings of the Royal Society of London, A 199, 238–255. RoyalSociety, London, 1949.

G. Boffetta. Energy and Enstrophy Fluxes in the Double Cascade of Two-Dimensional Turbulence. J. Fluid Mech., 589, 253–260, 2007.

A. V. Boiko, G. R. Grek, A. V. Dovgal, V. V. Kozlov. The Origin of Turbulencein Near-Wall Flows. Springer, Berlin, Heidelberg, 2002.

M. S. Borgas. A Comparison of Intermittent Models in Turbulence. Phys. FluidsA, 4, 2055–2061, 1992.

F. N. M. Brown. A Combined Visual and Hot-Wire Anemometer Investigation ofBoundary-Layer Transition. AIAA Journal, 6, 1, 29–36, 1957.

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H. H. Brunn. Hot Wire Anemometer: Principles and Signal Analysis. OxfordUniversity Press, Oxford, New York, 1995.

G. F. Carnevale, J. C. McWilliams, Y. Pomeau, J. B. Weiss, W. R. Young. Evo-lution of Vortex Statistics in Two-Dimensional Turbulence. Physical ReviewLetters, 66, 2735–2737, 1991.

F. H. Champagne. The Fine-Scale Structure of the Turbulent Velocity Field. J.Fluid Mech., 86, 67–108, 1978.

S. Chandrasekhar. Hydrodynamics and Hydromagnetic Stability. Clarendon Press,Oxford, 1961.

S. Chen, G. D. Doolen. Lattice Boltzmann Method for Fluid Flow. Ann. Rev.Fluid Mech., 23, 539–600, 1991.

A. J. Chorin. Vorticity and Turbulence. Springer, Berlin, Heidelberg, New York,1994.

P. G. Drazin, W. H. Reid. Hydrodynamic Stability. Cambridge University Press,1981.

H. L. Dryden. Recent Advances in the Mechanics of Boundary Layer Flow. Ad-vances in Applied Mechanics, 1, 1–40, 1948.

F. Durst. Principles and Practice of Laser-Doppler Anemometry. Academic Press,1981.

H. W. Emmons. The Laminar-Turbulent Transition in a Boundary Layer - part i.Journal of the Aeronautical Sciences, 18, 490–498, 1951.

R. E. Falco. The Production of Turbulence Near a Wall. AIAA Journal, 80-1356,1980.

G. Falkovich, K. Gawedzki, M. Vertgassola. Particles and Fields in Fluid Turbu-lence. Rev. Mod. Phys., 73, 913–975, 2001.

M. J. Feigenbaum. Quantitative Universality for a Class of Nonlinear Transforma-tions. J. Stat. Phys, 19, 25, 1978.

T. M. Fischer, U. Dallmann. Theoretical Investigation of Secondary Instability ofThree-Dimensional Boundary Layer Flows. DFVLR-FB84, DVFLR, 1987.

U. Frisch. Turbulence: The Legacy of A. N. Kolmogorov. Cambridge Univ. Press,Cambridge, 1995.

U. Frisch, M. Vergassola. A Prediction of the Multifractal Model: The IntermediateDissipation Range. Europhysics Letters, 14, 439–444, 1991.

U. Frisch, P. L. Sulem. Numerical Simulation of the Inverse Cascade in Two-Dimensional Turbulence. Physics of Fluids, 27, 8, 1921–1923, 1984.

Y. Gagne, B. Castaing. Une Representation Universelle sans Invariance Globale

d’Echelle des Spectres d’Energie en Turbulence Developpee. Comptes rendus del’Academie des Sciences Paris, 312, 441, 1991.

M. Gaster. A Note on the Relation Between Temporally-Increasing and Spatially-Increasing Disturbances in Hydrodynamic Stability. J. Fluid Mech., 14, 222–224,1962.

M. Gaster. The Development of Three-Dimensional Wave Packets in a BoundaryLayer. J. Fluid Mech., 32, 173–184, 1968.

H. Gortler. Instabilitat laminarer Grenzchichten an konkaven Wanden gegenubergewissen dreidimensionalen Storungen. ZAMM, 21, 250–252, 1941.

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760 Bibliography

H. L. Grant, R. W. Stewart, A. Moilliet. Turbulence Spectra From a Tidal Channel.J. Fluid Mech., 12, 241–263, 1962.

S. Grossmann. The Onset of Shear Flow Turbulence. Rev. Mod. Phys., 72, 2,603–618, 2000.

A. S. Gurvich, A. M. Yaglom. Breakdown of Eddies and Probability Distributionsfor Small-Scale Turbulence. Physics of Fluids, 10, 59–65, 1967.

T. C. Halsey, M. H. Jensen, L. P. Kadanoff, I. Procaccia, B. Shraiman. FractalMeasures and Their Singularities: The Characterization of Strange Sets. PhysicalReview A, 33, 1141–1151, 1986.

W. Heisenberg. Uber Stabilitat und Turbulenz von Flussigkeitsstromen. Annalender Physik, 74 of 4, 577–627. Barth, Leipzig, 1924.

H. G. E. Hentschel, I. Procaccia. The Infinite Number of Generalized Dimensionsof Fractals and Strange Attractors. Physica D, 8, 435–444, 1983.

T. Herbert. Secondary Instability of Boundary Layers. Ann. Rev. Fluid Mech., 20,487–526, 1988.

T. Herbert, F. P. Bertolotti. Stability Analysis of Nonparallel Boundary Layers.Bull. Amer. Phys. Soc.,, 32, 2079–2806, 1987.

J. O. Hinze. Turbulence. McGraw-Hill, New York, 1987.

T. von Karman. Progress in Statistical Theory of Turbulence. Proceedings ofthe National Academy of Sciences of the United States of America, 34, 530–539.Academy, Washington, DC, 1948.

S. Kida, M. Takaoka. Vortex Reconnection. Ann. Rev. of Fluid Mech., 26, 169–189,2004.

P. S. Klebanoff. Characteristics of Turbulence in a Boundary Layer with ZeroPressure Gradient. Report 1247, NACA, 1955.

P. S. Klebanoff, K. D. Tidstrom, L. M. Sargent. The Three-Dimensional Natureof Boundary Layer Instability. J. Fluid Mech., 12, 1–34, 1962.

B. G. B. Klingmann, A. V. Boiko, K. J. A. Westin, V. V. Kozlov, P. H. Alfredsson.Experiments on the Stability of Tollmien-Schlichting Waves. Eur. J. Mech. B,Fluids, 12, 4, 493–514, 1993.

A. N. Kolmogorov. Die lokale Struktur der Turbulenz in einer inkompressiblenzahen Flussigkeit bei sehr großen Reynolds-Zahlen. Dokl. Akad. Wiss. USSR,30, 301–305, 1941.

A. N. Kolmogorov. A Refinement of Previous Hypothesis Concerning the LocalStructure of Turbulence in a Viscous Incompressible Fluid at High ReynoldsNumbers. J. Fluid Mech., 13, 82–85, 1962.

L. S. G. Kovasznay, H. Komoda, B. R. Vasudeva. Detailed Flow Field in Transition.F. E. Ehlers, J. J. Kauzlarich, C. A. Sleicher Jr., R. E. Street, eds., Proc. of theHeat Transfer and Fluid Mechanics Institute, A 27, 1–26, Stanford, CF, 1962.Stanford University Press.

R. H. Kraichnan. Inertial Ranges in Two-Dimensional Turbulence. Physics ofFluids, 10, 1417–1423, 1967.

S. Kurien, K. R. Sreenivasan. Measures of Anisotropy and the Universal Propertiesof Turbulence. New Trends in Turbulence, 53–111, Les Houches, 2001.

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L. D. Landau, E. M. Lifschitz. Lehrbuch der Theoretischen Physik: Hydrodynamik,6. Akademie Verlag, Berlin, 1991.

E. Laurien, H. Oertel jr.. Numerische Stromungsmechanik. Vieweg+Teubner,Wiesbaden, 2009.

M. Lesieur. La Turbulence Developpee. La Recherche, 139, 1412–1425, 1982.

M. Lesieur. Turbulence in Fluids. Kluwer, Dordrecht, 1997.

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A. Michalke. The Instability of Free Shear Layers - A Survey on the State of theArt. DFVLR-Mitteilungen 70-04, DFVLR, Porz-Wahn, 1970.

P. Moin, K. Mahesh. Direct Numerical Simulation: A Tool in Turbulence Research.Ann. Rev. Fluid Mech., 30, 539–578, 1998.

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M. Nishioka, M. Asai, S. Iida. An Experimental Investigation of the Secondary In-stability. R. Eppler, H. Fasel, eds., Laminar-Turbulent Transition, 37–46, Berlin,Heidelberg, 1990. Springer.

E. A. Novikov. Intermittency and Scale Similarity in the Structure of a TurbulentFlow. J. App. Mathematics and Mechanics, 35, 231–241, 1971.

E. A. Novikov, R. Stewart. Intermittency of Turbulence and Spectrum of Fluctu-ations in Energy-Dissipation. Izvestiya Akademii Nauk SSSR, Seria Geofiz., 3,408, 1964.

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H. Oertel jr., M. Bohle, U. Dohrmann. Stromungsmechanik. Vieweg+Teubner,Wiesbaden, 2008.

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Chapter 7 Convective of Heat and Mass Transfer

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Chapter 8 Multiphase Flows

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M. S. Plesset, R. B. Chapman. Collapse of an Initially Spherical Vapour Cavity inthe Neighbourhood of a Solid Boundary. J. Fluid Mech., 47, 283–290, 1971.

A. Premoli, D. Francesco, A. Prino. An Empirical Correlation for Evaluating Two-Phase Mixture Density under Adiabatic Conditions. European Two-Phase FlowGroup Meeting, Milan, Italy, 1970.

J. Qian, C. R. Law. Regimes of Coalescence and Separation in Droplet Collision.J. Fluid Mech., 331, 59–80, 1997.

B. Richardson. Some Problems in Horizontal Two-Phase Two-Component Flow.Technical Report ANL-5949, Argonne National Laboratory, 1958.

F. Risso, J. Fabre. Oscillations and Break up of a Bubble Immersed in a TurbulentField. J. Fluid Mech., 372, 323–355, 1998.

Y. Sato, K. Sekoguchi. Liquid Velocity Distribution in Two-Phase Bubble Flow.Int. J. Multiphase Flow, 2, 79–95, 1975.

J. Sauer, G. H. Schnerr. Development of a New Cavitation Model Based on BubbleDynamics. ZAMM, 80, 731–732, 2000.

W. Shyy, H. S. Udaykumar, M. M. Rao, R. W. Smith. Computational Fluid Dy-namics with Moving Boundaries. Taylor & Francis, Washington, D.C., London,1996.

W. A. Sirignano. Fluid Dynamics and Transport of Droplets and Sprays. Cam-bridge Univ. Press, Cambridge, 1999.

K. D. Squires, J. K. Eaton. Particle Response and Turbulence Modification inIsotropic Turbulence. Phys. Fluids A, 2, 1191–1203, 1990.

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Chapter 9 Reactive Flows

R. G. Abdel-Gayed, D. Bradley, N. M. Hamid, M. Lawes. Lewis Number Effects onTurbulent Burning Velocity. Proceedings of the Combustion Institute, 20, 505,1984.

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P. Magre, R. W. Dibble. Finite Chemical Kinetic Effects in a Subsonic TurbulentHydrogen Flame. Combustion and Flame, 73, 195, 1988.

P. A. McMurtry, S. Menon, A. R. Kerstein. A Linear Eddy Sub-Grid Model forTurbulent Reacting Flows: Application to Hydrogen-Air Combustion. Proceed-ings of the Combustion Institute, 24, 271, 1992.

U. Metka, M. G. Schweitzer, H.-R.Volpp, J. Wolfrum, J. Warnatz. In-Situ De-tection of NO Chemisorbed on Platinum Using Infrared-Visible Sum-FrequencyGeneration SFG. Zeitschr. f. Phys. Chem., 214, 865–888, 2000.

J. B. Moss. Simultaneous Measurements of Concentration and Velocity in an openPremixed Turbulent Flame. Combustion Science and Technology, 22, 115, 1979.

U. Nowak, J. Warnatz. Sensitivity Analysis in Aliphatic Hydrocarbon Combustion.A. L. Kuhl, J. R. Bowen, J.-C. Leyer, A. Borisov, eds., Dynamics of reactivesystems. American Institute of Aeronautics and Astronautics, New York, 1988.

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V. Sick, A. Arnold, E. Diessel, T. Dreier, W. Ketterle, B. Lange, J. Wolfrum,K. U. Thiele, F. Behrendt, J. Warnatz. Two-Dimensional Laser Diagnosticsand Modelling of Counterflow Diffusion Flames. Proceedings of the CombustionInstitute, 23, 495, 1991.

M. D. Smooke, R. E. Mitchell, D. E. Keyes. Numerical Solution of Two-Dimensional Axisymmetric Laminar Diffusion Flames. Combustion Science andTechnology, 67, 85, 1989.

D. B. Spalding. Mixing and Chemical Reaction in Steady Confined TurbulentFlames. Proceedings of the Combustion Institute, 13, 649, 1970.

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Chapter 10 Flows in the Atmosphere and in the Ocean

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Chapter 11 Microflows

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Index

Λ–structures, 353, 363β–function, 562τ -ε model, 3130-Hertz modes, 362

absolute instability, 351, 353absolute vorticity, 599acceleration losses, 489Ackeret equation, 218Ackeret rule, 218, 253, 255activation energy, 531adiabatic boundary, 418adiabatic compression, 26adiabatic expansion, 26adiabatic stratification, 29aerodynamics, 60, 212aggregation, 698air bubbles, 706airfoil, 215airships, 170algebraic model, 310algebraic turbulence model, 302aliphatic, 540, 544alkane oxidation, 541amplification rate, 358aneroid barometer, 24aneurysm, 731angle of attack, 219angular momentum, 309anharmonic oscillator, 586anisotropic turbulence, 301, 308anisotropy, 314annular flow, 459, 462annular-droplet flow, 460aorta, 691aorta bend, 735aortic valve, 694aortic valve stenosis, 733approximate solution, 244Arrhenius equation, 531Arrhenius parameter, 583, 585

arterial– branching, 737– flow, 735, 742arteriole, 695artery, 695asymptotic stability, 351atmosphere, 9, 27atrium, 692

balance– of energy, 190, 281– of momentum, 91balance equation– for material, 630– for water phases, 630Baldwin-Lomax turbulence model, 302baroclinic instability, 599, 619, 623barometer, 24, 31barometric height formula, 27barotropic flow, 601basic flow, 245, 355bearing lubrication, 150beats, 101Bernoulli constant, 199Bernoulli equation, 59, 62, 63, 168, 199beta parameter, 599bimolecular reactions, 532biofluid mechanics, 12, 685Biot–Savart law, 227bird flight, 213, 685, 707Blasius correlation, 680Blasius law, 158blood– circulation, 685, 686– plasma, 697– vessel, 734blood pulse, 692Boltzmann equation, 284, 642, 650Borda outlet, 94Borghi diagram, 575, 577boundary conditions, 290, 356, 418

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786 Index

boundary layer– approximation, 545– equations, 427– flow, 2, 125, 138, 438, 441– theory, 1, 121– thickness, 122boundary layer thickness, 692boundary-layer, 349, 355, 367boundary-layer equations, 287, 297boundary-layer flow, 352Boussinesq ansatz, 299Boussinesq approximation, 293, 417Boussinesq equation, 287, 293, 337Boyle–Mariotte law, 25, 26Boyle-Mariotte law, 24Brewer–Dobson circulation, 636Brownian motion, 641Brunt–Vaisala frequency, 626bubble cavitation, 503bubbly flow, 459, 460buffeting, 251Bunsen burner, 161, 547Bunsen flame, 547buoyancy, 293Burnett equations, 642

calming track, 238capillaries, 695capillarity, 36capillary forces, 656capillary waves, 101cardiac valves, 731cascade, 95, 96Casson equation, 698catalyst, 553cavitation, 8, 503– number, 503cellular convection, 415, 611centrifugal force, 148, 391, 593Chezy equation, 157channel, 106, 148, 157– flow, 156chemical equilibrium, 584chemical nonequilibrium, 583, 584churn flow, 459circular cylinder, 86, 588– in a flow, 443circular pipe flow, 170circulation, 76, 88circulation model, 748circulatory systems, 685Clauser parameter, 303climate, 632

climate model, 634closed line, 76closure problem, 331, 572cloud cavitation, 503coefficient of expansion, 25coefficient of heat expansion, 293coherence, 401coherent structure, 399Colebrook correlation, 680collision coefficient, 658collision cross section, 652collision number, 532collision partner, 532collision, elastic, 647complex reaction, 540complexity, 401compressibility, 441Concorde, 257conditional expectation value, 573conservation– of angular momentum, 98conservation of energy, 190conservative form, 287conserved scalar, 565constant heat transfer, 433contact angle, 670contact line, 670contact line, moving, 672continuity, 59, 182– equation, 191, 265, 266, 630, 722continuum flow, 581contour change, 250contraction, 64control of turbulence, 346control surface, 92convection, 5, 412, 414– cell, 423– flow, 293– rolls, 421, 422convective fluxes, 288convective heat transfer, 409convective instability, 351, 353convective mass transfer, 409convergence of wall streamlines, 251Coriolis force, 391, 593Coriolis parameter, 595corner expansion, 195corner flow, 135Coulomb forces, 661counter-radiation, 632counterflow, 544– flame, 569, 570counterflow flame, 544

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Index 787

creeping flow, 118, 149critical mass flux, 493, 496critical point, 49critical pressure, 187critical Reynolds number, 123, 347cross model, 699, 722cross term, 316cross-flow instabilities, 349cross-flow instability, 241, 361cross-flow vortex, 367, 370cross-roll instability, 426curves of the aorta, 691cyclone, 618

d’Alembert’s principle, 92Damkohler number, 576damping skin, 706Debye length, 663, 665Debye-Huckel approximation, 663deep-water waves, 627delta wing, 54, 252density, 286density stratification, 391density wave, 493, 494– instability, 511, 512density-averaged enthalpy, 470density-weighted mixture velocity, 468desorption, 590developed turbulence, 378diastole, 694dielectrophoresis, 667diffusion, 414– convection, 410, 444– flame, 555– Rayleigh number, 414diffusion flow density, 330diffusion flux, 330diffusion velocity, 329diffusor, 95, 160dilute gases, 644direct numerical simulation, 556discharge, 63, 64, 69, 87dispersed bubbly flow, 462dispersion, 101– relation, 358displacement thickness, 122dissipation, 305, 307, 310, 440dissipation rate, 570dissipation regime, 315dissociation, 583, 585– degree, 582– enthalpy, 590– reaction, 583

distribution function, 285, 647disturbance level, 375Dobson unit, 635dolphin, 706double diffusion convection, 448double diffusion instability, 445drag, 161, 166, 215– coefficient, 169, 217, 624drift velocity, 458drift-flow model, 468dust devil, 621dynamic model, 317dynamic pressure, 66dynamic viscosity, 114dynamics, 59, 114, 181

Eotvos number, 472Earth’s rotation, 391eddies, 378eddy dissipation model, 574eddy viscosity, 299eddy viscosity coefficient, 380eddy viscosity model, 300eddy-break-up model, 563edge of a jet, 386eigenmode, 376eigenvalue problem, 129, 358Ekman layer, 603Ekman length, 603Ekman number, 391Ekman spiral, 603elastic pipe flow, 740elbow bend, 147electrical impulse, 714electro-osmosis, 663electrophoresis, 666electrophoretic mobility, 667element conservation equations, 331element mass fraction, 331, 548, 565elementary reaction, 527–529elliptical potential equation, 200energy accommodation, 590energy cascade, 307, 382, 395, 398energy equation, 191energy of turbulence, 394energy spectrum, 398, 403energy spectrum of turbulence, 314energy transfer, 586energy-carrying eddy, 314enstrophy, 397, 398enstrophy cascades, 398enstrophy dissipation anomaly, 398enstrophy spectrum, 398

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788 Index

enthalpy, 191, 330entrance length, 680equation of motion, 182, 630, 716equation of state, 25equilibrium, 15, 23, 567– chemistry, 565– line, 568equilibrium constant, 527equipotential surface, 35erythrocytes, 697etching processes, 551etching rate, 552etching reactor, 551Euler equation, 286, 290Euler picture, 47Euler’s turbine equation, 98exchange coefficient, 332exchange reaction, 583excited state, 586exhaust gas cleaning, 550external forces, 16

facility, 237falloff curves, 534far-field boundary, 290Favre average, 274, 566Favre variance, 566fiber filament, 725filtering, 315fine-structure heat flux, 316fine-structure model, 313fine-structure stresses, 316fine-structure turbulence model, 315finger instability, 448, 449first-order reactions, 526fish, 685fixed boundary, 418, 421flame quenching, 570, 580flame structure, 542, 578flame velocity, 543, 578, 580flamelet, 569– concept, 580– model, 577, 578– regime, 576flap of the tail, 703, 704flat plate, 451Flettner rotor, 90Floquet analysis, 363Floquet ansatz, 364flow– forms, 459– in the atmosphere, 593– in the ocean, 593

– models, 462– past wings, 2– past a dihedron, 161– past a plate, 165– past a sphere, 169– past an airfoil, 202, 203– past an automobile, 1, 53– past bodies, 685– past wings, 221, 239– pattern maps, 459– separation, 140, 144flow control, 705flow instrumentation, 640flow past curved objects, 391fluid, 43– coordinate, 44focus, 53force potential, 677force ratio, 655forced convection, 7, 409, 411, 433, 438formaldehyde formation, 541formation of water, 528forward flight, 707forward reaction, 526free boundary, 421, 449free convection, 7, 409, 410, 413, 429free enthalpy, 584free ions, 661free jet, 134, 195, 385free liquid surface, 99, 418free turbulence, 381, 385freezing, 207friction coefficient, 154friction drag, 161, 165friction factor, 679Froude number, 163, 656frozen equilibrium, 499frozen equilibrium model, 501fully developed pipe flow, 159, 433fundamental equations, 417

gap, 87– flow, 153gas, 15, 24, 43, 181– dynamics, 181– wall interaction, 589, 590gases, rarefied, 647Gaster transformation, 359Gaußfunction, 562Gay-Lussac law, 27geophysical fluid dynamics, 593geostrophic flow, 597geostrophic velocity, 597

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Index 789

gliding, 707gliding angle, 215gliding flight, 709global reaction, 527Gouy–Chapman–Stern model, 662gradient approach, 331Grashof number, 349, 413gravity, 60– waves, 101, 613, 626greenhouse effect, 632, 635ground state, 417, 448groundwater flow, 149group velocity, 101, 359Gulf Stream, 6, 10, 626

Hadley circulation, 622Hagen–Poiseuille law, 115, 172Hamaker constant, 677head wave, 203heart, 691heart flow, 712, 715heat– transfer, 657heat conduction, 412heat energy, 190heat exchange, 409, 444heat flux, 289, 429, 590heat shield, 588heat transfer, 6, 293, 410helicopter propeller, 95Helmholtz– vortex laws, 228– wave, 103Helmholtz theorem, 397heterogeneous catalysis, 553high pressure regime, 534high-enthalpy flow, 582high-velocity flow, 582hollow vortex, 88homogeneous equilibrium model, 499homogeneous liquid, 22homogeneous model, 468homogeneous reactor, 576homogeneous turbulence, 311horizontal cylinder, 432horseshoe vortex, 54, 146, 227hovering, 707Hugh–Nagumo equations, 721Hugoniot curve, 192hurricane, 9, 619hydraulically smooth, 137hydraulics, 60hydrocarbon combustion, 542

hydrocarbon emission, 581hydrodynamics, 60, 76, 87hydrostatic state of stress, 19hydrostatics, 21hyperbolic vibration differential

equation, 200hypersonic flow, 581

impact loss, 95induced drag, 221inertial regime, 314inhibition, 527inhomogeneous liquid, 23, 34instabilities, 347instability, 5, 371, 507instantaneous state, 76insufficence, 733intake cross-section, 307intake flow, 159integral length scale, 556interaction equations, 726interaction potential, 649interface, 73, 103, 140interfacial tension, 671intermittence, 304, 561intermittency, 403intermittent flow, 462internal energy, 289, 330, 630internal flow, 685internal forces, 16inviscid liquid, 61, 163inviscid stability, 347irregular eddying motion, 345irrotational, 78, 291isothermal boundary, 418, 421isothermal change of state, 26isothermal wall, 290isotropic, 301, 314isotropic turbulence, 5, 301, 384, 393

jet– expansion, 174– velocity, 569jet flame, 547, 564jet pump, 161jet stream, 622

K-ε turbulence model, 307, 332Karman– constant, 136– vortex street, 142, 163, 164, 620Karman vortex street, 46Karlovitz number, 575Kelvin–Helmholtz instability, 251, 461

Page 37: Bibliography - Springer978-1-4419-1564-1/1.pdf · P. K. Kundu, I. M. Cohen, H. H. Hu. Fluid Mechanics. Elsevier Academic Press, ... Bibliography 759 H. H. Brunn. Hot Wire Anemometer:

790 Index

kinematic fundamental equations, 44kinematic viscosity, 118kinematics, 43kinetic energy, 190Kirchhoff flow past a plate, 163Klebanoff intermittence factor, 304Knudsen number, 581, 642, 644, 650Knudsen number, local, 660Kolmogorov length scale, 383, 403, 556Kolmogorov velocity scale, 383Kolmogorov’s law, 402Kutta–Joukowski– condition, 223– theorem, 95Kutta-Joukowski– theorem, 97

Lagrange integral method, 565Lagrange picture, 47Lamb solution, 169laminar– boundary layer, 119– convection, 426– motion, 123– pipe flow, 157– wing, 243laminar–turbulent transition, 130, 346land–sea wind, 609Laplace equation, 81, 84Laplace pressure jump, 675Large-Eddy Simulation, 313large-scale turbulence, 401Lattice Boltzmann methods, 406Laval nozzle, 187, 189lean combustion engine, 581lee waves, 615lee-side trough, 602length scale, 556Lennard-Jones potential, 649leucocytes, 697level surface, 35Lewis number, 447lift, 22, 54, 88, 90, 215, 224– coefficient, 217– distribution, 224– line, 228lift-off of turbulent flames, 571Lindemann– mechanism, 534– model, 532linear gas-dynamic equation, 200linear stability analysis, 350linear stability theory, 347

liquid, 15, 43, 60– column, 70– friction, 60, 115– heavy, 67– pressure, 18liquid layer, 294local flame quenching, 568local isotropy, 402local perturbations, 371logarithmic wall law, 136logarithmic wind law, 606long waves, 628longitudinal grooves, 705low Reynolds number K-ε model, 307low-pressure region, 533, 618

Mach– angle, 183– cone, 183– number, 183, 199, 205macroscopic, 285Magnus effect, 88, 90majorant frequency scheme, 653manometer, 24Mariotte–Gay-Lussac law, 25Martinelli parameter, 458mass– concentration, 294– conservation, 265– density, 329– exchange, 409, 444, 451– fraction, 458– system, 16– transfer, 410, 657mass transport, 6master equations, 586material properties, 289Maxwell molecules, 649mean energy of fluctuation, 393mean free path, 581, 643mean lifetime, 532mean-field approximation, 554meander, 148methane-air flame, 568, 574method of multiple scales, 355method of sections, 17micro heat exchanger, 655micro-sensor-array, 641microchannel, 639microcirculation, 691, 749microflows, 10microscopic, 285miniaturized actors, 641

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Index 791

miniaturized analysis laboratory, 640minimal surface, 36mitral valve, 693mixing– models, 466– rate, 567mixing length, 378, 389, 394mixing length ansatz, 302mixture– fraction, 548, 564– layer, 561modified mixing length, 303molecularity, 529moment, 215, 286– of momentum, 98momentum– equation, 191– thickness, 122momentum transport, 378momentum vector, 288Monin–Obukhov length, 606Monte Carlo method, 560, 573Moody model, 501Morton number, 472multifractal, 404multiphase flow, 7, 455muscle fiber, 713

nabla operator, 48Navier–Stokes equation, 114, 116, 266,

271, 277, 284, 287, 288, 556, 722Newton’s– drag law, 161– equation, 61– principle, 16Newtonian– fluids, 117– media, 114Nikuradse diagram, 158, 679nitrogen oxide formation, 559no time counter scheme, 653NOx reduction, 550no-slip condition, 114, 290node, 53non-Newtonian– fluids, 117– media, 170nonpremixed flame, 555, 563, 567normal shock wave, 191numerical calculation, 235Nusselt number, 412, 415, 682

oblique shock, 197

oblique–varicose instability, 426ocean, 10orifice, 160orographic vortex, 620Orr–Sommerfeld equation, 128, 360oscillating bodies, 148oscillation, 70– frequency, 532oscillatory– instability, 426– perturbation form, 425outer law, 138over-pressure manometer, 30overall reaction, 527oxidizer, 545ozone hole, 635

paint visualization, 146parallel flow assumption, 126, 356partial density, 294partial equilibrium, 535, 537particle density, 286particle image velocimetry, 401particle path, 45pathlines, 45PDF– simulation, 572– transport equations, 559, 560– turbulence model simulation, 574peak plane, 367peak–valley structure, 367perfect mixing reactor, 576perturbation, 355– development, 350– differential equation, 284, 332, 355– differential equations, 245, 364, 448perturbation amplitude, 350phase, 357– coupled state, 366– fraction, 457– law, 584– velocity, 457phase space, 284physical atmosphere, 32pipe flow, 122, 137, 156, 159, 171Pitot tube, 66, 67, 72plasma reactor, 552plasma-chemical processes, 550plate boundary layer– flow, 165plate boundary-layer, 353plug flow, 459, 460Poiseuille flow, 660, 665

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792 Index

polar diagram, 219, 220polytropic stratification, 29position height, 62potential, 77, 84– energy, 190– flow, 76, 78, 82, 88, 163– temperature, 597– vorticity, 599, 600– – barrier, 637potential equation, 79, 286, 292potential flow, 163Prandtl– analogy, 442– boundary-layer equation, 121– layer, 605– mixing length, 133, 134– rule, 202– stagnation tube, 72– wing theory, 229, 231Prandtl mixing length, 1, 302, 379Prandtl number, 349, 380Prandtl one-equation model, 305Prandtl–Glauert rule, 217, 253–255Prandtl–Meyer expansion, 196pre-exponential factor, 531preliminary design, 235premixed– combustion, 556– flame, 540, 555, 575, 578– flame front, 578– flame methane, 557pressure, 19– dependence, 532– distribution, 255– drag, 161– drag coefficient, 163– force, 60– height, 62– propagation, 181– waves, 183pressure diffusion, 305, 310pressure dilatation, 310, 311pressure-shear correlation, 310primary instability, 362, 377primitive variable, 288principal stresses, 18probability density function, 559, 560production term, 305profile, 215– flow, 216propane-oxygen flame, 542propeller, 95pulmonary valve, 693

quantized vortices, 402quantum or superfluid turbulence, 402quasi-steady state, 535, 536

rate– coefficient, 525, 532– equations, 533– of formation, 530rate law, 525, 529rate of dissipation, 332Rayleigh number, 413, 415Rayleigh–Benard– convection, 410, 415– instability, 410Rayleigh–Plesset equation, 295Rayleigh–Taylor instability, 507re-entry flight, 581re-entry vehicle, 588reaction– flux analysis, 551– force, 93– mechanism, 530– rate, 525, 558reaction order, 525reactive flows, 555receptivity stage, 376recovery temperature, 440rectifier, 237reference length, 287reference velocity, 287relative velocity, 458relaxation time parameter, 502repulsive, 649return to isotropy, 312reverse reaction, 526Reynolds– analogy, 439, 442Reynolds equations, 273, 276, 284, 298Reynolds number, 118, 472Reynolds stress, 378Reynolds stress model, 308Reynolds’– ansatz, 124rheology, 697rigid spheres, 649Rossby number, 391, 596Rossby waves, 600, 626rotating cylinder, 144rotating vessel, 148rotational degree of freedom, 582, 586rough pipes, 158rough plate, 166

saddle point, 53

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Index 793

saddle points, 53scalar dissipation, 569scalar dissipation rate, 566, 569, 571scales of turbulence, 381scattering cross section, 650Schmidt number, 380, 414sea spectrum, 629sea surface, 35second moment closure, 310second-order reactions, 526secondary– flow, 147, 308, 736– instability, 362, 424– perturbations, 353– reaction, 536secondary flow, 748secondary instability, 377sedimentation potential, 661Segner waterwheel, 94sensitivity, 539– analysis, 538, 540, 551– coefficient, 539separate model, 486separation, 251, 252– criterion, 251– point, 121Ser disk, 71shallow-water waves, 628shark scales, 705shear flow, 114– instabilities, 353shear layer, 54, 135shearing stress, 379shock, 193– boundary-layer interaction, 243, 250– drag, 221– wave, 2, 184, 241, 291, 582shooting, 106short waves, 627single-point PDF, 573single-step model, 543sink, 53, 82slat, 145slender profile, 226slip condition, 644, 661slug flow, 460small-scale turbulence, 402solution vector, 287source, 53, 82– term, 329, 567spatial complexity, 373spectral density, 403sphere model, VHS, 649

spiral casing, 68Spiral Flow, 68spray flows, 475spread-out reaction zone, 576Squire transformation, 360stability, 23– analysis, 356, 358, 417– diagram, 129, 130, 348, 421, 449– problem, 124– theory, 126stability analysis, 355stable boundary-layer flow, 128stagnation, 66– point, 66– point flow, 66, 82, 85– pressure, 66start-up vortex, 90state of stress, 16–18static pressure, 66steady flow, 44, 91sticking coefficient, 589stochastic particles, 573Stokes diameter, 667Stokes law, 169Stokes solution, 119, 169stratified cavitation, 503stratified flow, 391, 462stratosphere, 635streaklines, 44streaks, 354stream filament, 46, 62stream function, 85stream tube, 46streaming, 106streamline, 45, 77streamline curvature, 309stress, 17, 19stroke volume, 730structure formation, 401subsonic flow, 201, 223subsonic leading edge, 252subsonic wind tunnel, 237suction, 145sudden transition, 375supercavitation, 503superficial velocity, 457superfluidity, 402supersonic aerodynamics, 252supersonic airplane, 257supersonic flow, 203, 252supersonic free jet, 198supersonic jet, 187supersonic leading edge, 252

Page 41: Bibliography - Springer978-1-4419-1564-1/1.pdf · P. K. Kundu, I. M. Cohen, H. H. Hu. Fluid Mechanics. Elsevier Academic Press, ... Bibliography 759 H. H. Brunn. Hot Wire Anemometer:

794 Index

surface fraction, 456surface reaction, 552, 588surface stress, 36surface waves, 627surge, 103, 104suspension wave, 99Sutherland equation, 289, 334swept wing, 240systemic circulation, 695systole, 694

tangential blowing, 145tangential plane, 595Taylor microscale, 384Taylor number, 349temperature dependence, 531temporal complexity, 373temporal instability, 350temporal stability, 350tensile force, 39thermal cellular convection, 5thermal nonequilibrium, 584, 585thermal wind relation, 598thermal wind systems, 608thermodynamic equilibrium, 642thin film, 670, 674thin film approximation, 676third-order reactions, 526Thomson’s law, 76three-dimensional boundary layer, 239thrombocytes, 697throttle, 188time fraction, 456Tollmien–Schlichting instability, 361Tollmien–Schlichting transition, 369Tollmien–Schlichting wave, 125, 128,

241, 348, 353, 361, 374topology, 48tornado, 617, 621Torricelli’s discharge formula, 64total differential, 47total energy, 288total pressure, 66trade wind, 623trail wave, 203transfer of momentum, 379transition, 124, 346, 354, 370, 373transition model, 304transition process, 376transition region, 681transitional flow, 691translational temperature, 582, 583transonic flow, 206

transport equation, 572transport equation model, 310transport of momentum, 346tricuspid valve, 693tropical cyclone, 619turbine, 95, 98turbulence, 4, 122, 132, 346, 513– Reynolds number, 556, 575turbulence models, 9turbulence spectrum, 314turbulence-generating grid, 392turbulent Damkohler number, 575turbulent diffusion, 305, 310, 380turbulent diffusion correlation, 310turbulent energy, 382turbulent flame, 555turbulent flow in a tube, 388turbulent flows, 4turbulent fluctuations, 378turbulent heat conduction, 380turbulent Karlovitz number, 575turbulent kinetic energy, 305turbulent mixing, 380, 564turbulent mixing process, 564turbulent models, 331turbulent motion, 123turbulent perturbations, 132turbulent pipe flow, 158, 435turbulent Prandtl number, 301, 380turbulent Schmidt number, 380turbulent spots, 126, 132, 354, 375turbulent thermal conductivity, 299turbulent transport, 331turbulent viscosity, 299two-dimensional turbulence, 396two-equation model, 307two-flow problem, 548two-fluid model, 463two-phase flow, 456, 507, 513

U-tube manometer, 29unimolecular reactions, 532, 534universal decay theory, 399unstable boundary layer, 128unstable stratification, 416unsteady Flow, 69

vacuum manometer, 30validation, 235van der Waals forces, 654van Driest damping factor, 303variance, 566vein, 695

Page 42: Bibliography - Springer978-1-4419-1564-1/1.pdf · P. K. Kundu, I. M. Cohen, H. H. Hu. Fluid Mechanics. Elsevier Academic Press, ... Bibliography 759 H. H. Brunn. Hot Wire Anemometer:

Index 795

velocity height, 62velocity of sound, 181, 182, 494velocity potential, 78velocity space, 284velocity vector, 288vena cava, 695ventricle, 692, 728Venturi nozzle, 160verification, 235vertical plate, 411vibrational degree of freedom, 582, 588vibrational excitation, 586viscosity, 15, 114viscous liquids, 114viscous sublayer, 135, 136, 302, 388void, 456volume fraction, 456volume reservoir, 696volumetric flux, 458von Karman analogy, 442von Karman constant, 302vortex, 53, 616– formation, 73, 140– ring, 74– system, 225vortex filament, 224vortex ring, 13vorticity, 599

wafer, 552wake flow, 54, 138, 304

wall temperature, 433wall turbulence, 135wall zone, 302water turbine, 98water waves, 626wave, 99– drag, 162, 221– group, 101, 102– instability, 357– system, 102, 103wavy wall, 202weather prediction, 631Weber number, 509, 656weir crest, 106Weissenberg effect, 172wetting angle, 38wetting, electro, 671wetting, partial, 670wetting, perfect, 671wind spouts, 621wind tunnel, 237wind tunnel turbulence, 392wing, 87, 88, 212, 215, 227, 233– computation, 233– theory, 222wing theory, 1Womersley number, 739

zeta potential, 663, 665zig-zag instability, 426


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