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  3. Fluid Mechanics
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    • Publisher:
      Cambridge University Press
      Publication date:
      05 June 2012
      14 April 2011
      ISBN:
      9780511794353
      DOI:
      https://doi.org/10.1017/CBO9780511794353
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      • Subjects:
      Mathematics, Physics and Astronomy, Fluid Dynamics and Solid Mechanics, Nonlinear Science and Fluid Dynamics
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    Subjects:
    Mathematics, Physics and Astronomy, Fluid Dynamics and Solid Mechanics, Nonlinear Science and Fluid Dynamics
    Information

    Book description

    The multidisciplinary field of fluid mechanics is one of the most actively developing fields of physics, mathematics and engineering. In this book, the fundamental ideas of fluid mechanics are presented from a physics perspective. Using examples taken from everyday life, from hydraulic jumps in a kitchen sink to Kelvin–Helmholtz instabilities in clouds, the book provides readers with a better understanding of the world around them. It teaches the art of fluid-mechanical estimates and shows how the ideas and methods developed to study the mechanics of fluids are used to analyze other systems with many degrees of freedom in statistical physics and field theory. Aimed at undergraduate and graduate students, the book assumes no prior knowledge of the subject and only a basic understanding of vector calculus and analysis. It contains 32 exercises of varying difficulties, from simple estimates to elaborate calculations, with detailed solutions to help readers understand fluid mechanics.

    Reviews

    "This reviewer highly commends Falklovich for presenting a difficult topic compactly with clarity..Highly recommended." - CHOICE

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    Contents

    Contents
    References
    References
    References
    [1] Ablowitz, M. and Segur, H. 2006. Solitons and the Inverse Scattering Transform (Philadelphia: Society for Industrial and Applied Mathematics).
    [2] Acheson, D. J. 1990. Elementary Fluid Dynamics (Oxford: Clarendon Press).
    [3] Anderson, B. D. 2008. The physics of sailing, Physics Today, February, 38–43.
    [4] Arnold, V. 1978. Mathematical Methods of Classical Mechanics (New York: Springer).
    [5] Batchelor, G. K. 1967. An Introduction to Fluid Dynamics (Cambridge: Cambridge University Press).
    [6] Cardy, J., Falkovich, G. and Gawedzki, K. 2008. Non-Equilibrium Statistical Mechanics and Turbulence (Cambridge: Cambridge University Press).
    [7] Chandrasekhar, S. 1961. Hydrodynamic and Hydromagnetic Stability (New York: Dover).
    [8] Childress, S. 1981. Mechanics of Swimming and Flying (Cambridge: Cambridge University Press).
    [9] Faber, T. E. 1995. Fluid Dynamics for Physicists (Cambridge: Cambridge University Press).
    [10] Falkovich, G., Gawȩdzki, K. and Vergassola, M. 2001. Particles and fields in fluid turbulence, Rev. Mod. Phys., 73, 913–975.
    [11] Frisch, U. 1995. Turbulence: The Legacy of A. N. Kolmogorov (Cambridge: Cambridge University Press).
    [12] Homsy, G. M., Aref, H., Breuer, K. S.et al. 2007. Multimedia Fluid Mechanics (Cambridge: Cambridge University Press).
    [13] Jeffreys, H. and Swirles, B. 1966. Methods of Mathematical Physics (Cambridge: Cambridge University Press).
    [14] Landau, L. and Lifshitz, E. 1987. Fluid Mechanics (Oxford: Pergamon Press).
    [15] Lighthill, J. 1978. Waves in Fluids (Cambridge: Cambridge University Press).
    [16] Lighthill, J. 1986. Informal Introduction to Fluid Mechanics (Cambridge: Cambridge University Press).
    [17] Lipson, H. S. 1968. Great Experiments in Physics (Edinburgh: Oliver and Boyd).
    [18] Milne-Thomson, L. M. 1960. Theoretical Hydrodynamics (London: MacMillan).
    [19] Oertel, H. ed. 2000. Prandtl's Essentials of Fluid Mechanics (New York: Springer).
    [20] Ott, E. 1992. Chaos in Dynamical Systems (Cambridge: Cambridge University Press).
    [21] Peierls, R. 1979. Surprises in Theoretical Physics (New York: Princeton University Press).
    [22] Peierls, R. 1987. More Surprises in Theoretical Physics (New York: Princeton University Press).
    [23] Purcell, E. M. 1977. Life at low Reynolds number, Am. J. Phys., 45, 3–11.
    [24] Steinberg, V. 2008. Turbulence: Elastic, Scholarpedia 3(8), 5476, http://www.scholarp edia.org/article/Turbulence:_elastic.
    [25] Tritton, D. J. 1988. Physical Fluid Dynamics (Oxford: Oxford University Press).
    [26] Tropea, C., Yarin, A. and Foss, J. eds 2007. Springer Handbook of Experimental Fluid Mechanics (Berlin: Springer).
    [27] Van Dyke, M. 1982. Album of Fluid Motion (Stanford: Parabolic Press).
    [28] Vekstein, G. E. 1992. Physics of Continuous Media: A Collection of Problems with Solutions for Physics Students (Bristol: Adam Hilger).
    [29] Vogel, S. 1981. Life in Moving Fluids (Princeton, NJ: Princeton University Press).
    [30] Wilczek, F. and Shapere, A. 1989. Geometry of self-propulsion at low Reynolds number, J. Fluid Mech., 198, 557–585.
    [31] Zakharov, V., Lvov, V. and Falkovich, G. 1992. Kolmogorov Spectra of Turbulence (Berlin: Springer).

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