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Exact Solutions

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Essential Analytic Laminar Flow

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Abstract

The Navier–Stokes (N-S) equation, basically nonlinear partial differential equations, has few analytic exact solutions.

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References

  • L.J. Crane, ZAMP 21, 645–647 (1970)

    Google Scholar 

  • V.W. Ekman, Ark. Mat. Astron. Fys. 2, 1–52 (1905)

    Google Scholar 

  • G. Hamel, Jahresher. Dtsch. Mat. Ver. 25, 34–60 (1916)

    Google Scholar 

  • K. Hiemenz, Dinglers Polytech. J. 326, 321–324 (1911)

    Google Scholar 

  • M.J.M. Hill, Phil. Trans. R. Soc. London A 185, 213–245 (1894)

    Google Scholar 

  • G.B. Jeffrey, Phil Mag. Ser. 6, 29, 455–465 (1915)

    Google Scholar 

  • L.I. Kovasznay, Proc. Camb. Phil. Soc. 44, 58–62 (1948)

    Google Scholar 

  • L.D. Landau, Dokl. Akad. Nauk. SSSR 43, 286–288 (1944)

    Google Scholar 

  • L.D. Landau and E.M. Lifshitz, Fluid Mechanics (Pergamon, London, 1959)

    Google Scholar 

  • H.S. Tsien, Quart. Appl. Math. 1, 130–148 (1943)

    Google Scholar 

  • G.I. Taylor, Phil. Mag. Ser. 6 46, 671–674 (1923)

    Google Scholar 

  • T. Von Karman, ZAMM 1, 233–252 (1921)

    Google Scholar 

  • C.Y. Wang, Phys. Fluids 27, 1915–1917 (1984)

    Google Scholar 

  • C.Y. Wang, Appl. Mech. Rev. 42(11 Part 2), S269–S282 (1989)

    Google Scholar 

  • C.Y. Wang, Ann. Rev. Fluid Mech. 23, 159–177 (1991)

    Google Scholar 

  • C.Y. Wang, Europ. J. Mech. B/Fluids 30, 475–479 (2011)

    Google Scholar 

  • C.Y. Wang, Mech. Res. Comm. 83, 65–67 (2017)

    Google Scholar 

  • C.Y. Wang, Europ. J. Mech. B/Fluids 27, 678–683 (2008)

    Google Scholar 

  • G.B. Whitham, in Laminar Boundary Layers, ed. by L. Rosenhead (Clarendon, Oxford, 1963)

    Google Scholar 

  • K.T. Yang, J. Appl. Mech. 25, 421–427 (1958)

    Google Scholar 

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Authors and Affiliations

  1. Michigan State University, East Lansing, MI, USA

    C. Y. Wang

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  1. C. Y. Wang
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Correspondence to C. Y. Wang .

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Wang, C.Y. (2024). Exact Solutions. In: Essential Analytic Laminar Flow. Synthesis Lectures on Engineering, Science, and Technology. Springer, Cham. https://doi.org/10.1007/978-3-031-36449-5_2

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  • DOI: https://doi.org/10.1007/978-3-031-36449-5_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-36448-8

  • Online ISBN: 978-3-031-36449-5

  • eBook Packages: Synthesis Collection of Technology (R0)

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