Abstract
Fluid mechanics is an area in which modelling is extensively employed to understand and/or to solve various problems of a fundamental or practical nature. In this book it is the aim to lay the mathematical, physical and to some extent the practical foundations for those who are interested in transition and turbulence modelling. In this and the following two chapters the basic equations and ideas behind transition and turbulence modelling in various situations are presented in some detail. These chapters will be based mainly on theoretical considerations, but will refer to both simulations and experiments where appropriate.
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References
Boussinesq, T.V. 1877 Mém. pres Acad. Sci., 3rd edn, Paris Xxiii, p.46.
Couette, M. 1890 ‘Etudes sur le frottement des liquides’. Ann. Chim. Phys. 21, 433–510.
Germano, M. 1986 ‘A proposal for a redefinition of the turbulent stresses in the filtered Navier-Stokes equations’. Phys. Fluids 29, 2323–2324.
Van Ingen, J.L. 1956 ‘A suggested semi-empirical method for the calculation of the boundary layer transition region’. Techn. Univ. Dep. of Aeronautics, Delft, Report V.T.H. 74
Kolmogorov, A.N. 1942 ‘Equations of turbulent motion of an incompressible fluid’. Izvestia Academy of Sciences, Ussr; Physics, 6, 56–58.
Launder, B.E. & Spalding, D.B. 1972 Mathematical models of turbulence, Academic Press.
Navier, M. 1827. ‘Mémoire sur les lois du mouvement des fluides’. Mém. de l’Acad. de Sci. 6, 389–416.
Orr, W. M. F. 1907 ‘The stability or instability of the steady motions of a perfect liquid and of a viscous liquid. Part I: A perfect liquid; Part Ii: A viscous liquid’. Proc. Roy. Irish Acad. 27, 9–68 and 69–138.
Prandtl, L. 1925 ‘Über die ausgebildete Turbulenz’. Zamm 5, 136–139.
Rotta, J 1951 Statistische Theorie nichthomogener Turbulenz I’. Z. für Physik 129, 547–572.
Smith, A.M.O. & Gamberoni, N. 1842 ‘Transition, Pressure Gradient and Stability Theory’. Douglas Aircraft Co. Report Es 26388, El Segundo, Calif.
Sommerfeld, A. 1908 Ein Beitrag zur hydrodynamischen Erklärung der turbulenten Flüssigkeitsbewegungen’. Atti del 4. Congr. Internat. dei Mat. iii, 116–124, Roma.
Stokes, G.G. 1845 ‘On the theories of internal friction of fluids in motion’. Trans. Camb. Phi. Soc. 8, 287–305.
Taylor, G.I. 1921 ‘Diffusion by continous movements’. Proc. Lond. Math. Soc. 20, 196.
Taylor, G.I. 1935 ‘Statistical theory of turbulence’. Parts 1–4. Proc. Roy. Soc. A, 151, 421.
Taylor, G.I. 1938 ‘The spectrum of turbulence’. Parts 1–4. Proc. Roy. Soc. A, 164, 476.
Vreman, B., Geurts, B. & Kuerten, H. 1994 ‘Realizability conditions for the turbulent stress tensor in large-eddy simulation’. J. Fluid Mech. 278, 351–362.
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© 1996 Springer Science+Business Media Dordrecht
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Hallbäck, M., Henningson, D.S., Johansson, A.V., Alfredsson, P.H. (1996). Introduction. In: Hallbäck, M., Henningson, D.S., Johansson, A.V., Alfredsson, P.H. (eds) Turbulence and Transition Modelling. ERCOFTAC Series, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8666-5_1
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DOI: https://doi.org/10.1007/978-94-015-8666-5_1
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