Abstract
We present a new version of the two-equation turbulence model, which makes it possible to calculate continuously the entire flow range from laminar to turbulent, including transition, in the case of a time-periodic, high-turbulence-level freestream. The influence of the parameters characterizing the harmonic fluctuations of the external velocity and the freestream turbulence intensity and scale on the parameters of the flat-plate flow are analyzed. A comparison of the numerical solutions with the experimental and theoretical data indicates the possibility of describing the wall flow properties on the basis of a quasi-stationary turbulence model, as the Reynolds number varies from low to high values.
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REFERENCES
M. J. Lighthill, "The response of laminar skin friction and heat transfer to fluctuations in the stream velocity," Proc. Roy. Soc. London, Ser. A, 224, No. 1156, 1 (1954).
H. L. Dryden, "Transition from laminar to turbulent flow," in: C. C. Lin (ed.), Turbulent Flows and Heat Transfer, Princeton Univ. Press, Princeton (1959).
J. S. Addison and H. P. Hodson, "Modeling of unsteady transitional boundary layers," Trans. ASME. J. Turbomach., 114, 580 (1992).
D. P. Telionis, "Review. Unsteady boundary layers, separated and attached," Trans. ASME. J. Fluid Eng., 101, 29 (1979).
J. H. Philips and R. C. Ackerberg, "A numerical method for integrating the unsteady boundary-layer equations when there are regions of backflow," J. Fluid Mech., 58, 561 (1973).
V. A. Aleksin and A. M. Kudryakov, "Unsteady periodic boundary layer with backflow zones," Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 82 (1991).
R. L. Simpson, "A review of some phenomena in turbulent flow separation," Trans. ASME. J. Fluid Eng., 103, 520 (1981).
D. T. Tsahalis, "Turbulent boundary layers with unsteady injection-suction," Trans. ASME. J. Fluid Eng., 102, 364 (1980).
A. M. Savill (ed.), Transition Modeling for Turbomachinery. II. An Updated Summ. ERCOFTAC Trans. SIG Progr. 2nd Workshop, Cambridge Univ. Press, Cambridge (1994).
E. Ya. Epik, "Heat transfer effects in transitions," in: Turbulent Heat Transfer: Engin. Found. Conf., 1996, New York & San Diego (1996), p. 1.
V. A. Aleksin, "Simulation of the effect of the freestream turbulence parameters on the boundary layer of a curvilinear airfoil," Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 5, 79 (1998).
A. S. Ginevskii, V. A. Ioselevich, A. V. Kolesnikov, et al., "Methods of calculating turbulent boundary layers," in: Advances in Science and Engineering, All-Union Institute of Scientific and Technical Information, Fluid Mech. Series, Vol. 11 [in Russian], Moscow (1978), p. 155.
W. P. Jones and B. E. Launder, "The calculation of low-Reynolds-number phenomena with a two-equation model of turbulence," Intern. J. Heat Mass Transfer, 16, 1119 (1973).
K.-Y. Chien, "Predictions of channel and boundary-layer flows with a low-Reynolds-number turbulence model," AIAA J., 20, 33 (1982).
T. Cebeci, "Calculation of unsteady two-dimensional laminar and turbulent boundary layers with fluctuations in external velocity," Proc. Roy. Soc. London, Ser. A, 355, No. 1681, 255 (1977).
S. K. F. Karlsson, "An unsteady turbulent boundary layer," J. Fluid Mech., 5, 622 (1959).
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Aleksin, V.A., Kazeykin, S.N. Modeling the Effect of Freestream Turbulence on Unsteady Boundary Layer Flow. Fluid Dynamics 35, 846–857 (2000). https://doi.org/10.1023/A:1004188524485
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DOI: https://doi.org/10.1023/A:1004188524485