Abstract
Incompressible turbulent mixing layers are investigated by solving governing equations proposed by one of the authors using the method of pseudo-compressibility. The finite difference method with Newton iteration and with the upwind technique is employed in the computation, and a solitary wave solution of turbulent fluctuation correlations are obtained in the physical-plus-eddy space. Reynolds stress and turbulent intensities are calculated through a simple integration over the eddy space of the solitary wave solution. Those predicted quantities that are free from any empirical parameters are compared with existing experiments and satisfactory agreement is observed.
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References
K.R.Sreenivasan and C.Meneveau, “The Fractal Facets of Turbulence,” J.Fluid Mech. vol. 173, pp. 357, 1986.
S.Tsuge,“Separability into coherent and chaotic time dependencies of turbulent fluctuations,” Phys.Fluids, vol. 27; pp.1370–1376; Jun. 1984.
K.Ishibashi. “Solitary Wave Solution of Turbulent Benard Convection:” Ph.D Thesis, Ins. Eng. Mech. Univ. Tsukuba Japan, 1991.
S.Tsuge and S.Ogawa, “Molecular and turbulent transports competing in premixed flames,” Turbulent and Molecular Processes in Combustion (Edited by T. Takeno, Elsevier,1993) pp. 35–50.
S.Tsuge and S.Ogaxva. “Turbulence as a Solitary Wave in Physical-plus-eddy Space,” Trans. Jpn Soc. Aero. Space Sci., to appear.
D.Oster and I. Wygnanski, “The Forced Mixing Layer Between Parallel Streams,” J.Fluid Mech. vol. 123, pp.91–130, 1982.
James H. Bell and Rabindra D. Mehta, “Development of a Two-Stream Mixing Layer from Tripped and Untripped Boundary Layer,” AIAA JOURNAL, vol, 28, pp.2034–2042, 1990.
G.Birkhoff, “Hydrodynamics—A study in logic, fact and similitude,” Pub, Taft Fund, Univ. Cincinnati, 1993 p.116.
Pulliam, T.H. and Chaussee, D.S., “A Diagonal Form of an Implicit Approximate Factorization Algorithm,” Journal of Computational Physics, vol. 39, pp.347–363, 1981
S.Obayashi, “Numerical Simulation of Underexpended Plumes Using Upwind Algorithm,” AIAA Paper, 88-4360-CP, 1988.
Y.Matsuo, C. Arakawa, S.Saito and H.Kobayashi, “Navier-Stocks Computations for Flowfield of an Advanced Turboprop,” AIAA Paper, 88-3094, 1988.
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© 1995 Springer-Verlag
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Bai, B., Tsuge, S., Matsuo, Y. (1995). Solitary wave solution of turbulent mixing layer by the method of pseudo-compressibility. In: Buckmaster, J., Takeno, T. (eds) Modeling in Combustion Science. Lecture Notes in Physics, vol 449. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59224-5_6
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DOI: https://doi.org/10.1007/3-540-59224-5_6
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