Journal of Ship and Ocean Technology

The Society of Naval Architects of Korea (대한조선학회)
권호 표지

Numerical Simulation of Edgetone Phenomenon in Flow of a Jet-edge System Using Lattice Boltzmann Model

  • Kang, Ho-Keun (Research and Development Center, Korean Register of Shipping)
  • Published : 2008.03.31
Download PDF
⟨ Previous Next ⟩

Abstract

An edgetone is the discrete tone or narrow-band sound produced by an oscillating free shear layer, impinging on a rigid surface. In this paper, 2-dimensional edgetone to predict the frequency characteristics of the discrete oscillations of a jet-edge feedback cycle is presented using lattice Boltmznan model with 21 bits, which is introduced a flexible specific heat ratio y to simulate diatomic gases like air. The blown jet is given a parabolic inflow profile for the velocity, and the edges consist of wedges with angle 20 degree (for symmetric wedge) and 23 degree (for inclined wedge), respectively. At a stand-off distance w, the edge is inserted along the centerline of the jet, and a sinuous instability wave with real frequency is assumed to be created in the vicinity of the nozzle exit and to propagate towards the downward. Present results presented have shown in capturing small pressure fluctuating resulting from periodic oscillation of the jet around the edge. The pressure fluctuations propagate with the speed of sound. Their interaction with the wedge produces an irrotational feedback field which, near the nozzle exit, is a periodic transverse flow producing the singularities at the nozzle lips. It is found that, as the numerical example, satisfactory simulation results on the edgetone can be obtained for the complex flow-edge interaction mechanism, demonstrating the capability of the lattice Boltzmann model with flexible specific heat ratio to predict flow-induced noises in the ventilating systems of ship.

Keywords

References

  1. Alexander, F.J., S. Chen and D.J. Sterling. 1993. Lattice Boltzmann Thermodynamics. Physical Review E, 47, 2249-2252 https://doi.org/10.1103/PhysRevE.47.R2249
  2. Bamberger, A., E. Bansch and K.G. Siebert. 2004. Experimental and Numerical Investigation of Edge Tones. ZAMM-Journal of Applied Mathematics and Mechanics, 84, 9, 632-646. https://doi.org/10.1002/zamm.200310122
  3. Brown, G.B. 1937. The Vortex Motion Causing Edge Tones. Proceedings of the Physical Society of London, 49, 493-507
  4. Buick, J.M., C.L. Buckley, C.A. Greated and J. Gilbert. 2000. Lattice Boltzmann BGK Simulation of Nonlinear Sound Waves: the Development of a Shock Front. Journal of Physics A, 33, 3917-3928 https://doi.org/10.1088/0305-4470/33/21/305
  5. Chen, Y. and G.D. Doolen. 1998. Lattice Boltzmann Method for Fluid Flows. Annual Review Fluid Mechanics, 30, 329-364 https://doi.org/10.1146/annurev.fluid.30.1.329
  6. Chen, Y., H. Ohashi and M. Akiyama. 1994. Thermal Lattice Bhatnager-Gross-Krook Model without Nonlinear Deviation in Macrodynamic Equations. Physical Review E, 50, 2776-2783 https://doi.org/10.1103/PhysRevE.50.2776
  7. Devillers, J.F. and O. Coutier-Delgosha. 2005. Influence of the Nature of the Gas in the Edge-Tone Phenomenon. Journal of Fluids and Structures, 21, 133-149 https://doi.org/10.1016/j.jfluidstructs.2005.07.003
  8. Dougherty, N.S., B.L. Lin and J.M. O'Farrell. 1994. Numerical Simulation of the Edge Tone Phenomenon, NASA Contractor 4581
  9. Haydock, D. and J. Yeomans. 2001. Lattice Boltzmann Simulations of Acoustic Streaming, Journal of Physics A, 34, 5201-5213
  10. Holger, D.K., T.A. Wilson and G.S. Beavers. 1977. Fluid Mechanics of the Edgetone. Journal of Acoustical Society of America, 62, 5, 1116-1128 https://doi.org/10.1121/1.381645
  11. Howe, M.S. 1998. Acoustics of Fluid Structure Interaction. Cambridge University Press, Cambridge
  12. Inoue, O. and N. Hatakeyama. 2002. Sound Generation by a Two-dimensional Circular Cylinder in a Uniform Flow. Journal of Fluid Mechanics, 471, 285-314
  13. Kang, H.K., S.W. Ahn and J.W. Kim. 2006. Application of the Internal Degree of Freedom to 3D FDLB Model and Simulations of Aero-acoustic. Journal of the Society of Naval Architects of Korea, 43, 5, 586-596 https://doi.org/10.3744/SNAK.2006.43.5.586
  14. Kang, H.K. and M. Tsutahara. 2007. An Application of the Finite Difference-based Lattice Boltzmann Model to Simulating Flow-Induced Noise. International Journal for Numerical Methods in Fluids, 53, 629-650
  15. Lesieur, M. 1993. Turbulence in Fluids. Kluwer Academic Publisher, Dordrecht
  16. Nyborg, W.L. 1954. Self-maintained Oscillations of Jet in a Jet-edge System. I. Journal of the Acoustical Society of America, 26, 2, 174-182 https://doi.org/10.1121/1.1907304
  17. Powell, A. 1961. On the Edge Tone. Journal of Acoustical Society of America, 339, 395-409
  18. Rossiter, J.E. 1962. The Effect of Cavities on the Buffeting of the Aircraft. Royal Aircraft Establishment Thecnical Memorandum 745
  19. Takada, N. and M. Tsutahara. 1999. Proposal of Lattice BGK Model with Internal Degrees of Freedom in Lattice Boltzmann Method. Transaction of JSME Journal B, 65, 629, 92-99 https://doi.org/10.1299/kikaib.65.92
  20. Tsuchida, J., T. Fujisawa and G. Yagawa. 2006. Direct Numerical Simulation of Aerodynamic Sounds by a Compressible CFD Scheme with Node-by-node Finite Elements. Computer Methods in Applied Mechanics and Engineering, 195, 1896-1910. https://doi.org/10.1016/j.cma.2005.05.039
  21. Tsutahara, M. and H. K. Kang. 2002. A Discrete Effect of the Thermal Lattice BGK Model. Journal of Statistical Physics, 107, 1/2, 479-498 https://doi.org/10.1023/A:1014591527900
  22. Wilde, A. 2004. Flow Acoustic Simulations Using the Lattice-Boltzmann Method. International Congress on FEM Technology with ANSYS & ICEM CFD Conference, Germany
  23. Wolfram, S. 1986. Cellular Automaton Fluids 1; Basic Theory. Journal of Statistical Physics, 45, 471-526 https://doi.org/10.1007/BF01021083