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Articles

Mode-matching analysis for two-dimensional acoustic wave propagation in a trifurcated lined duct

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References

  • Ayub, M., Tiwana, M. H., Mann, A. B., & Zaman, H. (2011). Acoustic wave propagation in a trifurcated lined waveguide. International Scholarly Research Notices Applied Mathematics, 532682, 2011, 19-pgs.
  • Ayub, M., Tiwana, M. H., & Mann, A. B. (2010). Influence of acoustic dominant mode propagation in a trifurcated lined duct with different impedances. PhysicaScripta, 81(3), 035402.
  • [3] Buyukaksoy, A., HakkiTayyar, I., & Uzgoren, G. (2006). Influence of the junction of perfectly conducting and impedance parallel plate semi-infinite waveguides to the dominant mode propagation. The European Conference on Antennas and Propagation, 626, 367.
  • Baumeister, K. J. (1976). Wave envelope analysis of sound propagation in ducts with variable axial impedance. Aeroacoustics: Fan Noise and Control: Duct Acoustic; Rotor Noise, 44, 451-474.
  • Cummings, A., & Chang, I. J. (1988). Sound attenuation of a finite length dissipative flow duct silencer with internal mean flow in the absorbent. Journal of Sound and Vibration, 127(1), 1-17.
  • Demir, A., & Cinar, Ö. Y. (2009). Propagation of sound in an infinite two-part duct carrying mean flow inserted axially into a larger infinite duct with wall impedance discontinuity. ZAMM Journal of Applied Mathematics and Mechanics/ZeitschriftfürAngewandteMathematik und Mechanik, 89(6), 454-465.
  • Huang, L. (2002). Modal analysis of a drumlike silencer. The Journal of the Acoustical Society of America, 112(5), 2014-2025.
  • Hassan, M. U., & Rawlins, A. D. (1998). Radiation from a two-dimensional duct. Canadian Journal of Physics, (6), 375-384.
  • Johansen, E. L. (1962). Scattering coefficients for wall impedance changes in waveguides. IRE Transactions on Microwave Theory and Techniques, 10(1), 26-29.
  • Kraft, R. E., & Motsinger, R. E, (1976). Practical considerations for the design of two-element duct liner noise suppressors. American Institute of Aeronautics and Astronautics 3rd Aero-Acoustics Conference, Palo Alto, California, Paper 76-517.
  • [11] Koch, W. (1977). Radiation of sound from a two-dimensional acoustically lined duct. Journal of Sound and Vibration, 55(2), 255-274.
  • Kirby, R. (1989). Simplified techniques for predicting the transmission loss of a circular dissipative silencer. Journal of Sound and Vibration, 243(3), 403-426.
  • Levine, H., & Schwinger, J. (1948). On the radiation of sound from an unflanged circular pipe. Physical review, 73(4), 383.
  • Lansing, D., & Zorumski, W. E. (1973). Effects of wall admittance changes on duct transmission and radiation of sound. Journal of Sound and Vibration, 27(1), 85-100.
  • Lawrie, J. B., & Guled, I. M. (2006). On tuning a reactive silencer by varying the position of an internal membrane. The Journal of the Acoustical Society of America, 120(2), 780-790.
  • Morse, P. M., & Feshbach, H, (1656). Methods of theoretical physics. Bulletin of the American Mathematical Society, 62(1), 52-54.
  • Nawaz, R., & Lawrie, J. B. (2013). Scattering of a fluid-structure coupled wave at a flanged junction between two flexible waveguides. The Journal of the Acoustical Society of America, 134(3), 1939-1949.
  • Nawaz, R., Afzal, M., & Ayub, M. (2015). Acoustic propagation in two-dimensional waveguide for membrane bounded ducts. Communications in Nonlinear Science and Numerical Simulation, 20(2), 421-433.
  • Nawaz, R., & Ayub, M. (2015). Closed form solution of electromagnetic wave diffraction problem in a homogeneous bi-isotropic medium. Mathematical Methods in the Applied Sciences, 38(1), 176-187.
  • Peat, K. S. (1991). A transfer matrix for an absorption silencer element. Journal of Sound Vibration, 146, 353-360.
  • Rawlins, A. D. (1994). A trifurcated waveguide problem. Brunel University Mathematics Technical Papers collection.
  • Rawlins, A. D. (1994). A trifurcated waveguide problem. Brunel University Mathematics Technical Papers collection.
  • Rawlins, A. D. (1997). Two waveguide trifurcation problems. In Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press, 121(3), 555-573.
  • Rawlins, A. D. (2007). Wave propagation in a bifurcated impedancelined cylindrical waveguide. Journal of Engineering Mathematics, 59(4), 419-435.
  • Singh, H. (2018). An efficient computational method for the approximate solution of nonlinear Lane-Emden type equations arising in astrophysics. Astrophysics and Space Science, 363 (4) (2018).
  • Singh, H., Srivastava, H. M. & Kumar, D. (2017). A reliable algorithm for the approximate solution of the nonlinear Lane-Emden type equations arising in astrophysics. Numerical Methods for Partial Differential Equations, 33 (2017).
  • Singh, H. (2016).A new numerical algorithm for fractional model of Bloch equation in nuclear magnetic resonance.Alexandria Engineering Journal. 55 (2016) 2863-2869.
  • Singh, H., Srivastava, H. M. & Kumar, D. (2017). A reliable numerical algorithm for the fractional vibration equation. Chaos Solitons Fractals, 103 (2017), 131-138.
  • Singh, H. (2018). A reliable numerical algorithm for the fractional Klein-Gordon equation. Engineering Transactions, 67 (1), 2019.
  • Unruh, J. F. (1976). Finite length tuning for low frequency lining design. Journal of Sound and Vibration, 45(1), 5-14.
  • Zorumski, W. E. (1974). Reduction of turbofan engine noise. Acoustic Theory of Axisymmetric Multisectioned Ducts, 6(1), 59-61.

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