Scattering near a penetrable finite plane

• Autorzy: Hayat T.
• Języki publikacji: EN

Abstrakty

EN

Acoustic scattering due to a point source by a penetrable finite plane introducing the Kutta-Joukowski condition is studied. This investigation is important in the sense that point source is regarded as fundamental radiating device. Mathematical problem which is solved is an approximate model for a noise barrier which is not perfectly rigid and therefore transmits sound. Approximate boundary condition depends upon the thickness and material constants which constitute the finite plane. The problem is solved using integral transforms, the Wiener-Hopf technique and asymptotic methods. It is found that the diffracted field is sum of the fields produced by the two edges of the finite plane and an interaction field. It is once again found that the field produced by the Kutta-Joukowski condition will be substantially larger than the field produced in its absence when the source is near the edge. Finally, physical interpretation of the result is discussed.

• Wydawca: Instytut Podstawowych Problemów Techniki PAN ; Komitet Akustyki PAN ; Polskie Towarzystwo Akustyczne
• Czasopismo: Archives of Acoustics
• Rocznik: 2002
• Tom: Vol. 27, no. 1
• Strony: 41--53
• Opis fizyczny: Bibliogr. 18 poz., rys., wykr.

Twórcy

autor

Hayat T.

• Mathematics Department, Quaid-i-Azam University, Islamabad 45320, Pakistan,

Bibliografia

• [1] G. F. Butler, J. Sound Vibr., 32, 367 (1974).
• [2] U. J. Kurze, J. Acoust. Soc. Amer., 55, 504 (1974).
• [3] C. Yeh, J. Opt. Soc. Am., A57, 195 (1967).
• [4] J. Shmoys, IEEE Trans. Antennas and Propag., AP-34, 588 (1969).
• [5] A. A. Pistol'kors, V. A. Kaplan and L. V. Kniazeva, Rad. Engng. Elect. Phys., 4, 1 (1959).
• [6] N. G. Khrebet, Rad. Engng. Elect. Phys., 13, 331 (1968).
• [7] A. D. Rawlins, Int. J. Engng. Sci., 15, 569 (1977).
• [8] S. Asghar and T. Hayat, Arch. of Acoust., 23, 3, 391 (1998).
• [9] S. Asghar and T. Hayat, Arch. of Acoust. (in press).
• [10] S. Asghar, T. Hayat and J. G. Harris, Wave Motion, 33, 25 (2001).
• [11] J. E. Ffowcs Williams and L. H. Hall, J. Fluid Mech., 40, 4, 657 (1970).
• [12] J. B. Alblas, Appl. Sci. Res., A6, 237 (1957).
• [13] D. S. Jones, J. Inst. Maths. Applics., 9, 114 (1972).
• [14] R. Balasubramanyam, IMA. J. Appl. Maths., 33, 1, 71 (1994).
• [15] S. W. Rienstra, J. Fluid Mech., 108, 443 (1981).
• [16] B. Noble, Methods based on the Wiener-Hopf technique, Pergamon Press, London 1958.
• [17] J. G. Harris, D. A. Rebinsky and G. R. Wickham, J. Acoust. Soc. Am., 99, 1315 (1996).
• [18] P. M. Morse and U. K. Ingard, Theoretical Acoustics, McGraw-Hill, New York 1967.