Three dimensional axisymmetric sound propagation through a duct with aerosol

The aim of this study is to develop solutions for the propagation of spinning sound waves in air-filled circular ducts containing water droplets (regarded as an aerosol). There exist several theoretical approaches in literature for treatment of basic (mostly 1-D) aerosol problems with certain limitations, but these approaches are mostly suitable for plane waves. A numerical methodology based on the linearized Euler equations in frequency domain has been developed to account for spatial effects both in azimuthal and radial directions. The interactions between the fluid and particle phases are considered through momentum. The paper also presents an analytical solution with which the numerical solutions are compared. Example solutions for plane and spinning modes are presented with emphasis on the effects of aerosol parameters on propagation characteristics as well as geometric cut-off frequencies.


MEAD, DJ; Yaman, Yavuz (Elsevier BV, 1990-09-22)
A wave approach is developed for the exact analysis of the harmonic response of uniform finite beams on multiple supports. The beam may be excited by single or multi-point harmonic forces or moments; its supports may have general linear characteristics which may include displacement-rotation coupling. Use is made of the harmonic response function for an infinite beam subjected to a single-point harmonic force or moment. The unknowns of the finite beam problem are the support reaction forces/moments and the ...
Two-dimensional transient wave propagation in viscoelastic layered media
Abu Alshaikh, I; Turhan, D; Mengi, Y (Elsevier BV, 2001-07-26)
Propagation of two-dimensional transient waves in multilayered viscoelastic media is investigated. The multilayered medium consists of N different isotropic, homogeneous and linearly viscoelastic layers with more than one discrete relaxation time. The top surface of the layered medium is subjected to dynamic in-plane surface tractions; whereas, the lower surface is free or fixed. A numerical technique which combines the Fourier transform with the method of characteristics is employed to obtain the solutions...
A refined dynamic theory for viscoelastic cylindrical shells and cylindrical laminated composites, Part 1: General theory
Birlik, G.A.; Mengi, Yalçın (Elsevier BV, 1989-4)
Through the use of a new technique, approximate theories are developed for the dynamic response of viscoelastic cylindrical shells and cylindrical laminated composites (CLC). The new technique eliminates the inconsistencies between the deformation shapes assumed over the thickness of the shell and the boundary or interface conditions to be satisfied on its lateral surfaces. Accordingly, the theory correctly predicts the dynamic behavior of shells or CLC without using any correction factors. Due to its lengt...
Kayran, Altan (Elsevier BV, 1990-09-08)
An analysis is presented for the torsional vibration characteristics of layered composite paraboloidal shells. The conditions for the uncoupling of the torsional modes from the bending and extensional modes are first determined for a layered shell of revolution. A finite difference scheme is developed for the solution of the resulting governing equation for the uncoupled torsional frequencies. The results of the finite difference solution for the paraboloids are compared with the analytical solution of unco...
A refined dynamic theory for viscoelastic cylindrical shells and cylindrical laminated composites, Part 2: An application
Birlik, G.A.; Mengi, Yalçın (Elsevier BV, 1989-4)
In this study, the general approximate theory developed in Part 1 for shells is assessed for axially symmetric elastic waves propagating in a closed circular cylindrical shell (hollow rod). The spectra predicted by zeroth and second order approximate theories are determined for various values of shell thicknesses and the Poisson ratios and they are compared with those of exact theory. It is found that the agreement between the two is good. Approximate and exact cut-off frequencies match almost exactly. The ...
Citation Formats
E. Arslan, M. Çalışkan, and Y. Özyörük, “Three dimensional axisymmetric sound propagation through a duct with aerosol,” JOURNAL OF SOUND AND VIBRATION, pp. 261–272, 2018, Accessed: 00, 2020. [Online]. Available: