SIX-PORT MODEL FOR SOUND PROPAGATION IN A POROUS MEDIA WITH APPLICATION TO DIESEL PARTICULATE FILTERS | ||||
| The International Conference on Applied Mechanics and Mechanical Engineering | ||||
| Article 73, Volume 13, 13th International Conference on Applied Mechanics and Mechanical Engineering., May 2008, Page 18-31 PDF (330.34 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/amme.2008.39382 | ||||
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| Authors | ||||
| HAMDAN M. N.1; FAYYAD S. M.2; HAMDAN M. A.1 | ||||
| 1Full Professor, Dpt. of Mechanical Engineering, University of Jordan, Amman, Jordan university. | ||||
| 2Assistant Professor, Dpt. of Mechatronics, Albalqa Applied University, Alsalt, Jordan. | ||||
| Abstract | ||||
| ABSTRACT This work presents a 2-D field model for the study of sound propagation in a diesel particulate filter (DPF) unit. The 2-D model is formulated using the field Navier-stocks, energy, and continuity equations and retains the normal as well as transverse component of gas velocity. Temperature, pressure, density, and velocities are taken to be as plane and time harmonic variations. By substituting the differentials of these quantities with respect to both plane and time in field equations, a set of three coupled linear 2-D field variation equations for pressure, axial and transverse velocities is obtained. The obtained model is solved analytically using Fourier series approximations. The approximate solution is used to build a 2D acoustic model for the exhaust gases emission, with the existence of the diesel particulate filter, which accounts for both attenuation and phase shift defining the propagation wave constant. In addition the obtained approximate solution is used to determine the acoustics impedance of the DPF unit, comparing between different types of DPF based on sound transmission losses performance, soot loading, noise and vibration damping, in addition to calculating the noise reduction factor (NRF). In the present study, unlike previous ones, six, rather than four, roots for wave propagation constant are obtained corresponding to the obtained six port acoustic DPF model. The results obtained using the present six -port model, for selected system parameters are graphically displayed and compared with those available in the open literature using four- port models. The present model results show, in general, similar qualitative behavior and a significant quantitative improvement of the available results in the open literature obtained using a four port model. | ||||
| Keywords | ||||
| Porous media; diesel particulate filter; acoustic model; Darcy law; wave propagation constant; acoustic transmission losses | ||||
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