A fractal study of sound propagation characteristics in roughened porous materials

被引:11
作者
Ning, J. F. [1 ]
Zhao, G. P. [1 ]
机构
[1] Xi An Jiao Tong Univ, Sch Aerosp, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Peoples R China
基金
中国国家自然科学基金;
关键词
Fractal; Surface modification; Roughened porous materials; Sound absorption behavior; PRESSURE-DROP; ABSORPTION BEHAVIOR; SURFACE-TOPOGRAPHY; LAMINAR-FLOW; CELL-WALLS; CONDUCTIVITY; ROUGHNESS; CONTACT; MODELS; WAVES;
D O I
10.1016/j.wavemoti.2016.09.013
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The influence of rough elements of porous materials on sound propagation characteristics in roughened porous materials is investigated. Rough surface topography on the roughened porous materials is simulated by the fractal geometry theory, in which relative roughness is defined clearly as a function of the fractal dimension, porosity, average diameter and diameter ratio of the hexagonal elements on pore wall of the porous materials. Based on the sound propagation model of the smooth porous materials, a sound propagation model of the roughened porous materials is built. The effective density and bulk modulus, acoustic impedance and propagation constant, flow resistivity and sound absorption coefficient of the roughened porous materials are derived and discussed as a function of the relative roughness. It is demonstrated that the sound absorption coefficient of the roughened porous materials is improved as the relative roughness increases. The model predictions for the sound absorption coefficient of the roughened porous materials are well agreed with that of the existing test results. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:190 / 201
页数:12
相关论文
共 37 条
[1]  
Allard J.F., 2009, MODELING SOUND ABSOR, V2nd
[2]   ACOUSTICAL PROPERTIES OF PARTIALLY RETICULATED FOAMS WITH HIGH AND MEDIUM FLOW RESISTANCE [J].
ALLARD, JF ;
AKNINE, A ;
DEPOLLIER, C .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1986, 79 (06) :1734-1740
[3]   NEW EMPIRICAL EQUATIONS FOR SOUND-PROPAGATION IN RIGID FRAME FIBROUS MATERIALS [J].
ALLARD, JF ;
CHAMPOUX, Y .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1992, 91 (06) :3346-3353
[4]  
[Anonymous], 1949, Sound Absorbing Materials
[5]   Pressure drop of fully developed, laminar flow in rough microtubes [J].
Bahrami, M. ;
Yovanovich, M. M. ;
Culham, J. R. .
JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME, 2006, 128 (03) :632-637
[7]   ON ACOUSTICAL MODELS FOR SOUND-PROPAGATION IN RIGID FRAME POROUS MATERIALS AND THE INFLUENCE OF SHAPE FACTORS [J].
CHAMPOUX, Y ;
STINSON, MR .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1992, 92 (02) :1120-1131
[8]   Variable length scale analysis of surface topography: characterization of titanium surfaces for biomedical applications [J].
Chauvy, PF ;
Madore, C ;
Landolt, D .
SURFACE & COATINGS TECHNOLOGY, 1998, 110 (1-2) :48-56
[9]   Numerical simulation of laminar heat transfer in microchannels with rough surfaces characterized by fractal Cantor structures [J].
Chen, Yongping ;
Fu, Panpan ;
Zhang, Chengbin ;
Shi, Mingheng .
INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, 2010, 31 (04) :622-629
[10]   Fractal characterization of wall roughness on pressure drop in microchannels [J].
Chen, YP ;
Cheng, P .
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2003, 30 (01) :1-11