TY - JOUR
ID - 3483
TI - Mathematical Modeling and Decomposition of Hydrodynamics-Acoustic Fields Using Perturbation Methods
JO - Scientia Iranica
JA - SCI
LA - en
SN - 1026-3098
AU - Riahi, Mohammad
AU - Nouri, Norouz M.
AU - Valipour, Ali
AD - Department of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
Y1 - 2014
PY - 2014
VL - 21
IS - 1
SP - 213
EP - 221
KW - Mathematics Modeling
KW - Cavitation
KW - Supercavitation
KW - Perturbation method
KW - Scale Analysis
DO -
N2 - Conservation of mass, momentum, energy and state equations are recognized as basic mathematical models in the analysis of acoustic behavior of cavitation as well as supercavitation. Also, it is known that the order of acoustics effects arenâ€™t as higher as hydrodynamics ones. Therefore, in this paper, initially, for comparing different terms of equations, via using scale analysis, conservation equations are converted into dimensionless. Then by comparing all conditions coupled with weighting terms available in those equations, groups of parameter which are most appropriate with the hydrodynamics and hydroacoustic of the cavitating flow were selected. By regarding acoustic as lower order phenomenon, compared to hydrodynamic of flow and simultaneously using perturbation method, two equations containing leading and first orders and different terms could be attained. Obtained results were indicated that leading order equations represent hydrodynamic of the cavitating flow and first order equations indicate acoustics of cavitation or supercavitation. Acoustic equations of the present study contain terms related to fluid viscosity, density and pressure changes and background flow velocity. As acoustic equations coupled with leading order equations, in order to find noise of cavitation, equations of fluid flow for compressible flow should be resolved.
UR - http://scientiairanica.sharif.edu/article_3483.html
L1 - http://scientiairanica.sharif.edu/article_3483_41fe54f78c84ec32e18ab89f99a4ba3a.pdf
ER -