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- Title
A Direct Method for Acoustic Waves in Unidirectional Fiber-Filled Viscous Fluids.
- Authors
Ru, C. Q.
- Abstract
Background: Extensive numerical calculations are usually requested with existing models for acoustic waves in fiber-filled viscous fluids and different models often give different results for attenuation and phase velocity even with considerable relative errors. Objective: Develop a novel (two-dimensional) acoustic model for acoustic wave propagation of unidirectional fiber-filled composite viscous fluids with conceptual and mathematical simplicity and reasonable accuracy. Methodology and Novelty: The novelty of the present model is presented by the idea to modify classical acoustic equations by substituting the inertia term with the acceleration field of the mass centre of the representative unit cell, supplied with a derived simple differential relation between the mass centre's velocity field and the velocity field of fiber-filled composite viscous fluid. Results: Under the widely adopted long-wavelength assumption, explicit formulas are obtained for attenuation coefficient and effective phase velocity of compression waves and shear waves, and efficiency and accuracy of the present model are demonstrated by good agreement between predicted results and recent known data on unidirectional fiber-filled viscous fluids. Conclusion: The proposed model offers a relatively simple method and easy-to-use formulas to study acoustic waves in a viscous fluid filled with randomly distributed unidirectional solid fibers.
- Subjects
SOUND waves; LONGITUDINAL waves; PHASE velocity; ACOUSTIC wave propagation; ACOUSTIC models; SHEAR waves
- Publication
Journal of Vibration Engineering & Technologies, 2024, Vol 12, Issue 3, p4483
- ISSN
2523-3920
- Publication type
Article
- DOI
10.1007/s42417-023-01132-y