Abstract
There are many situations where we are interested in the sound field in the vicinity of small objects. This often requires us to account for the viscosity of the medium. This greatly complicates the relationship between fluid velocity near solid obstacles and the fluctuating pressure. In the following, the differential equations for acoustic fluctuations in a viscous fluid are presented. Obtaining solutions to these equations can provide endless challenges. Here we solve them for some specialized situations that are relevant for acoustic sensing.
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References for Chapter 9
Homentcovschi D, Miles R (2004) Modeling of viscous dam** of perforated planar microstructures. Applications in acoustics. J Acoust Soc Am 116(5):2939–2947
Homentcovschi D, Miles R (2005) Viscous dam** of perforated planar micromechanical structures. Sens Actuators A-Phys 119(2):544–552
Homentcovschi D, Miles RN (2008) Analytical model for viscous dam** and the spring force for perforated planar microstructures acting at both audible and ultrasonic frequencies. J Acoust Soc Am 124(1):175–181
Homentcovschi D, Murray BT, Miles RN (2010) An analytical formula and FEM simulations for the viscous dam** of a periodic perforated MEMS microstructure outside the lubrication approximation. Microfluid. Nanofluidics 9(4–5):865–879
Homentcovschi D, Miles RN (2010) Viscous dam** and spring force in periodic perforated planar microstructures when the Reynolds’ equation cannot be applied. J Acoust Soc Am 127(3 Part 1):1288–1299
Homentcovschi D, Cui W, Miles RN (2008) Modelling of viscous squeeze-film dam** and the edge correction for perforated microstructures having a special pattern of holes. In: Proceedings of the ASME international design engineering technical conference and information in engineering conference, vol 1, PTS A-C, pp 1025–1033. ASME international design engineering technical conferences/computers and information in engineering conference, Las Vegas, NV, 04–07 Sep 2007
Homentcovschi D, Miles RN (2007) Viscous microstructural dampers with aligned holes: design procedure including the edge correction. J Acoust Soc Am 122(3):1556–1567
Stokes GG (1851) On the effect of the internal friction of fluids on the motion of pendulums. Pitt Press
Rosenhead L (1963) Laminar boundary layers: an account of the development, structure, and stability of laminar boundary layers in incompressible fluids, together with a description of the associated experimental techniques. Clarendon Press, Oxford
Zhou J, Miles RN (2017) Sensing fluctuating airflow with spider silk. Proc Natl Acad Sci 201710559
Miles R, Zhou J (2018) Sound-induced motion of a nanoscale fiber. J Vib Acoust 140(1):011009
Zhou J, Li B, Liu J, Jones WE Jr, Miles RN (2018) Highly-damped nanofiber mesh for ultrasensitive broadband acoustic flow detection. J Micromechanics Microengineering 28(9):095003
Zhou J, Miles RN (2018) Directional sound detection by sensing acoustic flow. IEEE Sens Lett 2(2):1–4
Karniadakis GE, Beskok A, Aluru N (2006) Microflows and nanoflows: fundamentals and simulation, vol 29. Springer Science and Business Media, Berlin
Miles R, Bigelow S (1994) Random vibration of a beam with a stick-slip end condition. J Sound and Vib 169(4):445–457
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Miles, R.N. (2024). Effects of Viscosity. In: Physical Approach to Engineering Acoustics. Mechanical Engineering Series. Springer, Cham. https://doi.org/10.1007/978-3-031-33009-4_9
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DOI: https://doi.org/10.1007/978-3-031-33009-4_9
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