Viscous scattering of a pressure wave: calculation of the fluid tractions on a biomimetic acoustic velocity sensor

The Journal of the Acoustical Society of America
Dorel Homentcovschi, Ronald N Miles

Abstract

In the paper we give a method for calculating the tractions (local forces) of the fluid motion determined by an incoming plane pressure wave on an artificial hair cell transducer structure. The sensing element of the transducer is a standing high aspect ratio cilium in the shape of a narrow thin curved beam (tape-like), which can be easily fabricated in micro-/nanotechnology. The method is based on considering the system of partial differential equations describing the motion of the compressible viscous fluid in an acoustic linearized approximation, and representation of the velocity field as a viscous acoustic single-layer potential. The boundary conditions, stating the cancellation of the velocity components on the solid beam, yield a two-dimensional (2-D) system of three integral equations over the beam's surface for the traction components. In the case of a narrow cilium, the system of integral equations furnishes a system of two 1-D integral equations over the symmetry curve of the structure for obtaining the tangential and normal components of the traction. This system is solved numerically by a finite (boundary) element method. The numerical code written for solving the problem was applied to some particular structures. ...Continue Reading

References

Jan 12, 2000·International Journal of Neural Systems·T Chapman, B Webb
Jul 27, 2001·Journal of Comparative Physiology. A, Sensory, Neural, and Behavioral Physiology·H E DechantF G Barth
Aug 19, 2008·Engineering Analysis with Boundary Elements·Dorel Homentcovschi, Ronald N Miles
Mar 28, 2009·Journal of the Royal Society, Interface·R Kant, J A C Humphrey

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Citations

Oct 30, 2009·Proceedings. Mathematical, Physical, and Engineering Sciences·Dorel Homentcovschi
Aug 19, 2008·Engineering Analysis with Boundary Elements·Dorel Homentcovschi, Ronald N Miles

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