By M. S. Howe

ISBN-10: 0521633206

ISBN-13: 9780521633208

Acoustics of Fluid-Structure Interactions addresses an more and more vital department of fluid mechanics--the absorption of noise and vibration via fluid circulation. This topic, which deals a variety of demanding situations to standard components of acoustics, is of becoming drawback in areas the place the surroundings is adversely stricken by sound. Howe offers invaluable historical past fabric on fluid mechanics and the uncomplicated recommendations of classical acoustics and structural vibrations. utilizing examples, a lot of which come with whole labored recommendations, he vividly illustrates the theoretical options concerned. He offers the foundation for all calculations precious for the decision of sound new release through airplane, ships, common air flow and combustion structures, in addition to musical tools. either a graduate textbook and a reference for researchers, Acoustics of Fluid-Structure Interactions is a vital synthesis of knowledge during this box. it's going to additionally relief engineers within the concept and perform of noise keep an eye on.

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**Additional info for Acoustics of Fluid-Structure Interactions (Cambridge Monographs on Mechanics)**

**Example text**

These instabilities are not captured by the Landau-Lighthill procedure because it assumes that all of the perturbation energy is supplied by the source. 4). Example 1. 3) that are radially symmetric with respect to the point source satisfy for r = |x - y| > 0 and that the solution with outgoing wave behavior is G = Atllc°r/r. 3) over the interior of a small sphere centered on the source whose radius is subsequently allowed to vanish. Example 2. 10) 4 where HQ is a Hankel function [24]. This represents a cylindrical disturbance whose behavior at large distances from the source is given by G(x, y; co) ^ ==, |x - y| -> oo.

3) are the most general statements of the reciprocal theorem for systems with a finite number of degrees of freedom. To apply it to small-amplitude oscillations of coupled fluid and continuous elastic media, it is necessary to consider a limit in which the number of degrees of freedom of a discrete representation of the continuum becomes unbounded. However, it is simpler to derive the general acoustic reciprocal theorem directly from the continuum differential equations of motion. 5). 2 Reciprocal Theorem for Fluid-Structure Interactions Consider a stationary (viscous) fluid of uniform mean pressure po, but with variable mean density po(x) and sound speed co(x).

By neglecting temporal retardations |x — y\/co. 5) implies that p ~ F13K"/\X\ for a source of frequency co (KO = o) I co). The squared ratio \p/ph l 2 /(^/|x|) 2 ~ (Kol)2n is ameasure of the radiation efficiency, and evidently decreases rapidly with increasing multipole order, because Kol <^ 1. Sources of aerodynamic sound are identified with turbulence of velocity ~u, length scale ~€, and frequency co~v/£. The efficiencies of low Mach number aerodynamic sources of monopole, dipole, quadrupole, and so forth, type therefore decrease, respectively, in the ratios 1: M2 : M4 : .

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