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 by way of fluid movement. This topic, which deals various demanding situations to standard parts of acoustics, is of transforming into difficulty in locations the place the surroundings is adversely tormented by sound. Howe provides helpful historical past fabric on fluid mechanics and the basic recommendations of classical acoustics and structural vibrations. utilizing examples, a lot of which come with entire labored ideas, he vividly illustrates the theoretical suggestions concerned. He presents the foundation for all calculations precious for the decision of sound iteration by means of plane, ships, normal air flow and combustion platforms, in addition to musical tools. either a graduate textbook and a reference for researchers, Acoustics of Fluid-Structure Interactions is a vital synthesis of data during this box. it is going to additionally reduction engineers within the concept and perform of noise keep an eye on.

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Extra resources for Acoustics of Fluid-Structure Interactions (Cambridge Monographs on Mechanics)

Example text

A compact body force F(x, t) is an acoustic dipole (an order two multipole). If the force is centered on x = 0, we find, because T = —divF, where f(t) = J F(y, t) d3y. The radiation at large distances is the same as that produced by a point force f(t)8 (x). If the direction of f is constant, thefieldshape has two lobes, with the peak radiation intensities occurring in the directions of ±f. Example 3. 1). They correspond to turbulence stress distributions whose integrated strength vanishes (because the fluid cannot exert a net force on itself) and generate the pressure field 47r|x-y| (1JUB It is generally not permissible to assume that the turbulent flow is compact so that retarded time differences across the source region cannot be neglected.

1. The reciprocal theorem. 4a, b) where vt = i;/ (x, co) denotes the complex amplitude of the velocity v(x, a))t~l(O\ and so forth. The simplifying approximation (l/p)Dp/Dt = (l/pc2)Dp/Dt— (PT/Cp)Ds/Dt & —(ico/pocl)p has been made in the continuity equation. 1). The reader can verify, however, that the retention of this term does not affect the outcome of the following analysis. The reciprocal problem involves source and force fields qf, F', and the velocity v\ and pressure p' are governed by -icopov'i + dp-j/dxj = F;, -{ia)/poc2o)pf + div v' = q'.

18)) in the form 1 G(x,j9t-T)= / 3k poo+ie ^/[k-(x—y)— / (27T)4 J . J—OQ+i€ * V dco. 2). When t > x, we can let e -> +0, that is, take the path in the w-plane to be just above the real axis. 2 could then be reproduced by interchanging the orders of integration, performing that with respect to k before the ^-integration. 2. Integration contour and poles in the &>-plane. 29) The integrand is proportional to G(k, y, t — r ) and is regular for all real and complex values of k (because G(x, y, t — x) = Ofor|x—y| > co(t — x)).

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Acoustics of Fluid-Structure Interactions (Cambridge Monographs on Mechanics) by M. S. Howe

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