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 through fluid circulation. This topic, which deals various demanding situations to standard components of acoustics, is of turning out to be obstacle in locations the place the surroundings is adversely plagued by sound. Howe offers invaluable historical past fabric on fluid mechanics and the common strategies of classical acoustics and structural vibrations. utilizing examples, lots of which come with whole labored recommendations, he vividly illustrates the theoretical ideas concerned. He presents the root for all calculations important for the choice of sound new release by way of plane, ships, normal 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 is going to additionally relief engineers within the thought and perform of noise regulate.
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Additional resources for Acoustics of Fluid-Structure Interactions (Cambridge Monographs on Mechanics)
Sample text
34) reduces to ds/dt = 0 so that the compressions and rarefactions of fluid elements take place adiabatically. This approximation tends to be better at lower frequencies because viscous dissipation and heat transfer by thermal conduction are weaker when the acoustic wavelengths (which increase with decreasing frequency) are longer [6]. Consider the propagation of sound in a medium of uniform mean density po and pressure po. 1) where the body force F is assumed to vanish in the undisturbed state.
By a vibrating body) rather than a distributed body force within the fluid. 2) 28 1 Introduction where the source strength q = q(x, t) is the rate of increase of fluid volume per unit volume of the fluid. For example, q might represent the influence of volume pulsations of a body immersed in the fluid. 3) we find d2p'/dt2 - V 2 // = Podq/dt - divF. 4) The perturbation density p' can be expressed in terms of p' by using the equation of state in the form p = p(p, s). 6) When the perturbations are from a uniform state of pressure po and density po, the derivative may be evaluated by setting p = po, p = po.
For the first, Cauchy's theorem [21] permits the path of integration to be rotated through 90° onto the positive imaginary axis, on which the integrand decays exponentially as k -» +/oo. The pole at k = KO is crossed during this rotation, giving a residue contribution /7re^o|x~yl to the value of the integral. The path of integration for the second exponential may be similarly rotated onto the negative imaginary axis, this time without encountering any singularities. The two integrals on the positive and negative imaginary axes are equal and opposite, and therefore _ e //c o |x-y| ;a;) .
Acoustics of Fluid-Structure Interactions (Cambridge Monographs on Mechanics) by M. S. Howe
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