Aerodynamic Noise: An Introduction for Physicists and by Tarit Bose PDF
By Tarit Bose
Aerodynamic Noise broadly covers the theoretical foundation and mathematical modeling of sound, specifically the bad sounds produced by means of airplane. This noise may perhaps come from an aircraft’s engine—propellers, fanatics, combustion chamber, jets—or the motor vehicle itself—external surfaces—or from sonic booms. the vast majority of the sound produced is because of the movement of air and its interplay with reliable limitations, and this is often the most dialogue of the publication. With challenge units on the finish of every bankruptcy, Aerodynamic Noise is perfect for graduate scholars of mechanical and aerospace engineering. it may well even be helpful for designers of automobiles, trains, and wind turbines.
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Extra resources for Aerodynamic Noise: An Introduction for Physicists and Engineers
For the propagating medium (air) at rest, the disturbance propagates at sonic speed co . Thus, t1 = t − ro /co . It is evident that in the case of a wave train we may define the disturbance by a characteristic value in the wave, for example, by density, which may be given in terms of a Fourier series. For a fluctuating variable in the wave, it can be shown that for a simple harmonic wave the density fluctuation is approximately given proportional to cos[ω (t − r/co )], and thus 1 ∂ ∂ =− . 1) For noise generated due to fluctuations in mass, force, and turbulence, Lighthill [61, 62] has shown that the acoustic equation can be derived directly from the standard flow equations of conservation and momentum, and some of the terms may be considered to be due to a fluctuating monopole, dipole, or quadrupole.
21) A= Thus for this special case only p = Now the intensity of the sound is I = p 2 /(ρo co ), [Wm−2 ]. 23) exp2jϕ t dt = sin (ϕ t)dt = , T 0 T 0 2 the equation can be simplified more easily if it is written in trigonometric form and where T = 2π /ϕ is the period. Thus, exp2jϕ t = exp2jϕ t = 1 T T o sin2 (ϕ t)dt = ϕt 1 1 − sin(2ϕ t) + 2π 4 2 2π /ϕ 0 1 = . 26) we obtain that the intensity of sound is I(Wm−2 ) = − U 2 ρ o co 2K 2 Ro r 2 U 2 ρ o co 2K 2 Ro r 2 =± 2jr exp− KRo 2r KRo cos − j sin 2r KRo .
While the foregoing analysis gives the angular distribution of the dipole intensity, we will now examine the cancellation effects in dipole of the distance between the two monopoles that constitute a dipole. For this purpose we consider the effect on 44 2 Monopole, Dipole, and Quadrupole Models Fig. 8 Propagation of waves due to two fluctuating sources being in phase the line connecting the two monopoles. The density and pressure wave propagation due to a mass source has an associated equivalent force, f = q˙m co .
Aerodynamic Noise: An Introduction for Physicists and Engineers by Tarit Bose