By Tarit Bose
Aerodynamic Noise largely covers the theoretical foundation and mathematical modeling of sound, specially the bad sounds produced via airplane. This noise may perhaps come from an aircraft’s engine—propellers, enthusiasts, 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 strong obstacles, and this is often the most dialogue of the ebook. With challenge units on the finish of every bankruptcy, Aerodynamic Noise is perfect for graduate scholars of mechanical and aerospace engineering. it might probably even be important for designers of autos, trains, and wind turbines.
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Additional info for Aerodynamic Noise: An Introduction for Physicists and Engineers
2 Fluctuating Dipole In the previous section we described how we introduced fluid and withdrew it periodically from a small region in space, the source point, to generate sound (monopole). Although the condition may be fulfilled in many cases, for dipoles, these are produced by moving a portion of the fluid as the source or sink at a neighboring point but not introducing any new fluid. The simplest arrangement of this sort can be simulated by two simple sources completely out of phase with each other (equal in magnitude but with opposite signs).
It can be shown that F(θ ) is zero for some values of sin θ , and there is no radiation in that direction (Fig. 3). This was shown in Fig. 4. As a result, the intensity distribution for a pulsating piston is shown in Fig. 3. 2 Fluctuating Dipole 41 Fig. 3 Directivity factor for acoustic radiation of the pulsating piston Fig. 2 Fluctuating Dipole In the previous section we described how we introduced fluid and withdrew it periodically from a small region in space, the source point, to generate sound (monopole).
3! jky sin θ cos ψ (ky sin θ cos ψ )2 − + −··· . 1! 2! 41) then 2π ψ =0 expjky sin θ cos ψ dψ = 2π ψ =0 ∞ (jky sin θ cos ψ )n dψ n! n=1 1+ ∑ ∞ (jky sin θ )n n! n=1 = 2π + ∑ 2π ψ =0 cosn ψ dψ = 2π Jo(ky sin θ ). 42) where J1 is the Bessel function of first order, J1 = 1 ϕ3 ϕ5 ϕ− + ∓ ... 43) Further, the term between the [ ] is the directivity factor for acoustic radiation of the pulsating piston. It can be shown that F(θ ) is zero for some values of sin θ , and there is no radiation in that direction (Fig.