“…In order to improve prediction accuracy and optimization efficiency, taking samples with a compression ratio of 50%, for example, the relationship between sound absorption coefficient α and thickness d could be obtained by the Johnson-Allard model [10,[14][15][16], as shown in Equation (1), and parameters in Equation (1) could be obtained by the equations in Equation (2). Here, Z c is the characteristic impedance of the compressed porous Ni-Fe sample; k is the number of the wave in the compressed porous Ni-Fe sample; d is the thickness of the compressed porous Ni-Fe sample; φ is the porosity of the compressed porous Ni-Fe sample; Z 0 is the characteristic impedance of the air, 415.1 Pa · s · m −1 ; ρ(ω) is the effective density; K(ω) is the effective bulk modulus; ω is the angular frequency; f is the frequency of the acoustic wave; ρ 0 is the density of the air, 1.21 kg · m −3 ; c 0 is sound speed in air, 343 m · s −1 ; σ is the static flow resistivity of the compressed porous Ni-Fe, 1.02 × 10 4 Pa · s · m −2 ; γ is the specific heat ratio of the air, 1.40; P 0 is the static pressure of the air, 1.013 × 10 5 Pa; N u is the Nusselt number, 4.36; and Pr is the Prandtl number, 0.71 [10,[14][15][16].…”