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Nomenclature1

c

 

 

wave speed, the speed of sound

ex, ey, ez

base vectors of Cartesian coordinates

e

, e

, e

base vectors of spherical coordinates

bf r

bθ

bϕ

circular frequency

bfo

b

b

center frequency

flower

 

lower limit frequency

fupper

 

upper limit frequency

I

 

 

acoustic intensity

Ia

 

 

moment of inertia of one particle

IL

 

insertion loss

Ka

 

kinetic energy of one particle

kexperimentally determined coefcient of air for excess absorption coefcient

k

wave number

kx, ky, kz

components of wave number vector

Lp

pressure level

Lw

pressure level from direct source

Lx, Ly, Lz

dimensions of a rectangular cavity

ma

mass of one particle

NR

noise reduction

nx, ny, nz

components of a unit vector in wave propagation direction

PSIL

preferred speech interference level

Po

averaged air pressure

P

absolute air pressure

p

pressure difference (P Po)

p(x, t)

one-dimensional pressure function

p(x, y, z, t)

three-dimensional pressure function

1 Capital letter for amplitude and Bold facing for complex number.

 

© The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

355

H. Lin et al., Lecture Notes on Acoustics and Noise Control,

 

https://doi.org/10.1007/978-3-030-88213-6

 

356

Nomenclature

p+()

forward traveling pressure wave

p ()

backward traveling pressure wave

ps()

standing pressure wave

Q

directivity of a source

Qs

source strength

Qρ

mass ow rate

R

room constant

R

reection coefcient; radius

Rm

mechanical resistance

RMS

root mean square

r, θ, φ

spherical coordinates

S

cross-section area

S

surface area of a room

SPL

sound pressure level

T

period

T(t)

time function

TL

transmission loss

T60

reverberation time (decay to 60 dB)

U

ow rate amplitude (VS)

u

ow rate (vS)

V

velocity amplitude; volume of a room

Va

volume occupied by one particle

v

ow velocity

vca

colliding speed of a particle

vf(x, t)

one-dimensional ow velocity in x-direction

!

ow velocity

v f ðx, y, z, tÞ

sound power

w

X(x)

space function

x, y, z

Cartesian coordinates

Z, Za

acoustic impedance (p/u¼p/(vS)¼z/S)

Zm

mechanical impedance (pS/u¼ zS)

z

specic acoustic impedance (p/v)

αsound absorption coefcient

αaverage sound absorption coefcient

α0, αtot

total average absorption coefcient include excess absorption

 

coefcient

αex

excess absorption coefcient

γratio of specic heat

δtotal energy density

δd

direct energy density

δr

reverberant energy density

θphase angle

θca

rotation speed of a particle

λwave length

Nomenclature

357

ξlocation along the wave number vector

ρinstantaneous mass density of the air

ρ0

averaged mass density of the air

τtransmission coefcient

ϕphase angle

ωangular frequency