| 
2, j,k, 1,m 
u=u-7?/r, the component of @ in the 7-direction 
Vector velocity at 7 at retarded time ¢-r/c 
u, =u, (y, t-r/c), fluid velocity at 7 at retarded time ¢-r/c 
Correlation volume 
kth component of the instantaneous particle velocity at % 
Vector position of a point outside of the turbulent region 
ith coordinate of a point outside of the turbulent region 
Vector position of a point in the turbulent region 
ith coordinate of a point in the turbulent region 
Element of volume at 7 
Unit diagonal tensor 
Efficiency of conversion of mechanical to acoustic energy for dipole 
Efficiency of conversion of mechanical to acoustic energy for 
quadrupole 
na yt ie 
6 = |6|, spherical polar coordinate 
Vector in the direction of increasing 0 
ith component of 6 
Mean density of the medium 
Instantaneous velocity potential at z 
¢ = ||, spherical polar coordinate 
Vector in the direction of increasing ¢ 
ith component & 
Angular frequency or 27 times the frequency of the radiated sound 
Angular frequency of the velocity fluctuations 
Subscripts which take on values 1, 2, or 3 for the three coordinate 
directions 
Primes indicate condition at independent position 7’ in the 
turbulent region 
Dots indicate partial derivatives with respect to time 
Overbar on individual quantities indicates a vector 
Overbar on products of time-dependent quantities indicates a 
time average 
