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536 A. B. ARONS AND D. R. YENNIE 
APPENDIX I 
Summary of Notation 
p=absolute pressure at any point as a function of time 
P o=absolute hydrostatic pressure 
Ap=excess pressure as a function of time (p— Po) 
P=excess peak pressure of an exponentially decaying shock wave 
AP,=excess pressure at any shock front 
v=specific volume of the fluid at pressure p 
p=density of the fluid (p=1/v) 
E=total energy flow through a spherical surface 
F=energy flux (energy flow per unit area of a spherical surface) 
R=radial distance 
A=radius of the gas bubble 
t=time measured from instant of incidence of the pressure wave 
u=radial particle velocity relative to the unperturbed fluid 
U=shock front propagation velocity 
Co=sound velocity (Co=(dP/dp)so!) 
An=internal energy increment of a unit mass of fluid relative to the initially unperturbed 
state 
AH=enthalpy increment of a unit mass of fluid relative to the initially unperturbed state 
(AH =An+A(pv)) 
h=dissipated portion of the enthalpy increment AH, per unit mass of fluid 
S=entropy per unit mass of fluid 
x=bulk modulus of the fluid («=poCo?) 
6=time constant of initial exponential decay of shock wave 
B(S)=characteristic pressure parameter of the modified adiabatic Tait equation of state 
n=exponent of Tait equation of state 
x=reduced radius (x = R/W!) 
I=impulse delivered—the time integral of the pressure 
+=reduced time defined by r=1/0 
z=reduced time defined by z=t/W! 
Tn= period of nth oscillation, measured between successive pressure peaks 
B,=total energy associated with the nth oscillation. 
