377 



NOTATION 



"x' ''y' <^z Cosines of the angles between the upward vertical and the X, Y, 



Z axes, respectively 



D Depth of water 



D' Hydrostatic pressure, including atmospheric pressure, expressed 



as an equivalent depth of water 



g Acceleration due to gravity 



9x< 9y' 9z Components of the acceleration due to gravity in the directions 

 of the X, Y, Z axes; g^ = - gc^, 9y = - ffCy. 9z = - d^z 

 H Vertical component of Q 



/ Impulse per unit area or jpdt 



/o.2 Impulse per unit area due to the peak of pressure included be- 

 tween the instants at which p has one-fifth of Its intervening 

 maximum value 



M, AT^, Ny, N^ Functions of the distances from certain surfaces, varying from 

 case to case 



p Pressure in the water 



Pg Hydrostatic pressure, including atmospheric pressure, at the 

 level at which a charge Is detonated 



p^ Hydrostatic pressure p,, expressed In atmospheres 



Pg Pressure of the gas in a gas globe 



Q Linear displacement of the center of the gas globe from the 



time of detonation until the time of the first peak 

 recompression 



R Radius of the gas globe 



Ro Radius of gas globe when its pressure equals hydrostatic pres- 



sure at the level of its center 



R2 Maximum radius of the gas globe 



r Distance from the center of the gas globe to a point in the 

 water 



S Horizontal component of Q 



Ti Period of first oscillation, up to first peak recompression 



Tjo Value of Tj at the same level if no bounding surface is near 



t Time 



W Weight of charge 



X, Y, Z Coordinates of the center of the gas globe 



X(,, Yq, Zg Values of X, Y, Z at Instant of detonation of charge 



Zq a dlmensionless coefficient referring to depth below the sur- 

 face and occurring only in Figure 5 



y Ratio of the specific heat of the gas in the gas globe at con- 

 stant pressure to its specific heat at constant volume 



