96 THE DETONATION PROCESS 



Combining this relation with (3.17) gives 



(3.18) ui 



u = 



/R - r\ y - I /R - r\ 



y -\-i\ t J' 7 + 



The particle velocity u will be zero for all values of r/t less than 



C) 



7 + 1 



Ui 



The particle velocity thus falls off linearly from its initial value, reach- 

 ing zero halfway between the front and the starting point. The pres- 

 sure distribution is also readily found from the adiabatic relation and 

 Eq. (3.18), giving 



(3.19) 



P 

 Pi 



1 



I7 - li^ 



ci 7 + 1 t 



T-['-'-^nrf 



The particle velocity and pressure distribution for 7 = 1.4 are plotted 

 in Fig. 3.3 (dashed curve). Initially Ui = D/(y + 1), and an arbitrary 



150 



TAYLOR 



IDEAL 6AS{y«l.4) 



§ 100 



CD 



Q 



2000 



a. 



50 



0.4 0.6 0.8 1.0 



Fig. 3.3 Calculated pressure and particle velocity of a plane detonation wave. 



