กก3/6/2003
1.      
Flow control equations:
  
Axis-symmetric Euler equations + one species equation.
2. Numerical method: CESE method
3.         
Computational Domain: [0, 56.9 ft]    
x [-30, 30 ft]
   
(Because of symmetry, only up half of the domain is calculated)
4.        
Mesh: 6,400,000 cells
   
 (Inside and near thrust tube,    
the mesh is uniform; the others are stretching)
5.        
Boundary conditions:
   
--    
On solid wall and symmetric line, reflective boundary condition is used.
   
-- On outlet and open surface, non-reflective boundary condition is used.
6.        
Flow conditions:
   
Chamber temperature T = 510 R;   Chamber    
pressure P = 15.0 Psia;
   
Equivalence ratio F  
= 1.3;    
Freq. = 60 Hz
   
C-J detonation velocity VC-J = 6200 ft/sec.;    
Pressure jump P2/P1 = 16.667.
  
Diameter of tube = 5 inches, and its length =26.138inches.
7.   
Pressure contour:
 At time 40.15 ms
At time 99.36 ms
Movie 
(up    
to 6 cycles, 100ms):  
(17 MB GIF format)
8.      
Domain and checking  points distribution:
   

9. Pressure history (up to 6 cycles, 100ms) :
Pressure history on the wall at the dead end of the thrust tube.
| 5 ft | 10 ft | 15 ft | 20 ft | 25 ft | 30 ft | 35 ft | 40 ft | 45 ft | 50 ft | |
| 0o | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | 
| 3o | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | 
| 6o | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | 
| 9o | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | 
| 12o | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | 
| 15o | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | 
| 18o | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | 
| 21o | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | 
| 24o | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | 
| 27o | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | 
| 30o | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | 
| 33o | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | 
| 36o | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | 
| 39o | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | -- | 
| 42o | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | -- | 
| 45o | P-t | P-t | P-t | P-t | P-t | P-t | P-t | P-t | -- | -- |