1. COMBUSTION TA : Bonchan Gu PROF. SEUNG WOOK BAEK
DEPARTMENT OF AEROSPACE ENGINEERING, KAIST, IN KOREA
ROOM: Building N7-2 #3304
TELEPHONE : 3714
Cellphone : 010 –
TA : Bonchan Gu
ROOM: Building N7-2 #3315
TELEPHONE : 3754
Cellphone : 010 –

2. THE FLAME AT THE MOUTH OF A TUBE (Burke-Schumann PROBLEM)
ONE STEP CHEMICAL REACTION
PROPULSION AND COMBUSTION LABORATORY
COMBUSTION ENGINEERING

3. COMBUSTION ENGINEERINGOR
REACTION RATE
FOR JET DIFFUSION FLAME
PROPULSION AND COMBUSTION LABORATORY
COMBUSTION ENGINEERING

4. COMBUSTION ENGINEERING
ASSUMPTION
(1) (MASS AVERAGE VELOCITY ALWAYS IN Z-DIRECTION)
(2) MASS FLOW
(3) THROUGHOUT DUCT
(4) AXIAL DIFFUSION NEGLIGIBLE COMPARED TO RADIAL DIFFUSION I.E.
PROPULSION AND COMBUSTION LABORATORY
COMBUSTION ENGINEERING

5. COMBUSTION ENGINEERING
FORMULATION
COUPLING FUNCTION
(1)
NOW
PROPULSION AND COMBUSTION LABORATORY
COMBUSTION ENGINEERING

6. COMBUSTION ENGINEERING
LAPLACIAN FOR CYLINDRICAL COORDINATE
NEGLECTED
AND
BOUNDARY CONDITION , ,
PROPULSION AND COMBUSTION LABORATORY
COMBUSTION ENGINEERING

7. COMBUSTION ENGINEERING
NO DIFFUSION INTO WALL OF OUTER TUBE AT
SYMMETRIC CONDITION AT
DIMENSIONLESS COORDINATES
LET
PROPULSION AND COMBUSTION LABORATORY
COMBUSTION ENGINEERING

8. COMBUSTION ENGINEERING
LET
REMEMBER QUALITATIVE ANALYSIS FOR JET DIFFUSION FLAME
LET
PROPULSION AND COMBUSTION LABORATORY
COMBUSTION ENGINEERING

9. COMBUSTION ENGINEERING
THE PROBLEM
(2) AT AT
PROPULSION AND COMBUSTION LABORATORY
COMBUSTION ENGINEERING

10. COMBUSTION ENGINEERING
SOLUTION
(1) SEPARATION OF VARIABLES
(2) BOUNDARY CONDITION.
(3) BOUNDEDNESS OF
(4) RELATIONS BETWEEN ,
(3)
ARE SUCCESIVE ROOTS OF
PROPULSION AND COMBUSTION LABORATORY
COMBUSTION ENGINEERING

11. COMBUSTION ENGINEERING
THE FLAME FRONT IS DETERMINED BY
CH4 - AIR
PROPULSION AND COMBUSTION LABORATORY
COMBUSTION ENGINEERING

12. COMBUSTION ENGINEERING
FLAME HEIGHT
SOLVING FOR
WITH
(OVERVENTILATED FLAME)
(UNDERVENTILATED FLAME)
BECOMES VERY SMALL FOR n > 1.
PROPULSION AND COMBUSTION LABORATORY
COMBUSTION ENGINEERING

13. COMBUSTION ENGINEERING
FLAME SHAPE AND HEIGHTS
ASSUME THAT THE ENTIRE REACTION OCCURS AT THE THIN FLAME SURFACE
SEPARATES REGION WITH FUEL ONLY FROM REGION WITH OXIDIZER ONLY
PROPULSION AND COMBUSTION LABORATORY
COMBUSTION ENGINEERING

14. COMBUSTION ENGINEERING
(SINCE )
IS A CONTINUOUS FUNCTION ON FLAME FRONT.
ON THE FLAME FRONT
PROPULSION AND COMBUSTION LABORATORY
COMBUSTION ENGINEERING

15. COMBUSTION ENGINEERING
APPROXIMATION : KEEP FIRST TERM ONLY
THEN FOR = 0, = 1:
UNDERVENTILATED FLAME
PROPULSION AND COMBUSTION LABORATORY
COMBUSTION ENGINEERING