COMBUSTION TA : Bonchan Gu PROF. SEUNG WOOK BAEK DEPARTMENT OF AEROSPACE ENGINEERING, KAIST, IN KOREA ROOM: Building N7-2 #3304 TELEPHONE : 3714 Cellphone : 010 – 5302 - 5934 swbaek@kaist.ac.kr http://procom.kaist.ac.kr TA : Bonchan Gu ROOM: Building N7-2 #3315 TELEPHONE : 3754 Cellphone : 010 – 3823 - 7775 ryan.bonchan@kaist.ac.kr

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

COMBUSTION ENGINEERING OR REACTION RATE FOR JET DIFFUSION FLAME PROPULSION AND COMBUSTION LABORATORY COMBUSTION ENGINEERING

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

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

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

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

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

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

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

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

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

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

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

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