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

2. RADIATIVE HEAT TRANSFER
RADIATIVE BOUNDARIES FOR ANY OPTICAL THICKNESS
RECALL
··· (1)
AND
AND CONSIDER
WHICH MAY BE REARRANGED AS
··· (2)
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

3. Flow Regime
*From G.A. Bird

4. RADIATIVE HEAT TRANSFER
CONSIDER THE RADIATIVE ENERGY BALANCE ON THE WALL FROM THE GAS SIDE !
SOLVE FROM 1 & 2
··· (3)
··· (4)
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

5. RADIATIVE HEAT TRANSFER
··· (1)
ALSO, FOR OPAQUE SURFACES
··· (5)
··· (6)
ELIMINATE BETWEEN (1) & (5)
··· (7)
ELIMINATE BETWEEN (1) & (6)
··· (8)
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

6. RADIATIVE HEAT TRANSFER
··· (3)
··· (4)
THEN
··· (7)
··· (8)
EQUATE (3) TO (7) AND (4) TO (8)
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

7. RADIATIVE HEAT TRANSFER
NOTE AND
THEN
··· (9)
··· (10)
IN THE ABSENCE OF CONDUCTION, THERE EXISTS A “TEMPERATURE JUMP” ON BOUNDARIES,
AND
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

8. RADIATIVE HEAT TRANSFER
FOR MIRROR BOUNDARIES (PERFECTLY REFLECTING BOUNDARIES)
··· (11)
HOME WORK
SHOW FOR (T,J) FORMULATION THAT, IN TERMS OF J,
··· (12)
··· (13)
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

9. RADIATIVE HEAT TRANSFER
FOR MIRROR BOUNDARIES
··· (14)
EXAMPLE
STEADY PURE RADIATION (RADIATIVE EQUILIBRIUM) BETWEEN TWO VERTICAL PLATES
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

10. RADIATIVE HEAT TRANSFER
FROM RADIATIVE ENERGY
THEN RADIATIVE MOMENTUM BECOMES ④ OR
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

11. RADIATIVE HEAT TRANSFER
··· (9)
··· (10)
INTEGRATE OVER
··· (15)
FROM (9) AND (10), IN VIEW OF
SUBTRACT
··· (16)
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

12. RADIATIVE HEAT TRANSFER
REARRANGE (15) WITH (16)
WHICH GIVES
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

13. RADIATIVE HEAT TRANSFER
EXAMPLE
THERMAL BALANCE RAIDATIVE BALANCE
··· (1)
··· (2)
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

14. RADIATIVE HEAT TRANSFER
··· (1)
USE, LINEARIZE
··· (3)
INTRODUCE , ,
BOLTZMANN NUMBER
ELIMINATE dT/dx BETWEEN (1) AND (3)
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

15. RADIATIVE HEAT TRANSFER
LET
ONLY NEGATIVE ROOT IS PHYSICALLY MEANINGFUL !
··· (4)
WALL BOUNDARY CONDITION
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

16. RADIATIVE HEAT TRANSFER
··· (4)
INTRODUCE ,LINEARIZE AND NONDIMENSIONALIZE
··· (5)
INSERT (4) INTO (5)
WHICH GIVES
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

17. RADIATIVE HEAT TRANSFER
··· (1)
THEN
··· (6)
FROM (1), THERMAL ENERGY
··· (7)
AS , ,
··· (8)
FROM (7) AND (8)
··· (9) OR
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

18. RADIATIVE HEAT TRANSFER
(6)
(9)
INSERT (6) INTO (9)
··· (10)
FOR THE TEMPERATURE JUMP, LET
··· (11)
REARRANGE
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

19. RADIATIVE HEAT TRANSFER
··· (10)
INVERT FOR DIMENSIONLESS JUMP
··· (12)
IN TERMS OF (12) , REARRANGE (10)
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER