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 NON-EQUILIBRIUM
DEFINITIONS
NUMBER DENSITY
NUMBER OF PARTICLES PER UNIT VOLUME IN GEOMETRIC SPACE
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

3. RADIATIVE HEAT TRANSFER
RADIATIVE NON-EQUILIBRIUM
NORMALIZED DISTRIBUTION FUNCTION
COMBINE
WHERE DENOTES THE PROBABILITY OF A PARTICLE TO BE IN
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

4. RADIATIVE HEAT TRANSFER
RADIATIVE NON-EQUILIBRIUM
PARTICLE PROPERTY,
AVERAGE PARTICLE PROPERTY,
FOR AN ASSEMBLY OF N PARTICLES
APPLY FOREGOING DEFINITIONS TO PHOTONS
PHOTON PROPERTIES (nl= C, n:frequency)
VELOCITY,
ENERGY,
MOMENTUM,
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

5. RADIATIVE HEAT TRANSFER
RADIATIVE NON-EQUILIBRIUM
UNIT VECTOR ALONG DIRECTION OF PHOTON PROPAGATION
THE COMPONENTS OF : DIRECTION COSINES OF THE DIRECTION
NORMALIZED DISTRIBUTION FUNCTION FOR PHOTONS,
IN RADIATION, MONOCHROMATIC INTENSITY IS MORE CONVENIENT THAN THE DISTRIBUTION FUNCTION.
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

6. RADIATIVE HEAT TRANSFER
RADIATIVE NON-EQUILIBRIUM
MONOCHROMATIC INTENSITY IN A DIRECTION
RATE OF PHOTON ENERGY FLOW PER UNIT SOLID ANGLE, FREQUENCY, AND AREA NORMAL TO THE DIRECTION
: PHOTON VELOCITY VECTOR
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

7. RADIATIVE HEAT TRANSFER
RADIATIVE NON-EQUILIBRIUM
MONOCHROMATIC PROPERTIES OF RADIATION
MONOCHROMATIC INTERNAL ENERGY DENSITY,
MONOCHROMATIC HEAT FLUX VECTOR,
MONOCHROMATIC HEAT FLUX,
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

8. RADIATIVE HEAT TRANSFER
RADIATIVE NON-EQUILIBRIUM
MONOCHROMATIC RADIATION STRESS,
PHOTON MOMENTUM FLOW
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

9. RADIATIVE HEAT TRANSFER
RADIATIVE NON-EQUILIBRIUM
THERMOMECHANICAL PROPERTIES OF RADIATION
INTERNAL ENERGY DENSITY
HEAT FLUX VECTOR
RADIATIVE STRESS,
FOR ISOTROPIC RADIATION
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

10. RADIATIVE HEAT TRANSFER
RADIATIVE NON-EQUILIBRIUM
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

11. RADIATIVE HEAT TRANSFER
RADIATIVE NON-EQUILIBRIUM
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

12. RADIATIVE HEAT TRANSFER
RADIATIVE NON-EQUILIBRIUM
ORDINARY (SPONTANEOUS) EMISSION IS THE RESULT OF THE EXCITED STATE OF THE GAS BEING UNSTABLE AND DECAYING SPONTANEOUSLY TO A STATE OF LOWER ENERGY.
STIMULATED (INDUCED) EMISSION CAUSED BY THE PRESENCE OF THE RADIATION FIELD
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

13. RADIATIVE HEAT TRANSFER
RADIATIVE NON-EQUILIBRIUM
BALANCE OF PHOTON ENERGY
– TRANSFER EQUATION (CH.14)
CONSIDER A CV FIXED IN SPACE
DEFINE
INTRODUCE
: AVERAGE PHOTON TRAVEL TIME BEFORE ABSORPTION
: PHOTON MEAN FREE PATH
: ABSORPTION COEFFICIENT
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

14. RADIATIVE HEAT TRANSFER
RADIATIVE NON-EQUILIBRIUM
THEN, NEGLECTING SCATTERING, THE TRANSFER EQ. BECOMES
UNDER RADIATIVE EQUILIBRIUM (UNIFORM IN SPACE AND CONSTANT IN TIME)
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

15. RADIATIVE HEAT TRANSFER
RADIATIVE NON-EQUILIBRIUM
Vincenti, W.G. and Kruger, C.H. Introduction to Physical Gas Dynamics,
Krieger Publishing Company(1965)
EQUILIBRIUM RADIATION FIELD DEPENDS ONLY ON THE TEMPERATURE OF THE SYSTEM (P.446) V&K
WHERE
, PLANCK DISTRIBUTION
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

16. RADIATIVE HEAT TRANSFER
RADIATIVE NON-EQUILIBRIUM
THEN THE TRANSFER EQUATION BECOMES
CONTRIBUTION OF THE RATE TERM IS SMALL BECAUSE IT INVOLVES FACTOR, THEN
THE INTENSITY IN A GIVEN DIRECTION IN A NON-ATTENUATING AND NON-EMITTING MEDIUM WITH CONSTANT PROPERTIES IS INDEPENDENT OF POSITION ALONG THAT DIRECTION.
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

17. RADIATIVE HEAT TRANSFER
RADIATIVE NON-EQUILIBRIUM
RADIATION AFFECTED THERMOMECHANICS FOR ANY OPTICAL THICKNESS
THE MAJOR CONTRIBUTION OF RADIATION TO THERMOMECHANICS IS THROUGH HEAT FLUX,
NOTE THAT AND INVOLVE A FACTOR
INTEGRATE TRANSFER EQUATION OVER AND
WHICH GIVES THE RADIATIVE CONSTITUTION.
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

18. RADIATIVE HEAT TRANSFER
RADIATIVE NON-EQUILIBRIUM
RADIATION AFFECTED THERMOMECHANICS FOR ANY OPTICAL THICKNESS
IT ALSO HOLDS FOR THE CASE INCLUDING ISOTROPIC SCATTERING OR ANISOTROPIC SCATTERING WITH THE SCATTERING INDEPENDENT OF INCIDENT DIRETION. (S&H,P.698, Ver.3)
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

19. RADIATIVE HEAT TRANSFER
RADIATIVE NON-EQUILIBRIUM
THEN, THE RADIATION AFFECTED THERMOMECHANICS FOR AN ARBITRARY OPTICAL THICKNESS BECOMES
WITH
GOVERNING EQUATION
SIMULTANEOUSLY NEED TO SOLVE
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

20. RADIATIVE HEAT TRANSFER
RADIATIVE NON-EQUILIBRIUM
THERMO-OPTICS
RETURN TO TRANSFER EQUATION
NOTE
IN 1-D CASE
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

21. RADIATIVE HEAT TRANSFER
RADIATIVE NON-EQUILIBRIUM
ALONG AN OPTICAL RAY
INTEGRATE ALONG S
IF ARE CONSTANT,
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER

22. RADIATIVE HEAT TRANSFER
RADIATIVE NON-EQUILIBRIUM
OPTICAL THICKNESS OF GAS
BETWEEN S’ AND S
THE OPTICAL THICKNESS IS A MEASURE OF THE ABILITY OF A GIVEN PATH LENGTH OF GAS TO ATTENUATE RADIATION.
PROPULSION AND COMBUSTION LABORATORY
RADIATIVE HEAT TRANSFER