RADIATION AND COMBUSTION PHENOMENA 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 : Jonghan Won ROOM: Building N7-2 # 3315 TELEPHONE : 3754 Cellphone : 010 - 4705 - 4349 won1402@kaist.ac.kr

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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