1. R ADIATION AND C OMBUSTION P HENOMENA P ROF. S EUNG W OOK B AEK D EPARTMENT OF A EROSPACE E NGINEERING, KAIST, IN KOREA R OOM : Building N7-2 #3304 T ELEPHONE : 3714 Cellphone: 010 – 5302 - 5934 swbaek@kaist.ac.kr http://procom.kaist.ac.kr T A : Bonchan Gu R OOM : Building N7-2 # 3315 T ELEPHONE : 3754 Cellphone: 010 – 3823 - 7775 ryan.bonchan@kaist.ac.kr P ROF. S EUNG W OOK B AEK D EPARTMENT OF A EROSPACE E NGINEERING, KAIST, IN KOREA R OOM : Building N7-2 #3304 T ELEPHONE : 3714 Cellphone: 010 – 5302 - 5934 swbaek@kaist.ac.kr http://procom.kaist.ac.kr T A : Bonchan Gu R OOM : Building N7-2 # 3315 T ELEPHONE : 3754 Cellphone: 010 – 3823 - 7775 ryan.bonchan@kaist.ac.kr

2. R ADIATIVE H EAT T RANSFER P ROPULSION AND C OMBUSTION L ABORATORY G AS R ADIATION THIS PROBLEM HAS SOME OF THE FEATURES OF A FLAME IN A PREMIXED COMBUSTABLE GAS STREAM. E XAMPLE ww

3. R ADIATIVE H EAT T RANSFER P ROPULSION AND C OMBUSTION L ABORATORY G AS R ADIATION L INEARIZE F OR THIN GAS

4. R ADIATIVE H EAT T RANSFER P ROPULSION AND C OMBUSTION L ABORATORY G AS R ADIATION I NTRODUCE

5. R ADIATIVE H EAT T RANSFER P ROPULSION AND C OMBUSTION L ABORATORY G AS R ADIATION F OR, S HOULD A PPROACH R ATHER THAN ! W HAT IS W RONG?

6. R ADIATIVE H EAT T RANSFER P ROPULSION AND C OMBUSTION L ABORATORY G AS R ADIATION RADIATION AFFECTED STEADY BUOYANCY DRIVEN FLOW IN A VERTICAL SLOT E XAMPLE B ASIC A SSUMPTION INCOMPRESSIBLE FLOW EXCEPT FOR BUOYANCY (BOUSSINESQ APPROXIMATION: FOR VERY SMALL DENSITY CHANGE)

7. R ADIATIVE H EAT T RANSFER P ROPULSION AND C OMBUSTION L ABORATORY G AS R ADIATION I F THE T EMPERATURE WERE TO A PPROACH A U NIFORM V ALUE, S AY, THEN C ONVECTION W OULD S TOP. M ASS (P ARALLEL F LOW IN x ) X- M OMENTUM

8. R ADIATIVE H EAT T RANSFER P ROPULSION AND C OMBUSTION L ABORATORY G AS R ADIATION IS THE H YDROSTATIC P RESSURE C ORRESPONDING TO D ENSITY AND T EMPERATURE. M OTION H AS N O E FFECT ON T EMPERATURE D ISTRIBUTION ! (S OLVED B EFORE ) E NERGY (T HERMAL ) L ET F OR BUOYANCY DRIVEN FLOW, THEN

9. R ADIATIVE H EAT T RANSFER P ROPULSION AND C OMBUSTION L ABORATORY G AS R ADIATION F OR M OST OF N ATURAL C ONVECTION P ROBLEM, THE D ENSITY V ARIATION IS M AINLY C AUSED BY THE T HERAMAL E XPANSION OF THE F LUID. C ONSTITUTION M OTION IS G OVERNED BY F OR C OMBINED (F ORCED B UOYANCY D RIVEN ) F LOWS, THE P RESSURE T ERM B ECOMES A PPRECIABLE.

10. R ADIATIVE H EAT T RANSFER P ROPULSION AND C OMBUSTION L ABORATORY G AS R ADIATION T HEN I NTRODUCE, COEFFICIENT OF THERMAL EXPANSION A ND F ROM THE P REVIOUS R ESULTS ON L INEARIZED T HIN G AS BETWEEN T WO P LATES

11. R ADIATIVE H EAT T RANSFER P ROPULSION AND C OMBUSTION L ABORATORY G AS R ADIATION R EARRANGE S LIDE 22 IN F ILE 7

12. R ADIATIVE H EAT T RANSFER P ROPULSION AND C OMBUSTION L ABORATORY G AS R ADIATION I NTEGRATE T WICE

13. R ADIATIVE H EAT T RANSFER P ROPULSION AND C OMBUSTION L ABORATORY G AS R ADIATION BC ’S F ROM W ITH

14. R ADIATIVE H EAT T RANSFER P ROPULSION AND C OMBUSTION L ABORATORY G AS R ADIATION OR I N T ERMS OF OR

15. R ADIATIVE H EAT T RANSFER P ROPULSION AND C OMBUSTION L ABORATORY G AS R ADIATION F INALLY, THE C ONDITION OF N O N ET F LOW, G IVES THE T EMPERATURE WHICH IS THE B ASE FOR B UOYANCY.

16. R ADIATIVE H EAT T RANSFER P ROPULSION AND C OMBUSTION L ABORATORY G AS R ADIATION WHICH G IVES W HAT H APPENS AS OR ? HW#5 [REF.1] P.734 #14-1, 14-4

17. 14-1. A slab of non-scattering solid material has a gray absorption coefficient of and refractive index. It is 2 cm thick and has an approximately linear temperature distri- bution within it as established by thermal conduction. What is the emitted intensity normal to the slab? What average slab temperature would give the same emitted normal intensity? 14-4. A non-scattering stagnant gray medium with absorption coefficient is contained between black parallel plates 10 cm apart as shown (assume constant density and ). Plot the temperature distribution T(z) (neglect thermal conduction). What is the net energy flux being transferred by radiation from the lower to the upper plate? If the plates are gray with ε 1 = 0.8 and ε 2 = 0.4, what is the energy flux being transferred?