1. NUMERICAL SOLUTION FOR THE RADIATIVE HEAT DISTRIBUTION IN A CYLINDRICAL ENCLOSURE Cosmin Dan, Gilbert De Mey, Erik Dick University of Ghent, Belgium

2. MIXDES 20032 Overview Introduction The net radiation method The configuration factors computation Results Conclusions

3. MIXDES 20033 Introduction Motivation

4. MIXDES 20034 Introduction

5. MIXDES 20035 Introduction Assumptions: –Cylindrical enclosure made of aluminium –Very well polished surfaces –Known temperature distribution –Known emissivity of the inner walls –The surfaces are diffuse gray –The cylinder is divided in small finite areas (ring shape)

6. MIXDES 20036 The cavity is divided in small areas in which: –The surfaces are isothermal –The surfaces are diffuse emitters and reflectors –The surfaces are gray The net radiation method

7. MIXDES 20037 Two energy balance equations The net radiation method -Gaussian elimination -configuration factors computation

8. MIXDES 20038 The net radiation method

9. MIXDES 20039 The configuration factors

10. MIXDES 200310 The configuration factors

11. MIXDES 200311 Results

12. MIXDES 200312 Results

13. MIXDES 200313 Results

14. MIXDES 200314 Results

15. MIXDES 200315 Results

16. MIXDES 200316 Results

17. MIXDES 200317 Results

18. MIXDES 200318 Conclusions A software was developed in order to calculate the heat flow distribution along cylinder wall was realised The results obtained using the numerical solution were validated against an analytical case from the literature ( R. Siegel, J. R. Howell, “Thermal Radiation Heat Transfer”, 1992, pp. 428-430, pp. 464-467, pp. 477 ) In the future work the obtained results are to be used together with experimental data

19. MIXDES 200319 Thank You