Obstructed View Factor Calculations for Multiple Obstructions in Closed Cavities

[+] Author and Article Information
Fiaz Mahmood

School of Nuclear Science and Technology, Xian Jiaotong University, No.28, Xianning West Road, Xi'an, Shaanxi, 710049, China

Huasi Hu

School of Nuclear Science and Technology, Xian Jiaotong University, No.28, Xianning West Road, Xi'an, Shaanxi, 710049, China

1Corresponding author.

ASME doi:10.1115/1.4041563 History: Received October 29, 2017; Revised September 13, 2018


The ICF program has been mainly concentrating on the indirect drive approach for the last three decades, due to relaxed requirements on driver-beam uniformity and reduced sensitivity to hydrodynamic instabilities. The optimal designs are important for maximum conversion of driving energy to x-rays and finally symmetrical irradiation of the capsule. The view factor evaluation is an important parameter providing significant radiation heat transport information in specific geometries. The present study is aimed at the view factor calculations for closed cavities. The view factor calculations include the case of energy transfer from one infinitesimal surface elements of the enclosure to other similar infinitesimal surface elements of the cavity. Similarly, the obstructed view factor is also calculated when multiple obstructions are present in the cavity. Two distinct computer programs are developed by programming in FORTRAN-90 to evaluate unobstructed and obstructed view factors for a square geometry. The calculations are based on the crossed strings method, which is more reliable for simple geometries. The shadow effect method is used for the obstructed view factor calculations. The results of the developed programs are benchmarked using the summation rule. In the case of no obstacles in the cavity, view factor calculations solely obey the summation rule. However, in the presence of obstacles in the cavity, obstructed view factor calculations showed the acceptable difference in comparison with the summation rule. Key Words: ICF, View Factor, Crossed Strings Method, Obstructed, Shadow Effect

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