대한기계학회:학술대회논문집 (Proceedings of the KSME Conference)

대한기계학회 (The Korean Society of Mechanical Engineers)
권호 표지

유한체적법을 통한 구면 좌표계에서의 볼츠만 수송방정식의 해석

Analysis of Boltzmann transport equation with Finite Volume Method at Spherical coordinate

  • 오혁근 (서울대학교 대학원 기계항공공학부) ;
  • 진재식 (서울대학교 마이크로 열시스템 연구센터) ;
  • 이준식 (서울대학교 기계항공공학부)
  • 발행 : 2008.11.05
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초록

A "finite volume method" is proposed to predict heat transport in a spherical enclosure at micro/nanoscale with the Boltzmann transport equation (BTE). The gray version of the BTE with the relaxation time approximation has been applied. Pointing out similarity between radiative transfer equation (RTE) and BTE, the mapping process in RTE is adopted to treat the angular derivative term and linear algebraic discretization equation is derived by using the established method which is used in 2-D BTE in cartesian coordinates. The simulation results are compared to exact solution to RTE for various acoustic thicknesses and ratio of radii. The comparison shows that this method is logical and accurate, and it is possible to easily adopt various models in spherical BTE.

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