Numerical Heat Transfer Analysis applying Coupled Electromagnetic Characteristics and Convection Boundary Condition

전자계 결합특성 및 대류 경계조건을 적용한 수치 해석적 열전달 해석

  • Published : 2009.09.30

Abstract

The heat transfer analysis applying finite element method has been carried out. Particularly, the convection boundary condition associated with the mixed boundary condition is numerically formulated by the Galerkin method analogous to the magnetic field problem. Also, the coupled electromagnet-thermal field analysis by the proposed heat transfer coefficient computation algorithm is executed to enhance the accuracy of solutions. Finally, the validity of the proposed results is verified by comparison with the measured ones.

본 논문에서는 정열계 해석을 위해 유한요소법(F.E.M)을 이용한 열전달 해석 기법에 대하여 다루고 있다. 특히, 열전달의 주요 쟁점인 혼합 경계조건을 띄는 대류 경계조건을 자계 문제와 비교하여 갤러킨법(Galerkin Method)으로 정식화하였다. 그리고 해의 신뢰성을 확보하기 위해 자계 해석을 통해 열원이 되는 손실을 구한 후, 반복적 알고리즘을 통해 에너지 평형 방정식을 만족하는 열전달 계수를 산정하여 열전달 문제를 고려하는 자계-열계 결합 해석을 하였다. 마지막으로, 측정치와 비교하여 제안된 방법의 효용성을 증명하였다.

Keywords

References

  1. Ghazanfarian, J, Nobari, M.R.H, "A numericalstudy of convective heat transfer from a rotatingcylinder with cross-flow oscillation", International journal of heat and mass transfer, vol.52, No.23-24,pp.5402-5411, Jun. 2009 https://doi.org/10.1016/j.ijheatmasstransfer.2009.06.036
  2. Andreas Alexandrou, Principles of FluidMechanics, Prentice Hall, 2001
  3. Ait-taleb, T, Abdelbaki, A, Zrikem, Z, “Numericalsimulation of coupled heat transfers by conduction,natural convection and radiation in hollow structuresheated from below or above”, International journal of thermal sciences, vol.47, No.4, pp.378-387, Apr. 2008 https://doi.org/10.1016/j.ijthermalsci.2007.01.035
  4. S. W. Kim, H. H. Kim, S. C. Hahn, “Coupledfinite element analytic technique for prediction oftemperature rise in power apparatus”, IEEE Trans Magnetics, Vol.38, No.2, pp.921-924, March 2002. https://doi.org/10.1109/20.996237
  5. Gosz, Michael R, Finite Element Method(Applications in Solids, Structures, And HeatTransfer), CRC Pr, 2005
  6. 이경행, “초고압 전력기기의 기술 동향”, 전기학회지, 제46권 제8호, pp.23-30, 10월 1997
  7. Daryl L. Logan, A First Course in the FiniteElement Method, Thomson Learning, 2007
  8. H. Sadakuni, K. Sasamori, H. Hama, K. Inami,"Insulation and Current Carrying Design for GIS",JIEE, pp.33-42, SP-96-12, 1996
  9. W. Z Black, B. A. Bush, R. T. Coneybeer,"Steady-state and Transient Ampacity of Bus bar",IEEE Trans. on Power Delivery, Vol. 9, No. 4,pp1822-1829, October 1994 https://doi.org/10.1109/61.329515
  10. Gregory Nellis, Sandy Klein, Sanford Klein,Heat Transfer, Cambridge University Press, 2008