HYDROMAGNETIC FLOW IN A CAVITY WITH RADIATIVELY ACTIVE WALLS

복사벽면으로 구성된 캐비티 내 전자열유체 유동

  • 한조영 (한국항공우주연구원 사업종합관리단 사업기획조정실 사업기획관리담당) ;
  • 채종원 (한국항공우주연구원 위성연구본부 위성기술실 위성 열/추진팀) ;
  • 김정훈 (한국항공우주연구원 위성연구본부 위성기술실 위성 열/추진팀) ;
  • 전형열 (한국항공우주연구원 위성연구본부 위성기술실 위성 열/추진팀)
  • Received : 2010.08.04
  • Accepted : 2010.09.10
  • Published : 2010.09.30

Abstract

Hydromagnetic flow in a cavity under a uniform magnetic field is studied numerically. The cavity is comprised of four radiatively active surfaces. Due to large temperature difference inside a cavity, the radiative interaction between walls is taken into account. The coupled momentum and energy equations are solved by SIMPLER algorithm while the radiant heat exchanges are obtained by the finite volume method for radiation. A Wide range of Grashof numbers is examined as a controlling parameter. Resultant flow and heat transfer characteristics are investigated as well.

Keywords

References

  1. 1979, Seki, M., Kawamura, H. and Sanokawa, K., "Natural convection of mercury in a magnetic field parallel to the gravity," J. Heat Transfer, Vol.101, pp.227-232. https://doi.org/10.1115/1.3450951
  2. 1989, Ozoe, H. and Okada, K., "The effect of the direction of the external magnetic field on the three-dimensional natural convection in a cubical enclosure," Int. J. Heat Mass Trans., Vol.32, pp.1939-1954. https://doi.org/10.1016/0017-9310(89)90163-4
  3. 1995, Rudraiah, N., Barron, R.M., Venkatachalappa, M. and Subbaraya, C.K., "Effect of a magnetic field on free convection in a rectangular enclosure," Int. J. Engng. Sci., Vol.33, pp.1075-1084. https://doi.org/10.1016/0020-7225(94)00120-9
  4. 2008, Kandaswamy, P., Sundari, S.M. and Nithyadevi, N., "Magnetoconvection in an enclosure with partially active vertical walls," Int. J. Heat Mass Trans., Vol.51, pp.1946-1954. https://doi.org/10.1016/j.ijheatmasstransfer.2007.06.025
  5. 2002, Baek, S.W. and Kim, T.Y., "Effects of surface radiation on the unsteady natural convection in a rectangular enclosure," KSAS Int. J., Vol.3, pp.95-104.
  6. 2005, Hinojosa, J.F., Cabanillas, R.E., Alvarez, G. and Estrada, C.E., "Nusselt number for the natural convection and surface thermal radiation in a square tilted open cavity," Int. Comm. in Heat Mass Trans., Vol.32, pp.1184-1192. https://doi.org/10.1016/j.icheatmasstransfer.2005.05.007
  7. 2006, Bouali, H., Mezrhab, A., Amaoui, H. and Bouzidi, M., "Radiation-natural convection heat transfer in an inclined rectangular enclosure," Int. J. Therm. Sci., Vol.45, pp.553-566. https://doi.org/10.1016/j.ijthermalsci.2005.10.001
  8. 2007, Sharma, A.K., Velusamy, K., Balaji, C. and Venkateshan, S.P., "Conjugate turbulent natural convection with surface radiation in air filled rectangular enclosures," Int. J. Heat Mass Trans., Vol.50, pp.625-639. https://doi.org/10.1016/j.ijheatmasstransfer.2006.07.022
  9. 2009, Nouanegue, H.F., Muftuoglu, A. and Bilgen, E., "Heat transfer by natural convection, conduction and radiation in an inclined square enclosure bounded with a solid wall," Int. J. Therm. Sci., Vol.48, pp.871-880. https://doi.org/10.1016/j.ijthermalsci.2008.06.008
  10. 2000, Chamkha, A.J., "Thermal radiation and buoyancy effects on hydromagnetic flow over an accelerating permeable surface with heat source or sink," Int. J. Engng Sci., Vol.38, pp.1699-1712. https://doi.org/10.1016/S0020-7225(99)00134-2
  11. 2002, Seddeek, M.A., "Effects of radiation and variable viscosity on a MHD free convection flow past a semi-infinite flat plate with an aligned magnetic field in the case of unsteady flow," Int. J. Heat Mass Trans., Vol.45, pp.931-935. https://doi.org/10.1016/S0017-9310(01)00189-2
  12. 2002, Ghaly, A.Y., "Radiation effects on a certain MHD free-convection flow," Chaos, Solitons and Fractals, Vol.13, pp.1843-1850. https://doi.org/10.1016/S0960-0779(01)00193-X
  13. 2004, Raptis, A., Perdikis, C. and Takhar, H.S., "Effect of thermal radiation on MHD flow," Applied Math. Comp., Vol.153, pp.645-649. https://doi.org/10.1016/S0096-3003(03)00657-X
  14. 2002, Mahmud, S. and Fraser, R.A., "Analysis of mixed convection-radiation interaction in a vertical channel: entropy generation," Exergy, an Internal Journal, Vol.2, pp.330-339. https://doi.org/10.1016/S1164-0235(02)00075-4
  15. 2009, Han, C.Y., "Hydromagnetic Free Convection of a Radiating Fluid," Int. J. Heat Mass Trans., Vol.52, pp.5895-5908. https://doi.org/10.1016/j.ijheatmasstransfer.2009.08.010
  16. 1980, Patankar. S.V., Numerical Heat Transfer and Fluid Flow, Hemisphere, McGraw-Hill, Washington, D.C.
  17. 1993, Thakur, S. and Shyy, W., "Some implementational issues of convection schemes for finite-volume formulations," Numer. Heat Transfer B, Vol.24, pp.31-55. https://doi.org/10.1080/10407799308955881
  18. 1994, Chai, J.C., Lee, H.S. and Patankar, S.V., "Finite-volume method for radiation heat transfer," J. Thermophys., Vol.8, p.419. https://doi.org/10.2514/3.559
  19. 2009, 한조영, 전형열, 박응식, "자장 방향 변화에 따른 밀폐공간 내 도전성 유체의 거동," 한국전산유체공학회지, 제14권, 제3호, pp.123-130.
  20. 2000, Han, C.Y. and Baek, S.W., "The effects of radiation on natural convection in a rectangular enclosure divided by two partitions," Numer. Heat Transfer A, Vol.37, pp.249-270. https://doi.org/10.1080/104077800274280
  21. 1985, Acharya, S. and Goldstein, R.J., "Natural convection in an externally heated vertical or inclined square box containing internal energy sources," J. Heat Transfer, Vol.107, pp.855-866. https://doi.org/10.1115/1.3247514