Korean Journal of Air-Conditioning and Refrigeration Engineering (설비공학논문집)

The Society of Air-Conditioning and Refrigerating Engineers of Korea (대한설비공학회)
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A theoretical analysis on the inviscid stagnation-flow solidification problem

비점성 정체 유동 응고 문제에 대한 이론적 해석

  • 유주식 (안동대학교 기계공학교육과)
  • Published : 2000.01.01
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Abstract

This study investigates the problem of phase change from liquid to solid in the inviscid stagnation flow. The solution of dimensionless governing equations is determined by the three dimensionless parameters of (temperature ratio/conductivity ratio), Stefan number, and diffusi-vity ratio. The solution at the initial stage of freezing is obtained by expanding it in powers of time, and the final equilibrium state is determined from the steady-state governing equations. The equilibrium state is dependent on (temperature ratio/conductivity ratio), but is independent of Stefan number and diffusivity ratio. The effect of fluid flow on the pure conduction problem can be clearly seen from the solution of the initial stage and the final equilibrium state, and the characteristics of the solidification process for all the dimensionless parameters are elucidated.

Keywords

References

  1. Conduction of heat in solids(2nd ed.) Carslaw, H. S.;Jaeger, J. C.
  2. App. Mech. Rev. v.18 Heat conduction with freezing or melting Muehlbauer, J. C.;Sunderland, J. E.
  3. Int. J. Heat and Mass Transfer v.10 Freezing of fluids in forced flow Beaubouef, R. T.;Chapman, A. J.
  4. Int. J. Heat and Mass Transfer v.19 The growth and decay of a frozen layer in forced flow Epstein, M.
  5. J. Heat Transfer v.99 Analysis of melting in the presence of natural convection in the melt region Sparrow, E. M.;Patankar, S. V.;Ramadhyani, S.
  6. Int. J. Heat and Mass Transfer v.29 Moving boundary problem: heat conduction in the solid phase of a phase-change material during melting driven by natural convection in the liquid Benard, C.;Gobin, D.;Zanoli, A.
  7. Int. J. Heat and Fluid Flow v.12 Effect of fluid flow induced by a rotating disk on the freezing of fluid Yoo, J. -S
  8. Numerical Heat Transfer Part A v.31 Unsteady heat transfer form a rotating disk with solidification Yoo, J. -S
  9. 공기조화 · 냉동공학 논문집 v.8 no.3 von-Karman 회전 유동 하에서의 물의 결빙 유주식
  10. J. Heat Transfer v.81 Heat transfer from a rotating disk to fluids of any Prandtl number Sparrow, E. M.;Gregg, J. L.
  11. J. Heat Transfer v.83 The influence of Prandtl number on the heat transfer from rotating nonisothermal disks and cones Hartnett, J. P.;Deland, E. C.
  12. Int. J. Heat Mass Transfer v.5 Unsteady-state heat and mass transfer in the rotating-disk-revolving-fluid system Olander, D. R.
  13. J. Heat Transfer v.91 Unsteady heat transfer from a rotating disk Homsy, G. M.;Hudson, J. L.
  14. Chem. Eng. Sci. v.47 Deformation and solidification of a droplet on a cold substrate Watanabe, T.;Kuribayashi, I.;Honda, T.;Kanzawa, A.
  15. J. Phys. D: Appl. Phys. v.26 Numerical simulation of substrate impact and freezing of droplets in plasma spray processes Liu, H.;Lavernia, E. J.;Rangel, R. H.
  16. Numerical Heat transfer Part A v.28 The in viscid stagnation-flow solidification problem Rangel, R. H.;Bian, X.
  17. Int. J. Heat Mass Transfer v.39 The in viscid stagnation-flow solidification problem Rangel, R. H.;Bian, X.
  18. Int. J. Heat Mass Transfer v.39 The viscous stagnation-flow solidification problem Bian, X.;Rangel, R. H.
  19. 공기조화 냉동공학 논문집 v.10 no.3 평면 점성 정체 유동 응고 문제에 대한 이론적 해석 유주식
  20. J. Heat Transfer v.87 Unsteady stagnation point heat transfer Chao, B. T.;Jeng, D. R.
  21. J. Heat Transfer v.103 Unsteady stagnation point heat transfer with blowing or suction Sano, T.