Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
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Numerical Analysis on Heat Transfer of Viscoelastic Fluid including Buoyancy Effect

부력의 영향을 포함한 점탄성 유체의 열전달에 관한 수치해석

  • 손창현 (경북대학교 기계공학부) ;
  • 안성태 (경북대학교 대학원 기계공학부) ;
  • 장재환 (경북대학교 대학원 기계공학부)
  • Published : 2000.04.01
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Abstract

The present numerical study investigates flow characteristics and heat transfer enhancement of the viscoelastic non-Newtonian fluid in a 2:1 rectangular duct. The combined effect of temperature-dependent viscosity, buoyancy and secondary flow caused by second normal stress difference are all considered. The Reiner-Rivlin model is used as a viscoelastic fluid model to simulate the secondary flow and temperature-dependent viscosity model is adopted. Three types of thermal boundary conditions involving different combinations of heated walls and adiabatic walls are considered in this study. Calculated Nusselt numbers are in good agreement with experimental results in both the thermal developing and thermally developed regions. The heat transfer enhancement can be explained by the combined viscoelasticity-driven secondary flow, buoyancy-induced secondary flow and temperature-dependent viscosity.

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References

  1. Hartnett, J. P. and Kostic, M., 1985, 'Heat Transfer to a Viscoelastic Fluid in Laminar Flow through a Rectangular Channel.' Int. J. Heat Mass Transfer, Vol. 28, pp. 1147-1155 https://doi.org/10.1016/0017-9310(85)90122-X
  2. Hartnett, J. P., 1991, 'Viscoelastic Fluids: Experimental Challenges.' Experimental Heat Transfer, Fluid Mechanics, Thermodynamics, Elsevier Scicnce Publishing Company, pp. 621-626
  3. Xie, C. and Hartnett, J. P., 1992, 'Influence of Rheology on Laminar Heat Transfer to Viscoelastic Fluids in a Rectangular Channel.' American Chemical Society, pp. 727-732
  4. Gao, S. X. and Hartnett, J. P., 1996, 'Heat Transfer Bahavior of Reiner-Rivlin Fluids in Rectangular Ducts.' Int. J. Heat Mass Transfer, Vol. 39, No. 6, pp. 1317-1324 https://doi.org/10.1016/0017-9310(95)00041-0
  5. 정석호, 손창현, 신세현, 1998, '직사각형 덕트에서 Reiner-Rivlin 유체의 이차유통 및 열전달에 관한 수치해석.' 대한기계학회논문집(B), 제22권, 제9호, pp. 1208-1216
  6. Sehyun Shin, Young I. Cho, William K. Gringrich and Wei Shyy, 1993, 'Numerical Study of Liminar Heat Transfer with Temperature Dependent Fiuid Viscodity in a 2:1 Rectangular Duct.' Int. J. Heat Mass Transfer, Vol. 36, No. 18, pp. 4365-4373 https://doi.org/10.1016/0017-9310(93)90121-L
  7. Sehyun Shin, Young I. Cho, 1994, 'Laminar Heat Transfer in a Rectangular Duct with a Non-Newtonian Fluid with Temperature Dependent Viscosity.' Int. J. Heat Mass Transfer, Vol. 37, Suppl. 1, pp. 19-30 https://doi.org/10.1016/0017-9310(94)90005-1
  8. Chang, P. Y. Chou, F. C. and Tung, C. W., 1998 'Heat Transfer Mechanism for Newtonian and Non-Newtonian Fluids in 2:1 Rectangular Ducts.' Int. J. Heat Mass Transfer, Vol. 41, pp. 3841-3856 https://doi.org/10.1016/S0017-9310(98)00093-3
  9. Shin, S., Ahn, H. H., Cho, Y. I. and Sohn, C. H., 'Heat Transfer Behavior for Newtonian and Non-Newtonian Fluids in 2:1 Rectangular Ducts.' accepted in Int. J. Heat Mass Transfer https://doi.org/10.1016/S0017-9310(98)00358-5
  10. Patankar, S. V., 1980, Numetical Heat Transfer and Fluid Flow, McGraw-Hill Book Company
  11. Hayase, T., Humphrey, J. A. C. and Grief, R., 1992, 'A Consistently Formulated QUICK Scheme for Fast and Stable Convergence Using Finite-Volume Iterative Calculation Procedures.'J. Computational Physics, Vol. 98, pp. 108-118 https://doi.org/10.1016/0021-9991(92)90177-Z
  12. 김병석, 신세현, 손창현, 1997, '직사각형 덕트에서 전단율에 의존적인 열전도율을 갖는 비뉴턴 유체의 열전달 향상에 관한 수치적 연구.' 대한기계학회논문집(B), 제21권, 제6호, pp. 773-778
  13. Kozicki, W., Chou, C. H. and Tiu, C., 1966, 'Non-Newtonian Flow in Ducts of Arbitary Cross-sectional Shape.' Chem. Eng. Sci, Vol. 21, pp. 665-679 https://doi.org/10.1016/0009-2509(66)80016-7