Laminar Heat and Fluid Flow Characteristic with a Modified Temperature-Dependent Viscosity Model in a Rectangular Duct

  • Published : 2006.03.01

Abstract

The present study proposes a modified temperature-dependent non-Newtonian viscosity model and investigates the flow characteristics and heat transfer enhancement of the viscoelastic non-Newtonian fluid in a 2:1 rectangular duct. The combined effects of temperature dependent viscosity, buoyancy, and secondary flow caused by the second normal stress difference are considered. Calculated Nusselt numbers by the modified temperature-dependent viscosity model give good agreement with the experimental results. The heat transfer enhancement of viscoelastic fluid in a rectangular duct is highly dependent on the secondary flow caused by the magnitude of second normal stress difference.

Keywords

References

  1. 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,' International Journal of Heat and Mass Transfer, Vol. 41, pp. 3841-3856 https://doi.org/10.1016/S0017-9310(98)00093-3
  2. Gao, S. X. and Hartnett, J. P., 1996, 'Heat Transfer behavior of Reiner-Rivlin Fluids in Rectangular Ducts,' International Journal of Heat and Mass Transfer, Vol. 39, pp. 1317-1324 https://doi.org/10.1016/0017-9310(95)00041-0
  3. Gervang, B. and Larsen, P. S., 1991, 'Secondary Flows in Straight Ducts of Rectangular Cross Section,' J. Non-Newtonian Fluid Mechanics, Vol. 39, pp. 217-237 https://doi.org/10.1016/0377-0257(91)80016-D
  4. Green, A. E. and Rivlin, R. S., 1956, 'Steady Flow of Non-Newtonian Fluids through Tubes,' Q. Appl. Math., Vol. 14, pp. 299-308
  5. Hartnett, J. P. and Kostic, M., 1985, 'Heat Transfer to a Viscoelastic Fluid in Laminar Flow through a Rectangular Channel,' Int. J. Heat and Mass Transfer, Vol. 28, pp. 1147-1155 https://doi.org/10.1016/0017-9310(85)90122-X
  6. Hartnett, J. P., 1991, Viscoelastic Fluids : Experimental Challenges, Experimental Heat Transfer, Fluid Mechanics, Thermodynamics, Elsevier Science Publishing Company, pp. 621-626
  7. Hayase, T., Humphrey, J. A. C. and Greif, 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
  8. Kim, B. S., Shin, S. and Sohn, C. H., 1997, 'Numerical Heat Transfer in a Rectangular Duct with a Non-Newtonian Fluid with Shear-rate Dependent Thermal Conductivity,' Trans. KSME B in Korea, Vol. 21 (6), pp. 773-778
  9. Kostic, M., 1994, 'On Turbulent Drag and Heat Transfer Reduction Phenomena and Laminar Heat Transfer Enhancement in Non-circular Duct Flow of Certain Non-Newtonian Fluids,' Int. J. Heat Mass transfer, Vol. 37, No. 1, pp. 133-147 https://doi.org/10.1016/0017-9310(94)90017-5
  10. Rohsenow, W. M., Hartnett, J. P. and Cho, Y. I., 1998, Handbook of Heat Transfer, McGraw-Hill, New York, pp. 10.1-10.53
  11. Shin, S. and Cho, Y. I., 1994, 'Laminar Heat Transfer in a Rectangular Duct with a Non-Newtonian Fluid with Temperature Dependent Viscosity,' Int. J. Heat and Mass Transfer, Vol. 37, pp. 19-30 https://doi.org/10.1016/0017-9310(94)90005-1
  12. Shin, S., Ahn, H. H., Cho, Y. I. and Sohn, C. H., 1999, 'Heat Transfer Behavior of a Temperature-Dependent Non-Newtonian Fluids with Reiner-Rivlin Model in a 2:1 Rectangular Ducts,' Int.l J. Heat and Mass Transfer, Vol. 42, pp. 2935-2942 https://doi.org/10.1016/S0017-9310(98)00358-5
  13. Sohn, C. H., Ahn, S. T. and Shin, S., 2000, 'Heat Transfer Behavior of Temperature-Dependent Viscoelastic Non-Newtonian Fluid with Buoyancy Effect in 2:1 Rectangular Duct,' Int. Comm. Heat Mass Transfer, Vol. 27, pp. 159-168 https://doi.org/10.1016/S0735-1933(00)00097-X
  14. Xie, Chunbo and Hartnett, J. P., 1992, 'Influence of Rheology on Laminar Heat Tranfer to Viscoelastic Fluids in a Rectangular Channel,' Ind. Engng Chem. Res, Vol. 31, pp. 727-732 https://doi.org/10.1021/ie00003a012