Investigation of Heat Transfer Augmentation with Pseudoplastic Fluids in Annular Pipes

환상 파이프 내에서의 의소성 유체를 이용한 열전달 향상에 관한 연구

  • 이동렬 (대구가톨릭대학교 기계자동차공학부)
  • Received : 2011.05.15
  • Accepted : 2011.06.21
  • Published : 2011.06.30

Abstract

Computational results with pseudoplastic fluid flows for fully developed non-Newtonian laminar flows have been obtained. Those consist of the product of friction factor and Modified Reynolds number and Nusselt numbers with respect to the shear rate parameter in an annular pipe. The numerical results of the product of friction factor and Reynolds numbers and the Nusselt numbers for both Newtonian region and the power law region were compared with previously published asymptotic results, respectively. In the present calculations, the product of friction factor and Newtonian Reynolds numbers for pseudoplastic fluid at power law region in annular pipe is 180% less than that for Newtonian fluid. For power law fluids with different power law flow indices, the difference of the product of friction factor and power law Reynolds number between previous and the present results at the power law region is within 0.20%. The solutions also show the effect of the shear rate parameter on the Nusselt number and about 11% increase of Nusselt number at the power region.

Keywords

Acknowledgement

Supported by : 대구가톨릭대학교

References

  1. R. K. Shah and A. L. London, "Laminar Flow Forced Convection in Ducts," Supplement 1 to Advances in Heat Transfer (T. F. Irvine, Jr. and J.P. Hartnett ed.), Academic Press, New York. 1978.
  2. R.R. Rothfus, R. Kermode, and J. H. Hackworth, "Pressure Drop in Rectangular Ducts," Chem. Eng., Vol.71, pp.175-176, 1964.
  3. A. R. Chandrupatla, "Analytical and Experimental Studies of Flow and Heat Transfer Characteristics of a Non-Newtonian Fluid in a Square Duct," Ph.D. Thesis, Indian Institute of Technology, Madras, India, 1977.
  4. J. A. Wheeler and E.H. Wissler, "The Friction Factor Reynolds Number Relation for the Steady Flow of Pseudoplastic Fluids through Rectangular Ducts," AIChE J., Vol.11, pp.207-216, 1966.
  5. W. Kozicki, and C. Tiu, "Improved Parametric Characterization of Flow Geometries," Can. J. Cherm. Eng., Vol.49, pp.562-573, 1971. https://doi.org/10.1002/cjce.5450490503
  6. W. Kozicki, C. H. Chou, and C. Tiu, "Non-Newtonian Flow in Ducts of Arbitrary Cross-Sectional Shape," Chem. Eng. Sci., Vol.21, pp.665-671, 1966. https://doi.org/10.1016/0009-2509(66)80016-7
  7. J.P., Hartnett, E.Y. Kwack, and B.K. Rao, "Hydrodynamic Behavior of Non-Newtonian Fluids in a Square Duct," J. Rheol., Vol. 30(S), S45, 1986. https://doi.org/10.1122/1.549904
  8. J.P. Hartnett and M. Kostic, "Heat Transfer to a Viscoelastic Fluid in Laminar Flow Through a Rectangular Channel," Int. J. Heat and Mass Transfer, Vol. 28, pp.1147, 1985. https://doi.org/10.1016/0017-9310(85)90122-X
  9. F. T. Pinho and J H. Whitelaw, "Flow of Non- Newtonian Fluids in a Pipe," J. Non-Newtonian Fluid, Vol.34, pp.129-144, 1990. https://doi.org/10.1016/0377-0257(90)80015-R
  10. W. J. Beek and R. Eggink, "Warmteoverdracht Narr een Laminaire Stroming Van een Neit- Newtonse Vloeistof in een Ronde Buise, De Ingenuir", Chemische Techniek, 7, pp.81-89. 1962.
  11. U. V. Grigull, "Warmeubergant an Nicht-Newtonsche Flussigkeiten bei LaminarRohrstromung," Chemie- Ingenieur-Technik, Vol.819, pp.553-556, 1956.
  12. J. L. Sutterby, "Laminar Converging Flow of Dilute Polymer Solution in Conical Section- I. Viscosity Data, New Viscosity Model, Tube Flow Solution," AICHE J., Vol.12, pp.63-68, 1966. https://doi.org/10.1002/aic.690120114
  13. M. M. Cross, "Rheology of Non-Newtonian Fluids: A New Equation for Pseudoplastic Systems," J. Colloid. Sci., 20, pp.417-437, 1965. https://doi.org/10.1016/0095-8522(65)90022-X
  14. P. J. Carreau, "Rheological Equations from Molecular Network Theory", Tran, Soc, Rheol., 16, pp.99-127, 1972. https://doi.org/10.1122/1.549276
  15. J. E, Dunleavy and S. Middleman, "Relation of Shear Behavior of Solution of Polyisobutylene," Tran. Soc. Rheol., Vol. 10, pp.151-168, 1966.