Advertisement

Heat Transfer on Liquid Laminar Free Convection

  • De-Yi Shang
Chapter
Part of the Heat and Mass Transfer book series (HMT)

Abstract

The new similarity analysis method is used to transform the governing partial differential equations of laminar free convection of liquid into the corresponding governing dimensionless system, which are identical to the corresponding governing dimensionless system of gas laminar free convection, except different treatment of variable physical properties. Due to the different variable physical properties from gases, the polynomial approach is suggested for treatment of temperature-dependent physical properties of liquid. Taking water as an example, the polynomial approach is applied for expressions of temperature-dependent density, thermal conductivity, and viscous. These expressions are reliable because they are based on the typical experimental values of the physical properties. By means of the equations of the physical property factors coupled with the governing ordinary differential equations of liquid laminar free convection created by the new similarity analysis method, the non-linear governing equations with corresponding boundary conditions are simultaneously solved numerically. The effect of variable physical properties on water laminar free convection along an isothermal vertical plate is investigated. It is found that the wall temperature gradient is the only one no-given condition for prediction of heat transfer. Compared with wall temperature, the bulk temperature dominates heat transfer of laminar free convection. By means of the curve-fitting equation on the wall temperature gradient, the heat transfer analysis equations based on the new similarity analysis model become those with the practical application value for heat transfer prediction.

Keywords

Heat Transfer Free Convection Average Nusselt Number Bulk Temperature Heat Transfer Analysis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    T. Fujii et al., Experiments on natural convection heat transfer from the outer surface of a vertical cylinder to liquids. Int. J. Heat Mass Transf. 13, 753–787 (1970)CrossRefGoogle Scholar
  2. 2.
    T. Fujii, Heat transfer from a vertical flat surface by laminar free convection—The case where the physical constants of fluids depend on the temperature and the surface has an arbitrary temperature distribution in the vertical direction. Trans. Japan. Soc. Mech. Eng. 24, 964–972 (1958)CrossRefGoogle Scholar
  3. 3.
    S. Akagi, Free convection heat transfer in viscous oil. Trans. Jpn. Soc. Mech. Eng. 30, 624–635 (1964)CrossRefGoogle Scholar
  4. 4.
    J.M. Piau, in Convection Natural Laminar en Regime Permanent dans les Liquids, ed. by C.R. Hebd. Influence des Variations des Properties Physique avec la Temperature, vol. 271 (Seanc Acad Sci., Paris, 1970), pp. 935–956Google Scholar
  5. 5.
    J.M. Piau, Influence des variations des properties physiques et la stratification en convection naturelle. Int. J. Heat Mass Transf. 17, 465–476 (1974)zbMATHCrossRefGoogle Scholar
  6. 6.
    A. Brown, The effect on laminar free convection heat transfer of temperature dependence of the coefficient of volumetric expansion. Trans. ASME Ser. C J. Heat Transf. 97, 133–135 (1975)CrossRefGoogle Scholar
  7. 7.
    V.P. Carey, J.C. Mollendorf, Natural convection in liquids with temperature dependence viscosity, in Proceedings of the Sixth International Heat Transfer Conference, Toronto, 1978. NC-5, vol. 2 (Hemisphere, Washington, DC, 1978), pp. 211–217Google Scholar
  8. 8.
    P. Sabhapathy, K.C. Cheng, The effect of temperature-dependent viscosity and coefficient of thermal expansion on the stability of laminar, natural convective flow along an isothermal, vertical surface. Int. J. Heat Mass Transf. 29, 1521–1529 (1986)CrossRefGoogle Scholar
  9. 9.
    Z.H. Qureshi, B. Gebhart, The stability of vertical thermal buoyancy induced flow in cold pure and saline water. Int. J. Heat Mass Transf. 29, 1383–1392 (1986)CrossRefGoogle Scholar
  10. 10.
    D.Y. Shang, B.X. Wang, Y. Wang, Y. Quan, Study on liquid laminar free convection with consideration of variable thermophysical properties. Int. J. Heat Mass Transf. 36(14), 3411–3419 (1993)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.OttawaCanada

Personalised recommendations