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Free convection of highly viscous liquid along a vertical finite plate with constant heat flux


On the basis of asymptotic analysis of the complete Navier-Stokes and energy equations, using the Prandtl number as the basic parameter of the expansion, the form of the velocity profile of free-convective flow is determined at large Prandtl numbers.

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Literature cited

  1. 1.

    C. A. Hieber and B. Gebhart, “Stability of vertical natural convection boundary layers: expansions at large Prandtl number,” J. Fluid Mech.,49, 577–591 (1971).

  2. 2.

    T. Fujiiand H. Tanaka, “Free convection of a paraffin oil around a vertical plate,” Rep. Res. Inst. Sci. Ind. Kyushu Univ., No. 70, 21–29 (1979).

  3. 3.

    R. J. Gilmore, K. E. Yelmgren, A. A. Szewczyk, and K.-T. Yang, “Experimental investigation of laminar free convection about short vertical plates and horizontal discs at small Grashof numbers,” in: Proceedings of Fifth International Heat Transfer Conference, Tokyo (1974), N.C. 1. 6, pp. 25–29.

  4. 4.

    B. Gebhart, “Effects of viscous dissipation in natural convection,” J. Fluid Mech.,14, No. 2, 225–233 (1962).

  5. 5.

    O. G. Martynenko, A. A. Berezovskii, and Yu. A. Sokovishin, Asymptotic Methods in the Theory of Free-Convective Heat Transfer [in Russian], Nauka i Tekhnika, Minsk (1979).

  6. 6.

    J. S. Turner, Buoyancy Effects in Fluids, Cambridge University Press, New York (1973).

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 48, No. 1, pp. 59–63, January, 1985.

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Sokovishin, Y.A., Kovkova, A.A. Free convection of highly viscous liquid along a vertical finite plate with constant heat flux. Journal of Engineering Physics 48, 46–49 (1985).

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  • Convection
  • Statistical Physic
  • Heat Flux
  • Velocity Profile
  • Prandtl Number