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Kochin-Loitsyanskii method in free convection problems

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Abstract

Freely convective heat transfer is computed by the Kochin-Loitsyanskii method on a vertical plate whose temperature is variable.

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Abbreviations

x, y:

longitudinal and transverse coordinates

u:

longitudinal velocity component

T:

temperature

ϑ = T−T∞ :

excess temperature

ν :

coefficient of kinematic viscosity

a :

thermal conductivity coefficient

g:

acceleration due to gravity

β:

coefficient of volume expansion

U, h:

velocity and transverse coordinate scales

η = y/h, ϕ = u/U, θ = ϑ/ϑw :

dimensionless coordinate and functions

m:

an exponent

χ, γ:

scale coefficients

Pr = ν/a :

Prandtl number

Grx = gβϑwx3/ν 2 :

Grashof number

Nux = αxx/λ:

Nusselt number

w:

magnitude on the wall

∞:

at a large distance from the wall

* :

in the self-similar problem

0:

initial value or leading edge

Literature cited

  1. N. E. Kochin and L. G. Loitsyanskii, “On an approximate method to compute the laminar boundary layer,” Dokl. Akad. Nauk SSSR,36, No. 9, 278–284 (1942).

    Google Scholar 

  2. O. G. Martynenko and Yu. A. Sokovichin, Freely Convective Heat Transfer on a Vertical Surface (Boundary Conditions of the Second Kind) [in Russian], Nauka i Tekhnika, Minsk (1977).

    Google Scholar 

  3. E. M. Sparrow and J. L. Gregg, “Similar solutions for free convection from a nonisothermal vertical plate,” Trans. ASME,80, No. 2, 379–386 (1958).

    Google Scholar 

  4. S. B. Sutton, “A study of free convection from a vertical plate with sinusoidal temperature distribution,” AIAA Paper No. 71-988 (1971).

  5. T. T. Kao, “Locally nonsimilar solution for laminar free convection adjacent to a vertical wall,” Trans. ASME, J. Heat Transfer,98C, No. 2, 321–322 (1976).

    Google Scholar 

  6. T. T. Kao, G. A. Domoto, and H. G. Elrod, Jr., “Free convection along a nonisothermal vertical flat plate,” Trans. ASME, J. Heat Transfer,99C, No. 1, 72–78 (1977).

    Google Scholar 

  7. T. Y. Na, Numerical solution of natural convection flow past a nonisothermal vertical flat plate,” Appl. Sci. Res.,33, Nos. 5/6, 519–543 (1978).

    Google Scholar 

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Author information

Authors and Affiliations

  1. M. I. Kalinin Leningrad Polytechnic Institute, USSR

    Yu. A. Sokovishin & A. G. Semenov

Authors
  1. Yu. A. Sokovishin
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  2. A. G. Semenov
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 39, No. 4, pp. 724–727, October, 1980.

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Sokovishin, Y.A., Semenov, A.G. Kochin-Loitsyanskii method in free convection problems. Journal of Engineering Physics 39, 1140–1143 (1980). https://doi.org/10.1007/BF00822152

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  • DOI: https://doi.org/10.1007/BF00822152

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