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Exact solution of a nonstationary convective heat-exchange problem in a two-dimensional channel

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Abstract

Degenerate hypergeometric functions are employed to give an exact solution of a nonstationary convective heat-conduction problem for an established laminar flow of a viscous incompressible fluid in a plane-parallel layer.

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Literature cited

  1. N. A. Slezkin, Dynamics of a Viscous Incompressible Fluid [in Russian], Moscow (1955).

  2. P. Frank and R. von Mises, Differential and Integral Equations of Mathematical Physics [Russian translation], Moscow (1937).

  3. N. N. Lebedev, Special Functions and Their Applications [in Russian], Moscow-Leningrad (1963).

  4. V. B. Fiks, Ionic Conductivity in Metals and Semiconductors [in Russian], Moscow (1969).

  5. V. A. Kudinov, Inzh.-Fiz. Zh.,51, No. 5, 795–801 (1986).

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 54, No. 6, pp. 1006–1009, June, 1988.

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Uflyand, Y.S. Exact solution of a nonstationary convective heat-exchange problem in a two-dimensional channel. Journal of Engineering Physics 54, 680–682 (1988). https://doi.org/10.1007/BF01102661

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  • DOI: https://doi.org/10.1007/BF01102661

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