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Evolution of three-dimensional spectra on the transition from laminar to turbulent convection

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Abstract

Three-dimensional spectra of thermogravitational convection on the transition from laminar to turbulent regimes in a short horizontal cylinder heated from below were investigated experimentally. In accordance with the experimental data, a basis satisfying the condition that the correlation matrix for the expansion coefficients of the temperature profiles in the central horizontal cross section of the cylinder be diagonal was constructed for each set of determining parameters of the problem. The use of such bases appreciably simplifies the description of the transition region. It is shown that on the development of a turbulent convection regime the three-dimensional spectrum expands critically.

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  1. G. P. Bogatyrev and V. G. Gilev, “Supercritical conveetive motions in a short horizontal cylinder,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 137 (1980).

    Google Scholar 

  2. G. P. Bogatyrev and V. G. Gilev, “Experimental investigation of supercritical convective motions in a slit cavity,” in: Convective Flows [in Russian], Perm' University (1979), pp. 25–30.

  3. G. P. Bogatyrev, V. G. Gilev, and V. D. Zimin, “Space-time spectra of stochastic oscillations in a convection cell,” Pis'ma Zh. Eksp. Teor. Fiz.,32, 229 (1980).

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  4. V. D. Zimin and A. I. Ketov, “Turbulent convection in a cubic cavity heated from below,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 133 (1978).

    Google Scholar 

  5. D. V. Lyubimov, G. F. Putin, and V. N. Chernatynskii, “Convective motions in a Hele-Shaw cell,” Dokl. Akad. Nauk SSSR,235, 554 (1977).

    Google Scholar 

  6. A. M. Yaglom, “Spectral representations for different classes of random functions,” Transactions of the Fourth All-Union Mathematical Conference, Vol. 1 [in Russian], Izd. Akad. Nauk SSSR, Leningrad (1963), pp. 250–273.

    Google Scholar 

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 104–109, May–June, 1936.

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Bogatyrev, G.P., Zimin, V.D. Evolution of three-dimensional spectra on the transition from laminar to turbulent convection. Fluid Dyn 21, 426–430 (1986). https://doi.org/10.1007/BF01409729

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  • DOI: https://doi.org/10.1007/BF01409729

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