FRACTAL-STRUCTURAL ANALYSIS OF CONVECTION HEAT TRANSFER IN A TURBULENT MEDIUM.
DOI:
https://doi.org/10.31489/2020No2/61-68Keywords:
turbulence, heat transfer, fractal, multifractal, vortex structure, entropy, flow crampednessAbstract
"The features of convective heat transfer of bodies in a turbulent environment are considered. The results of experimental research by one of the authors are discussed. Experimental data show that the heat transfer of a spherical body is affected by natural convection, the thermo-physical properties of the medium, the tightness of the flow, the turbulent flow regime, etc. Due to these factors, the formula for calculating convective heat transfer, which includes many experimental constants, becomes cumbersome and inconvenient for practical application. The paper presents the results of applying fractal-structural analysis methods to describe experimental data on convective heat exchange of badly streamlined (cylinder and sphere) bodies in a channel. Quantitative relations are obtained that link the intensity of turbulent heat transfer with the criteria for the degree of self-organization. "
References
"1 Isataev S.I., Akylbaev Zh.S., Turmukhambetov A.Zh. Aerohydrodynamics and heat exchange of curved bodies. Almaty, Gylym, 1996, 437 p. [in Russian]
Turmukhambetov A.Zh. Heat Transfer of a sphere in a constrained flow of a viscous liquid. IFJ. 2001, Vol. 74, No.3, pp. 161 – 163. [in Russian]
Mandelbrot B.B. Fractals: form, chance and dimension. San Francisco, 1977, 347 p.
Feder E. Fractals. Moscow, Mir, 1991, 254 p.
Mandelbrot B. Fractal geometry of nature. Moscow, 2002, 656 p.
Kolesnichenko A.V., Marov M. Ya. Turbulence and self-organization. Problems of modeling space and natural environments. Moscow, 2009, 632 p. [in Russian]
Kovalnogov V.N., Khakhalev Yu.A. Numerical investigation of effected turbulent flow on the base of pressure fluctuations fractal dimension analysis. Vector of science of Tolyatti state University. 2014, No. 3 (29), pp. 62 – 66. [in Russian]
Suprun T.T. Heat transfer in the presence of transition induced by wakes of hesitating cylinder. Eurasian Physical Technical Journal, 2016 Vol. 13, No. 2(26), pp. 92 – 97.
Demenok S.L. Heat transfer and hydraulic resistance in pipes and channels. SPB, N-PromByuro, 2012, 285 p. [in Russian]
Stern V.. Elementary structural model of turbulent mixing. In: Collection of Structural turbulence. Novosibirsk. 1982, 166 p. [in Russian]
Zhanabaev Z.Zh. Fractal model of turbulence in a jet. Izvestia of SB as USSR. Series of technical Sciences. 1988, Vol. 4, No. 15, pp. 57 - 60. [in Russian]
Haken G. Information and self-organization. Moscow, Mir, 1991, 240 p.
Zhanabaev Z.Zh. Information properties of self-organizing systems. Reports of the national Academy of Sciences of the Republic of Kazakhstan, 1996, No. 5, pp. 14 – 19.
Shuster G. Deterministic chaos. Moscow, Mir, 1988. - 240 p.
Turmukhambetov A.Zh. Fractal properties of the constrained turbulent flow. Bulletin of the NAS RK. Almaty, 1999, No. 5, pp. 77 – 83. [in Russian]
Morgan V.T. The overal convective Heat Transfer from smooth circular cylinders. Advances in Heat Transfer. 1975, Vol. 11, pp. 199 – 264.
"
