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On the turbulent boundary layer of a dry granular avalanche down an incline. I. Thermodynamic analysis

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Języki publikacji
EN
Abstrakty
EN
Characteristics of the turbulent boundary and passive layers of an isothermal dry granular avalanche with incompressible grains are studied by the proposed zero-order turbulence closure model. The first and second laws of thermodynamics are applied to derive the equilibrium closure relations satisfying turbulence realizability conditions, with the dynamic responses postulated within a quasi-static theory. The established closure model is applied to analyses of a gravity-driven stationary avalanche down an incline to illustrate the distributions of the mean solid content, mean velocity, turbulent kinetic energy and dissipation across the flow layer, and to show the influence of turbulent fluctuation on the mean flow features compared with laminar flow solutions. In this paper, detailed thermodynamic analysis and equilibrium closure relations are summarized, with the dynamic responses, the complete closure model and numerical simulations reported in the second part.
Rocznik
Strony
1051--1062
Opis fizyczny
Bibliogr. 48 poz., tab.
Twórcy
autor
  • National Cheng Kung University, Department of Civil Engineering, Tainan City, Taiwan
Bibliografia
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  • 13. Fang C., 2009a, Gravity-driven dry granular slow flows down an inclined moving plane: a comparative study between two concepts of the evolution of porosity, Rheologica Acta, 48, 971-992
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  • 16. Fang C., 2016a, A k-ε turbulent closure model of an isothermal dry granular dense matter, Continuum Mechanics and Thermodynamics (in press, DOI: 10.1007/s00161-015-0454-1)
  • 17. Fang C., 2016b, On the turbulent boundary layer of a dry granular avalanche down an incline. Part II. Closure model with numerical simulations, Journal of Theoretical and Applied Mechanics (in press)
  • 18. Fang C., Wu W., 2014a, On the weak turbulent motions of an isothermal dry granular dense flow with incompressible grains. Part I. Equilibrium turbulent closure models, Acta Geotechnica, 9, 725-737
  • 19. Fang C., Wu W., 2014b, On the weak turbulent motions of an isothermal dry granular dense flow with incompressible grains. Part II. Complete closure models and numerical simulations, Acta Geotechnica, 9, 739-752
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  • 47. Wang Y., Hutter K., 2001, Granular material theories revisited, [In:] Geomorphological Fluid Mechanics, Balmforth N.J., Provenzale A. (Edit.), Heidelberg, Springer, 79-107
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Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ddbf1778-baa3-4d73-a80d-a5f1cbe93ca7
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