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Crisis of the Laminar Flow of a Non-Newtonian Liquid in a Pipe

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Journal of Engineering Physics and Thermophysics Aims and scope

The laminar-turbulent transition of flows of Newtonian (viscous) and non-Newtonian liquids in pipes was investigated on the basis of the combined analysis of the generalized equation of the first and second laws of thermodynamics for a simple system and the Darcy–Weisbach equation. It is shown that a reason for the crises of the laminar flows of such liquids in pipes is the disturbance of the balance between the positive entropy production and the negative entropy flow in them. An analysis of calculation and experimental data on the disturbance of the laminar flow of a non-Newtonian liquid in a pipe and the transformation of this flow into a turbulent flow has shown that the crises of a laminar flow of an elastoviscoplastic liquid in a pipe happens at a larger critical Reynolds number compared to that of a laminar flow of a viscoplastic liquid at one and the same values of the Hedstrom parameter.

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References

  1. V. N. Kolodezhnov, On a possible model of the initial stage of the laminar–turbulent transition, Vestn. Voronezh. Gos. Univ., 8, No. 5, 2–7 (2012).

    Google Scholar 

  2. A. A. Pavel’ev, A. I. Reshmin, and V. V. Trifonov, Influence of the structure of the initial disturbances in a steady flow in a pipe on its regime, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 6, 68–76 (2006).

  3. G. Astarita and G. Marrucci, Foundations of Hydromechanics of Non-Newtonian Liquids [Russian translation], Mir, Moscow (1978).

    Google Scholar 

  4. R. W. Hanks, The laminar–turbulent transition for fluids with a yields stress, AIChE. J., 9, 306–309 (1963).

    Article  Google Scholar 

  5. N. Makovei, Hydraulics of Drilling [in Russian], Nedra, Moscow (1986).

    Google Scholar 

  6. A. G. Potapov and V. G. Litvishko, Methods of determining the decrease in the hydraulic resistance of flows of viscoplastic liquids, Tr. Ins. Geol. Razrab. Gor. Iskop., Issue 27, 32–36 (1976).

    Google Scholar 

  7. N. N. Moiseev, Mathematics Runs Experiment [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  8. L. I. Sedov, Mechanics of Continuous Media [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  9. V. V. Sychev, Differential Thermodynamic Equations [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  10. I. Prigogine and I. Stengers, Time, Chaos, Quantum: On the Decision of the Paradox of Time [Russian translation], URSS, Moscow (2014), pp. 200–239.

    Google Scholar 

  11. A. G. Potapov, On the problem of the laminar–turbulent transition in flows of viscous and viscoplastic liquids in a pipe, Vesti Gaz. Nauki, No. 4(15), 69–75 (2013).

    Google Scholar 

  12. A. G. Potapov, Reason for the laminar–turbulent transition in flows of viscous and viscoplastic liquids in a pipe, in: Proc. XI All-Russia Congress on Fundamental Problems of Theoretical and Applied Mechanics, 20–24 August 2015, Kazan (2015), pp. 3097–3099.

  13. A. G. Potapov, On the crises of a laminar flow of a nonlinear medium in a pipe, in: Proc. Int. School-Seminar “Rheophysics and Thermophysics of Non-Equilibrium Systems, Part 1, Nonequilibrium Processes in Heterogeneous Media, Minsk (1991), pp. 136–138.

  14. A. G. Potapov, Resistance of a turbulent flow of a drilling solution, Tr. Inst. Geol. Razrab. Gor. Iskop., Issue 27, 27–31 (1976).

    Google Scholar 

  15. G. A. Il′in, Determination of the critical velocity of flows of washing solutions and slurries, Gaz. Prom., No. 1, 5–7 (1971).

  16. R. W. Hanks and B. H. Dadia, Theoretical analysis of the turbulent flow of non-Newtonian slurries in pipes, AIChE J., 17, 554–557 (1971).

    Article  Google Scholar 

  17. S. V. Vasil’chenko and A. G. Potapov, Influence of the elastic properties of structured systems on the process of rising of a gas bubble in them, Kolloidn. Zh., 51, Issue 2, 353–358 (1989).

    Google Scholar 

  18. B. S. Filatov, Flows of slurries in pipes, Kolloidn. Zh., XVI, No. 1, 65–71 (1954).

    Google Scholar 

  19. É. K. Latypov, Correction of calculation of the pressure losses in flows of viscoplastic liquids in pipes, Neft. Khoz., No. 3, 23–30 (1962).

    Google Scholar 

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Correspondence to A. G. Potapov.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 91, No. 6, pp. 1537–1543, November–December, 2018.

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Potapov, A.G. Crisis of the Laminar Flow of a Non-Newtonian Liquid in a Pipe. J Eng Phys Thermophy 91, 1462–1467 (2018). https://doi.org/10.1007/s10891-018-1881-1

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  • DOI: https://doi.org/10.1007/s10891-018-1881-1

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