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Hydrodynamics of a Centrifugal Nonlinear-Viscoelastic Liquid Film

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Journal of Engineering Physics and Thermophysics Aims and scope

Film flow of nonlinear-viscoelastic fluid over the surface of a rotating curvilinear extension piece has been considered with account for the lag. The rheological model used is that of White–Metzner. The problem has been solved by the method of integral relations with the use of the von Karman (κ = 0) and Leibenson (κ = 1) approximations. Two algebraic equations with two unknowns have been obtained realized by the method of iterations. Experimental data are given.

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References

  1. K. D. Vachagin, N. Kh. Zinnatullin, and N. V. Tyabin, Film flow of a non-Newtonian liquid over rotating surfaces, J. Eng. Phys. Thermophys., 9, No. 2, 130–136 (1965).

    Article  Google Scholar 

  2. N. Kh. Zinnatullin, K. D. Vachagin, and N. V. Tyabin, The two-dimensional flow of a non-Newtonian fluid over the open surface of a rapidly rotating flat disk, J. Eng. Phys. Thermophys., 15, No. 2, 701–704 (1968).

    Article  Google Scholar 

  3. N. Kh. Zinnatullin, I. V. Flegentov, and F. A. Garifullin, Thin-layer flow of nonlinear elastoviscous fluid in a field of centrifugal forces, J. Eng. Phys. Thermophys., 26, No. 2, 182–186 (1974).

    Article  Google Scholar 

  4. N. Kh. Zinnatullin, I. V. Flegentov, and F. M. Gimranov, Film flow of a nonlinear viscoelastic fluid along a conical rotor, J. Eng. Phys. Thermophys., 31, No. 2, 896–899 (1976).

    Article  Google Scholar 

  5. V. V. Antonov, N. Kh. Zinnatullin, I. M. Nafikov, and A. A. Bulatov, Flow of an anomalous viscous fluid film in centrifugal force field, J. Eng. Phys. Thermophys., 69, No. 1, 95–99 (1996).

    Article  Google Scholar 

  6. N. Kh. Zinnatullin, I. M. Nafikov, and E. I. Kul′ment′eva, Effect of elasticity on the hydrodynamic parameters of the centrifugal liquid film. Pt. 1, Vestn. Kazansk. Tekhnol. Univ., 20, No. 11, 26–28 (2017); Pt. 2, Vestn. Kazansk. Tekhnol. Univ., 20, No. 12, 56–57 (2017).

  7. V. G. Litvinov, Motion of a Nonlinear Viscous Fluid [in Russian], Nauka, Moscow (1982).

    MATH  Google Scholar 

  8. I. P. Ginzburg, Theory of Resistance and of Heat Transfer [in Russian], LTU, Leningrad (1970).

    Google Scholar 

  9. A. F. Charwat, R. E. Kelly, and C. Gazley, The flow and stability of thin liquid films on a rotating disk, J. Fluid Mech., 53, No. 2, 227–255 (1972).

    Article  Google Scholar 

  10. A. A. Bulatov, N. Kh. Zinnatullin, and S. G. Nikolaeva, Determination of the length of the initial section of spreading of a liquid film over the surface of a rotating nozzle, in: Mass Transfer Processes and Apparatuses of Chemical Technology, Interinst. Collect. Sci. Papers, Kazan (1994), pp. 97–101.

  11. A. A. Bulatov, N. Kh. Zinnatullin, and S. G. Nikolaeva, Flow of an ideal fluid axisymmetrical jet onto a plane wall, in: Mass Transfer Processes and Apparatuses of Chemical Technology, Interinst. Collect. Sci. Papers, Kazan (2000), pp. 107–12.

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Correspondence to N. Kh. Zinnatullin.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 92, No. 4, pp. 953–958, July–August, 2019.

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Zinnatullin, N.K., Zinnatullina, G.N. & Kul’ment’eva, E.I. Hydrodynamics of a Centrifugal Nonlinear-Viscoelastic Liquid Film. J Eng Phys Thermophy 92, 923–928 (2019). https://doi.org/10.1007/s10891-019-02004-7

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  • DOI: https://doi.org/10.1007/s10891-019-02004-7

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