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Hydrodynamics of a centrifugal turbine agitator-pump

  • Modeling and Calculation of Technological Processes
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Abstract

Hydrodynamics and agitation energy of viscous fluids was considered in apparatuses with a centrifugal turbine agitator-pump applied in vacuum filtration systems for water softening. Using the Navier-Stokes equations we solved an axisymmetric problem in the variables: pressure-velocity, vorticity-flow function. A flow region behind turbine blades is represented as a pair of symmetrical macrovortices forming vortex tubes with vortex cores and potential flow between them. We determined hydrodynamic parameters such as: a circulation around a contour enclosing the vortices, the drag coefficient and pressure drop when moving blades, coordinates of centers of the macrovortices, radial, tangential, and axial flows and corresponding them mass flows of liquid. We determined a limiting mode of the absence of cavitation in the turbine and calculated energy dissipation and power criteria: parameters used to scale turbine agitators. The obtained data underlay the study of mass transfer in the vacuum filtration system designed to remove the calcium cations from water.

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References

  1. Oren, Y., Katz, V., and Daltorphe, N., A Pretreatment for Membrane Processes, Ben-Gurion University of the Negev Institute for Applied Research, Beer-Sheva, Israel, 2001.

    Google Scholar 

  2. Kats, V.Ya., Doctoral Sci. (Tech.) Dissertation, Kazan: KKhTI im. Kirova, 1990.

    Google Scholar 

  3. Gosman, A.D., Pun, V.M., Ranchel, A.K., et al., Chislennye metody issledovaniya techenii vyazkoi zhidkosti (Numerical Methods for Viscous Fluids), Moscow: Mir, 1972.

    Google Scholar 

  4. Landau, L.D. and Lifshits, E.M., Teoreticheskaya fizika (Theoretical Physics), vol. VI, Gidrodinamika, Moscow: Nauka, 1988.

    Google Scholar 

  5. Kats, V.Ya. and Ponikarov, V.Ya., Teor. Osnovy Khim. Tekhnol., 1990, vol. 24, no. 2, pp. 226–232.

    CAS  Google Scholar 

  6. Patrashev, A.N., Kivako, L.A., and Gozhii, G.I., Prikladnaya gidromekhanika (Applied Hydrodynamic), Moscow: Voennoe Izd., 1970.

    Google Scholar 

  7. Kochin, N.E., Kibel’, I.A., and Roze, N.V., Teoreticheskaya gidromekhanika (Theoretical Hydromechanics), Moscow: Fizmatgiz, 1963.

    Google Scholar 

  8. Bronshtein, I.N. and Semendyaev, K.A., Spravochnik po matematike dlya inzhenerov i uchashchikhsya vtuzov (Mathematical Handbook for Engineers and Students of Technical Colleges), Moscow: Nauka, 1981.

    Google Scholar 

  9. Vasil’tsov, E.L. and Ushakov, V.G., Apparaty dlya peremeshivaniya zhidkikh sred. Sprav. Posobie (Apparatuses for Agitating Liquid Media. Handbook), Leningrad: Mashinostroenie, 1979.

    Google Scholar 

  10. Streeter, V.L., Wylie, E.B., and Bedford, K.W., Fluid Mechanics, McGraw-Hill Book Co., 1998.

Download references

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Correspondence to V. Ya. Kats.

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Original Russian Text © V.Ya. Kats, G. Mazor, 2010, published in Khimicheskaya Promyshlennost’, 2010, Vol. 88, No. 3, pp. 139–153.

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Kats, V.Y., Mazor, G. Hydrodynamics of a centrifugal turbine agitator-pump. Russ J Appl Chem 84, 1655–1669 (2011). https://doi.org/10.1134/S1070427211090345

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  • DOI: https://doi.org/10.1134/S1070427211090345

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