Substitution of equations for evaluation of energy consumption in rotor-stator mixers

Authors

DOI:

https://doi.org/10.20535/2521-1943.2022.6.2.265218

Keywords:

rotor-stator mixer, power, pressure, flow rate

Abstract

In the presented publication, an attempt to develop the theory of mixing by considering rotor-stator mixers from the standpoint of mechanical mixing devices was made.

The results of the research on energy consumption are given in the form of analytically substituted expressions for determining power and pressure difference as well as a flow rate in a stage of rotor-stator mixer composed of a pair of the perforated rotor and stator elements with a gap between them, depending on the features of the design, dynamic characteristics of the rotor and flows. The interrelationships between power, pressure difference, and flow rate in the stages of rotor-stator mixers are established. This makes it possible to define the characteristics of mixers, carry out their calculations and reasonably accept the rational design and processing parameters. The peculiarities of the components in obtained equations are indicated. Partial cases of the equations for power consumption in stages of rotor-stator-mixers operated in pulse and impulse modes are considered. The invariant form of obtained equations would help to ease the scaling of rotor-stator mixers.

References

  1. M.A. Balabudkin, Rotorno-pul'sacionnye apparaty v himiko-farmacevticheskoj promyshlennosti, Moscow: Medicina, 1983.
  2. М.А. Promtov, A.Yu. Stepanov and A.V. Aleshin, Metody rascheta harakteristik rotornogo impul'snogo apparata, Tam-bov: FGBOU VPO “TGTU”, 2015.
  3. V.A. Atiemo-Obeng and R. Calabrese, “Rotor-stator mixing devices,” in Handbook of Industrial Mixing, E.L. Paul, V.A. Atiemo-Obeng and S.M. Kresta, Eds., Hoboken, NJ, USA: Wiley, 2004. ch. 8, pp. 479–505.
  4. V. Vashisth, K.D.P. Nigam and V. Kumar “Design and development of high shear mixers: Fundamentals, applications and recent progress,” Chem. Eng. Sci., vol. 232, article 116296, Mar. 2021, doi: 10.1016/j.ces.2020.116296
  5. J. Zhang, S. Xu and W. Li “High shear mixers: A review of typical applications and studies on power draw, slot pattern, energy dissipation and transfer properties,” Chem. Eng. and Process.: Process Intensification, vol. 57–58, pp. 25–41, Jul.-Aug. 2012, doi: 10.1016/j.cep.2012.04.004.
  6. T.P. John, J.S. Panesar, A. Kowalski, T.L. Rodgers and C.P. Fonte “Linking power and flow in rotor-stator mixers”, Chem. Eng. Sci., Vol. 207, pp. 504–515, Nov. 2019, doi: 10.1016/j.ces.2019.06.039.
  7. B.A. Minnick, J.W. Kim, D.I. Ko, R.V. Calabrese “Flow and power characteristics of an axial discharge rotor-stator mix-er”, Chem. Eng. Res. and Design, Vol. 136, pp. 477–490, Aug. 2018, doi: 10.1016/j.cherd.2018.05.015.
  8. M.A. Balabudkin, “Calculation of power consumption in rotary-pulsation apparatuses,” Khimiko-Farmatsevticheskii Zur-nal, No. 3, pp. 124–128, 1977.
  9. A.G. Kasatkin, Osnovnye processy i apparaty himicheskoj tekhnologii, Moscow: Himiya, 1973.
  10. Z. Shterbachek and P. Tausk, Peremeshivanie v himicheskoj promyshlennosti, Leningrad: Gosudarstvennoe nauchno-tekhnicheskoe izdatel'stvo himicheskoj literatury (In Russian), 1963.
  11. V.A. Zimnickij, A.V. Kaplun, A.N. Papir and V.A. Umov Lopastnye nasosy: spravochnik, Leningrad: Mashinostroenie, 1986.
  12. М.А. Promtov “Analysis of basic parameters of radial types of pulsed rotary equipment,” Chem. and Petroleum Eng., No. 9, pp. 13–15, 2009.

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Published

2022-10-01

How to Cite

[1]
O. Seminskyi, “Substitution of equations for evaluation of energy consumption in rotor-stator mixers”, Mech. Adv. Technol., vol. 6, no. 2, pp. 124–129, Oct. 2022.

Issue

Vol. 6 No. 2 (2022)

Section

Mechanics

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Copyright (c) 2022 Олександр Семінський

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