Flow dynamics in the radial-annular cavity of turbomachines

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Abstract

This paper considers the problem of modeling a rotational flow in the radial-annular cavity of turbo machines with fixed walls. This case corresponds to the boundary conditions of the supply channel for a radial centripetal turbine. In the presented model, the flow is conventionally divided into radial and circumferential movement. The radial component of the velocity is determined by the mass flow rate from the continuity equation, the circumferential component is formed by the tangential channel supply. The main equation in the integration is the equation of the change in the momentum for the flow in the form of the Euler equation. In the case of the circumferential component of the velocity, the angular momentum law is used, assuming the potentiality of the flow and the constancy of the angular momentum within the integration step. As a result of the transformations of the motion equations, differential equations for the radial, circumferential component of velocity and static pressure are obtained, which represent a certain system of three equations in three unknowns. The system of equations allows integration under known boundary conditions at the inlet; as a result of integration, it is possible to obtain the field of distributions of velocities and pressures along the radius of the radial-annular cavity. The results of the study can be used in modeling the circumferential and radial forces on the rotor (impeller) of turbo machines.

About the authors

Alexander A. Kishkin

Reshetnev Siberian State University of Science and Technology

Author for correspondence.
Email: spsp99@mail.ru

Dr. Sc., professor, head of the Department of refrigeration, cryogenic engineering and conditioning; Reshetnev Siberian State University of Science and Technology

Russian Federation, 31, Krasnoyarskii rabochii prospekt, Krasnoyarsk, 660037

Yulia N. Shevchenko

Reshetnev Siberian State University of Science and Technology

Email: gift_23j@mail.ru

head of the laboratories of the Department of refrigeration, cryogenic engineering and conditioning; Reshetnev Siberian State University of Science and Technology

Russian Federation, 31, Krasnoyarskii rabochii prospekt, Krasnoyarsk, 660037

References

  1. Bader P., Pschernig M., Sanz W. et al. Experimental investigation of boundary layer relaminarization in accelerated flow. Journal of Fluids Engineering, Transactions of the ASME. 2018, Vol. 140, Iss. 8, P. 081201.
  2. Ju G., Li J., Li K. A novel variational method for 3D viscous flow in flow channel of turbomachines based on differential geometry. Applicable Analysis. 2020, Vol. 99, Iss. 13, P. 2322–2338.
  3. Takizawa K., Tezduyar T. E., Hattori H. Computational analysis of flow-driven string dynamics in turbomachinery. Computers and Fluids. 2017, Vol. 142, P. 109–117.
  4. Morgese G., Fornarelli F., Oresta P. et al. Fast design procedure for turboexpanders in pressure energy recovery applications. Energies. 2020. Vol. 13, Issue 14. P. 3669.
  5. Agromayor R., Müller B., Nord L.O. One-dimensional annular diffuser model for preliminary turbomachinery design. International Journal of Turbomachinery, Propulsion and Power. 2019, Vol. 4, Iss. 3. doi: 10.3390/ijtpp4030031.
  6. Gregory-Smith D. G., Crossland S. C. Prediction of turbomachinery flow physics from CFD: review of recent computations of APPACET test cases. Task quarterly. 2001, No. 5 (4), P. 407–432.
  7. Potashev A. V., Potasheva E. V. [Design of impellers of turbomachines based on the solution of inverse boundary value problems]. Uchenyye zapiski Kazanskogo universiteta. Seriya Fiziko-matematicheskiye nauki. 2015, No. 157 (1), P. 128–140 (In Russ.).
  8. Chang H., Zhu F., Jin D., Gui X. Effect of blade sweep on inlet flow in axial compressor cascades. Chinese Journal of Aeronautics. 2015, Vol. 28, No. 1, P. 103–111.
  9. Xu H., Chang H., Jin D., Gui X. Blade bowing effects on radial equilibrium of inlet flow in axial compressor cascades. Chinese Journal of Aeronautics. 2017, No. 30(5), P. 1651–1659.
  10. Kudryavtsev I. A., Laskin A. S. [Aerodynamic improvement of the input devices of high-pressure cylinders of powerful steam turbines on the basis of numerical modeling]. Nauchno-tekhnicheskiye vedomosti SPbPU. Yestestvennyye i inzhenernyye nauki. 2016, No. 1 (238), P. 7–18 (In Russ.).
  11. Krivosheev I. A., Osipov E. V. [Using experimental methods to improve the characteristics of the gas path of turbines of GTE]. Vestnik Ufimskogo gosudarstvennogo aviatsionnogo tekhnicheskogo universiteta. 2010, No. 14 (3 (38)), P. 3–15 (In Russ.).
  12. Zhuikov D. A., Kishkin A. A., Zuev A. A. [Calculation of axial force during flow in end slots of turbomachines]. Izvestiya vysshikh uchebnykh zavedeniy. Severo-Kavkazskiy region. Tekhnicheskiye nauki. 2013, No. 1 (170), P. 24–27 (In Russ.).
  13. Smirnov P. N., Kishkin A. A., Zhuikov D. A. [Computational modeling of flow in the cavity of a disk pump]. Vestnik SibGAU. 2011, No. 4 (37), P. 196–201 (In Russ.).
  14. Zuev A. A., Nazarov V. P., Arngold A. A. et al. [Disk friction in determining the power balance of turbopump units of liquid-propellant rocket engines]. Vestnik Permskogo natsional'nogo issledovatel'skogo politekhnicheskogo universiteta. Aerokosmicheskaya tekhnika. 2019, No. 57, P. 17–31 (In Russ.).
  15. Smirnov P. N., Kishkin A. A., Zhuikov D. A. et al. [Moment of resistance of a disk rotating in a stream swirling according to the law of a rigid body]. Izvestiya vysshikh uchebnykh zavedeniy. Severo-Kavkazskiy region. Tekhnicheskiye nauki. 2012, No. 2, P. 36–41 (In Russ.).

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Copyright (c) 2020 Kishkin A.A., Shevchenko Y.N.

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