**Key words: **valve submersible electric motor, viscous friction losses, rotor-stator clearance, friction torque, power losses, the Taylor flow.

Currently valve submersible electric motors find more and more application in oil recovery by vane pumps. Their advantages over traditionally used asynchronous electric motors are as follows: higher efficiency, greater range of shaft speed, higher reliability. One of the design features of the valve electric motors is the possibility of increasing the rotor – stator clearance, as it can be increased while maintaining the original strength of the magnetic field due to changes in the magnets radial thickness.

Typically at electric motors calculating the empirical relationships are used, which taking into account the total mechanical losses as viscous friction in the rotor – stator clearance, and friction in the bearings. These relationships are obtained by bench testing samples of already existing electric motors. It is clear that at the design of new products these relationships can't be used. Therefore, at designing new submersible electric motors another approach is required, allowing to calculate the losses based on the supposed construction.

In this paper we propose a method of numerical calculation of viscous friction losses in the rotor-stator clearance of valve submersible electric motors by means of computational fluid dynamics. The technique has been tested on three types of flows: laminar axial-symmetric, laminar Taylor and developed turbulent. The calculation of rotor – stator clearance effect on viscous losses for valve submersible electric motor PED63-117 in the frequency range from 3000 to 10000 min^{-1} was fulfilled. It is determined, that at frequencies up to 5000 min^{-1} viscous losses lead to inessential efficiency reduction (less than 0.5 %), but at high frequencies it reaches 5 %.

References

1. Elektronnaya kniga po elektromekhanike (E-book on electromechanics),

URL: http://elib.spbstu.ru/dl/059/Contents.html

2. Santalov A., Perel'man O., Rabinovich A. et al., Neftegazovaya vertikal' –

Oil & Gas Vertical, 2011, no. 12, pp. 58 – 65.

3. Khotsyanov I.D., Issledovanie vozmozhnostey i razrabotka sredstv sovershenstvovaniya seriynykh pogruzhnykh ventil'nykh elektrodvigateley neftedobyvayushchikh nasosov (Investigation of possibilities and development of

means to improve the production of AC electric motors of submersible

pumps): Thesis of the candidate of technical science, Moscow, 2012.

4. Kopylov I.A., Klokov B.K., Morozkin V.P., Tokarev B.F., Proektirovanie elektricheskikh mashin (Design of electrical machines), Moscow: Vysshaya shkola

Publ., 2005, 767 p.

5. Monin A.S., Yaglom A.M., Statisticheskaya gidromekhanika (Statistical Fluid

Mechanics), Moscow: Nauka Publ., 1965, 641 p.

6. Aleksenskiy V.A., Zharkovskiy A.A., Pugachev P.V., Izvestiya Samarskogo

nauchnogo tsentra RAN, 2011, V. 13, no. 1(2), pp. 407–410.

7. Svoboda D.G., Zharkovskiy A.A., Pugachev P.V., Donskoy A.S., Izvestiya

Samarskogo nauchnogo tsentra RAN, 2012, V. 14, no. 1(2), pp. 685 – 688.

8. Belov I.A., Isaev S.A., Modelirovanie turbulentnykh techeniy (Modeling of

turbulent flows), St. Peterburg: Publ. of Baltic State Technical University, 2001,

108 p.

9. Drazin P.G., Introduction to hydrodynamic stability, Cambridge University

Press, 2002. 258 r.

10. Landau L.D., Lifshits E.M., Gidrodinamika (Hydrodynamics), Moscow: Fizmatlit Publ., 2001, 736 p.

11. King G.P., Li Y., Swinney H.L., Marcus P.S., Wave speeds in wavy Taylor-vortex flow, J. Fluid. Mech., 1984, V. 141, pp. 365-390.

12. Barsilon A., Brindley J., Organized structures in turbulent Taylor-Couette

flow, J. Fluid. Mech., 1984, V. 143, pp. 429-449.

13. Lewis G.S., Swinney H.L., Velocity structure functions, scaling, and transitions

in high-Reynolds-number Couette-Taylor flow, Phys. Rev. E., 1999, V. 59,

pp. 5457-5467.

14. Eckhardt B., Grossman S., Lohse G., Scaling of global momentum transport

in Taylor-Couette and pipe flow, Eur. Phys. – J.B., 2000, V. 18, pp. 541-544.

15. Balonishnikov A.M., Zhurnal tekhnicheskoy fiziki – Technical Physics. The Russian Journal of Applied Physics, 2003, V. 73, no. 2, pp. 139-140

**Key words: **valve submersible electric motor, viscous friction losses, rotor-stator clearance, friction torque, power losses, the Taylor flow.

Currently valve submersible electric motors find more and more application in oil recovery by vane pumps. Their advantages over traditionally used asynchronous electric motors are as follows: higher efficiency, greater range of shaft speed, higher reliability. One of the design features of the valve electric motors is the possibility of increasing the rotor – stator clearance, as it can be increased while maintaining the original strength of the magnetic field due to changes in the magnets radial thickness.

Typically at electric motors calculating the empirical relationships are used, which taking into account the total mechanical losses as viscous friction in the rotor – stator clearance, and friction in the bearings. These relationships are obtained by bench testing samples of already existing electric motors. It is clear that at the design of new products these relationships can't be used. Therefore, at designing new submersible electric motors another approach is required, allowing to calculate the losses based on the supposed construction.

In this paper we propose a method of numerical calculation of viscous friction losses in the rotor-stator clearance of valve submersible electric motors by means of computational fluid dynamics. The technique has been tested on three types of flows: laminar axial-symmetric, laminar Taylor and developed turbulent. The calculation of rotor – stator clearance effect on viscous losses for valve submersible electric motor PED63-117 in the frequency range from 3000 to 10000 min^{-1} was fulfilled. It is determined, that at frequencies up to 5000 min^{-1} viscous losses lead to inessential efficiency reduction (less than 0.5 %), but at high frequencies it reaches 5 %.

References

1. Elektronnaya kniga po elektromekhanike (E-book on electromechanics),

URL: http://elib.spbstu.ru/dl/059/Contents.html

2. Santalov A., Perel'man O., Rabinovich A. et al., Neftegazovaya vertikal' –

Oil & Gas Vertical, 2011, no. 12, pp. 58 – 65.

3. Khotsyanov I.D., Issledovanie vozmozhnostey i razrabotka sredstv sovershenstvovaniya seriynykh pogruzhnykh ventil'nykh elektrodvigateley neftedobyvayushchikh nasosov (Investigation of possibilities and development of

means to improve the production of AC electric motors of submersible

pumps): Thesis of the candidate of technical science, Moscow, 2012.

4. Kopylov I.A., Klokov B.K., Morozkin V.P., Tokarev B.F., Proektirovanie elektricheskikh mashin (Design of electrical machines), Moscow: Vysshaya shkola

Publ., 2005, 767 p.

5. Monin A.S., Yaglom A.M., Statisticheskaya gidromekhanika (Statistical Fluid

Mechanics), Moscow: Nauka Publ., 1965, 641 p.

6. Aleksenskiy V.A., Zharkovskiy A.A., Pugachev P.V., Izvestiya Samarskogo

nauchnogo tsentra RAN, 2011, V. 13, no. 1(2), pp. 407–410.

7. Svoboda D.G., Zharkovskiy A.A., Pugachev P.V., Donskoy A.S., Izvestiya

Samarskogo nauchnogo tsentra RAN, 2012, V. 14, no. 1(2), pp. 685 – 688.

8. Belov I.A., Isaev S.A., Modelirovanie turbulentnykh techeniy (Modeling of

turbulent flows), St. Peterburg: Publ. of Baltic State Technical University, 2001,

108 p.

9. Drazin P.G., Introduction to hydrodynamic stability, Cambridge University

Press, 2002. 258 r.

10. Landau L.D., Lifshits E.M., Gidrodinamika (Hydrodynamics), Moscow: Fizmatlit Publ., 2001, 736 p.

11. King G.P., Li Y., Swinney H.L., Marcus P.S., Wave speeds in wavy Taylor-vortex flow, J. Fluid. Mech., 1984, V. 141, pp. 365-390.

12. Barsilon A., Brindley J., Organized structures in turbulent Taylor-Couette

flow, J. Fluid. Mech., 1984, V. 143, pp. 429-449.

13. Lewis G.S., Swinney H.L., Velocity structure functions, scaling, and transitions

in high-Reynolds-number Couette-Taylor flow, Phys. Rev. E., 1999, V. 59,

pp. 5457-5467.

14. Eckhardt B., Grossman S., Lohse G., Scaling of global momentum transport

in Taylor-Couette and pipe flow, Eur. Phys. – J.B., 2000, V. 18, pp. 541-544.

15. Balonishnikov A.M., Zhurnal tekhnicheskoy fiziki – Technical Physics. The Russian Journal of Applied Physics, 2003, V. 73, no. 2, pp. 139-140