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Residual surface topology modeling and simulation analysis for micro-machined nozzle

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Abstract

The performance of the micro nozzle is determined primarily by its machined surface topology. A circular cross-section micro-Laval nozzle is modeled and studied by using numerical simulation in this paper. The geometry of residual height and residual area of machined nozzle surface with flat-end milling cutter and ball-end milling cutter are created. It is found that the ball end milling cutter with large diameter is better than the flat one for nozzle finishing operations. The nozzle velocity performance is also revealed in this research. When residual height increased from 0.6 μm to 9.6 μm for nozzle with throat diameter less than 2 mm, the maximum outlet velocity of nozzle reduced gradually. The maximum outlet velocity of nozzle remains stable for the nozzle with throat diameter greater than 2 mm. The results show that the maximum outlet velocity of nozzle significantly reduces with throat diameter decreasing under constant residual height. Based on the analysis about velocity boundary layer, when residual height changing from 0.6 μm to 9.6 μm, the nozzle with throat diameter is 1 mm, has the boundary layer thickness ranging from 5% to 14% of outlet radius.

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Abbreviations

M e :

the design Mach number for nozzle outlet

r e :

outlet radius of nozzle

r in :

inlet radius of nozzle

L in :

convergent length of nozzle

A e :

outlet area of nozzle

A t :

throat area of nozzle

γ :

the specific heat ratio

h :

surface residual height

s 1 :

surface residual area

R :

the radius of cutter

α :

the half angle of divergent section

a p :

axial cutting depth

d :

nozzle throat diameter

y :

the coordinate values along the radial of the nozzle outlet

h b :

boundary layer thickness

References

  1. Hansen, W. W., Janson, S. W., and Helvajian, H., “Reduction in Ignition Energy for Single-Shot Microthrusters using Pulsedlaser Excitation,” Proc. of SPIE, pp. 743–751, 2002.

    Google Scholar 

  2. La Torre, F., Kenjereš, S., Moerel, J. L., and Kleijn, C., “Hybrid Simulations of Rarefied Supersonic Gas Flows in Micro-Nozzles,” Computers & Fluids, Vol. 49, No. 1, pp. 312–322, 2011.

    Article  MATH  MathSciNet  Google Scholar 

  3. Horisawa, H., Sawada, F., Onodera, K., and Funaki, I., “Numerical Simulation of Micro-Nozzle and Micro-Nozzle-Array Flowfield Characteristics,” Vacuum, Vol. 83, No. 1, pp. 52–56, 2008.

    Article  Google Scholar 

  4. Torre, F. L., Kenjeres, S., Kleijn, C. R., and Moerel, J. L. P., “Effects of Wavy Surface Roughness on the Performance of Micronozzles,” Journal of Propulsion and Power, Vol. 26, No. 4, pp. 655–662, 2010.

    Article  Google Scholar 

  5. Rossi, C., Rouhani, M. D., and Estève, D., “Prediction of the Performance of a Si-Micromachined Microthruster by Computing the Subsonic Gas Flow Inside the Thruster,” Sensors and Actuators A: Physical, Vol. 87, No. 1, pp. 96–104, 2000.

    Article  Google Scholar 

  6. Chen, W., Fan, W., Zhang, Q., Peng, C., Yuan, C., and Yan, C., “Experimental Investigation of Nozzle Effects on Thrust and Inlet Pressure of an Air-Breathing Pulse Detonation Engine,” Chinese Journal of Aeronautics, Vol. 25, No. 3, pp. 381–387, 2012.

    Article  Google Scholar 

  7. Lin, C. X. and Gadepalli, V. V. V., “A Computational Study of Gas Flow in a DeLaval Micronozzle at different Throat Diameters,” International Journal for Numerical Methods in Fluids, Vol. 59, No. 11, pp. 1203–1216, 2009.

    Article  MATH  MathSciNet  Google Scholar 

  8. Hao, P. F., Ding, Y. T., Yao, Z. H., He, F., and Zhu, K. Q., “Size Effect on Gas Flow in Micro Nozzles,” Journal of Micromechanics and Microengineering, Vol. 15, No. 11, pp. 2069–2073, 2005.

    Article  Google Scholar 

  9. Köhler, J., Bejhed, J., Kratz, H., Bruhn, F., Lindberg, U., et al., “A Hybrid Cold Gas Microthruster System for Spacecraft,” Sensors and Actuators A: Physical, Vol. 97–98, pp. 587–598, 2002.

    Article  Google Scholar 

  10. Bayt, R. L., Breuer, K. S., and Ayon, A. A., “DRIE-Fabricated Nozzles for Generating Supersonic Flows in Micropropulsion Systems,” Proc. of Sensors and Actuators Workshop, pp. 312–315, 1998.

    Google Scholar 

  11. Modica, F., Ferraris, E., Trotta, G., Fassi, I., and Reynaerts, D., “Fabrication of Micro-Nozzles Via μ-Edm Process,” Proc. of International Conference on Advances in Materials and Processing Technologies, pp. 1261–1266, 2011.

    Google Scholar 

  12. Louwerse, M. C., Jansen, H. V., Groenendijk, M. N. W., and Elwenspoek, M., “Nozzle Fabrication for Micropropulsion of a Microsatellite,” Journal of Micromechanics and Microengineering, Vol. 19, No. 4, Paper No. 045008, 2009.

    Google Scholar 

  13. Chu, W. S., Beak, C. I., Ahn, S. H., and Cho, T. H., “Rapid Prototyping and Testing of 3D Micro Rockets using Mechanical Micro Machining,” Journal of Mechanical Science and Technology, Vol. 20, No. 1, pp. 85–93, 2006.

    Article  Google Scholar 

  14. Louisos, W. F., Alexeenko, A. A., Hitt, D. L., and Zilic, A., “Design Considerations for Supersonic Micronozzles,” International Journal of Manufacturing Research, Vol. 3, No. 1, pp. 80–113, 2008.

    Article  Google Scholar 

  15. Shin, H. S., Park, M. S., Kim, B. H., and Chu, C. N., “Recent Researches in Micro Electrical Machining,” Int. J. Precis. Eng. Manuf., Vol. 12, No. 2, pp. 371–380, 2011.

    Article  Google Scholar 

  16. Wang, S. M., Lin, J. J., Ye, Z. Z., Tsooj, S., and Wang, C. C., “A Micro Cutter Auto-Alignment System with on-Machine Positioning Error Measurement and Compensation Methods,” Int. J. Precis. Eng. Manuf., Vol. 15, No. 1, pp. 177–182, 2014.

    Article  Google Scholar 

  17. Sutton, G. P., and Biblarz, O., “Rocket Propulsion Elements,” Wiley, pp. 50–51, 2001.

    Google Scholar 

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Authors and Affiliations

  1. Key Laboratory of High Efficiency and Clean Mechanical Manufacture, Ministry of Education, School of Mechanical Engineering, Shandong University, Jinan, 250061, China

    Yukui Cai, Zhanqiang Liu, Zhenyu Shi, Qinghua Song & Yi Wan

Authors
  1. Yukui Cai
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  2. Zhanqiang Liu
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  3. Zhenyu Shi
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  4. Qinghua Song
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  5. Yi Wan
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Correspondence to Zhanqiang Liu.

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Cai, Y., Liu, Z., Shi, Z. et al. Residual surface topology modeling and simulation analysis for micro-machined nozzle. Int. J. Precis. Eng. Manuf. 16, 157–162 (2015). https://doi.org/10.1007/s12541-015-0020-6

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  • DOI: https://doi.org/10.1007/s12541-015-0020-6

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