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Numerical simulation of flow in Hartmann resonance tube and flow in ultrasonic gas atomizer

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Abstract

The gas flow in the Hartmann resonance tube is numerically investigated by the finite volume method based on the Roe solver. The oscillation of the flow is studied with the presence of a needle actuator set along the nozzle axis. Numerical results agree well with the theoretical and experimental results available. Numerical results indicate that the resonance mode of the resonance tube will switch by means of removing or adding the actuator. The gas flow in the ultrasonic gas atomization (USGA) nozzle is also studied by the same numerical methods. Oscillation caused by the Hartmann resonance tube structure, coupled with a secondary resonator, in the USGA nozzle is investigated. Effects of the variation of parameters on the oscillation are studied. The mechanism of the transition of subsonic flow to supersonic flow in the USGA nozzle is also discussed based on numerical results.

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References

  1. Hartmann J, Trolle B. A new acoustic generator[J]. J Sci Instr, 1927, 4(4):101–111.

    Article  Google Scholar 

  2. Brocher E, Maresca A, Bournay M H. Fluid dynamics of the resonance tube[J]. J Fluid Mech, 1970, 43(2):369–384.

    Article  Google Scholar 

  3. Sarohia V, Back L H. Experimental investigation of flow and heating in a resonance tube[J]. J Fluid Mech, 1979, 94(4):649–672.

    Article  Google Scholar 

  4. Hamed A, Das K, Basu D. Numerical simulation of unsteady flow in resonance tube[R]. AIAA 2002–1118, 2002.

  5. Hamed A, Das K, Basu D. Numerical simulation and parametric study of Hartmann-sprenger tube based powered device[R]. AIAA-2003-0550, 2003.

  6. Hamed A, Das K, Basu D. Characterization of powered resonance tube for high frequency actuation[R]. FEDSM2003-45472, 2003.

  7. Raman G, Khanafseh S, Cain A B, Kerschen E. Development of high bandwidth powered resonance tube actuators with feedback control[J]. Journal of Sound and Vibration, 2004, 269:1031–1062.

    Article  Google Scholar 

  8. Murugappan S, Gutmark E. Parametric study of the Hartmann-Sprenger tube[J]. Experiments in Fluids, 2005, 38(6):813–823.

    Article  Google Scholar 

  9. Grant N J. Rapid solidification of metallic particulates[J]. Journal of Metals, 1983, 35:20–26.

    Google Scholar 

  10. Zhou Z W, Tang X D. The effect of the pulsation in gas flow on the stability of melted metal jet[C]. Fourth International Conference on Spray Forming, USA, 1999.

  11. Veistinen M K, Lavernia E J, Baram J C, Grant N J. Jet behavior in ultrasonic gas atomization[J]. The International Journal of Powder Metallurgy, 1989, 25(2):89–92.

    Google Scholar 

  12. Mansour A, Chigier N, Shih T, Kozarek R L. The effects of the Hartman cavity on the performance of the USGA nozzle needed for Aluminum spray forming[J]. Atomization and Sprays, 1998, 8(1):1–24.

    MATH  Google Scholar 

  13. Roe P L. Approximate Riemann solvers, parameter vectors, and difference schemes[J]. Journal of Computational Physics, 1981, 43(2):357–372.

    Article  MATH  MathSciNet  Google Scholar 

  14. Brocher E, Duport E. Resonance tubes in a subsonic flowfield[J]. AIAA Journal, 1988, 26(5):548–552.

    Article  Google Scholar 

  15. Morch K A. A theory for the mode of operation of the Hartmann air jet generator[J]. J Fluid Mech, 1964, 20(1):141–159.

    Article  MATH  Google Scholar 

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Correspondence to Zhou Zhe-wei  (周哲玮).

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Contributed by ZHOU Zhe-wei

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Li, B., Hu, Gh. & Zhou, Zw. Numerical simulation of flow in Hartmann resonance tube and flow in ultrasonic gas atomizer. Appl. Math. Mech.-Engl. Ed. 28, 1415–1426 (2007). https://doi.org/10.1007/s10483-007-1101-6

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  • DOI: https://doi.org/10.1007/s10483-007-1101-6

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Chinese Library Classification

2000 Mathematics Subject Classification

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