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Shock-cell spacings of underexpanded sonic jets emerging from elliptic nozzles

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Abstract

The shock-cell structures of underexpanded sonic jets emerging from an elliptic convergent nozzle with an aspect ratio of 2 at the exit are investigated using rainbow schlieren deflectometry. A rainbow filter with fine color gradations is placed perpendicular to the nozzle axis in the schlieren cut-off plane. Experiments are performed under a nozzle pressure ratio (NPR) of 2.0, 3.0, and 4.0; the NPR can be defined as the ratio of the stagnation pressure upstream of the nozzle to the back pressure. The flow features of the jet major and minor axis plane views are demonstrated with hue variations approximately proportional to the streamwise density gradients in the jets. In addition, the shock-cell spacings of elliptic underexpanded sonic jets are obtained for various NPRs and compared quantitatively with an approximate solution using the modified vortex sheet model, where the characteristic length of the fully expanded jet is redefined from the original model proposed in a previous study. Furthermore, the effects of the aspect ratio at the nozzle exit on the shock-cell spacing are elucidated through a quantitative comparison between the experiment and model.

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Author notes

  1. M. M. Islam, T. Miyaguni, S. Nakao and Y. Miyazato have contributed equally to this work.

Authors and Affiliations

  1. Department of Mechanical Systems Engineering, The University of Kitakyushu, 1-1 Hibikino, Wakamatsu-ku, Kitakyushu, 808-0135, Japan

    Tatsuya Nagata, Muhammad Minarul Islam, Takeshi Miyaguni, Shinichiro Nakao & Yoshiaki Miyazato

  2. Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj, 8100, Bangladesh

    Muhammad Minarul Islam

Authors
  1. Tatsuya Nagata
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  2. Muhammad Minarul Islam
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  3. Takeshi Miyaguni
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  4. Shinichiro Nakao
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  5. Yoshiaki Miyazato
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Correspondence to Yoshiaki Miyazato.

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Nagata, T., Islam, M.M., Miyaguni, T. et al. Shock-cell spacings of underexpanded sonic jets emerging from elliptic nozzles. Exp Fluids 63, 111 (2022). https://doi.org/10.1007/s00348-022-03463-0

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  • DOI: https://doi.org/10.1007/s00348-022-03463-0

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