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The effect of non-equilibrium condensation on supersonic air flows over rectangular cavities

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Abstract

Numerical simulations have been carried out for a supersonic two-dimensional flow over open, rectangular cavities (length-to-depth ratios are L/D = 1.0 and 3.0) in order to investigate the effect of non-equilibrium condensation of moist air on supersonic internal flows around the cavity for the flow Mach number 1.83 at the cavity entrance. In the present computational investigation, a condensing flow was produced by an expansion of moist air in a Laval nozzle. The computational results showed that the upstream traveling compression waves become weaker than those without the condensation. Consequently, the weaker compression waves cannot excite the shear layer strongly and amplitudes of oscillation in the cavity became smaller than those without the condensation. The occurrence of the non-equilibrium condensation in case of L/D = 1.0 affected strongly the amplitude and frequency of oscillation in the cavity compared with L/D = 3.0.

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Abbreviations

a :

Speed of sound [m/s]

D :

Depth of cavity [mm]

f :

Frequency [Hz]

g :

Condensate mass fraction [-]

H :

Height [mm]

I :

Nucleation rate [1/(m3 s)]

L :

Length of cavity [mm]

M :

Mach number [-]

P :

Power spectrum density

p :

Pressure [Pa]

S :

Degree of supersaturation [-]

t :

Time [s]

u :

Velocity [m/s]

x,y :

Cartesian coordinates [mm] Subscripts

1:

Upstream of compression wave

2:

Downstream of compression wave

0:

Stagnation point

nc:

No condensation

wc:

With condensation

∞:

main flow

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Authors and Affiliations

  1. Department of Mechanical Engineering, Khulna University of Engineering & Technology, Khulna, 9203, Bangladesh

    Miah MD. Ashraful Alam (Assistant Professor)

  2. Department of Mechanical Engineering, Saga University, 1, Honjo-machi, Saga-shi, Saga, 840-8502, Japan

    Md. Mahbubul Alam, Shigeru Matsuo, Kenbu Teramoto & Toshiaki Setoguchi

  3. School of Mechanical Engineering, College of Natural Science, Andong National University, 388, Song Cheon Dong, Andong, Kyung Pook, Republic of Korea

    Heuy Dong Kim

  4. Institute of Engineering Thermophysics, Chinese Academy of Sciences, P.O. Box 2706, Beijing, 100080, China

    Shen Yu

Authors
  1. Miah MD. Ashraful Alam
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  2. Md. Mahbubul Alam
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  3. Shigeru Matsuo
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  4. Kenbu Teramoto
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  5. Toshiaki Setoguchi
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  6. Heuy Dong Kim
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  7. Shen Yu
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Alam, M.M.A., Alam, M.M., Matsuo, S. et al. The effect of non-equilibrium condensation on supersonic air flows over rectangular cavities. J. of Therm. Sci. 16, 33–39 (2007). https://doi.org/10.1007/s11630-007-0033-2

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  • DOI: https://doi.org/10.1007/s11630-007-0033-2

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