Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
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Experimental Study of Pressure Drop in Compressible Fluid through Porous Media

다공성재를 통과하는 압축성 유체의 압력강하에 관한 실험적 연구

  • Seo, Min Kyo (Hanwha Corporation Defence R&D Center) ;
  • Kim, Do Hun (School of Aerospace & Mechanical Engineering, Korea Aerospace Univ.) ;
  • Seo, Chan Woo (School of Aerospace & Mechanical Engineering, Korea Aerospace Univ.) ;
  • Lee, Seoung Youn (School of Aerospace & Mechanical Engineering, Korea Aerospace Univ.) ;
  • Jang, Seok Pil (School of Aerospace & Mechanical Engineering, Korea Aerospace Univ.) ;
  • Koo, Jaye (School of Aerospace & Mechanical Engineering, Korea Aerospace Univ.)
  • 서민교 ((주)한화 종합연구소) ;
  • 김도헌 (한국항공대학교 항공우주및기계공학부) ;
  • 서찬우 (한국항공대학교 항공우주및기계공학부) ;
  • 이승윤 (한국항공대학교 항공우주및기계공학부) ;
  • 장석필 (한국항공대학교 항공우주및기계공학부) ;
  • 구자예 (한국항공대학교 항공우주및기계공학부)
  • Received : 2013.01.18
  • Accepted : 2013.04.23
  • Published : 2013.08.01
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Abstract

This study proposes the characteristics of the pressure drop in a compressible fluid through porous media for application to a porous injector in a liquid rocket engine in order to improve the uniformity of the drop size distribution and the mixing performance of shear coaxial injectors. The fluid through the porous media is a Non-Darcy flow that shows a Nonlinear relation between the pressure drop and the velocity at high speed and high mass flow rate. The pressure drop of the Non-Darcy flow can be derived using the Forchheimer equation that includes the losses of viscous and inertia resistance. The permeability and Ergun coefficient represented as a function of the pressure drop and pore size can be applied to the porous injector, where the fluid through the porous media is compressible. A generalized correlation between the pressure drop in relation to the pore size was derived.

동축형 전단 분사기의 액적분포 균일도 및 혼합성능을 개선하기 위해 고안한 액체로켓 엔진용 동축형 다공성 분사기의 개발에 앞서 다공성재를 분사기에 적용하기 위해 다공성재를 통과하는 압축성 유체의 압력강하 특성을 파악하였다. Non-Darcy 유동의 압력강하는 점성력과 관성력으로 인한 손실을 포함하는 Forchheimer 방정식을 이용하여 도출할 수 있으며, 이 때 다공성재의 형상인자인 투과율과 관성력의 영향을 나타내는 Ergun 상수를 이용하여 다공성재를 통과하는 압축성 유체의 압력강하를 예측할 수 있다. 본 연구에서는 다공성재의 압력강하 특성을 나타내는 투과율와 Ergun 상수를 작동유체의 압력강하에 대한 함수로 나타내었으며, 최종적으로 이를 일반화하여 pore의 크기에 따라 압력강하를 예측할 수 있는 관계식을 도출하였다.

Keywords

References

  1. Deeken, J., Suslov, D., Haidn, O. and Schlechtien, S., 2010, "Design and Testing of A Porous Injector Head for Transpiration Cooled Combustion Chamber," 48h AIAA Aerospace Science Meeting Including the New Horizons Forum and Aerospace Exposition, AIAA 2010-1595.
  2. Lux, J., Sulslov, D. and Haidn, O., 2008, "Experimental Investigation of Porous Injectors for Liquid Propellant Rocket Engine," 44th AIAA/ASME/SAE/ASEE Joint Propellant Conference & Exhibit, American Institute of Aeronautics and Astronautics, Hartford, CT, AIAA 2008-4563.
  3. Sozer, E., Shyy, W. and Thakur, S., 2006, "Multi-Scale Porous Media Modeling for Liquid Rocket Injector Applications," 42th AIAA/ ASME/SAE/ASEE Joint Propulsion Conference & Exhibit, AIAA 2006-5044.
  4. Kim D. H., Seo M. K., Lee I. C. and Koo J. Y., 2012, "Effect of Weber Number and Momentum Flux Ratio on Macroscopic Characteristics of Spray from a Coaxial Porous Injector," Journal of the Korean Society of Propulsion Engineers, Vol. 16, No. 5, pp. 1-9. https://doi.org/10.6108/KSPE.2012.16.5.001
  5. Kaviany, M., 1995, "Principles of Heat Transfer in Porous Media," Springer-Verlag, New York.
  6. Son Y. S., Shin J. Y. and Cho Y. I., 2009, "Heat Transfer and Pressure Drop Characteristics of a Horizontal Channel Filled with Porous Media," Journal of the Korean Society of Marine Engineering, Vol. 33, No. 2, pp. 244-251. https://doi.org/10.5916/jkosme.2009.33.2.244
  7. Beavers, G. S. and Sparrow, E. M., 1969, "Non-Darcy Flow Through Fibrous Porous Media," ASME Journal of Applied Mechanics, Transactions of the ASME, Vol. 36, pp. 711-714. https://doi.org/10.1115/1.3564760
  8. Noh, J. S., Han, Y. H., Lee, K. B. and Lee, C. G., 2006, "Heat Transfer and Flow Characteristics in an Annulus Filled with Aluminum Form," Journal of Energy Engineering, Vol. 15, No. 1. pp. 60-66.
  9. Tully, L. R., Omar, A., Chung, J. N. and Carroll, B. F., 2005, "Fluid Flow and Heat Transfer in a Liquid Rocket Fuel Injector," AIAA 2005-4127.