Browse > Article
http://dx.doi.org/10.15435/JILASSKR.2017.22.3.137

Numerical Analysis of Cryogenic Liquid Nitrogen Jets at Supercritical Pressures using Multi-Environment Probability Density Function approach  

Jung, Kiyoung (한양대학교 기계공학과)
Kim, Namsu (한양대학교 기계공학과)
Kim, Yongmo (한양대학교 기계공학과)
Publication Information
Journal of ILASS-Korea / v.22, no.3, 2017 , pp. 137-145 More about this Journal
Abstract
This paper describes numerical modeling of transcritical and supercritical fluid flows within a liquid propellant rocket engine. In the present paper, turbulence is modeled by standard $k-{\varepsilon}$ model. A conserved scalar approach in conjunction with multi-environment probability density function model is used to account for the turbulent mixing of real-fluids in the transcritical and supercritical region. The two real-fluid equations of state and dense-fluid correction schemes for mixtures are used to construct thermodynamic data library based on the conserved scalar. In this study, calculations are made on two cryogenic nitrogen jets under different chamber pressures. Sensitivity analysis for two different real-fluid equations of sate is particularly emphasized. Based on numerical results, precise structures of cryogenic nitrogen jets are discussed in detail. Numerical results show that the current real-fluid model can predict the essential features of the cryogenic liquid nitrogen jets.
Keywords
Supercritical pressure; Multi-environment probability density function; Real fluid effects;
Citations & Related Records
연도 인용수 순위
  • Reference
1 J. Telaar, G. Schneider, J. Hussong and W. Mayer, "Cryogenic jet injection: Description of test case RCM1" in: Prooceedings 2nd Internaitional Workshop on Rocket Combustion Modeling, Lampoldshausen, Germay, March, 2001, pp. 25-27.
2 W. Mayer, J. Tellar, R. Branam, G. Schneider and J. Hussong,"Raman measurement of cryogenic injection at supercritical pressure", Heat and Mass Transfer, Vol. 39, 2003, pp. 709-719.   DOI
3 R. Branam and W. Mayer, "Characterisation of Cryogenic Injection at Supercritical pressure", Journal of Propulsion and Power, Vol. 19, No. 3, 2003, pp. 342-355.   DOI
4 M. Oschwald, J.J. Smith, R. Branam, J. Hussong, A. Shick, B. Chehroudi and D. Talley, "Injection of Fluids into Supercritical Environments", Combustion Science and Technology, Vol. 178, 2006, pp. 49-100.   DOI
5 M. Habiballah, M. Orain, F. Grisch, L. Vingert and P. Gicquel, "Experimental studies of high-pressure cryogenic flames on the Mascotte facility", Combustion Science and Technology, Vol. 178, 2006, pp. 101-128.   DOI
6 L. Vingert, A. Nicole and M. Habiballah, "The Mascotte single injector 60 bar het test for code validationtest-case specifications and some more experimental data", in: Proceedings of the 3rd International Workshop Rocket Combustion Modeling, Snecma, March, 2006.
7 T. H. Kim, S. K. Kim, Y. M. Kim, "Analysis for Local Structure of Gaseus Hydrogen/liquid Oxygen Flame at Supercritical Pressures", J. ILASS-KOREA, Vol. 15, No. 4, 2010, pp. 182-188.
8 T. H. Kim, S. K. Kim, Y. M. Kim, "Analysis of Gaseous Hydrogen/liquid Oxygen Combsution Processes at Supercritical State", J. ILASS-KOREA, Vol. 15, No. 4, 2010, pp. 189-194.
9 S. K. Kim, H. S. Choi, Y. M. Kim, "Thermodynamic modeling based on a generalized cubic equation of state for kerosene/Lox rocket combustion", Combustion and Flame, Vol. 159, 2012, pp. 1351-1365.   DOI
10 T. Kim, Y. Kim, S. Kim, "Numerical study of cryogenic liquid nitrogen jets at supercritical pressures", Journal of Super Critical Fluids, Vol. 56, 2011, pp. 152-163.   DOI
11 H. Müller, C. A. Niedermeir, J. Matheis, M. Pfitzner, S. Hickel, "Large-eddy simulation of nitrogen injection at trans-and supercritical conditions", Physics of Fluids, Vol. 28, No. 1, 2016.
12 G. Soave, "Equilibrium constant form a modified Redlich-Kwong equation of state", Chemical Engineering Science, Vol. 27, No. 6, 1972, pp. 1197-1203.   DOI
13 Michael S. Graboski, Thomas E. Daubert. "A Modified Soave Equation of State for Phase Equilibrium Calculations. 3. Systems Containing Hydrogen", Ind. Eng. Chem. Process Des. Dev., Vol. 17, No. 4, 1978, pp. 443-448.   DOI
14 Ding-Yu Peng, Donald B. Robinson, "A New Two-Constant Equation of State", Industrial and Engineering Chemical Fundamental, Vol. 15, No. 1, 1976, pp. 59-64.
15 T. H Chung, M. Ajlan, L. L. Lee, K E. Starling, "Generalized multiparameter correlation for nonpolar and polar fluid transport properties", Ind. Chem. Eng. Res., Vol. 24, No. 4, 1988, pp. 671-679.
16 James F. Ely, H. J. M. Hanley, "Prediction of transport properties. 2. Thermal conductivity of pure fluids and mixtures", Ind. Eng. Chem. Fundamen, Vol. 22, No. 1, pp. 90-97.   DOI
17 Hanley, H. J. M., "Prediction of the viscosity and thermal conductivity coefficients of mixtures", Cryogenics, Vol. 16, 1976, pp. 643-651.   DOI
18 S. Takahsashi, "Preparation of a Generalized Chart for the Diffusion Coefficients of Gases at High Pressure", Chemical Engineering of JAPAN, Vol. 7, No. 6, pp. 417-420.
19 R. O. Fox, "Computational Models for Turbulent Reacting Flows", Cambridge University Press, Cambridge, 2003.
20 J. Lee, Y. Kim, "DQMOM based PDF transport modeling for turbulent lifted nitrogen-diluted hydrogen jet flame with autoignition", International Journal of Hydrogen and Energy, Vol. 37, 2012, pp. 18498-18508.   DOI
21 J. Lee, S. Jeon, Y. Kim, "Multi-environment probability density function approach for turbulent CH4/H2 flames under the MILD combustion condition", Combustion and Flame, Vol. 162, 2015, pp. 1464-1476.   DOI
22 URL http://openfoam.com/
23 R. Issa, "Solution of the implicitly discretized fluid flow equations by operator-splitting", Computational Physics, Vol. 62, Issue 1, 1986, pp. 40-65.   DOI
24 URL http://webbook.nist.gov/chemistry/fluid/