Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-17T11:25:02.878Z Has data issue: false hasContentIssue false
  • English
  • Français

Effect of the multiphase composition in a premixed fuel–air stream on wedge-induced oblique detonation stabilisation

Published online by Cambridge University Press:  08 May 2018

Zhaoxin Ren ,
Bing Wang Open the ORCID record for Bing Wang [Opens in a new window] ,
Gaoming Xiang Open the ORCID record for Gaoming Xiang [Opens in a new window]  and
Longxi Zheng
Zhaoxin Ren
Affiliation:
School of Power and Energy, Northwestern Polytechnical University, Xian 710072, China
Bing Wang*
Affiliation:
School of Aerospace Engineering, Tsinghua University, Beijing 100084, China
Gaoming Xiang
Affiliation:
School of Aerospace Engineering, Tsinghua University, Beijing 100084, China
Longxi Zheng
Affiliation:
School of Power and Energy, Northwestern Polytechnical University, Xian 710072, China
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

An oblique detonation wave in two-phase kerosene–air mixtures over a wedge is numerically studied for the first time. The features of initiation and stabilisation of the two-phase oblique detonation are emphasised, and they are different from those in previous studies on single-phase gaseous detonation. The gas–droplet reacting flow system is solved by means of a hybrid Eulerian–Lagrangian method. The two-way coupling for the interphase interactions is carefully considered using a particle-in-cell model. For discretisation of the governing equations of the gas phase, a WENO-CU6 scheme (Hu et al., J. Comput. Phys., vol. 229 (23), 2010, pp. 8952–8965) and a sixth-order compact scheme are employed for the convective terms and the diffusive terms, respectively. The inflow parameters are chosen properly from real flight conditions. The fuel vapour, droplets and their mixture are taken as the fuel in homogeneous streams with a stoichiometric ratio, respectively. The effects of evaporating droplets and initial droplet size on the initiation, transition from oblique shock to detonation and stabilisation are elucidated. The two-phase oblique detonation wave is stabilised from the oblique shock wave induced by the wedge. As the mass flow rate of droplets increases, a shift from a smooth transition with a curved shock to an abrupt one with a multi-wave point is found, and the initiation length of the oblique detonation increases, which is associated with the increase of the transition pressure. By increasing the initial droplet size, a smooth transition pattern is observed, even if the equivalence ratio remains constant, and the transition pressure decreases. The factor responsible is incomplete evaporation before the detonation fronts, which results in a complicated flame structure, including regimes of formation of oblique detonation, evaporative cooling of droplets and post-detonation reaction.

JFM classification

Reacting Flows: Detonations Multiphase and Particle-laden Flows: Reacting multiphase flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 846 , 10 July 2018 , pp. 411 - 427
Check for updates
Copyright
© 2018 Cambridge University Press 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Burcat, A. & Ruscic, B. 2005 Third Millennium Ideal Gas and Condensed Phase Thermochemical Database for Combustion with Updates from Active Thermochemical Tables. Argonne National Laboratory, Argonne, IL.CrossRefGoogle Scholar
Chaudhuri, A., Hadjadj, A. & Chinnayya, A. 2011 On the use of immersed boundary methods for shock/obstacle interactions. J. Comput. Phys. 230 (5), 1731–1748.CrossRefGoogle Scholar
Choi, J. Y., Kim, D. W., Jeung, I. S., Ma, F. & Yang, V. 2007 Cell-like structure of unstable oblique detonation wave from high-resolution numerical simulation. Proc. Combust. Inst. 31 (2), 2473–2480.Google Scholar
Crowe, C. T., Sharma, M. P. & Stock, D. E. 1977 The particle-source-in cell (PSI-cell) model for gas–droplet flows. Trans. ASME J. Fluids Engng 99 (2), 325–332.Google Scholar
Fedkiw, R. P., Merriman, B. & Osher, S. 1997 High accuracy numerical methods for thermally perfect gas flows with chemistry. J. Comput. Phys. 132 (2), 175–190.CrossRefGoogle Scholar
Franzelli, B., Riber, E., Sanjosé, M. & Poinsot, T. 2010 A two-step chemical scheme for kerosene–air premixed flames. Combust. Flame 157 (7), 1364–1373.CrossRefGoogle Scholar
Hu, X. Y., Wang, Q. & Adams, N. A. 2010 An adaptive central-upwind weighted essentially non-oscillatory scheme. J. Comput. Phys. 229 (23), 8952–8965.CrossRefGoogle Scholar
Iwata, K., Nakaya, S. & Tsue, M. 2017 Wedge-stabilized oblique detonation in an inhomogeneous hydrogen–air mixture. Proc. Combust. Inst. 36 (2), 2761–2769.Google Scholar
Kailasanath, K. 2003 Recent developments in the research on pulse detonation engines. AIAA J. 41 (2), 145–159.Google Scholar
Kitano, T., Kaneko, K., Kurose, R. & Komori, S. 2016 Large-eddy simulations of gas- and liquid-fueled combustion instabilities in back-step flows. Combust. Flame 170, 63–78.Google Scholar
Li, C., Kailasanath, K. & Oran, E. S. 1994 Detonation structures behind oblique shocks. Phys. Fluids 6 (4), 1600–1611.CrossRefGoogle Scholar
Ling, Y., Balachandar, S. & Parmar, M. 2016 Inter-phase heat transfer and energy coupling in turbulent dispersed multiphase flows. Phys. Fluids 28 (3), 033304.CrossRefGoogle Scholar
Liu, Y., Wu, D., Yao, S. & Wang, J. 2015 Analytical and numerical investigations of wedge-induced oblique detonation waves at low inflow Mach number. Combust. Sci. Technol. 187 (6), 843–856.Google Scholar
Loth, E. 2008 Compressibility and rarefaction effects on drag of a spherical particle. AIAA J. 46 (9), 2219–2228.CrossRefGoogle Scholar
Miller, R. S., Harstad, K. & Bellan, J. 1998 Evaluation of equilibrium and non-equilibrium evaporation models for many-droplet gas–liquid flow simulations. Intl J. Multiphase Flow 24 (6), 1025–1055.Google Scholar
Poling, B. E., Prausnitz, J. M., O’Connell, J. P. et al. 2001 The Properties of Gases and Liquids, vol. 5. McGraw-Hill.Google Scholar
Pratt, D. T., Humphrey, J. & Glenn, D. 1991 Morphology of standing oblique detonation waves. J. Propul. Power 7 (5), 837–845.Google Scholar
Qian, C., Bing, W., Huiqiang, Z., Yunlong, Z. & Wei, G. 2016 Numerical investigation of H2 /air combustion instability driven by large scale vortex in supersonic mixing layers. Intl J. Hydrogen Energy 41 (4), 3171–3184.CrossRefGoogle Scholar
Ren, Z., Wang, B., Xie, Q. & Wang, D. 2017 Thermal auto-ignition in high-speed droplet-laden mixing layers. Fuel 191, 176–189.CrossRefGoogle Scholar
Rubins, P. M. & Rhodes, R. P. Jr 1963 Shock-induced combustion with oblique shocks: comparison of experiment and kinetic calculations. AIAA J. 1 (12), 2778–2784.Google Scholar
Stewart, D. S. & Kasimov, A. R. 2006 State of detonation stability theory and its application to propulsion. J. Propul. Power 22 (6), 1230.CrossRefGoogle Scholar
Teng, H., Ng, H. D. & Jiang, Z. 2017 Initiation characteristics of wedge-induced oblique detonation waves in a stoichiometric hydrogen–air mixture. Proc. Combust. Inst. 36 (2), 2735–2742.Google Scholar
Teng, H., Ng, H. D., Li, K., Luo, C. & Jiang, Z. 2015 Evolution of cellular structures on oblique detonation surfaces. Combust. Flame 162 (2), 470–477.Google Scholar
Teng, H. H. & Jiang, Z. L. 2012 On the transition pattern of the oblique detonation structure. J. Fluid Mech. 713, 659–669.CrossRefGoogle Scholar
Teng, H. H., Jiang, Z. L. & Ng, H. D. 2014 Numerical study on unstable surfaces of oblique detonations. J. Fluid Mech. 744, 111–128.Google Scholar
Verreault, J., Higgins, A. J. & Stowe, R. A. 2013 Formation of transverse waves in oblique detonations. Proc. Combust. Inst. 34 (2), 1913–1920.Google Scholar
Viguier, C., da Silva, L. F. F., Desbordes, D. & Deshaies, B. 1996 Onset of oblique detonation waves: comparison between experimental and numerical results for hydrogen–air mixtures. In Symp. Intl Combust., vol. 26, pp. 3023–3031. Elsevier.Google Scholar
Wang, T., Zhang, Y., Teng, H., Jiang, Z. & Ng, H. D. 2015 Numerical study of oblique detonation wave initiation in a stoichiometric hydrogen–air mixture. Phys. Fluids 27 (9), 096101.Google Scholar
Zhang, X. & Shu, C. W. 2010 On maximum-principle-satisfying high order schemes for scalar conservation laws. J. Comput. Phys. 229 (9), 3091–3120.CrossRefGoogle Scholar
Zhang, Y., Gong, J. & Wang, T. 2016 Numerical study on initiation of oblique detonations in hydrogen–air mixtures with various equivalence ratios. Aerosp. Sci. Technol. 49, 130–134.Google Scholar
Zhang, Y., Wang, B., Zhang, H. & Xue, S. 2014 Mixing enhancement of compressible planar mixing layer impinged by oblique shock waves. J. Propul. Power 31 (1), 156–169.Google Scholar