Direct Numerical Simulation of Channel Flow with Wall Injection

  • Na, Yang (Multidisciplinary Aerospace System Design Team, Department of Mechanical Engineering, Konkuk University)
  • Published : 2003.10.01

Abstract

The present study investigates turbulent flows subject to strong wall injection in a channel through a Direct Numerical Simulation technique. These flows are pertinent to internal flows inside the hybrid rocket motors. A simplified model problem where a regression process at the wall is idealized by the wall blowing has been studied to gain a better understanding of how the near-wall turbulent structures are modified. As the strength of wall blowing increases, the turbulence intensities and Reynolds shear stress increase rapidly and this is thought to result from the shear instability induced by the injected flows at the wall. Also, turbulent viscosity grows rapidly as the flow moves downstream. Thus, the effect of wall-blowing modifies the state of turbulence significantly and more sophisticated turbulence modeling would be required to predict this type of flows accurately.

Keywords

References

  1. Beddini, R. A., 1986, 'Injection-Induced Flows in Porous Walled Ducts,' AIAA J., Vol. 24, No. 11, pp. 1766-1773
  2. Dunlap, R., Blackner, A. M., Waugh, R. C., Brown, R. S. and Willoughby, P. G., 1990, 'Internal Flow Field Studies in a Simulated Cylindircal Port Rocket Chamber,' J. Prop. Power, Vol. 6, No. 6, pp. 690-704
  3. Harlow, F. H. and Welch, J. E., 1965, 'Numerical Calculation of Time Dependent Viscous Incompressible Flow of Fluid with Free Surface,' Phys. Fluids, Vol. 8, pp. 2182-2189 https://doi.org/10.1063/1.1761178
  4. Kasagi, N. and Shikazono, N., 1995, 'Contribution of Direct Numerical Simulation to Understanding and Modeling Turbulent Transport,' Proc. R. Soc. Lond. A., Vol. 45, pp. 257-292
  5. Kim, J., Moin, P. and Moser, R., 1989, 'Turbulence Statistics in Fully Developed Channel Flow at Low Reynolds Number,' J. Fluid Mech, Vol. 177, pp. 133-166 https://doi.org/10.1017/S0022112087000892
  6. Liou, T. M. and Lien, W. Y., 1998, 'Numerical Simulations of Injection-Driven Flows in a Two Dimensional Nozzleless Solid Rocket Motor,' J. Prop. Power, vol. 11, No. 4, pp. 600-606
  7. Lund, T., Wu, X. and Squires, K., 1998, 'Generation of Turbulent Inflow Data for Spatially Developing Boundary Layer Simulation, J. Comput. Physics, Vol. 140, pp. 233-258 https://doi.org/10.1006/jcph.1998.5882
  8. Miyauchi, T. and Tanahashi, M., 1993, 'Test case : Temporally Developing Chemically Reacting Turbulent Mixing Layer,' http://www.thtlab.t.u-tokyo.ac.jp.
  9. Na, Y., Papavassiliou, D. V. and Hanratty, T., 1999, 'Use of Direct Numerical Simulation to Study the Effect of Prandtl Number on Temperature Fields,' Int. J. Heat and Fluid Flow, Vol. 20, pp. 187-195 https://doi.org/10.1016/S0142-727X(99)00008-9
  10. Spalart, P. R., Moser, R. D. and Rogers, D., 1991, 'Spectral Methods for the Navier-Stokes Equations with One Infinite and Two Periodic Directions,' J. Comput. Phys., vol. 96, pp. 297-324 https://doi.org/10.1016/0021-9991(91)90238-G
  11. Traineau, J. -C., Hervat, P. and Kuentzmann, P., 'Cold Flow Simulations of a two Dimensional Nozzleless Rocket Motor,' Tech. Rep. 86-1447. AIAA
  12. Williams, F. A., Barrere, M. and Huang, N. C., 1969, 'Fundamental Aspects of Solid Propellant Rockets,' NATO AGARDograph, No. 16