Acoustic-rotational internal flow caused by transient sidewall mass addition

SIAM Journal on Applied Mathematics

Volumn 65, Issue 2, 2005, Pages 587-617

  Staab, P L ^a   Rempe, M J ^b   Kassoy, D R ^c  

^a TUFTS UNIVERSITY   (United States)

^b NORTHWESTERN UNIVERSITY   (United States)

^c University of Colorado at Boulder   (United States)

Author keywords

Finite difference methods; Fluids mechanics; Heat transfer; Perturbation methods

Indexed keywords

MACH NUMBER; PRESSURE DISTURBANCE; PRESSURE FIELDS; VORTICITY;

ACOUSTICS; FINITE DIFFERENCE METHOD; FLUID MECHANICS; HEAT TRANSFER; PERTURBATION TECHNIQUES; REYNOLDS NUMBER; THERMAL EFFECTS; THERMOANALYSIS;

FLOW MEASUREMENT;

EID: 19944400463     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139903421560     Document Type: Article

References (25)

1. G. A. FLANDRO, Solid propellant acoustic admittance corrections, J. Sound Vibration, 36 (1974), pp. 297-312.
2. G. A. FLANDRO, Effects of vorticity on rocket combustion stability, J. Prop. Power, 11 (1995), pp. 607-625.
3. J. MAJDALANI AND S. W. RIENSTRA, Two asymptotic forms of the rotational solution for wave propagation inside viscous channels with transpiring walls, Quart. J. Mech. Appl. Math., 55 (2002), pp. 141-162.
4. F. E. C. CULICK AND V. YANG, Prediction of the stability of unsteady motions in solid-propellant rocket motors, in Nonsteady Burning and Combustion Stability of Solid Propellants, AIAA Progress in Astronautics and Aeronautics 143, L. De Luca, E. W. Price, and M. Summerfeld, eds., AIAA, Washington, DC, 1992, pp. 719-779.
5. G. CASALIS, G. AVALON, AND J. P. PINEAU, Spatial instability of planar channel flow with fluid injection through porous walls, Phys. Fluids, 10 (1998), pp. 2558-2568.
6. P. VENUGOPAL, F. M. NAJJAR, AND R. D. MOSER, DNS and LES computations of model solid rocket motors, AIAA 2000-3571, in Proceedings of the 36th AIAA/ASME/SAE/ASEE Joint Propulsion Conference, Huntsville, AL, 2000.
7. P. VENUGOPAL, F. M. NAJJAR, AND R. D. MOSER, Numerical simulations of model solid rocket motor flows, AIAA 2001-3950, in Proceedings of the 37th AIAA/ASME/SAE/ASEE Joint Propulsion Conference, Salt Lake City, UT, 2001.
8. Q. ZHAO, Nonlinear Acoustic Processes in Solid Rocket Engines, Ph.D. thesis, Department of Mechanical Engineering, University of Colorado, Boulder, CO, 1994.
9. Q. ZHAO, P. L. STAAB, D. R. KASSOY, AND K. KIRKKOPRU, Acoustically generated vorticity in an internal flow, J. Fluid Mech., 413 (1999), pp. 247-285.
10. K. KIRKKOPRU, D. R. KASSOY, AND Q. ZHAO, Unsteady vorticity generation and evolution in a model of a solid rocket motor, J. Prop. Power, 12 (1996), pp. 646-654.
11. P. L. STAAB AND D. R. KASSOY, Three dimensional, unsteady, acoustic-shear flow dynamics in a cylinder with sidewall mass addition, Phys. Fluids, 9 (1997), pp. 3753-3763.
12. P. L. STAAB, Q. ZHAO, D. R. KASSOY, AND K. KIRKKOPRU, Co-existing acoustic-rotational flow in a cylinder with axisymmetric sidewall mass addition, Phys. Fluids, 11 (1999), pp. 2935-2951.
13. K. KIRKKOPRU, D. R. KASSOY, Q. ZHAO, AND P. L. STAAB, Acoustically generated unsteady vorticity field in a long narrow cylinder with sidewall injection, J. Engrg. Math., 42 (2002), pp. 65-90.
14. P. L. STAAB AND D. R. KASSOY, Three-dimensional flow in a cylinder with sidewall mass addition, Phys. Fluids, 14 (2002), pp. 3141-3159.
15. J. D. COLE AND J. AROESTY, The blowhard problem: Inviscid flows with surface injection, Intl. J. Heat Mass Trans., 11 (1968), pp. 1167-1183.
16. F. VUILLOT AND G. AVALON, Acoustic boundary layers in solid propellant rocket motors using Navier-Stokes equations, J. Prop. Power, 7 (1991), pp. 231-239.
17. P. VUILLOT, Vortex-shedding phenomena in solid rocket motors, J. Prop. Power, 11 (1995), pp. 626-639.
18. N. LUPOGLAZOFF AND F. VUILLOT, Numerical simulations of parietal vortex-shedding in a cold flow set-up, AIAA 98-3220, in Proceedings of the 34th AIAA/ASME/SAE/ASEE Joint Propulsion Conference, Cleveland, OH, 1998.
19. A. K. HEGAB, A Study of Acoustic Phenomena in Solid Rocket Engines, Ph.D. thesis, Department of Mechanical Power, Menoufia University, Menoufia, Egypt, 1998.
20. F. E. C. CULICK, Rotational axisymmetric mean flow and damping of acoustic waves in a solid propellant, AIAA Journal, 4 (1966), pp. 1462-1463.
21. G. I. TAYLOR, Fluid flow in regions bounded by porous surfaces, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 234 (1956), pp. 456-475.
22. Q. ZHAO AND D. R. KASSOY, The generation and evolution of unsteady vorticity in a model of a solid rocket engine chamber, AIAA 94-0779, in Proceedings of the 32nd Aerospace Sciences Meeting, Reno, NV, 1994.
23. J. MAJDALANI AND G. A. FLANDRO, The oscillatory pipe flow with arbitrary wall injection, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 458 (2002), pp. 1621-1651.
24. J. MAJDALANI AND W. VAN MOORHEM, Multiple-scales solution to the acoustic boundary layer in solid rocket motors, J. Prop. Power, 13 (1997), pp. 186-193.
25. J. MAJDALANI AND W. VAN MOORHEM, Improved time-dependent flow field solution for solid rocket motors, AIAA J., 36 (1998), pp. 241-248.