In 2003, Dr. Majdalani received a CAREER grant from the National Science Foundation.  The CAREER's research objectives have been to investigate the physical mechanisms affecting instability, to achieve high fidelity models for both mean and unsteady flowfields in simulated combustors, and to promote a much needed expertise in this area.  At present, the team is ceaselessly exploring new strategies for describing unsteady wave propagation, bulk fluid motion, and instability characteristics in injection and swirl-driven chambers.  The NSF supported work has thus far produced 3 MS projects, 2 PhD dissertations, and 54 publications.  These include 16 journal papers [1-16], 3 book chapters [17-19], and 32 conference papers [20-51].  The most notable are (i) a review article presenting a novel procedure for the analytical treatment of compressible flow problems [8], (ii) a review article with an undergraduate student [15], and (iii) AIAA Paper № 2004-4054 [49], recipient of the 2005 Solid Rockets Best Paper Award, now in the Physics of Fluids [6].  In what follows, the main accomplishments of this program are described.

Conversion of Stability Integrals to Simpler Surface Forms

The team has transformed existing acoustic instability integrals (which are volumetric integrals over chamber properties) into surface forms that only require information along chamber boundaries [40,50].  This conversion leads to a sizable computational advantage in predicting acoustic instability growth because the surface integrals do not require information from flow interactions inside the chamber [52-54]. The volume-to-surface transformation alleviates many deficiencies and difficulties in calculating, estimating, and simulating the complex combustion and mixing problem in large combustors. The results are poised to positively impact other technological applications including gas turbines, preburners, afterburners, and ramjets.  Some of the work has been incorporated into the Standard Stability Prediction (SSP) and the Universal Combustion Device Stability (UCDS) used in industry [52,53].

Mathematical Models of Engine Core Flows

Internal flow models developed in [55-85] have been refined and extended to a variety of combustors that are prone to instabilities: solid, hybrid, and liquid engines, including those driven by swirl [1-51]. Of particular interest was the development of the compressible counterpart to Culick’s classic approximation for solid propellant motors [86].  The solution followed from a Rayleigh-Janzen technique that enabled the construction of analytical approximations to compressible flow problems which, in the past, could only be solved numerically [2,8].   The analysis was then extended to encompass both solid and hybrid motors and to motors with arbitrary headwall injection [4,19].  Dr. Majdalani and his students have also treated the flow with variable cross section by solving the problem in tapered enclosures [10,11,43,44].  Finally, an exact solution for the bidirectional vortex used in cyclone separators and vortex-fired liquid engines was achieved in both inviscid [5,87] and viscous forms [33].

Prediction of Limit Cycle Oscillations and Pressure Shift

Using a novel procedure to handle the nonlinear aspects of instability in large combustors, Flandro, Fischbach, and Majdalani [6] have developed an approach that permits the accurate prediction of limit cycle oscillations, trigger amplitudes, and the mean pressure (DC) shift associated with the onset of limit cycle oscillations [49,52-54].  Results compared favorably to recent tests [88,89].  

Incorporation of Hydrodynamic Instability

Dr. Majdalani and his students have also focused on the assessment of hydrodynamic instability in simulated solid and hybrid motors as well as swirl-driven liquid engines [9,35,41,42]. In close collaboration with Dr. Casalis at ONERA/France [30], this team has investigated the hydrodynamic instability of the full-length, cylindrical models of solid and hybrid motors with headwall injection. In the process, the Local Non-Parallel (LNP) approach was implemented [9]. The ensuing rotational model was shown to exhibit a range of instability that broadened with successive increases in headwall injection. This confirmed the increased instability observed in conventional hybrid engines with large injection speeds [9,41].  Using a representative headwall injection velocity for hybrid chambers, a range of frequencies was identified along which large excursions in pressure and velocity amplitudes were shown to be possible. These results resembled the experimental waterfall data obtained in the presence of parietal vortex shedding (a mechanism attributed to hydrodynamic instability).

In a related study, Dr. Majdalani and his associates have carried out a preliminary investigation of the hydrodynamic instability of the bidirectional vortex [42]. The corresponding cyclonic motion characterizes the unique flowfield engendered in a self-cooling, cold-wall, liquid-liquid vortex chamber [5,87]. At the outset, two physical models and their corresponding stability charts were delineated. The addition of swirl was found to be favorable in helping to mitigate the known instabilities that plague hybrid fuel thrust chambers. 

Promotion and Outreach

Dr. Majdalani has been constantly striving to implement his CAREER educational and outreach plans [90].  These involve active recruitment of under-represented groups (three members of his team), maintaining the highest standards in education, and promoting excitement and synergism in the intermingled fields of core flow modeling and acoustic instability. His most notable activities include:

  • Developing an NSF-sponsored website at UTSI listing a large compilation of fellowships and awards available to the student body: http://maji.utsi.edu/gra/grabins.html.

  • Acting as POC for the team commissioned to replicate in Tennessee high schools the Fredericksburg Education Initiative implemented by B. Williams in 28 high schools in Texas: http://www.igniteeducation.org/about.html.


  • Participating in the International Research and Education in Engineering initiative promoted by NSF.

  • Representing UTSI at the 2008 Tennessee Valley Corridor National Summit in Huntsville, AL, May 28-29, 2008: http://www.tennvalleycorridor.org/summits/final2008agenda.html.

  • Presenting a poster and filing a paper at the 2008 NSF CMMI Engineering Research and Innovation Conference, The University of Tennessee, Knoxville, TN, January 7-10, 2008.

  • Participating in the AFOSR Workshop, “Workshop on Liquid Rocket Combustion Stability Experiments for Model Development and Code Validation: Existing and Needed Data Sets,” Huntsville, AL, Oct 17-19, 2007.

  • Participating in the NSF Workshop, “Frontiers in Transport Phenomena Research and Education: Energy Systems, Biological Systems, Security, Information Technology and Nanotechnology,” University of Connecticut, Storrs, May 17-18, 2007.

  • Participating in the 2007 NSF/ORAU/ORNL Workshop, “NSF Day in Oak Ridge,” Pollard Technology Conference Center, Oak Ridge, TN, April 19, 2007.

  • Participating in the national workshop on the “Future of Modeling and Simulation for Combustion Applications,” DOE/USAF/NASA/NAWC Workshop, Pittsburgh, PA, February 21-23, 2006.

  • Giving two invited talks: “Analytical Models of Hybrid Rockets: Headwall and Vortex Injection,” and “High Speed Flow Effects in Hybrid Rockets,” AIAA Progress Series, Fundamentals of Hybrid Rocket Combustion and Propulsion, 42nd Joint Propulsion Conference, Sacramento, CA, July 12, 2006.

  • Giving an invited talk at the NSF EPSCoR Workshop, “Some Computational Research at UTSI,” Computational Applications and Cyber-Infrastructure, Experimental Program to Stimulate Competitive Research Meeting, Middle Tennessee State University, Murfreesboro, TN, January 20, 2005.

  • Organizing and lecturing in several mini-course series that attract high school students into STEM areas.

  • Developing the NSF-sponsored library of technical media, CDs, and DVDs; these cover topics on vocabulary building, public speech, acoustics, fluid dynamics, propulsion, and stability.

  • Developing new courses or modules for: (1.) Propulsion Elements, (2.) Perturbation Methods I and II, (3.) Advanced Fluid Dynamics, (4.) Aeroacoustics, (5.) Applied Combustion, and (6.) Oscillatory Wave Modeling.

  • Lecturing at the Combustion Stability Technical Interchange Meeting, “Some Progress in Rocket Mean Flow Modeling and Instability,” Squaw Creek, NV, August 30-31, 2005.

  • Presenting “Some Recent Developments in Rocket Core Flow Models,” ATK Thiokol, Science and Engineering Fluid Dynamics Section, Brigham City, UT, August 19, 2005.

  • Lecturing “On the Vortex Engine,” Aerospace Testing Alliance (ATA), Arnold Engineering Development Center (AEDC, USAFB), Tullahoma, TN, December 7, 2004.

 

References

  1. Majdalani, J., “Exact Navier-Stokes Solution for the Pulsatory Viscous Channel Flow with Arbitrary Pressure Gradient,” Journal of Propulsion and Power, Vol. in press, 2008.

  2. Maicke, B. A. and Majdalani, J., “On the Rotational Compressible Taylor Flow in Injection-Driven Porous Chambers,” Journal of Fluid Mechanics, Vol. 603, No. 1, 2008, pp. 391-411.

  3. Vyas, A. B. and Majdalani, J., “Asymptotic Temperature Distribution in a Simulated Combustion Chamber,” Journal of Heat Transfer, Vol. 129, No. 7, 2007, pp. 894-898.

  4. Majdalani, J. and Saad, T., “The Taylor-Culick Profile with Arbitrary Headwall Injection,” Physics of Fluids, Vol. 19, No. 9, 2007, pp. 093601-10.

  5. Majdalani, J. and Rienstra, S. W., “On the Bidirectional Vortex and Other Similarity Solutions in Spherical Coordinates,” Journal of Applied Mathematics and Physics (ZAMP), Vol. 58, No. 2, 2007, pp. 289-308.

  6. Flandro, G. A., Fischbach, S. R. and Majdalani, J., “Nonlinear Rocket Motor Stability Prediction: Limit Amplitude, Triggering, and Mean Pressure Shift,” Physics of Fluids, Vol. 19, No. 9, 2007, pp. 094101-16.

  7. Fischbach, S. R., Majdalani, J. and Flandro, G. A., “Acoustic Instability of the Slab Rocket Motor,” Journal of Propulsion and Power, Vol. 23, No. 1, 2007, pp. 146-157.

  8. Majdalani, J., “On Steady Rotational High Speed Flows: The Compressible Taylor-Culick Profile,” Proceedings of the Royal Society, London, Series A, Vol. 463, No. 2077, 2007, pp. 131-162.

  9. Abu-Irshaid, E. M., Majdalani, J. and Casalis, G., “Hydrodynamic Stability of Rockets with Headwall Injection,” Physics of Fluids, Vol. 19, No. 2, 2007, pp. 024101-11.

  10. Sams, O. C., Majdalani, J. and Saad, T., “Mean Flow Approximations for Solid Rocket Motors with Tapered Walls,” Journal of Propulsion and Power, Vol. 23, No. 2, 2007, pp. 445-456.

  11. Saad, T., Sams, O. C. and Majdalani, J., “Rotational Flow in Tapered Slab Rocket Motors,” Physics of Fluids, Vol. 18, No. 1, 2006, pp. 103601-13.

  12. Majdalani, J., Fischbach, S. R. and Flandro, G. A., “Improved Energy Normalization Function in Rocket Motor Stability Calculations,” Journal of Aerospace Science and Technology, Vol. 10, No. 6, 2006, pp. 495-500.

  13. Jankowski, T. A. and Majdalani, J., “Symmetric Solutions for the Oscillatory Channel Flow with Arbitrary Suction,” Journal of Sound and Vibration, Vol. 294, No. 4-5, 2006, pp. 880-893.

  14. Jankowski, T. A. and Majdalani, J., “Vortical and Acoustical Mode Coupling inside a Porous Tube with Uniform Wall Suction,” Journal of the Acoustical Society of America, Vol. 117, No. 6, 2005, pp. 3448-3458.

  15. Brucker, K. and Majdalani, J., “Effective Thermal Conductivity of Common Geometric Shapes,” International Journal of Heat and Mass Transfer, Vol. 48, No. 8, 2005, pp. 4779-4796.

  16. Majdalani, J., Flandro, G. A. and Fischbach, S. R., “Some Rotational Corrections to the Acoustic Energy Equation in Injection-Driven Enclosures,” Physics of Fluids, Vol. 17, No. 7, 2005, pp. 0741021-20.

  17. Majdalani, J., “High Speed Flow Effects in Hybrid Rockets,” Fundamentals of Hybrid Rocket Combustion and Propulsion, edited by K. Kuo and M. J. Chiaverini, AIAA Progress in Astronautics and Aeronautics, Washington, DC, 2007, pp. 277-321.

  18. Majdalani, J., “Vortex Injection Hybrid Rockets,” Fundamentals of Hybrid Rocket Combustion and Propulsion, edited by K. Kuo and M. J. Chiaverini, AIAA Progress in Astronautics and Aeronautics, Washington, DC, 2007, pp. 247-276.

  19. Majdalani, J., “Analytical Models for Hybrid Rockets,” Fundamentals of Hybrid Rocket Combustion and Propulsion, edited by K. Kuo and M. J. Chiaverini, AIAA Progress in Astronautics and Aeronautics, Washington, DC, 2007, pp. 207-246.

  20. Saad, T. and Majdalani, J., “Energy Based Solutions of the Bidirectional Vortex,” AIAA Paper № 2008-4832, July, 2008.

  21. Saad, T. and Majdalani, J., “Energy Based Mean Flow Solutions for Slab Hybrid Rocket Chambers,” AIAA Paper № 2008-5021, July, 2008.

  22. Majdalani, J., “A New Analytical Method to Predict the Nonlinear Scales in Boundary Value Problems Involving Acoustic Wave Propagation,” 2008 NSF CMMI Engineering Research and Innovation Conference NSF Paper № CMMI-053518, January 7-10, 2008.

  23. Majdalani, J. and Halpenny, E. K., “The Bidirectional Vortex with Sidewall Injection,” AIAA Paper № 2008-5018, July, 2008.

  24. Maicke, B. A. and Majdalani, J., “On the Compressible Bidirectional Vortex,” AIAA Paper № 2008-4834, July, 2008.

  25. Saad, T. and Majdalani, J., “The Taylor Profile in Porous Channels with Arbitrary Headwall Injection,” AIAA Paper № 2007-4120, June, 2007.

  26. Majdalani, J. and Saad, T., “Energy Steepened States of the Taylor-Culick Profile,” AIAA Paper № 2007-5797, July, 2007.

  27. Maicke, B. A. and Majdalani, J., “Heuristic Representation of the Swirl Velocity in the Core of the Bidirectional Vortex,” AIAA Paper № 2007-4122, June, 2007.

  28. French, J. C. and Majdalani, J., “Hydrodynamic Stability Analysis of Solid Rocket Motors with Arbitrary Grain Design,” AIAA Paper № 2007-5808, July, 2007.

  29. Fischbach, S. R., Flandro, G. A. and Majdalani, J., “Streaming Effects in Liquid Rocket Engines with Tangential Mode Oscillations,” AIAA Paper № 2007-5561, July, 2007.

  30. Chedevergne, F., Casalis, G. and Majdalani, J., “DNS Investigation of the Taylor-Culick Flow Stability,” AIAA Paper № 2007-5796, July, 2007.

  31. Batterson, J. W., Maicke, B. A. and Majdalani, J., “Advancements in Theoretical Models of Confined Vortex Fowfields,” JANNAF Paper № TP-2007-222, May, 2007.

  32. Batterson, J. W. and Majdalani, J., “On the Boundary Layers of the Bidirectional Vortex,” AIAA Paper № 2007-4123 June, 2007.

  33. Vyas, A. B. and Majdalani, J., “Characterization of the Tangential Boundary Layers in the Bidirectional Vortex Thrust Chamber,” AIAA Paper № 2006-4888, July, 2006.

  34. Maicke, B. A. and Majdalani, J., “The Compressible Taylor Flow in Slab Rocket Motors,” AIAA Paper № 2006-4957, July, 2006.

  35. Bhatia, L., Abu-Irshaid, E. M., Majdalani, J. and Casalis, G., “Stability of the Taylor-Culick Profile with Headwall Injection and Particle Interactions,” AIAA Paper № 2006-4429, July, 2006.

  36. Majdalani, J., “The Compressible Taylor-Culick Flow,” AIAA Paper № 2005-3542, July, 2005.

  37. Majdalani, J., “The Taylor-Culick Profile with Uniform Headwall Injection,” AIAA Paper № 2005-4534, July, 2005.

  38. Majdalani, J. and Abu-Irshaid, E. M., “General Solutions for Some Isentropic Equations in Variable Area Duct Flow,” AIAA Paper № 2005-4382, July, 2005.

  39. Majdalani, J. and Abu-Irshaid, E. M., “Inversion of the Critical Back Pressure Relation in Isentropic Nozzle Flow,” AIAA Paper № 2005-4552, July, 2005.

  40. Fischbach, S. R., Majdalani, J. and Flandro, G. A., “Verification and Validation of Rocket Stability Integral Transformations,” AIAA Paper № 2005-4001, July, 2005.

  41. Abu-Irshaid, E. M., Majdalani, J. and Casalis, G., “Stability of Rockets with Headwall Injection,” AIAA Paper № 2005-3543, July, 2005.

  42. Abu-Irshaid, E. M., Majdalani, J. and Casalis, G., “Hydrodynamic Instability of the Bidirectional Vortex,” AIAA Paper № 2005-4531, July, 2005.

  43. Sams, O. C., Majdalani, J. and Flandro, G. A., “Higher Flowfield Approximations for Solid Rocket Motors with Tapered Bores,” AIAA Paper № 2004-4051, July, 2004.

  44. Sams, O. C., Majdalani, J. and Flandro, G. A., “Analytical and CFD Approximations for Tapered Slab Rocket Motors,” AIAA Paper № 2004-4060, July, 2004.

  45. Olles, M. W., Lynn, N. F. and Majdalani, J., “The Isentropic Mach Number for Arbitrary Nozzle Area Ratio,” AIAA Paper № 2004-3922, July, 2004.

  46. Majdalani, J., Fang, D. and Rienstra, S. W., “On the Bidirectional Vortex and Other Similarity Solutions in Spherical Geometry,” AIAA Paper № 2004-3675, July, 2004.

  47. Majdalani, J. and Vyas, A. B., “Inviscid Models of the Classic Hybrid Rocket,” AIAA Paper № 2004-3474, July, 2004.

  48. Majdalani, J. and Vyas, A. B., “Rotational Axisymmetric Mean Flow for the Vortex Injection Hybrid Rocket Engine,” AIAA Paper № 2004-3475, July, 2004.

  49. Flandro, G. A., Fischbach, S. R., Majdalani, J. and French, J. C., “Nonlinear Rocket Motor Stability Prediction: Limit Amplitude, Triggering, and Mean Pressure Shift,” AIAA Paper № 2004-4054, July, 2004.

  50. Fischbach, S. R., Flandro, G. A. and Majdalani, J., “Volume-to-Surface Transformations of Rocket Stability Integrals,” AIAA Paper № 2004-4053, July, 2004.

  51. Fischbach, S. R., Majdalani, J. and Flandro, G. A., “Acoustic Instability of the Slab Rocket Motor,” AIAA Paper № 2004-4061, July, 2004.

  52. French, J. C. and Flandro, G. A., “Linked Solid Rocket Motor Combustion Stability and Internal Ballistics Analysis,” AIAA Paper № 2005-3998, July, 2005.

  53. French, J. C., Flandro, G. A. and Majdalani, J., “Improvements to the Linear Standard Stability Prediction Program (SSP),” AIAA Paper № 2004-4181, July, 2004.

  54. Flandro, G. A., Majdalani, J. and French, J. C., “Incorporation of Nonlinear Capabilities in the Standard Stability Prediction Program,” AIAA Paper № 2004-4182, July, 2004.

  55. Chiaverini, M. J., Malecki, M. J., Sauer, J. A., Knuth, W. H. and Majdalani, J., “Vortex Thrust Chamber Testing and Analysis for O2-H2 Propulsion Applications,” AIAA Paper № 2003-4473, July, 2003.

  56. Vyas, A. B., Majdalani, J. and Yang, V., “Estimation of the Laminar Premixed Flame Temperature and Velocity in Injection-Driven Combustion Chambers,” Combustion and Flame, Vol. 133, No. 6129, 2003, pp. 371-374.

  57. Vyas, A. B., Majdalani, J. and Chiaverini, M. J., “The Bidirectional Vortex. Part 3: Multiple Solutions,” AIAA Paper № 2003-5054, July, 2003.

  58. Vyas, A. B., Majdalani, J. and Chiaverini, M. J., “The Bidirectional Vortex. Part 2: Viscous Core Corrections,” AIAA Paper № 2003-5053, July, 2003.

  59. Vyas, A. B., Majdalani, J. and Chiaverini, M. J., “The Bidirectional Vortex. Part 1: An Exact Inviscid Solution,” AIAA Paper № 2003-5052, July, 2003.

  60. Zhou, C. and Majdalani, J., “Inner and Outer Solutions for the Injection Driven Channel Flow with Retractable Walls,” AIAA Paper № 2003-3728, June, 2003.

  61. Majdalani, J. and Zhou, C., “Moderate-to-Large Injection and Suction Driven Channel Flows with Expanding or Contracting Walls,” Journal of Applied Mathematics and Mechanics, Vol. 83, No. 3, 2003, pp. 181-196.

  62. Majdalani, J. and Flandro, G. A., “Some Recent Developments in Rocket Core Dynamics,” AIAA Paper № 2003-5112, July, 2003.

  63. Majdalani, J., “Physicality of Core Flow Models in Rocket Motors,” Journal of Propulsion and Power, Vol. 19, No. 1, 2003, pp. 156-159.

  64. Zhou, C. and Majdalani, J., “Improved Mean Flow Solution for Slab Rocket Motors with Regressing Walls,” Journal of Propulsion and Power, Vol. 18, No. 3, 2002, pp. 703-711.

  65. Chu, W.-W., Yang, V., Vyas, A. B. and Majdalani, J., “Premixed Flame Response to Acoustic Waves in a Porous-Walled Chamber with Surface Mass Injection,” AIAA Paper № 2002-3609, July, 2002.

  66. Muntges, D. E. and Majdalani, J., “Pulsatory Channel Flow for an Arbitrary Volumetric Flowrate,” AIAA Paper № 2002-2856, June, 2002.

  67. Majdalani, J., Vyas, A. B. and Flandro, G. A., “Higher Mean-Flow Approximation for a Solid Rocket Motor with Radially Regressing Walls,” AIAA Journal, Vol. 40, No. 9, 2002, pp. 1780-1788.

  68. Majdalani, J. and Rienstra, S. W., “Two Asymptotic Forms of the Rotational Solution for Wave Propagation inside Viscous Channels with Transpiring Walls,” Quarterly Journal of Mechanics and Applied Mathematics, Vol. 55, No. 1, 2002, pp. 141-162.

  69. Majdalani, J. and Flandro, G. A., “The Oscillatory Pipe Flow with Arbitrary Wall Injection,” Proceedings of the Royal Society, London, Series A, Vol. 458, No. 2023, 2002, pp. 1621-1651.

  70. Majdalani, J. and Chibli, H. A., “Pulsatory Channel Flows with Arbitrary Pressure Gradients,” AIAA Paper № 2002-2981, June, 2002.

  71. Majdalani, J., Barron, J. and Van Moorhem, W. K., “Inception of Turbulence in the Stokes Boundary Layer over a Transpiring Wall,” ASME Journal of Fluids Engineering, Vol. 124, No. 9, 2002, pp. 1-7.

  72. Jankowski, T. A. and Majdalani, J., “Laminar Flow in a Porous Channel with Large Wall Suction and a Weakly Oscillatory Pressure,” Physics of Fluids, Vol. 14, No. 3, 2002, pp. 1101-1110.

  73. Entezam, B., Van Moorhem, W. K. and Majdalani, J., “A Full-Scale Numerical Model of the Thermoacoustic Interactions inside the Rijke Tube Pulse Combustor,” Journal of Numerical Heat Transfer: A-Applications, Vol. 41, No. 3, 2002, pp. 245-262.

  74. Majdalani, J., Vyas, A. B. and Flandro, G. A., “Higher Mean-Flow Approximation for a Solid Rocket Motor with Radially Regressing Walls,” AIAA Paper № 2001-3870, July, 2001.

  75. Majdalani, J. and Van Moorhem, W. K., “Laminar Cold-Flow Model for the Internal Gas Dynamics of a Slab Rocket Motor,” Journal of Aerospace Science and Technology, Vol. 5, No. 3, 2001, pp. 193-207.

  76. Majdalani, J. and Roh, T. S., “Vorticity Dynamics in Isobarically Closed Porous Channels.  Part II: Space-Reductive Perturbations,” Journal of Propulsion and Power, Vol. 17, No. 2, 2001, pp. 363-370.

  77. Majdalani, J., Entezam, B. and Van Moorhem, W. K., “The Rijke Tube Revisited Via Laboratory and Numerical Experiments,” AIAA Paper № 2001-2961, June, 2001.

  78. Majdalani, J., Barron, J. and Van Moorhem, W. K., “Experimental Classification of Turbulence in an Oscillatory Channel Flow with Transpiring Walls,” ASME FEDSM Paper № 2001-1881, May 29- June 1, 2001.

  79. Majdalani, J., “Improved Solution for the Vortical and Acoustical Mode Coupling inside a Two-Dimensional Cavity with Porous Walls,” Journal of the Acoustical Society of America, Vol. 109, No. 2, 2001, pp. 475-479.

  80. Majdalani, J., “The Oscillatory Channel Flow with Arbitrary Wall Injection,” Journal of Applied Mathematics and Physics (ZAMP), Vol. 52, No. 1, 2001, pp. 33-61.

  81. Majdalani, J., “Vorticity Dynamics in Isobarically Closed Porous Channels.  Part I: Standard Perturbations,” Journal of Propulsion and Power, Vol. 17, No. 2, 2001, pp. 355-362.

  82. Jankowski, T. A. and Majdalani, J., “Imposition of Oscillatory Waves inside a Cylindrical Tube with Large Wall Suction,” AIAA Paper № 2001-2162, May, 2001.

  83. Dauenhauer, E. C. and Majdalani, J., “Exact Self-Similarity Solution of the Navier-Stokes Equations for a Deformable Channel with Wall Suction or Injection,” AIAA Paper № 2001-3588, 2001.

  84. Zhou, C. and Majdalani, J., “Improved Mean Flow Solution for Slab Rocket Motors with Regressing Walls,” AIAA Paper № 2000-3191, July, 2000.

  85. Majdalani, J. and Roh, T. S., “The Oscillatory Channel Flow with Large Wall Injection,” Proceedings of the Royal Society, London, Series A, Vol. 456, No. 1999, 2000, pp. 1625-1657.

  86. Culick, F. E. C., “Rotational Axisymmetric Mean Flow and Damping of Acoustic Waves in a Solid Propellant Rocket,” AIAA Journal, Vol. 4, No. 8, 1966, pp. 1462-1464.

  87. Vyas, A. B. and Majdalani, J., “Exact Solution of the Bidirectional Vortex,” AIAA Journal, Vol. 44, No. 10, 2006, pp. 2208-2216.

  88. Flandro, G. A., Majdalani, J. and Sims, J. D., “On Nonlinear Combustion Instability in Liquid Propellant Rocket Engines,” AIAA Paper № 2004-3516, July, 2004.

  89. Flandro, G. A., Majdalani, J. and Sims, J. D., “Nonlinear Longitudinal Mode Instability in Liquid Propellant Rocket Engine Preburners,” AIAA Paper № 2004-4162, July, 2004.

  90. Majdalani, J., CAREER: Control of Acoustic Instabilities in Large Combustors 2003.