Modeling of dielectric barrier discharge-induced fluid dynamics and heat transfer

Progress in Aerospace Sciences

Volumn 44, Issue 3, 2008, Pages 139-191

  Jayaraman, Balaji ^a   Shyy, Wei ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; FLUID DYNAMICS; HEAT TRANSFER;

DIELECTRIC BARRIER DISCHARGE; MOMENTUM COUPLING;

DIELECTRIC DEVICES;

EID: 40849147196     PISSN: 03760421     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.paerosci.2007.10.004     Document Type: Review

References (140)

1. Hippler S., Pfau M., Schmidt K.H., and Schoenbach. Low temperature plasma physics: fundamental aspects and applications (2001), Wiley-VCH, Berlin
2. Siemens W. Plasma discharges. Poggendroffs Ann Phys Chem 102 (1857) 66
3. Kogelschatz U., Eliasson B., and Egli W. From ozone generators to flat television screens: history and future potential of dielectric-barrier discharges. Pure Appl Chem 71-10 (1999) 1819-1828
4. Roth JR, Sherman DM, Wilkinson SP. Boundary layer flow control with a one atmosphere uniform glow discharge. In: 36th AIAA aeropsace sciences meeting, Reno NV, January 12-15, AIAA paper 98-0328.
5. Roth J.R. Industrial plasma engineering: Vol. I-Principles (1995), IOP, Bristol
6. Shyy W., Jayaraman B., and Anderson A. Modeling of glow-discharge induced flow dynamics. J Appl Phys 92-11 (2002) 6434-6443
7. Roth J.R. Industrial plasma engineering: Vol. II-Applications to non-thermal plasma processing (2001), IOP, Bristol
8. Ben Gadri R. One atmospheric glow discharge structure revealed by computer modeling. IEEE Trans Plasma Sci 27-1 (1999) 36-37
9. Lee D., Park J.M., Hong S.H., and Kim Y. Numerical simulation on mode transition of atmospheric dielectric barrier discharge in helium-oxygen mixture. IEEE Trans Plasma Sci 33-2 (2005) 949-957
10. Roth JR. Electrohydrodynamically induced airflow in a one atmosphere uniform glow discharge surface plasma. In: Proceedings of the 25th IEEE international conference on plasma science, Raleigh, NC paper 6P-67, 1998. p. 291.
11. Kanazawa S., Kogoma M., Moriwaki T., and Okazaki S. Stable glow plasma at atmospheric pressure. Phys D Appl Phys 21 (1988) 838
12. Massines F., Ben Gadri R., Rabehi A., Decomps Ph., Segur P., and Mayoux Ch. Experimental and theoretical study of a glow discharge at atmospheric pressure controlled by dielectric barrier. J Appl Phys 83-6 (1998) 2950-2957
13. Smith B.L., and Glezer A. The formation and evolution of synthetic jets. Phys Fluids 10-9 (1998) 2281-2297
14. Enloe C.L., Mclaughlin T.E., Van Dyken R.D., and Kachner K.D. Mechanisms and responses of a single dielectric barrier plasma actuator: plasma morphology. AIAA J 42-3 (2004) 589-594
15. Enloe C.L., Mclaughlin T.E., Van Dyken R.D., Kachner K.D., Jumper E.J., Corke T.C., et al. Mechanisms and responses of a single dielectric barrier plasma actuator: geometric effects. AIAA J 42-3 (2004) 595-604
16. Enloe CL, Mclaughlin TE, Van Dyken RD, Fischer JC. Plasma structure in the aerodynamic plasma actuator. In: 42nd Aerospace sciences meet and exhibit, Reno, NV, AIAA paper 2004-0844.
17. Van Dyken R, Mclaughlin TE, Enloe CL. Parametric investigations of a single dielectric barrier plasma actuator. In: 42nd aerospace sciences meet and exhibit, Reno, NV, AIAA paper 2004-846.
18. Enloe C.L., Mclaughlin T.E., Font G.I., and Baughn J.W. Parameterization of temporal structure in the single dielectric barrier aerodynamic plasma actuator. AIAA J 44-6 (2006) 1127-1136
19. Enloe CL, Mclaughlin TE, Font GI, Baughn JW. Frequency effects on the efficiency of the aerodynamic plasma actuator. In: 44th AIAA aerospace sciences meeting and exhibit, Reno, NV, January 9-12, AIAA paper 2006-0166.
20. Gregory JW, Enloe CL, Font GI, Mclaughlin TE. Force production mechanisms of a dielectric-barrier discharge plasma actuator. In: 45th AIAA aerospace sciences meeting and exhibit, Reno, NV, January 8-11, AIAA paper 2007-185.
21. Shang J.S. Recent research in magneto-aerodynamics. Prog Aero Sci 37 (2001) 1-20
22. Leonov S, Bityurin V, Yarantsev D. The effect of plasma induced separation. In: 34th AIAA plasmadynamics and lasers conference, Orlando, FL, AIAA paper 2003-3853.
23. Corke TC, Post ML. Overview of plasma flow control: concepts, optimization and applications. In: 43rd Aerospace sciences meeting and exhibit, Reno, NV, AIAA paper 2005-0563.
24. Chan S, Zhang X, Gabriel S. The attenuation of cavity tones using plasma actuators. In: 11th AIAA/CEAS aeroacoustics conference, Monterey, CA, May 23-25, AIAA paper 2005-2802.
25. Chan S., Zhang X., and Gabriel S. Attenuation of low-speed flow-induced cavity tones using plasma actuators. AIAA J 45-7 (2007) 1525
26. Jukes TN, Choi KS, Johnson GA, Scott SJ. Turbulent boundary-layer control for drag reduction using surface plasma. In: 2nd AIAA flow control conference, Portland, Oregon, June 28-July 1, AIAA paper 2004-2216.
27. Rivir R, White A, Carter C, Ganguly B, Forelines A, Crafton J. Turbine flow control, plasma flows. In: 41st Aerospace sciences meet & exhibit, Reno, NV, January 6-9, AIAA paper 2003-6055.
28. Wilkinson SP. Investigation of an oscillating surface plasma for turbulent drag reduction. In: 41st Aerospace sciences meet & exhibit, Reno, NV, January 6-9, AIAA paper 2003-2199.
29. Roy S, Gaitonde DV. Modeling surface discharge effects of atmospheric RF on gas flow control. In: 43rd AIAA aeropsace sciences meeting, Reno NV, AIAA paper 2005-0160.
30. Roy S, Gaitonde DV. Multidimensional collisional dielectric barrier discharge for flow separation control at atmospheric pressures. In: 35th AIAA fluid dynamics conference, Toronto, Canada, AIAA paper 2005-4631.
31. Singh K.P., and Roy S. Simulation of an asymmetric single dielectric barrier plasma actuator. J App Phys 98 (2005) 083303
32. Kumar H., and Roy S. Multidimenisonal hydrodynamic plasma-wall model for collisional plasma discharges with and without magnetic-field effects. Phys Plasmas 12 (2005) 093508
33. Jayaraman B, Thakur S, Shyy W. Modeling of dielectric barrier discharge and resulting fluid dynamics. In: 44th Aerospace sciences meeting & exhibit, Reno, NV, January 9-12, AIAA paper 2006-0686.
34. Jayaraman B, Cho YC, Shyy W. Modeling of dielectric barrier discharge and resulting fluid dynamics. In: 38th Plasmadynamics and lasers conference, Miami, FL, June 25-28, AIAA paper 2007-4531.
35. Jayaraman B., Shyy W., and Thakur S. Modeling of fluid dynamics and heat transfer induced by dielectric barrier plasma actuator. J Heat Trans 129 4 (2007) 517-525
36. Singh K.P., and Roy S. Modeling plasma actuators with air chemistry for effective flow control. J Appl Phys 101 (2007) 122308
37. Likhanskii AV, Shneider MN, Opaits DF, Miles RB, Macheret SO. Numeircal modeling of DBD plasma actuators and the induced air flow. In: 38th Plasmadynamics and lasers conference, Miami, FL, AIAA paper 2007-4533.
38. Likhanskii AV, Shneider MN, Macheret SO, Miles RB. Optimization of dielectric barrier discharge plasma actuators driven by repetitive nanosecond pulses. In: 45th Aerospace sciences meeting and exhibit, Reno, NV, AIAA paper 2007-0633.
39. Tochikubo F., Chiba T., and Watanabe T. Structure of low-frequency helium glow discharge at atmospheric pressure between parallel plate dielectric electrodes. Jpn J Appl Phys 38 (1999) 5244-5250
40. Font GI, Enloe CL, Mclaughlin TE, Orlov D. Plasma discharge characteristics and experimentally determined boundary conditions for a plasma actuator. In: 45th AIAA aerospace sciences meeting and exhibit, Reno, NV, January 8-11, AIAA paper 2007-188.
41. Kogelschatz U. Filamentary, patterned and diffuse barrier discharges. IEEE Trans Plasma Sci 30-4 (2002) 1400-1408
42. Gaitonde DV, Visbal MR, Roy S. Control of flow past a wing section with plasma-based body forces. In: 36th Plasma dynamics and lasers conference, Toronto, AIAA paper 2005-5302.
43. Jayaraman B, Shyy W. Flow control and thermal management using dielectric glow discharge concepts. In: 33rd AIAA fluid dynamics conference and exhibit, Orlando, June 23-26, AIAA paper 2003-3712.
44. Orlov DM, Apker T, He C, Othman H, Corke TC. Modeling of experiment of leading edge separation control using SDBD plasma actuators. In: 45th Aerospace sciences meeting and exhibit, Reno, NV, January 8-11, AIAA paper 2007-0877.
45. He C, Corke TC, Patel MP. Numerical and experimental analysis of plasma flow control over a hump model. In: 45th Aerospace sciences meeting and exhibit, Reno, NV, January 8-11, AIAA paper 2007-0935.
46. Najm H.N., Wyckoff P.S., and Knio O.M. A semi-implicit numerical scheme for reacting flow. J Comp Phys 143 (1998) 381-402
47. Knio O.M., Najm H.N., and Wyckoff P.S. A semi-implicit numerical scheme for reacting flow. J Comp Phys 154 (1999) 428-467
48. Verwer J.G. Explicit Runge-Kutta methods for parabolic partial differential equations. Appl Numer Math 22 (1996) 359-379
49. Thakur S., Wright J., and Shyy W. STREAM: A computational fluid dynamics and heat transfer Navier-Stokes solver: theory and applications. Application manual (2002), Streamline Numerics, Inc, Gainesville, FL
50. Font G.I. Boundary layer control with atmospheric plasma discharges. AIAA J 44-7 (2006) 1572-1578
51. Enloe CL, Mclaughlin TE, Font GI, Baughn JW. Parameterization of temporal structure in the single dielectric barrier aerodynamic plasma actuator. In: 43rd AIAA aerospace sciences meeting and exhibit, Reno, NV, January 10-13, AIAA paper 2005-0564.
52. Baird C, Enloe CL, Mclaughlin TE, Baughn JW. Acoustic testing of dielectric barrier discharge (DBD) plasma actuator. In: 43rd Aerospace sciences meeting and exhibit, Reno, NV, AIAA paper 2005-0565.
53. Jukes T.N., Choi K.S., Johnson G.A., and Scott S.J. Characterization of surface plasma-induced wall flows through velocity and temperature measurements. AIAA J 44-4 (2005) 764-771
54. Hall KD, Jumper EJ, Corke TC, Mclaughlin TE. Potential flow model of a plasma actuator as a lift enhancement device. In: 43rd Aerospace sciences meeting and exhibit, Reno, NV, January 10-13, AIAA paper 2005-0783.
55. Orlov DM, Corke TC. Numerical simulation of aerodynamic plasma actuators. In: 43rd Aerospace sciences meeting and exhibit, Reno, NV, January 10-13, AIAA paper 2005-1083.
56. Riley M.E., Greenberg K.E., Hebner G.A., and Drallos P. Theoretical and experimental study of low-temperature, capacitively coupled radio-frequency helium plasmas. J Appl Phys 75-6 (1994) 2789-2798
57. Gogolides E., and Sawin H.H. Continuum modeling of radio-frequency glow discharges. I. Theory and results for electropositive and electronegative gases. J Appl Phys 72-9 (1992) 3971-3987
58. 4 capacitively coupled RF discharges. IEEE Trans Plasma Sci 14-4 (1985) 188
59. Boswell R.W., and Morey I.J. Self-consistent simulation of a parallel-plate rf discharge. Appl Phys Lett 52-1 (1988) 21-23
60. Birdsall C.K. Particle-in-cell charged-particle simulations, plus Monte Carlo collisions with neutral atoms. IEEE Trans Plasma Sci 19-2 (1991) 65-85
61. Surendra M., and Graves D.B. Particle simulations of radio-frequency glow discharges. IEEE Trans Plasma Sci 19-2 (1991) 144-157
62. Nitschke T.E., and Graves D.B. A comparison of particle in cell and fluid model simulations of low-pressure radio frequency discharges. J Appl Phys 76-10 (1994) 5646-5660
63. Nicholas W., Hitchon G., Sommerer T.J., and Lawler J.E. A self-consistent kinetic plasma model with rapid convergence. IEEE Trans Plasma Sci 19 2 (1991) 113-121
64. DiCarlo J.V., and Kushner M.J. Solving the spatially dependent Boltzmann's equation for the electron velocity distribution using flux corrected transport. J Appl Phys 66 12 (1989) 5763-5774
65. Belenguer Ph., and Boeuf J.P. Transition between different regimes of rf glow discharges. Phys Rev A 41 (1990) 4447
66. Fiala A., Pitchford L.C., and Boeuf J.P. Two-dimensional, hybrid model of low-pressure glow discharges. Phys Rev E 49 6 (1994) 5607
67. Eliasson B., and Kogelschatz U. Modeling and applications of silent discharge plasmas. IEEE Trans Plasma Sci 19 2 (1991) 309-323
68. Mangolini L., Orlov K., Kortshagen U., Heberlein J., and Kogelschatz U. Radial structure of a low-frequency atmospheric-pressure glow discharge in helium. App Phys Lett 80 10 (2002) 1722-1724
69. Xu X., and Kushner M.J. Multiple microdischarges dynamics in dielectric barrier charges. J Appl Phys 84 8 (1998) 4153-4160
70. Golubovskii Y.B., Maiorov V.A., Behnke J., and Behnke J.F. Influence of interaction between charged particles and dielectric surface over a homogeneous barrier discharge in nitrogen. J Phys D: Appl Phys 35 (2002) 751-761
71. Mangolini L., Anderson C., Heberlein J., and Kortshagen U. Effects of current limitation through the dielectric in atmospheric pressure glows in helium. J Phys D: Appl Phys 37 (2004) 1021-1030
72. Segur P, Massines F. The role of numerical modeling to understand the behavior and to predict the existence of an atmospheric pressure glow discharge controlled by a dielectric barrier. In: Proceedings of the XIIIth international conference of gas discharges and their applications, Glasgow, September 3-8, 2000. p. 15-24.
73. Shin J., and Raja L.L. Dynamics of pulse phenomena in helium dielectric-barrier atmospheric-pressure glow discharges. J Appl Phys 94 12 (2003) 7408-7415
74. Govindan T.R., and Meyappan M. One-dimensional modeling studies of the gaseous electronic conference RF reference cell. J Res NIST 100 4 (1995) 463-472
75. Yuan X., and Raja L.L. Computational study of capacitively coupled high-pressure glow discharges in helium. IEEE Trans Plasma Sci 31 4 (2003) 495-503
76. Boeuf J.P. Numerical modeling of RF glow discharges. Phys Rev A 36 4 (1987) 2782-2792
77. Lymberopoulos D.P., and Economou D.J. Two-dimensional self-consistent radio frequency plasma simulations relevant to the gaseous electronics conference RF reference cell. J Res NIST 100 4 (1995)
78. Campbell R.B., Veerasingham R., and McGrath R.T. A two-dimensional multispecies fluid model of the plasma in an AC plasma display panel. IEEE Trans Plasma Sci 23 4 (1995) 698-708
79. Boeuf J.P., and Pitchford L.C. Two-dimensional model of a capacitively coupled rf discharge and comparisons with experiments in the gaseous electronics conference reference reactor. Phys Rev E 51 2 (1995) 1376-1390
80. Meunier J., Belenguer Ph., and Boeuf J.P. Numerical model of an ac plasma display panel cell neon-xenon mixtures. J Appl Phys 78 2 (1995) 731-745
81. Veerasingham R., Campbell R.B., and Mcgrath R.T. One-dimensional single and multipulse simulations of the ON/OFF voltages and the bistable margin for He, Xe filled plasma display panels. IEEE Trans Plasma Sci 24 6 (1996) 1399-1410
82. Dhali S.K., and Williams P.F. Two-dimensional studies of streamers in gases. J Appl Phys 62 (1987) 4696
83. Colella P., Dorr M.R., and Wake D.D. A conservative finite difference method for the numerical solution of plasma fluid equations. J Comp Phys 149 (1999) 168-193
84. Golubovskii Y.B., Maiorov V.A., Behnke J., and Behnke J.F. Study of homogeneous glow-like discharge in nitrogen at atmospheric pressure. J Phys D: Appl Phys 37 (2004) 1346-1356
85. Surendra M. Radio frequency discharge benchmark model comparison. Plasma Sources Sci Technol 4 (1995) 56-73
86. Ventzek P.L.G., Sommerer T.J., Hoekstra R.J., and Kushner M.J. Two-dimensional hybrid model of inductively coupled plasma sourced for etching. Appl Phys Lett 62 (1993) 3247-3249
87. 3 using a Monte Carlo-fluid hybrid model. J Appl Phys 71 4 (1992) 1654-1673
88. Hammond E.P., Mahesh K., and Moin P. A numerical method to simulate radio-frequency plasma discharges. J Comp Phys 176 (2002) 402-429
89. Gaitonde DV, Visbal, MR, Roy S. A coupled approach for plasma-based flow control simulations of wing sections. In: 44th AIAA aerospace engineering sciences meeting and exhibit, Reno, NV, January 9-12, AIAA paper 2006-1205.
90. Colella P., Dorr M.R., and Wake D.D. Numerical solution of plasma fluid equations using locally refined grids. J Comp Phys 152 (1999) 550-583
91. Shyy W. A study of finite difference approximations to steady-state, convection dominated flow problems. J Comp Phys 57 (1985) 415-438
92. Valorani M., and Goussis D.A. Explicit time-scale splitting algorithms for stiff problems: auto-ignition of gaseous mixtures behind a steady shock. J Comp Phys 169 (2001) 44-79
93. Bussing T.R.A., and Murman E.M. Finite-volume method for the calculation of compressible chemically reacting flows. AIAA J 26 9 (1988) 1070-1078
94. Knoll D.A., and Keyes D.E. Jacobian-free Newton Krylov methods: a survey of approaches and applications. J Comp Phys 193 (2004) 357-397
95. Turkel E. Review of preconditioning methods for fluid dynamics, NASA CR-189712, ICASE report no 92-47, 1992.
96. Merkle C.L., Sullivan J.Y., Buelow P.E.O., and Venkateswaran S. Computations of flows with arbitrary equations of state. AIAA J 36 4 (1998) 515
97. Schwer D.A., Lu P., Green Jr. W.H., and Semiao V. A consistent-splitting approach to computing stiff steady-state reacting flows with adaptive chemistry. Comb Theory Model 7 (2003) 383-399
98. Hagelaar G.J.M., and Kroesen G.M.W. Speeding up fluid models for gas discharges by implicit treatment of the electron energy source term. J Comp Phys 159 1 (2000) 1-12
99. Yoon S., and Jameson A. Lower-upper symmetric Gauss-Seidel method for the Euler and Navier-Stokes equations. AIAA J 26 9 (1988) 1025
100. Cohen S.D., and Hindmarsh A.C. CVODE: a stiff/nonstiff ODE solver in C. Comp Phys 10 2 (1996) 138-143
101. Oran E.S., and Boris J.P. Numerical simulation of reactive flow. 2nd ed (2001), Cambridge University Press, Cambridge
102. Brown P.N., Byrne G.D., and Hindmarsh A.C. VODE: a variable coefficient ODE solver. SIAM J Sci Stat Comput 10 (1989) 1038
103. Tyson R., Stern L.G., and Leveque R.J. Fractional steps method applied to chemotaxis model. J Math Biol 41 (2000) 455-475
104. Strang G. On the construction and comparison of difference schemes. SIAM J Num Anal 21 (1969) 994-1011
105. Sportissee B. An analysis of operator splitting techniques in the stiff case. J Comp Phys 161 (2000) 140-168
106. Shyy W., and Sun C.-S. Development of a pressure-correction/staggered-grid based multigrid solver for incompressible recirculating flows. Comput Fluids 22 (1993) 51-76
107. Shyy W. Computational modeling for fluid flow and interfacial transport (1994), Elsevier, Amsterdam, Netherlands
108. Enloe C, Mclaughlin T, Van Dyken R, Fischer J. Plasma structure in the aerodynamic plasma actuator. In: 42nd AIAA aerospace sciences meeting and exhibit, Reno, Nevada, January 5-8, AIAA paper 2004-0846.
109. Visbal MR, Gaitonde DV, Roy S. Control of transitional and turbulent flows using plasma-based actuators. In: 36th AIAA fluid dynamics conference and exhibit, San Francisco, CA, 5-8 June, AIAA paper 2006-3230.
110. Hagelaar G.J.M., de Hoog F.J., and Kroesen G.M.W. Boundary conditions in fluid models of gas discharges. Phys Rev E 62 1 (2000) 1452-1454
111. Jayaraman B. Computational modeling of glow discharge-induced fluid dynamics, PhD dissertation, Department of Mechanical and Aeropsace Engineering, University of Florida, Gainesville, 2006.
112. Corke TC, Jumper EJ, Post ML, Orlov D, Mclaughlin TE. Application of weakly-ionized plasmas as wing flow-control devices. In: 41st Aerospace sciences meeting & exhibit, Reno, NV, AIAA paper 2002-0350.
113. Post ML, Corke TC. Separation control on high angle of attack airfoil using plasma actuators. In: 41st aerospace sciences meet and exhibit, Reno, NV, AIAA paper 2003-1024.
114. Roth JR, Sin H, Madhan RCM, Wilkinson SP. Flow re-attachment and acceleration by paraelectric and peristaltic electrohydrodynamic effects. In: 41st Aerospace sciences meet & exhibit, Reno, NV, January 6-9, AIAA paper 2003-0351.
115. List J, Byerly AR, Mclaughlin TE, Van Dyken RD. Using plasma actuator to control laminar separation on a linear cascade turbine blade. In: 41st Aerospace sciences meet & exhibit, Reno, NV, January 6-9. AIAA paper 2003-1026.
116. Santhanakrishnan A, Pern NJ, Ramkumar K, Simpson A, Jacob JD. Enabling flow control technology for low speed UAV's, Infotech at aerospace, Arlington, Virginia, September 26-29, AIAA Paper 2005-6960.
117. Göksel B, Greenblatt D, Rechenberg I, Nayeri CN, Paschereit CO. Steady and unsteady plasma wall jets for separation and circulation control. In: Third AIAA flow control conference, San Francisco, CA, June 5-8, AIAA paper 2006-3686.
118. Corke TC, Mertz B, Patel MP. Plasma flow control optimized airfoil. In: 44th AIAA aerospace sciences meeting and exhibit, Reno, NV, January 9-12, AIAA paper 2006-1208.
119. Corke TC, Matlis E. Phased plasma arrays for unsteady flow control, Fluids 2000, Denver, CO, AIAA paper 2000-2323.
120. Rivir R, White A, Carter C, Ganguly B, Jacob J, Forelines A, et al. AC and pulsed plasma flow control. In: 42nd Aerospace sciences meet and exhibit, Reno, NV, AIAA paper 2004-0847.
121. Soldati A., and Banerjee S. Turbulence modification by large-scale organized electrohydrodynamic flows. Phys Fluids 10 7 (1998) 1742-1756
122. Soldati A., and Marchioli C. Prospects for modulation of turbulent boundary layer by EHD flows, turbulence structure and modulation (2001), Springer, Wien p. 119-60
123. Porter CO, Mclaughlin TE, Enloe CL, Font GI, Roney J, Baughn JW. Boundary layer flow control using a DBD plasma actuator. In: 45th Aerospace sciences meet & exhibit, Reno, NV, January 8-11, AIAA paper 2007-0786.
124. Porter C.O., Baughn J.W., Mclaughlin T.E., Enloe C.L., and Font G.I. Plasma actuator force measurements. AIAA J 45 7 (2007) 1562
125. Singh KP, Roy S, Gaitonde DV. Modeling of dielectric barrier discharge plasma actuator with atmospheric air chemistry. In: 37th AIAA plasmadynamics and lasers conference, SanFrancisco, CA, June 5-8, AIAA paper 2006-3381.
126. Dhanak M.R., and Si C. On reduction of turbulent wall friction through spanwise wall oscillations. J Fluid Mech 383 (1999) 175-195
127. Du Y., Symeonidis V., and Karniadakis G.E. Drag reduction in wall-bounded turbulence via a transverse traveling wave. J Fluid Mech 457 (2002) 1-34
128. Jayaraman B, Lian Y, Shyy W. Low-Reynolds number flow control using dielectric barrier discharge actuators. In: 37th AIAA fluid dynamics conference and exhibit, Miami, FL, June 25-28, AIAA paper 2007-3974.
129. Rizzetta DP, Visbal MR. Numerical investigation of plasma-based flow control for a transitional highly-loaded low pressure turbine. In: 45th Aerospace sciences meeting and exhibit, Reno, NV, January 8-11, AIAA paper 2007-0938.
130. Martin A., Saltiel C., and Shyy W. Heat transfer enhancement with porous inserts in recirculating flows. J Heat Trans 120 (1998) 458-467
131. Tennekes H., and Lumley J.L. A first course in turbulence (1972), The MIT press, Cambridge, MA, USA
132. Shyy W., Thakur S., Ouyang H., Liu J., and Blosch E. Computational techniques for complex transport phenomena (1997), Cambridge University Press, Cambridge, UK
133. Shyy W., Berg M., and Ljungqvist D. Flapping and flexible wings for biological and micro vehicles. Prog Aerospace Sci 35 (1999) 455-506
134. Shyy W., Lian Y., Tang J., Viieru D., and Liu H. Aerodynamics of low Reynolds number flyers (2008), Cambridge University Press, Cambridge
135. Lissaman P.B.S. Low-Reynolds-number Airfoils. Annu Rev Fluid Mech 15 (1983) 223-239
136. Mabe JH, Calkins FT, Wesley B, Woszidlo R, Taubert L, Wygnanski I. On the use of single dielectric barrier discharge plasma actuators for improving the performance of airfoils. In: 37th AIAA fluid dynamics conference and exhibit, Miami, FL, June 25-28, AIAA paper 2007-3972.
137. Wilcox D. Turbulence modeling for CFD. 2nd ed (2000), DCW Industries, Inc, La Canada, CA
138. Lian Y., and Shyy W. Laminar-turbulent transition of a low Reynolds number rigid or flexible airfoil. AIAA J 45 7 (2007) 1501-1513
139. Golubovskii Y.B., Maiorov V.A., Behnke J., and Behnke J.F. Modeling of homogeneous barrier discharge in helium at atmospheric pressure. J Phys D: Appl Phys 36 (2003) 39-49
140. Hitchon W.N.G., Koch D.J., and Adams J.B. An Efficient scheme for convection dominated transport. J Comt Phys 83 (1989) 79