2. MARCO TEÓRICO
2.2. COMPUESTOS ANTIOXIDANTES
2.2.2. POLIFENOLES Y FENOLES
The presented investigations lend strong evidence to the validity of vortex generator use as a flow control method in supersonic inlets. The fact that micro-vortex generators have the ability to reduce SWBLI separation and improve the boundary layer characteristics both downstream and through a shock and subsonic diffuser supports the use of vortex generators as a form of inlet flow control, possibly replacing or augmenting currently used forms of control such as bleed. However, a greater understanding of micro-vortex generator design corresponding to specific supersonic inlets that are tailored to their use is required for full utilization and minimization of the positive and negative effects, respectively.
Future investigations should further examine the unsteady aspects of normal shock wave/boundary layer interactions and micro-vortex generator flow control. Depending on the shock wave location and inlet geometry, the vortex generators have the potential to increase shock wave oscillations. The relationship of the shock placement and shape relative to the geometric throat of the inlet should be more methodically investigated and understood with vortex generator control in order to minimize
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unsteadiness. The historical literature on normal shock wave/boundary-layer interactions is extensive, focusing on time-averaged measurements, but the more recent fundamental studies on SWBLI structure and unsteadiness, utilizing modern techniques such as tomographic PIV and LES/DNS numerical methods, have focused on impinging oblique and compression ramp shock waves rather than normal shock waves. It is true that the large amplitude fluctuations of normal shocks due to the subsonic downstream flow offer a challenging problem. Utilization of a downstream throat and/or splitter plate is likely needed to stabilize the normal shock in small-scale facilities along with the use of high-speed measurements such as high-speed PSP and schlieren to correlate shock structure and pressure distribution through a normal SWBLI.
Additional diagnostic techniques such as tomographic PIV are needed to understand MVG vortex structure and its interaction with SWBLIs. Continued development of skin friction measurement techniques such as Surface Stress Sensitive Film (S3F) are critical in the analysis of MVGs where a deeper understanding of streamwise vortex strength, wake velocity deficit, and vortex spacing versus the effects of upwash and downwash are needed. It will be important to minimize the response time of the S3F method while using another simultaneous diagnostic such as schlieren photography to pinpoint shock location. Control of side wall effects should also be considered with methods other than bleed, which may inadvertently affect the centerline flowfield. The use of chamfered corners has not yet been examined experimentally and may help provide a greater understanding of the interaction between corner effects and vortex generator control. One simple solution is to use axisymmetric tunnels in the examination of VGs, eliminating one variable entirely and obtaining a fundamental knowledge base of VG flow control on SBLIs prior to reintroducing three-dimensional effects.
In regards to the design of future iterations of camera housings for use in large-scale testing, a recommendation is to intensify the illumination by increasing the number and power of the light-emitting diodes. Another improvement would be to use a camera chip set that can be specifically shaped and modified to best suit the test configuration with minimum size. This would ensure a compact camera housing for the specific needs of the test. It is also recommended to use a camera with as high a frame rate as possible. Other optical techniques such as PIV are possible in these environments, as well, with enough preparation.
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REFERENCES
[1] Dolling, D.S., "Fifty Years of Shock-Wave/Boundary-Layer Interaction Research: What Next?" AIAA Journal, Vol. 39, No. 8, 2001, pp. 1517-1531.
[2] Blinde, P.L., Humble, R.A., van Oudheusden, B.W., and Scarano, F., "Effects of micro-ramps on a shock wave/turbulent boundary layer interaction," Shock Waves, Vol. 19, 2009, pp. 507-520.
[3] MacManus, D., "Shock Boundary Layer Interactions," Encyclopedia of Aerospace Engineering, 2010, pp. 317-327.
[4] Sajben, M., Morris, M.J., Bogar, T.J., and Kroutil, J., "Confined Normal-Shock/Turbulent-Boundary- Layer Interaction Followed by an Adverse Pressure Gradient," AIAA Journal, Vol. 29, No. 12, 1991, pp. 2115-2123.
[5] Titchener, N., and Babinsky, H., "Shock Wave/Boundary-Layer Interaction Control Using a Combination of Vortex Generators and Bleed," AIAA Journal, Vol. 51, No. 5, 2013, pp. 1221-1233. [6] Lu, F.K., Li, Q., and Liu, C., "Microvortex generators in high-speed flow," Progress in Aerospace Sciences, Vol. 53, 2012, pp. 30-45.
[7] Nussdorfer, T.J., "Some Observations of Shock-Induced Turbulent Separation on Supersonic Diffusers," NACA, RM E51L26, Washington, 1954.
[8] Titchener, N., Babinsky, H., and Loth, E., "Can Fundamental Shock-Wave/Boundary-Layer
Interaction Research be Relevant to Inlet Aerodynamics?" 50th AIAA Aerospace Sciences Meeting, AIAA Paper 2012-0017, 2012.
[9] Morris, M.J., Sajben, M., and Kroutil, J.C., "Experimental Investigation of Normal-Shock/Turbulent- Boundary-Layer Interactions with and without Mass Removal," AIAA Journal, Vol. 30, No. 2, 1992, pp. 359-366.
[10] Lin, J.C., "Review of Research on Low-Profile Vortex Generators to Control Boundary-Layer Separation," Progress in Aerospace Sciences, Vol. 38, No. 4-5, 2002, pp. 389-420.
[11] Ashill, P.R., Fulker, J.L., and Hackett, K.C., "A Review of Recent Developments in Flow Control," The Aeronautical Journal, Vol. 109, No. 1095, 2005, pp. 205-232.
[12] Green, J.E., "Interactions Between Shock Waves and Turbulent Boundary Layers," Progress in Aerospace Sciences, Vol. 11, Pergamon, Oxford, 1970, pp. 235-340.
[13] Clemens, N.T., and Narayanaswamy, V., "Shock/Turbulent Boundary Layer Interactions: Review of Recent Work on Sources of Unsteadiness," 39th AIAA Fluid Dynamics Conference, AIAA Paper 2009- 3710, 2009.
[14] Délery, J., and Dussauge, J.P., "Some physical aspects of shock wave/boundary layer interaction," Shock Waves, Vol. 19, 2009, pp. 453-468.
162
[15] Anderson, B., Tinapple, J., and Surber, L., "Optimal Control of Shock Wave Turbulent Boundary Layer Interactions Using Micro-Array Actuation," AIAA Paper 2006-3197, 2006.
[16] McCormick, D.C., "Shock/Boundary-Layer Interaction Control with Vortex Generators and Passive Cavity," AIAA Journal, Vol. 31, No. 1, 1993, pp. 91-96.
[17] Babinsky, H., Li, Y., and Pitt Ford, C.W., "Microramp Control of Supersonic Oblique Shock- Wave/Boundary-Layer Interactions," AIAA Journal, Vol. 47, No. 3, 2009, pp. 668-675.
[18] Holden, H., and Babinsky, H., "Effect of Microvortex Generators on Separated Normal Shock/Boundary Layer Interactions," Journal of Aircraft, Vol. 44, No. 1, 2007, pp. 170-174. [19] Lee, S., Loth, E., and Babinsky, H., "Normal shock boundary layer control with various vortex generator geometries," Computers & Fluids, Vol. 49, No. 1, 2011, pp. 233-246.
[20] Titchener, N., and Babinsky, H., "Microvortex Generators Applied to Flowfield Containing a Normal Shock Wave and Diffuser," AIAA Journal, Vol. 49, No. 5, 2011, pp. 1046-1056.
[21] Rybalko, M., Babinsky, H., and Loth, E., "Vortex Generators for a Normal Shock/Boundary Layer Interaction with a Downstream Diffuser," Journal of Propulsion and Power, Vol. 28, No. 1, 2012, pp. 71- 82.
[22] Hirt, S.M., Chima, R.V., Vyas, M.A., Wayman, T.R., Conners, T.R., and Reger, R.W., "Experimental Investigation of a Large-Scale Low- Boom Inlet Concept," 29th AIAA Applied Aerodynamics Conference, AIAA Paper 2011-3796, 2011.
[23] Rybalko, M., and Loth, E., "Vortex Generators for a Single-Stream Low-Boom Inlet," 29th AIAA Applied Aerodynamics Conference, AIAA Paper 2011-3803, 2011.
[24] Gillen, T., and Loth, E., "Vortex Generators for a Dual-Stream Low-Boom Inlet," 29th AIAA Applied Aerodynamics Conference, AIAA Paper 2011-3802, 2011.
[25] Carroll, B.F., "A Numerical and Experimental Investigation of Multiple Shock Wave/Turbulent Boundary Layer Interactions in a Rectangular Duct," PhD. Dissertation, Mechanical and Industrial Engineering Dept., University of Illinois at Urbana-Champaign, Urbana, IL, 1988.
[26] Mounts, J.S., and Barber, T.J., "Numerical Analysis of Shock-Induced Separation Alleviation Using Vortex Generators," AIAA Paper 92-0751, 1992.
[27] Seddon, J., and Goldsmith, E.L., "Chapter 10: Shock Oscillation in Intakes," Intake Aerodynamics, AIAA Pub., 1985.
[28] Pirozzoli, S., Bernardini, M., and Grasso, F., "Direct numerical simulation of transonic
shock/boundary layer interaction under conditions of incipient separation," Journal Fluid Mechanics, Vol. 657, 2010, pp. 361-393.
[29] Atkin, C.J., and Squire, L.C., "A study on the interaction of a normal shock wave with a turbulent boundary layer at Mach numbers between 1.30 and 1.55," European Journal of Mechanics, B/Fluids, Vol. 11, No. 1, 1992, pp. 93-118.
163
[30] Humble, R.A., Elsinga, G.E., Scarano, F., and van Oudheusden, B.W., "Three-dimensional instantaneous structure of a shock wave/turbulent boundary layer interaction," Journal of Fluid Mechanics, Vol. 622, 2009, pp. 33-62.
[31] Piponniau, S., Dussauge, J.P., Debieve, J.F., and Dupont, P. "A Simple Model for Low-Frequency Unsteadiness in Shock Induced Separation," Journal Fluid Mechanics, Vol. 629, 2009, pp. 87-108. [32] Beresh, S.J., Clemens, N.T., and Dolling, D.S., "Relationship Between Upstream Boundary Layer Velocity Fluctuations and Separation Shock Unsteadiness," AIAA Journal, Vol. 40, No. 12, 2002, pp. 2412-2422.
[33] Ganapathisubramani, B., Clemens, N.T., and Dolling, D.S., "Low-frequency dynamics of shock- induced separation in a compression ramp interaction," Journal of Fluid Mechanics, Vol. 636, 2009, pp. 397-425.
[34] Priebe, S., and Martin, M.P., "Low-frequency unsteadiness in shock wave-turbulent boundary layer interaction," Journal Fluid Mechanics, Vol. 699, 2012, pp. 1-49.
[35] Agostini, L., Larcheveque, L., Dupont, P., Debieve, J.F., and Dussauge, J.P., "Zones of Influence and Shock Motion in a Shock/Boundary-Layer Interaction," AIAA Journal, Vol. 50, No. 6, 2012, pp. 1377-1387.
[36] van Oudheusden, B.W., Jobsis, A.J.P., Scarano, F., and Souverein, L.J., "Investigation of the unsteadiness of a shock-reflection interaction with time-resolved particle image velocimetry," Shock Waves, Vol. 21, No. 5, 2011, pp. 397-409.
[37] Dussauge, J.P., Dupont, P., and Debieve, J.F., "Unsteadiness in shock wave boundary layer interactions with separation," Aerospace Science and Technology, Vol. 10, No. 2, 2006, pp. 85-91. [38] Bruce, P.J.K., and Babinsky, H., "Unsteady shock wave dynamics," Journal of Fluid Mechanics, Vol. 603, 2008, pp. 463-473.
[39] Bruce, P.J.K., Babinsky, H., Tartinville, B., and Hirsch, C., "Experimental and Numerical Study of Oscillating Transonic Shock Waves in Ducts," AIAA Journal, 2011, pp. 1710-1720.
[40] Lin, J.C., Howard, F.G., and Selby, G.V., "Turbulent Flow Separation Control Through Passive Techniques," AIAA Paper 89-0976, 1989.
[41] Raghunathan, S., "Passive Control of Shock-Boundary Layer Interaction," Progress in Aerospace Sciences, Vol. 25, 1988, pp. 271-296.
[42] Holden, H.A., and Babinsky, H., "Separated Shock–Boundary-Layer Interaction Control Using Streamwise Slots," AIAA Journal, Vol. 42, No. 1, 2005, pp. 166-171.
[43] Ogawa, H., Babinsky, H., Pätzold, M., and Lutz, T., "Shock-Wave/Boundary-Layer Interaction Control Using Three-Dimensional Bumps for Transonic Wings," AIAA Journal, Vol. 46, No. 6, 2008, pp. 1442-1452.
164
[44] Srinivasan, K.R., Loth, E., and Dutton, J.C., "Aerodynamics of Recirculating Flow Control Devices for Normal Shock/Boundary-Layer Interactions," AIAA Journal, Vol. 44, No. 4, 2006, pp. 751-763. [45] Chokani, N., and Squire, L.C., "Transonic Shockwave/Turbulent Boundary Layer Interactions on a Porous Surface," Aeronautical Journal, Vol. 97, 1993, pp. 163-170.
[46] Lee, S., Loth, E., and Babinsky, H., "Normal Shock Boundary Layer Control with Various Vortex Generator Geometries," 5th Flow Control Conference, AIAA Paper 2010-4254, 2010.
[47] Rybalko, M., "Numerical and Experimental Investigation of VG Flow Control for a Low-Boom Inlet," PhD Dissertation, Univ. of Illinois, Urbana-Champaign, IL, 2011.
[48] Chang, W., "Design and Development of a Rectangular Supersonic Wind Tunnel Facility for the Study of Shock/Boundary Layer Interactions," MS Thesis, Aerospace Engineering Dept., University of Illinois at Urbana-Champaign, Urbana, IL, 2011.
[49] Ashill, P.R., Fulker, J.L., and Hackett, K.C., "Research at DERA on Sub Boundary Layer Vortex Benerators (SBVGs)," AIAA Paper 2001-0887, 2001.
[50] Rybalko, M., Loth, E., Chima, R.V., Hirt, S.M., and DeBonis, J.R.,"Micro Ramps for External Compression Low-Boom Inlets," 39th AIAA Fluid Dynamics Conference, AIAA Paper 2009-4206, 2009. [51] Gillen, T., Loth, E., and Rybalko, M., "Vortex Generators for Diffuser of Axisymmetric Supersonic Inlets," 5th Flow Control Conference, AIAA Paper 2010-4253, 2010.
[52] Rybalko, M., Babinsky, H., and Loth, E., "Micro-VG's for a Normal Shock Boundary Layer Flow with a Downstream Diffuser," 40th AIAA Fluid Dynamics Conference and Exhibit, AIAA Paper 2010- 4464, 2010.
[53] Lu, F.K., Pierce, A.J., Shih, Y., Liu, C., and Li, Q., "Experimental and Numerical Study of Flow Topology Past Micro Vortex Generators," 40th AIAA Fluid Dynamics Conference and Exhibit, AIAA Paper 2010–4463, 2010.
[54] Lu, F.K., Pierce, A.J., and Shih, Y., "Experimental Study of Near Wake of Micro Vortex Generators in Supersonic Flow," AIAA Paper 2010-4463, 2010.
[55] Lu, F.K., Li, Q., Shih, Y., Pierce, A.J., and Liu, C., "Review of Micro Vortex Generators in High- Speed Flow," 49th AIAA Aerospace Sciences Meeting, AIAA Paper 2011-31, 2011.
[56] Sun, Z., Schrijer, F.J., Scarano, F., and van Oudheusden, B.W., "The three-dimensional flow organization past a micro-ramp in supersonic boundary layer," Physics of Fluids, Vol. 24, No. 5, 2012, pp. 1-22.
[57] Vyas, M.A., Hirt, S.M., Chima, R.V., Davis, D.O., and Wayman, T.R., "Experimental Investigation of Micro Vortex Generators on a Low Boom Supersonic Inlet," 29th AIAA Applied Aerodynamics Conference, AIAA Paper 2011-3798, 2011.
[58] Ghosh, S., Choi, J.I., and Edwards, J.R., "Numerical Simulations of Effects of Micro Vortex Generators Using Immersed-Boundary Methods," AIAA Journal, Vol. 48, No. 1, 2010, pp. 92-103.
165
[59] Lee, S., Goettke, M.K., Loth, E., Tinapple, J., and Benek, J., "Microramps Upstream of an Oblique- Shock/Boundary-Layer Interaction," AIAA Journal, Vol. 48, No. 1, 2010, pp. 104-118.
[60] Lee, S., Loth, E., Georgiadis, N.J., and DeBonis, J.R., "Effect of Mach Number on Flow Past Microramps," AIAA Journal, Vol. 49, No. 1, 2011, pp. 97-110.
[61] Li, Q., and Liu, C., "Implicit LES for Supersonic Microramp Vortex Generator: New Discoveries and New Mechanisms," Modeling and Simulation in Engineering, No. 934982, 2011, pp. 1-15. [62] Sun, Z., Scarano, F., van Oudheusden, B.W., Schrijer, F.J., Wang, X., Yan, Y., and Liu, C.,
"Numerical and Experimental Investigations of the Flow behind a Supersonic Micro-Ramp," AIAA Paper 2013-0954, 2013.
[63] Liu, C., Sun, Z., Wang, X., and Yan, Y., "The Vortical Structures in the Rear Separation and Wake Produced by a Supersonic Micro-Ramp," AIAA Paper 2013-0248, 2013.
[64] Elsinga, G.E., Adrian, R.J., van Oudheusden, B.W., and Scarano, F., "Three-dimensional vortex organization in a high-Reynolds-number supersonic turbulent boundary layer," Journal of Fluid Mechanics, Vol. 644, 2010, pp. 35-60.
[65] Bo, W., Weidong, L., Yuxin, Z., Xiaoqiang, F., and Chao, W., "Experimental investigation of the micro-ramp based shock wave and turbulent boundary layer interaction control," Physics of Fluids, Vol. 24, No. 5, 2012, pp. 1-24.
[66] Bur, R., Coponet, D., and Carpels, Y., "Separation Control by Vortex Generator Devices in a Transonic Channel Flow," Shock Waves, Vol. 19, No. 6, 2009, pp. 521-530.
[67] Swanson, T., "Interaction of Laser Energy Deposition with a Normal Shock," M.S. Thesis, University of Illinois at Urbana-Champaign, Urbana, IL, 2006.
[68] Sun, C.C., and Childs, M.E., "A Modified Wall Wake Velocity Profile for Turbulent Compressible Boundary Layers," Journal of Aircraft, Vol. 10, No. 6, 1973, pp. 381-383.
[69] White, F.M., "Viscous Fluid Flow," Vol. 3, McGraw-Hill, New York, 2006, Chapts. 5-6.
[70] Fernholz, H.H., and Finley, P.J., "A Critical Commentary on Mean Flow Data for Two-Dimensional Compressible Turbulent Boundary Layers," AGARDograph, Vol. 223, 1980.
[71] Smits, A.J., and Dussauge, J.P., "Turbulent Shear Layers in Supersonic Flow," AIP Press, Woodbury, NY, 1996, Chapts. 7-8.
[72] Fernholz, H.H., and Finley, P.J., "Incompressible Zero-Pressure-Gradient Turbulent Boundary Layers: An Assessment of the Data," Progress in Aerospace Science, Vol. 32, 1996, pp. 245-311. [73] Klebanoff, P., "Characteristics of turbulence in a boundary layer with zero pressure gradient," NACA, 1247, 1955.
166
[75] Lu, F.K., "Surface Flow Visualization: Still Useful After All These Years," The European Physical Journal-Special Topics, Vol. 182, No. 1, 2010, pp. 51-63.
[76] Pierce, A.J., Lu, F.K., Bryant, D.S., and Shih, Y., "New Developments in Surface Oil Flow Visualization," 27th AIAA Aerodynamic Measurement Technology and Ground Testing Conference, AIAA Paper 2010-4353, 2010.
[77] Crafton, J., "The Impingement of Sonic and Sub-sonic Jets onto a Flat Plate at Inclined Angles," PhD Dissertation, Purdue University, West Lafayette, IN, 2004.
[78] Liu, T., Guille, M., and Sullivan, J.P., "Accuracy of Pressure-Sensitive Paint," AIAA Journal, Vol. 39, No. 1, 2001, pp. 103-112.
[79] Humphreys, W.M., and Bartram, S.M., "Measurement of Separating Flow Structures using a Multiple-Camera DPIV System," 19th International Congress on Instrumentation in Aerospace Simulation Facilities, 2001, pp. 82-93.
[80] Urban, W.D., and Mungal, M.G., "Planar Velocity Measurements in Compressible Mixing Layers," Journal of Fluid Mechanics, Vol. 431, 2001, pp. 189-222.
[81] Lazar, E., DeBlauw, B., Glumac, N., Dutton, C., and Elliott, G., "A Practical Approach to PIV Uncertainty Analysis," 27th AIAA Aerodynamic Measurement Technology and Ground Testing Conference, AIAA Paper 2010-4355, 2010.
[82] DeBlauw, B., "Active Control of Massively Separated High-Speed/Base Flows with Electric Arc Plasma Actuators," PhD Dissertation, Univ. of Illinois, Urbana-Champaign, IL, 2012.
[83] Scarano, F., and van Oudheusden, B.W., "Planar velocity measurements of a two-dimensional compresible wake flow," Experiments in Fluids, Vol. 34, No. 3, 2003, pp. 430-441.
[84] Ragni, D., Schrijer, F., van Oudheusden, B.W., and Scarano, F., "Particle tracer response across shocks measured by PIV," Experiments in Fluids, Vol. 50, No. 1, 2011, pp. 53-64.
[85] Raffel, M., Willert, C., and Kompenhans, J., "Particle Image Velocimetry: A Practical Guide," Springer, New York, 1998.
[86] Benedict, L.H., and Gould, R.D., "Towards better uncertainty estimates for turbulence statistics," Experiments in Fluids, Vol. 22, No. 2, 1996, pp. 129-136.
[87] Burton, D.M.F., and Babinsky, H., "Corner separation effects for normal shock wave/turbulent boundary layer interactions in rectangular channels," Journal of Fluid Mechanics, Vol. 707, 2012, pp. 287-306.
[88] Burton, D.M.F., and Babinsky, H., "Normal Shock Interactions in Rectangular Channels," AIAA Paper 2012-1114, 2012.
[89] Bahi, L., Ross, J.M., and Nagamatsu, H.T., "Passive Shock Wave/Boundary Layer Control for Transonic Airfoil Drag Reduction," AIAA Paper 83-0137, 1983.
167
[90] Carroll, B.F., and Dutton, J.C., "Multiple Normal Shock Wave/Turbulent Boundary-Layer Interactions," Journal of Propulsion and Power, Vol. 8, No. 2, 1992, pp. 441-448.
[91] Bur, R., Corbel, B., and Delery, J., "Study of Passive Control in a Transonic Shock Wave/Boundary- Layer Interaction," AIAA Journal, Vol. 36, No. 3, 1998, pp. 394-400.
[92] Titchener, N., Babinsky, H., and Loth, E., "The Effects of Various Vortex Generator Configurations on a Normal Shock Wave/Boundary Layer Interaction," AIAA Paper 2013-0018, 2013.
[93] Lee, S., and Loth, E., "Impact of Ramped Vanes on Normal Shock Boundary-Layer Interaction," AIAA Journal, Vol. 50, No. 10, 2012, pp. 2069-2079.
[94] Orphanides, M., Hafenrichter, E., Lee, Y., Dutton, J.C., Loth, E., and McIlwain, S. T., "Shock- Position Sensitivity and Performance of SBLI Passive-Control Methods," AIAA Paper 2001-2439, 2001. [95] Barter, J.W., and Dolling, D.S., "Reduction of Fluctuating Pressure Loads in Shock/Boundary-Layer Interactions Using Vortex Generators," AIAA Journal, Vol. 33, No. 10, 1995, pp. 1842-1849.
[96] Verma, S.B., Manisankar, C., and Raju, C., "Control of shock unsteadiness in shock boundary-layer interaction on a compression corner using mechanical vortex generators," Shock Waves, Vol. 22, No. 4, 2012, pp. 327-339.
[97] Canny, J., "A Computational Approach to Edge Detection," IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. PAMI-8, No. 6, 1986, pp. 679-698.
[98] Smith, N., Lewis, M., and Chellappa, R., "Extraction of Oblique Structures in Noisy Schlieren Sequences Using Computer Vision Techniques," AIAA Journal, Vol. 50, No. 5, 2012, pp. 1145-1155. [99] Zhang, K., and Naguib, A.M., "Effect of finite cavity width on flow oscillation in a low-Mach- number cavity flow," Experiments in Fluids, Vol. 51, No. 5, 2011, pp. 1209-1229.
[100] Beresh, S.J., Wagner, J.L., and Pruett, O.M., "Supersonic Flow over a Finite-Width Rectangular