Hostname: page-component-7479d7b7d-q6k6v Total loading time: 0 Render date: 2024-07-08T14:52:31.310Z Has data issue: false hasContentIssue false

Effect of aspect ratio variation on subsonic aerodynamics of cascade type grid fin at different gap-to-chord ratios

Published online by Cambridge University Press:  03 December 2019

M. Tripathi*
Affiliation:
Aerospace Engineering Defence Institute of Advanced Technology, Pune, India
M.M. Sucheendran
Affiliation:
Department of Mechanical and Aerospace Engineering Indian Institute of Technology Hyderabad, Hyderabad, India
A. Misra
Affiliation:
Aerospace Engineering Defence Institute of Advanced Technology, Pune, India

Abstract

This paper dwells upon investigating the effect of aspect ratio (AR) variation on the aerodynamic performance of unconventional control surfaces called grid fins by virtue of a series of subsonic experiments on a simplified grid fin variant called the cascade fin. Wind tunnel tests were performed for different AR (variable span) grid fins. The same had been investigated for different gap-to-chord ratio (g/c) variants. Results demonstrated a tangible increase in the aerodynamic efficiency as well as stall angle reduction for higher AR. Moreover, higher AR leads to increased pitching moment, which emphasizes elevated hinge moment requirements. The study ensued the presence of higher deviation between the low AR fins, that is $AR<2$ compared to the pertinent deviations between the high AR fins, that is $AR\geq2$ . The effect associated with these variations was termed as span effect in this paper. It was established that, the deviations arising due to this phenomena were lesser for higher g/c and higher AR. The analysis of AR variation for different g/c presented a limiting value of AR reduction for stall performance enhancement. Thus, optimised selection of the g/c and AR values can lead to enhanced aerodynamic efficiency alongside an improved stalling characteristic.

Type
Research Article
Copyright
© Royal Aeronautical Society 2019

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Zaloga, S.The Scud and Other Russian Ballistic Missile Vehicles, Number 7037 in Armor at War Series. Concord Publications Co., 2000, New Territories, Hong Kong.Google Scholar
Belotserkovskiy, S., Odnovol, L.A., Safin, Y.Z., Tyulenev, A., Frolov, V. and Shitov, VA. Keshetechatye krylaya (lattice wings). Machine Translation, Wings with Internal Framework, FTD-ID (RS)-1289-86, Foreign Technology Division, February 1987, pp 1096.Google Scholar
Pruzan, D.A., Mendenhall, M., Rose, W. and Schuster, D. Grid fin stabilization of the orion launch abort vehicle, AIAA Paper 2011-3018, 29th AIAA Applied Aerodynamics Conference, Honolulu, Hawaii, US., 27–30 June 2011. AIAA.CrossRefGoogle Scholar
Fulghum, D.A.Aviation Week & Space Technology, march 16 ed, March, 2003, chapter It is the Big One (MOAB actually fits in a B-2), pp 33–35. Aviation Week Network. Available from: http://www.freerepublic.com/focus/f-news/874758/posts (Accessed on 31 March 2019).Google Scholar
Yakimenko, O.A. et al. Mobile system for precise aero delivery with global reach network capability, 2009 IEEE International Conference on Control and Automation, pp 13941398, Christchurch, New Zealand, 9–11 December 2009. IEEE.CrossRefGoogle Scholar
SpaceX. Falcon 9, Hawthorne, California, USA, 2015. Available from: http://www.spacex.com/falcon9 (Accessed on 21 October 2017).Google Scholar
Palaszewski, B. and Field, L., Entry descent, and landing with propulsive deceleration: Supersonic retropropulsion wind tunnel testing. AIAA Paper 2013-0027, 51st AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Nashville, Tennessee, 7–10 January 2012. AIAA.CrossRefGoogle Scholar
Sreenivasulu, J. and Sivaramakrishnan, E. Aerodynamic analysis of a rocket configuration with grid fin. FMFP10-HS-14, 4th International Conference on Fluid Mechanics and Fluid Power, IIT Madras, Chennai, India, 16–18 December 2010. The National Society for Fluid Mechanics and Fluid Power (NSFMFP).Google Scholar
Savelsberg, R. and Kiessling, J. North Korea’s Musudan Missile: A performance assessment, 38 North, Stimson center, Washington D.C., USA, 2016. Available from: http://38north.org/2016/12/musudan122016 (Accessed on 21 October 2017).Google Scholar
Hu, R., Jameson, A. and Wang, Q.Adjoint-based aerodynamic optimization of supersonic biplane airfoils. J Aircr, 2012, 49, (3), pp 802814.CrossRefGoogle Scholar
Washington, W. D., Booth, P. and Miller, M.S. Curvature and leading edge sweep back effects on grid fin aerodynamic characteristics. AIAA Paper 93-3480-CP, 11th AIAA Applied Aerodynamics Conference, Monterey, CA, USA, 9–11 August 1993. AIAA.CrossRefGoogle Scholar
Washington, W.D. and Miller, M.S. Experimental investigations of grid fin aerodynamics: A synopsis of nine wind tunnel and three flight tests, Proceedings of the NATO RTO-MP-5, Missile Aerodynamics, pp 10–1–10–14, Sorrento, Italy, 11–14 May 1998. NATO Research and Technology Organization.Google Scholar
Simpson, G.M. and Sadler, A.J. Lattice controls: A comparison with conventional, planar fins, Proceedings of the NATO RTO-MP-5, Missile Aerodynamics, pp 9–1–9–10, Sorrento, Italy, 11–14 May 1998. NATO Research and Technology Organization.Google Scholar
Berner, C. and Dupuis, A. Wind tunnel tests of a grid finned projectile configuration. AIAA Paper 2000–0105, 39th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, USA, 8–11 January 2001. AIAA.CrossRefGoogle Scholar
Dupuis, A. and Berner, C. Aerodynamic aspects of a grid finned projectile at subsonic and supersonic velocities. Paper EB11, 19th International Symposium on Ballistics, pages 495502, Interlaken, Switzerland, 7–11 May 2001. IBS 2001 Symposium Office Thun, Switzerland.Google Scholar
Abate, G., Winchenbach, G. and Hathaway, W. Transonic aerodynamic and scaling issues for lattice fin projectiles tested in a ballistics range. Paper EB01, 19th International Symposium of Ballistics, pp 413420, Interlaken, Switzerland, 7-11 May 2001. IBS 2001 Symposium Office Thun, Switzerland.Google Scholar
Fournier, E.Y. Wind tunnel investigation of a high L/D projectile with grid fin and conventional planar control surfaces. Paper EB13, 19th International Symposium of Ballistics, pp 511520, Interlaken, Switzerland, 7–11 May 2001. IBS 2001 Symposium Office Thun, Switzerland.Google Scholar
Hiroshima, F. and Tatsumi, K. Grid pattern effects on aerodynamic characteristics of grid fins. Paper ICAS 2004-2.11.R, 24th International Congress of the Aeronautical Sciences, Yokohama, Japan, 29 August–3 September 2004. The International Council of the Aeronautical Sciences (ICAS).Google Scholar
Brooks, R.A. and Burkhalter, J.E.Experimental and analytical analysis of grid fin configurations. J Aircr, 1989, 26, (9), pp 885887.CrossRefGoogle Scholar
Burkhalter, J.E., Hartfield, R.J. and Leleux, T.M.Nonlinear aerodynamic analysis of grid fin configurations. J Aircr, 1995, 32, (3), pp 547554.CrossRefGoogle Scholar
Burkhalter, J.E. and Frank, H.M.Grid fin aerodynamics for missile applications in subsonic flow. J Spacecr Rockets, January–February 1996, 33(1), pp 3844.CrossRefGoogle Scholar
Theerthamalai, P.Aerodynamic characterization of grid fins at subsonic speeds. J Aircr, 2007, 44, (2), pp 694698.CrossRefGoogle Scholar
Theerthamalai, P. and Nagarathinam, M.Aerodynamic analysis of grid-fin configurations at supersonic speeds. J Spacecr Rockets, 2006, 43, (4), pp 750756.CrossRefGoogle Scholar
Ledlow II, T., Burkhalter, J.E. and Hartfield, R.J. Integration of grid fins for the optimal design of missile systems, AIAA Paper 2015-1017, AIAA Atmospheric Flight Mechanics Conference at the 2015 AIAA Sci-Tech Forum, Kissimmee, Florida, USA, 5-9 January 2015. AIAA.CrossRefGoogle Scholar
Zhaoqing, X. and Hailong, P. Dynamic characteristics analysis of cruise missile controlled by grid fin. 2016 Chinese Control and Decision Conference (CCDC), pp 370374, Yinchuan, China, 28–30 May 2016. Northeastern University of China.CrossRefGoogle Scholar
Sun, Y. and Khalid, M. A CFD investigation of grid fin missiles. AIAA Paper 98-3571, 34th AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit, Cleveland, Ohio, USA, 13–15 July 1998. AIAA.CrossRefGoogle Scholar
Chen, S., Khalid, M., XU, H. and Lesage, F. A comprehensive CFD investigation of grid fins as efficient control surface devices. AIAA Paper 2000-987, 38th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, USA, 10–13 January 2000. AIAA.CrossRefGoogle Scholar
Chen, S., Khalid, M., XU, H. and Lesage, F.An investigation of the grid fins as control surface devices for missiles. Aeronaut J, 2000, 104, (1034), pp 183190.Google Scholar
DeSpirito, J., Edge, H.L., Weinacht, P., Sahu, J. and Dinavahi, S.P.G. CFD analysis of grid fins for maneuvering missiles. AIAA Paper 2000-391, 38th Aerospace Sciences Meeting and Exhibit, Reno, Nevada, USA, 10–13 January 2000. AIAA.CrossRefGoogle Scholar
DeSpirito, J. and Sahu, J. Viscous CFD calculations of grid fin missile aerodynamics in the supersonic flow regime, AIAA Paper 2001-0257, 39th Aerospace Sciences Meeting and Exhibit, Reno, Nevada, USA, 8–11 January 2001. AIAA.CrossRefGoogle Scholar
DeSpirito, J., Vaughn, M.E. and Washington, W.D.Numerical investigation of canard-controlled missile with planar and grid fins. J Spacecr Rockets, 2003, 40, (3), pp 363370.CrossRefGoogle Scholar
DeSpirito, J., Vaughn, M.E. Jr., and Washington, W.D. Subsonic flow CFD investigation of canard-controlled missile with planar and grid fins. AIAA Paper 2003-0027, 41st AIAA Aerospace Sciences Meeting & Exhibit, Reno, Nevada, USA, 6–9 January 2003. AIAA.CrossRefGoogle Scholar
DeSpirito, J., Washington, W.D. and Jr Vaughn, M.E. Numerical investigation of aerodynamics of canard-controlled missile using planar and grid tail fins, part II: Subsonic and transonic flow. Technical Report ARL-TR-3162, U.S.Air Force Research Lab., Wright-Patterson AFB, Ohio, USA, March 2004.CrossRefGoogle Scholar
Lin, H., Huang, J.C. and Chieng, C.Navier-stokes computations for body/cruciform grid fin configuration. J Spacecr Rockets, 2003, 40, (1), pp 3038.CrossRefGoogle Scholar
Ma, M., Deng, Y., Zheng, M. and Zhou, N. Navier-stokes computations for a grid fin missile. AIAA Paper 2005-4973, 23rd AIAA Applied Aerodynamics Conference, Toronto, Ontario, Canada, 6–9 June 2005. AIAA.CrossRefGoogle Scholar
Munawar, S. Analysis of grid fins as efficient control surface in comparison to conventional planar fins, 27th International Congress of the Aeronautical Sciences, pp 17321737, Nice, France, 19–24 September 2010. The International Council of the Aeronautical Sciences (ICAS).Google Scholar
Despeyroux, A., Hickey, JP., Desaulnier, R., Luciano, R., Piotrowski, M. and Hamel, N.Numerical analysis of static and dynamic performances of grid fin controlled missiles. J Spacecr Rockets, 2015, 52 (4), pp 12361252.CrossRefGoogle Scholar
Dikbas, E., Baran, Ö .U. and Sert, C.Simplified numerical approach for the prediction of aerodynamic forces on grid fins. J Spacecr Rockets, 2018, 55(4), pp 887898.CrossRefGoogle Scholar
Huang, C., Wen, L. and Guowei, Y.Numerical studies of static aeroelastic effects on grid fin aerodynamic performances. Chinese J Aeronautics, 2017, 30, (4), pp 13001314.CrossRefGoogle Scholar
Li, S., Jiang, Z., Zhang, W. and Peng, K. Fluid-thermal-structure coupled analysis of grid fins for hypersonic flight vehicle, 6th International Conference on Computational Methods for Coupled Problems in Science and Engineering, pp 701712, San Servolo Island, Italy, 18–20 May 2015. Northeastern University of China.Google Scholar
Yanushevsky, R.Modern Missile Guidance, 1st ed, 2008, chapter Analysis of Proportional Navigation Guided Missile Systems in the Frequency Domain, p 50. CRC Press, Boca Raton, Florida, USA.Google Scholar
Fleeman, E.L.Tactical Missile Design, 1st ed, 2006, chapter Aerodynamic Considerations in Tactical Missile Design, pp 4042. AIAA Education Series, AIAA, Inc., Reston, VA, USA.Google Scholar
Guyot, D. and Schülein, E. Novel locally swept lattice wings for missile control at high speeds, AIAA Paper 2007-63, 45th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, USA, 8–11 January 2007. AIAA.CrossRefGoogle Scholar
Zeng, Y., Cai, J., Debiasi, M. and Chng, T.L. Numerical study on drag reduction for grid-fin configurations. AIAA Paper 2009-1105, AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition, Orlando, Florida, USA, 5–8 January 2009. AIAA.CrossRefGoogle Scholar
Cai, J.Numerical study on choked flow over grid-fin configurations. J Spacecr Rockets, 2009, 46(5), pp 949956.CrossRefGoogle Scholar
Debiasi, M. Measurements of the forces and moments generated by swept-back grid fins. AIAA Paper 2012–2909, 30th AIAA Applied Aerodynamics Conference, New Orleans, Louisiana, USA, 25–28 June 2012. AIAA.CrossRefGoogle Scholar
Debiasi, M. and Zeng, Y.Forces and moments generated by swept-back grid fins with sharp leading edges. J Aircr, 2016, 53, (6), pp 19641968.CrossRefGoogle Scholar
Dan, W. and Yong, Y. Numerical study on drag reduction for swept-back, swept-front, delta grid fin with blunt and sharp leading edges. AIAA Paper 2014-0638, AIAA Modeling and Simulation Technologies Conference at the 2014 AIAA SciTech Forum, Atlanta, Georgia, USA, 13–17 January 2014. AIAA.CrossRefGoogle Scholar
Misra, A.Investigation of Grid and Cascade fins for Missile Flight Stabilization. PhD thesis, Indian Inst. of Technology, Kanpur, India, April 2009.Google Scholar
Kumar, R., Misra, A. and Ghosh, A.K.Nonlinear modeling of cascade fin aerodynamics using Kirchhoff’s steady-state stall model. J Aircr, 2012, 49, (1), pp 315319.CrossRefGoogle Scholar
Tripathi, M., Sucheendran, M. and Misra, A.Proceedings of the International Conference on Modern Research in Aerospace Engineering, February 2018, chapter High angle-of-attack Analysis of Cascade Fin in Subsonic Flow, pp 121131. Lecture Notes in Mechanical Engineering. Springer, Singapore.CrossRefGoogle Scholar
Tripathi, M., Misra, A. and Sucheendran, M. Effect of planar member cross-section on cascade fin aerodynamics, J Spacecr Rockets. Epub ahead of print, online on: 18 November 2018.CrossRefGoogle Scholar
Tripathi, M., Mahesh, M. S. and Misra, A.Flow field characterization and visualization of grid fin subsonic flow. ASME J Fluids Eng, 2019, 141 (10), pp 122.CrossRefGoogle Scholar
Gabriel, E.T. and Mueller, T.J.Low-aspect-ratio wing aerodynamics at low Reynolds numbers. AIAA J, 2004, 42 (5), pp 865873.Google Scholar
Okamoto, M. and Azuma, A.Aerodynamic characteristics at low Reynolds number for wings of various planforms. AIAA J, 2011, 49, (6), pp 11351150.CrossRefGoogle Scholar
Mizoguchi, M. and Itoh, H.Effect of aspect ratio on aerodynamic characteristics at low Reynolds numbers. AIAA J, 2013, 51, (7), pp 16311639.CrossRefGoogle Scholar
CSIR- National Aerospace Laboratories. Micro air vehicle Aerodynamics Research Tunnel (MART) facility, Bangalore, India, 2018. Available from: https://www.nal.res.in/en/facilities/mart. (Accessed on 15 November 2018).Google Scholar