Vol 8, No 3 (2017) > Mechanical Engineering >

Computational and Analytical Investigation of Aerodynamic Derivatives of Similitude Delta Wing Model at Hypersonic Speeds

Musavir Bashir, S. A. Khan, Qummare Azam, Ayub Ahmed Janvekar


Abstract: This research paper presents a computational and analytical investigation
of aerodynamic derivatives in an oscillating wedge. Unsteady hypersonic
similitude has been apprehended for an oscillating wedge with an attached bow
shock at a large incidence angle. The problems of instability and shock waves
are generally associated with hypersonic flow and, therefore, it is imperative
to evaluate aerodynamic models that can solve these problems. Lighthill’s
piston theory is an unsteady aerodynamic model that is valid for an oscillating
wedge with an attached shock wave. The analytical solution verifies that both
the stiffness and the damping derivatives attain high values when the
semi-vertex angle of the wedge is increased, while both derivatives assume
lower values at increasing Mach numbers. Similarly, the pressure distribution
over the wedge is evaluated to determine the details of how the developing flow
cause the instabilities. Our study presents the contour plots of pressure,
temperature, density, and Mach number that unravels the positions of flow
separations in an oscillating wedge model.
Keywords: Damping derivatives; Hypersonic flow; Piston theory; Stiffness derivatives; Wedge model

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Brandon, J., Wang, Z., Li, J., et al., 2001. Estimation of Unsteady Aerodynamic Models from Flight Test Data. AIAA paper, 4017: 2001

Carrier, G., 2012. The Oscillating Wedge in a Supersonic Stream. Journal of the Aeronautical Sciences, Volume 16(3), pp. 150-152

Corke, T.C., Thomas, F.O., 2015. Dynamic Stall in Pitching Airfoils: Aerodynamic Damping and Compressibility Effects. Annual Review of Fluid Mechanics, Volume 47, pp. 479-505

Crasta, A., Baig, M.A.A., Khan, S.A., 2012. Estimation of Stability Derivatives of a Delta Wing in Hypersonic Flow. International Journal of Emerging Trends in Engineering and Developments, Volume 6(2), pp. 505-516

Crasta, A., Khan, S., 2012. Oscillating Supersonic Delta Wing with Straight Leading Edges. International Journal of Computational Engineering Research, Volume 2(5), pp. 1226-1233

Crasta, A., Khan, S., 2013. Effect of Angle of Incidence on Stability Derivatives of a Wing. National Conference on Challenges in Research & Technology in the Coming Decades (CRT 2013), 27-28 September, IET

Crasta, A., Khan, S., 2014. Effect of Angle of Attack on Stability Derivatives of a Delta Wing with Straight Leading Edge in Supersonic Flow. International Journal of Mathematics, Volume 10, pp. 01-08

Ghosh, K., 1984. Hypersonic Large-deflection Similitude for Oscillating Delta Wings. Aeronautical Journal, Volume 88(878), pp. 358-361

Huda, Z., Edi, P., 2013. Materials Selection in Design of Structures and Engines of Supersonic Aircrafts: A Review. Materials & Design, Volume 46, pp. 552-560

Hui, W.H., 1969. Stability of Oscillating Wedges and Caret Wings in Hypersonic and Supersonic Flows. AIAA Journal, Volume 7(8), pp. 1524-1530

Kuchemann, D., 2014. Aircraft Shapes and Their Aerodynamics for Flight at Supersonic Speeds. Advances in Aeronautical Sciences, Volume 3, pp. 221-252

Lamorte, N., Friedmann, P.P., 2014. Hypersonic Aeroelastic and Aerothermoelastic Studies using Computational Fluid Dynamics. AIAA Journal, Volume 52(9), pp. 2062-2078

Lamorte, N., Friedmann, P.P., Glaz, B., Culler, A.J., Crowell, A.R., McNamara, J.J., 2014. Uncertainty Propagation in Hypersonic Aerothermoelastic Analysis. Journal of Aircraft, Volume 51(1), pp. 192-203

Lighthill, M.J., 2012. Oscillating Airfoils at High Mach Number. Journal of the Aeronautical Sciences, Volume 20(6), pp. 402-406

Liu, D., Yao, Z.X., Sarhaddi, D., Chavez, F., 1997. From Piston Theory to a Unified Hypersonic-supersonic Lifting Surface Method. Journal of Aircraft, Volume 34(3), pp. 304-312

Luo, D., Yan, C., Wang, X., 2015. Computational Study of Supersonic Turbulent-separated Flows using Partially Averaged Navier-stokes Method. Acta Astronautica, Volume 107, pp. 234-246

Mansoorzadeh, S., Javanmard, E., 2014. An Investigation of Free Surface Effects on Drag and Lift Coefficients of an Autonomous Underwater Vehicle (AUV) using Computational and Experimental Fluid Dynamics Methods. Journal of Fluids and Structures, Volume 51, pp. 161-171

Morgenstern, J., Buonanno, M., Yao, J., Murugappan, M., Paliath, U., Cheung, L., Malcevic, I., Ramakrishnan, K., Pastouchenko, N., Wood, T., Martens, S., Viars, P., Tersmette, T., Lee, J., Simmons, R., Plybon, D., Alonso, J., Palacios, F., Lukaczyk, T., Carrier, G., 2015. Advanced Concept Studies for Supersonic Commercial Transports Entering Service in the 2018-2020 period phase 2. NASA Technical Reports Server (NTRS), NASA/CR-2015-218719

Oppenheimer, M.W., Doman, D.B., 2006. A Hypersonic Vehicle Model Developed with Piston Theory. AIAA Atmospheric Flight Mechanics Conference and Exhibit, Keystone, Colorado, pp. 1-20

Orlik-Rückemann, K., 1975. Dynamic Stability Testing of Aircraft—Needs Versus Capabilities. Progress in Aerospace Sciences, Volume 16(4), pp. 431-447

Pike, J., 1972. The Pressure on Flat and Anhedral Delta Wings with Attached Shock Waves. Aeronautical Quarterly, Volume 23, pp. 253-262

Sobieczky, H. (Ed.), 2014. New Design Concepts for High Speed Air Transport. Springer- 1997, eBook ISBN- 978-3-7091-2658-5. DOI- 10.1007/978-3-7091-2658-5

Xu, B., Shi, Z., 2015. An Overview on Flight Dynamics and Control Approaches for hypersonic Vehicles. Science China Information Sciences, Volume 58(7), pp. 1-19