Estimation Method for Pitching Moment Non-linearities of Cranked Arrow Wing at Low Speed

ICAO (2017) Annex 16 environmental protection, volume 1 aircraft noise, 8th edn. ICAO

Brennenstuhl U, Hummel D (1982) Vortex formation over double-delta wings. In: Proceeding of 13th Congress of the International Council of the Aeronautical Sciences, ICAS Paper 82–6.6.3, pp. 1133–1146, 1982.

Grafton SB (1984) Low-speed wind-tunnel study of the high-angle-of-attack stability and control characteristics of a cranked-arrow-wing fighter configuration. NASA TM-85776

Levinsky ES, Wei MHY (1968) Nonlinear lift and pressure distribution of slender conical bodies with strake at low speed. NASA CR-1202

Lamar JE (1975) some recent applications of the suction analogy to vortex-lift estimates. In: NASA SP-347, Part II, 1975, pp 985–1011

Brune GW, Weber JA, Johnson FT, Lu P, Rubbert PE (1975) A three-dimensional solution of flows over wings with leading-edge vortex separation. NASA CR-132709

Mehrotra SC, Lan CE (1978) A theoretical investigation of the aerodynamics of low aspect-ratio wings with partial leading-edge separation. NASA CR-145304

Gordon R, Rom J (1985) Calculation of nonlinear subsonic characteristics of wings with thickness and camber at high incidence. AIAA J 23(6):817–825. https://doi.org/10.2514/3.8992

Toyoda K, Kwak D, Noguchi M, Rinoie K (2015) Aerodynamic interference caused by the inboard leading-edge flap on the outboard area of the cranked arrow wing. In: APISAT 2014, Procedia Engineering 99: 1642–1646, 2015, https://doi.org/10.1016/j.proeng.2015.06.050

Higuchi K, LeiZ, Rinoie K (2008) Wing design of supersonic transport by a multi-point optimization method. In: Proc. The 26th Congress of the International Council of the Aeronautical Science, ICAS-631 2008-2.4.3., 2008. https://icas.org/ICAS_ARCHIVE/ICAS2008/PAPERS/409.PDF

Yoshikawa N, Rinoie K, Kwak D (2020) Studies on estimation methods for low speed aerodynamic characteristics of supersonic aircraft considering ground effect and take-off performance. In: Proc. The 58th JSASS Aircraft Symposium, JSASS-2020-5145-3A16 (in Japanese)

Ogawa S, Rinoie K (2011) Low speed flying quality estimation of cranked arrow wing aircraft part 2 pitching moment nonlinearities. In: Proc. The 49th JSASS Aircraft Symposium, JSASS-2011-5094 (in Japanese)

Zhao W, Rinoie K, Kwa, D (2012) Studies on estimation methods for non-linear low speed aerodynamic characteristics of cranked arrow wing. In: Proc. The 50th JSASS Aircraft Symposium, JSASS-2012-5093 (in Japanese)

Toyoda K, Kwak D, Rinoie K (2015) Studies on estimation methods for low speed aerodynamic characteristics of cranked arrow wing considering pitching moment nonlinearities. In: Proc. The 47th JSASS Fluid Dynamics Conference/the 33rd Aerospace Numerical Simulation Symposium, JSASS-2015-2076-F/A (in Japanese)

Lan CE (1974) A quasi-vortex-lattice method in thin wing theory. J Aircr 11(9):518–527. https://doi.org/10.2514/3.60381

Polhamus EC (1966) A concept of the vortex lift of sharp-edge delta wings based on a leading-edge suction analogy. NASA TN D-3767, pp 1–13

Benoliel AM, Mason WH (1994) Pitch-up characteristics for HSCT class planforms: survey and estimation. In: AIAA-1994–1819-CP, 1994. https://doi.org/10.2514/6.1994-1819

Traub LW (1997) Prediction of vortex breakdown and longitudinal characteristics of swept slender planforms. J Aircr 34(3):353–359. https://doi.org/10.2514/2.2177

Kwak D, Miyata K, Noguchi M, Sunada Y, Rinoie K (2002) Experimental investigation of high lift device for SST. Technical Report of National Aerospace Laboratory TR-1450, 2002 (in Japanese)

Coe Jr. PL, Kjelgaard SO, GentryJr. GL (1983) Low-speed aerodynamic characteristics of a highly swept, untwisted, uncambered arrow wing. NASA TP-2176

Grafton SB (1984) Low-speed wind-tunnel study of the high-angle-of-attack stability and control characteristics of a Cranker-arrow-wing fighter configuration. NASA TM-85776

Campbell BA, Kemmerly GT, Kjerstad KJ, Lessard VR (1999) Subsonic investigation of leading- edge flaps designed for vortex- and attached-flow on a high-speed civil transport configuration. NASA TM-1999-209701

Brown CE, Michael WH (1955) On slender delta wings with leading-edge separation. NACA-TN-3430, pp 1–27

Mangler KW, Smith JHB (1959) A theory of the flow past a slender delta wing with leading edge separation. Proc R Soc A 251(1265):200–217. https://doi.org/10.1098/rspa.1959.0102

Smith JHB (1968) Improved calculations of leading-edge separation from slender, thin, delta wings. Proc R Soc A 306(1484):67–90. https://doi.org/10.1098/rspa.1968.0138

Imamura T, Takahashi Y (2013) Unsteady flow simulation around cylinder under airfoil using cartesian- based flow solver. In: AIAA Paper 2013–2857, June 2013. https://doi.org/10.2514/6.2013-2857

Tamaki Y, Imamura T (2018) Turbulent flow simulations of the common research model using immersed boundary method. AIAA J 56(6):2271–2282. https://doi.org/10.2514/1.J056654

Zhang X, Wang Z, Gursul I (2015) Interaction of multiple vortices over a double delta wing. In: 45th AIAA Fluid Dynamics Conference, 2015. https://doi.org/10.1016/j.ast.2015.11.020

Rinoie K, Shirotake M (2006) Vortex behaviors of rolled supersonic transport configuration with leading-edge flaps. J Aircr 43(6):1904–1913. https://doi.org/10.2514/1.21470

Ishibashi H, Imamura T, Rinoie K (2021) Studies of outboard flow separation on cranked arrow wing at low speed and high angle of attack. In: Proc The 59th JSASS Aircraft Symposium, JSASS-2021-5090-2B07 (in Japanese)

Marsden DJ, Simpson RW, Rainbird WJ (1957) An investigation into the flow over delta wings at low speeds with leading edge separation. The College of Aeronautics Cranfield, Rep. No. 114, 1957

Spera AD (2012) Models of lift and drag coefficients of stalled and unstalled airfoils in wind turbines and wind tunnels. NASA/CR-2008-215434

Jacobs NE, Sherman A (1937) Airfoil section characteristics as affected by various of the Reynolds Number. NACA-TR-586

Hirai K, Kwak D, Rinoie K (2008) Effects of different cranked arrow wing configuration on static roll characteristics and vortex flows on the wing. In: The 39th annual conference of the Japan Society for Aeronautical and Space Sciences, 2A16, pp 103–106, 2008 (in Japanese)

Manor D, Wentz HW (1985) Flow over double-delta wing and wing body at high α. J Aircr. https://doi.org/10.2514/3.45083