Abstract
The article considers the development of a near-wall separation vortex arising at a supersonic flow around the external dihedral corner due to the pressure drop between its faces, in the range of angles of attack α = 0.5°–6°. The processes of the origin and development of separation and secondary vortices at the angle increase are investigated in detail. Particular attention is paid to the flow structure change in the vortex location zone. A clear violation of the flow self-similarity in the front part of the model in the zone of vortex system formation is shown.
References
P.K. Chang, Separation of Flow, Pergamon Press, 1970.
Separated flows and jets, IUTAM Symp., Novosibirsk, in: V.V. Kozlov and A.V. Dovgal (Eds.), Springer-Verlag, Berlin Heidelberg, 1991.
A. Stanbrook and L.C. Squire, Possible types of flow at swept leading edges, Aeronaut. Quar., 1964, Vol. 15, No. 2, P. 72–82.
L.C. Squire, Flow regimes over delta airfoils at supersonic and hypersonic speeds, Aeronaut. Quart., 1976, Vol. 27, No. 1, P. 1–14.
J.G. Szodruch and D.J. Peake, Leeward flow over delta airfoils at supersonic speeds, NASA TM, 1980, No. 81187.
G.I. Maykapar, Separated flow on the leeward side of a triangular wing and a body of revolution supersonic flow, TsAGI Bulletin, 1982, Vol. 13, No. 4, P. 22–33.
D.C. Miller and R.M. Wood, An investigation of airfoil leading-edge vortices at supersonic speeds, AIAA Paper, 1983, No. 83-1816.
R.M. Wood and D.C. Miller, Lee side flow over delta airfoils at supersonic speeds, J. Aircraft, 1984, Vol. 21, P. 680–686.
S.N. Seshadri and K.Y. Narayan, Possible types of flow on lee-surface of delta airfoil at supersonic speeds, Aeronaut. J., 1988, No. 5, P. 185–199.
M.D. Brodetsky, A.M. Kharitonov, E. Krause, A.A. Pavlov, S.B. Nikiforov, and A.M. Shevchenko, Supersonic leeside flow topology on delta airfoils revisited, Experiments in Fluids, 2000, Vol. 29, Iss. 6, P. 592–604.
M.D. Brodetsky, E. Krause, S.B. Nikiforov, A.A. Pavlov, A.M. Kharitonov, and A.M. Shevchenko, Evolution of vortex structures on the leeward side of the delta wing, J. Appl. Mech. Tech. Phys., 2001, Vol. 42, No. 2, P. 243–264.
M.D. Brodetsky and A.M. Shevchenko, Some features of a separated flow and supersonic vortex structure at the leeside of a delta airfoil, Separated Flows and Jets, IUTAM Symp., Novosibirsk, in: V.V. Kozlov and A.V. Dovgal (Eds.), Springer-Verlag, Berlin, 1991, P. 341–344.
M.D. Brodetsky and A.M. Shevchenko, An experimental study of supersonic flow on the leeward side of a delta wing, Thermophysics and Aeromechanics, 1998, Vol. 5, No. 3, P. 281–291.
M.D. Brodetsky, A.V. Zabrodin, A.E. Lutsky, A.M. Kharitonov, and A.M. Shevchenko, Numerical and experimental modeling of supersonic flow on the leeward side of a triangular wing, Aeromechanics and Gas Dynamics, 2002, No. 1, P. 3–12.
M.D. Brodetsky, A.V. Zabrodin, A.E. Lutsky, A.M. Kharitonov, and A.M. Shevchenko, Numerical and experimental modelling of supersonic flow regimes around a delta wing, Thermophysics and Aeromechanics, 2004, Vol. 11, No. 2, P. 163–183.
V.I. Kornilov, Spatial near-wall turbulent flows in angular configurations, SB RAS Publishers, Novosibirsk, 2013.
D.D. Knight, T.J. Garrison, G.S. Settles, A.A. Zheltovodov, A.I. Maksimov, A.M. Shevchenko, and S.S. Vorontsov, Asymmetric crossing shock wave/turbulent boundary layer interaction, AIAA J., 1995, Vol. 33, No. 12, P. 2241–2249.
M. Gnedin, D. Knight, A. Zheltovodov, A. Maksimov, A. Shevchenko, and S. Vorontsov, Asymmetric crossing shock wave/turbulent boundary layer interaction, AIAA Paper, 1996, No. 96-2001. P. 1–10.
D.V. Gaitonde, J.S. Shang, T.G. Garrison, A.A. Zheltovodov, and A.I. Maksimov, Evolution of the separated 3-D shock wave/turbulent boundary layer interaction, AIAA Paper, 1997, No. 97-1837. P. 1–?.
A.A. Zheltovodov, A.I. Maksimov, and A.M. Shevchenko, Topology of three-dimensional separation under the conditions of symmetric interaction of crossing shocks and expansion waves with turbulent boundary layer, Thermophysics and Aeromechanics, 1998, Vol. 5, No. 3, P. 293–312.
A.A. Zheltovodov, A.I. Maksimov, A.M. Shevchenko, and D.D. Knight, Topology of three-dimensional separation under the conditions of asymmetrical interaction of crossing shocks and expansion waves with turbulent boundary layer, Thermophysics and Aeromechanics, 1998, Vol. 5, No. 4, P. 483–504.
D.V. Gaitonde, J.S. Shang, T.G. Garrison, A.A. Zheltovodov, and A.I. Maksimov, Three-dimensional turbulent interactions caused by asymmetric crossing-shock configurations, AIAA J., 1999, Vol. 37, No. 12, P. 1603–1608.
A.A. Zheltovodov, A.I. Maksimov, D. Gaitonde, M. Visbal, and J.S. Shang, Experimental and numerical study of symmetric interaction of crossing shocks and expansion waves with turbulent boundary layer, Thermophysics and Aeromechanics, 2000, Vol. 7, No. 2, P. 155–171.
D.V. Gaitonde, M.R. Visbal, J.S. Shang, A.A. Zheltovodov, and A.I. Maksimov, Sidewall interaction in an asymmetric simulated scramjet inlet configuration, Propulsion and Power, 2001, Vol. 17, No. 3, P. 579–584.
F. Thivet, D.D. Knight, A.A. Zheltovodov, and A.I. Maksimov, Insights in turbulence modeling for crossing-shock-wave/boundary-layer interactions, AIAA J., 2001, Vol. 39, No. 6, P. 985–995.
F. Thivet, D.D. Knight, A.A. Zheltovodov, and A.I. Maksimov, Analysis of observed and computed crossing-shock-wave/turbulent boundary-layer interaction, Aerospace Sci. and Technology, 2002, Vol. 6, P. 3–17.
A.A. Zheltovodov, A.I. Maksimov, D.V. Gaitonde, and J.S. Shang, Investigation of the features of asymmetric crossing shocks and expansion waves interaction with a turbulent boundary layer, Thermophysics and Aeromechanics, 2003, Vol. 10, No. 4, P. 523–540.
V.S. Demyanenko and V.P. Fedosov, A supersonic flow near a convex dihedral angle, Izv. SB AS USSR, Tech. Sciences Series, 1975, Vol. 13, No. 3, P. 40–45.
G.I. Maykapar and A.I. Panova, Supersonic flow around the outer corner of the air intake shell, TsAGI Bulletin, 1980, Vol. 11, No. 3, P. 101–105.
A.A. Zheltovodov, A.A. Rafaelyants, and V.M. Filatov, Investigating the flow characteristics and resistance of the boundary layer drain wedges, Aerodynamic interference in the flow around spatial bodies, ITAM SB AS USSR, Novosibirsk, 1980, P. 63–82.
M.D. Brodetsky, A.I. Maksimov, and A.M. Kharitonov, Methodology of experimental studies of aerodynamic interference of small superstructures with a bearing surface, Izv. SB AS USSR, Series of Techn. Sciences, 1978, Vol. 13, No. 3, P. 81–86.
M.D. Brodetsky, A.I. Maksimov, A.A. Rafaelyants, G.A. Cheremukhin, and A.M. Kharitonov, Aerodynamic interference of superstructures with a bearing surface at supersonic speeds, TsAGI Bulletin, 1981, Vol. 12, No. 3, P. 110–115.
A.A. Zheltovodov, Properties of two- and three-dimensional separation flows at supersonic velocities, Fluid Dynamics, 1979, Vol. 14, Iss. 3, P. 357–364.
A.A. Zheltovodov, Regimes and properties of three-dimensional separation flows initiated by skewed compression shocks, J. Appl. Mech. Tech. Phys., 1982, No. 3, P. 413–418.
M.A. Zubin and N.A. Ostapenko, Structure of flow in the separation region resulting from interaction of a normal shock wave with a boundary layer in a corner, Fluid Dynamics, 1979, Vol. 14, Iss. 3, P. 365–371.
A.A. Zheltovodov and A.I. Maksimov, The development of spatial flows in the interaction of conical shock waves with a turbulent boundary layer, Sib. Phys.-Tech. J., 1991, Iss. 2, P. 88–98.
M.D. Brodetskii, A.I. Maksimov, and A.M. Kharitonov, Properties of the interaction of interference and diffraction flows at supersonic velocities, J. Appl. Mech. Tech. Phys., 1986, Vol. 27, No. 1, P. 94–103.
M.D. Salas and J. Daywitt, Structure of the conical flow field about external axial corners, AIAA J., 1979, Vol. 17, No. 1, P. 41–47.
P. Kutler, T.H. Pulliam, and Y.C. Vigneron, Computation of the viscous supersonic flow over external axial corners, AIAA J., 1979, Vol. 17, No. 2, P. 571–578.
A.I. Maksimov, Oblique shock wave diffraction near the external right corner, J. Appl. Mech. Tech. Phys., 1987, Vol. 28, No. 4, P. 608–617.
M.D. Brodetskii, A.I. Maksimov, and A.M. Kharitonov, Development of 3-D separated flows by longitudinal supersonic flow over the corner configurations, Separated Flows and Jets, IUTAM Symp., Novosibirsk, in: V.V. Kozlov and A.V. Dovgal (Eds.), Springer-Verlag, Berlin, 1991, P. 303–310.
A.I. Maksimov, Evolution of a vortex system in the vicinity of an external dihedral corner, Thermophysics and Aeromechanics, 2010, Vol. 17, No. 1, P. 39–50.
A.I. Maksimov and I.N. Kavun, Numerical and experimental investigation of vortex system evolution near an external dihedral corner at supersonic velocity, Inter. Conf. Methods of Aerophysical Research, June 30-July 6, 2014, Novosibirsk, Abstracts, Pt. I, P. 148–149.
A.I. Maksimov and I.N. Kavun, Development of a separation vortex in the vicinity of a dihedral configuration at Mach numbers 2.27 and 4, Jet, Separated and Unsteady Flows, XXIV All-Rus. Seminar, November 11–13, 2015, Novosibirsk, Russia, Research Theses, P. 103–104.
A.I. Maksimov and I.N. Kavun, Evolution of the vortex system near an external dihedral corner at supersonic flow, AIP Conf. Proceedings, 2018, Vol. 2027, 19th Inter. Conf. Methods of Aerophysical Research, 13–19 August, 2018, Novosibirsk, Russia, P. 040012–1-040012-5.
A.I. Maksimov and I.N. Kavun, Evolution of a stall vortex over an external dihedral corner in a supersonic flow, Thermophysics and Aeromechanics, 2020, Vol. 27, No. 5, P. 655–670.
A.I. Maksimov and A.A. Pavlov, Development of the “laser sheet” method for visualizing the flow in supersonic wind tunnels, TsAGI Bulletin, 1986, Vol. 17, No. 5, P. 39–50.
A.I. Maksimov, Some features of using the laser sheet method in supersonic wind tunnels, TsAGI Bulletin, 1993, Vol. 24, No. 4, P. 45–54.
Visualization of physical and mathematical modeling data in gas dynamics, V.N. Yemelyanov and K.N. Volkov (Eds.), Fizmatlit, Moscow, 2018.
J. Hunt, A. Wray, and P. Moin, Eddies, stream, and convergence zones in turbulent flows, Technical Report, Center for Turbulent Research, 1988, No. CTR-S88, P. 193–208.
M.D. Brodetsky, S.M. Brook, and A.M. Makhnin, Investigating errors in determining pressure coefficients at supersonic speeds, Proc. ITAM SB USSR, Research on the non-planar wing aerodynamics, Novosibirsk, 1977, P. 94–113.
Author information
Authors and Affiliations
Corresponding author
Additional information
The work was carried out under the state contract (state registration No. 121030500154-2 and 121030500158-0).
Rights and permissions
About this article
Cite this article
Maksimov, A.I., Kavun, I.N. Formation of a separation vortex in the vicinity of a dihedral corner configuration at M∞ = 2.27 and α ≤ 6°. Thermophys. Aeromech. 30, 787–807 (2023). https://doi.org/10.1134/S0869864323050013
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0869864323050013