Abstract
Direct simulations are carried out to investigate the influence of unsteady heat flux transfer on transonic shock-boundary layer interaction; for flow past SHM-1 airfoil at a free-stream Mach number \(M_{\infty }\) = 0.72 and angle of attack \(\alpha = 0.38^{\circ }\). Flux is added in a periodic manner through a region \((8{-}18\% \; of \;the \;chord)\) located on the suction side of the airfoil, with multiple values of exciter time period \((T_{\text {e}}=2,4)\) considered for our simulation. We show that addition of unsteady heat flux delayed shock formation, along with significant modifications in it’s structure. The time-averaged \(C_{\text {p}}\) distributions revealed a shift in the shock towards the aft, by approximately 5% of the chord; along with an increased lift near the trailing edge, suggesting a nose-down stabilizing influence. Primarily, it is noted that the additional heat flux resulted in an overall increase of the aerodynamic efficiency (lift to drag ratio) by approximately \(10\%\).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Toure PSR, Schuelein E (2018) Numerical and experimental study of nominal 2-D shock-wave/turbulent boundary layer interactions. In: AIAA 2018-3395, fluid dynamics conference, 3395
Gross A, Lee S (2018) Numerical analysis of laminar and turbulent shock-wave boundary layer interactions. In: AIAA 2018-4033, fluid dynamics conference , 4033
Quadros R, Bernardini M (2018) Numerical investigation of transitional shock-wave/boundary-layer interaction in supersonic regime. AIAA J 56:2712–2724
Hermes V, Klioutchnikov I, Olivier H (2013) Numerical investigation of unsteady wave phenomena for transonic airfoil flow. Aerosp Sci Technol 25(1):224–233
Bernardini M, Asproulias I, Larsson J, Pirozzoli S, Grasso F (2016) Heat transfer and wall temperature effects in shock wave turbulent boundary layer interactions. Phys Rev Fluids 1(8):084403
Raghunathan S, Mitchell D (1995) Computed effects of heat transfer on the transonic flow over an aerofoil. AIAA J 33(11):2120–2127
Raghunathan S, Early JM, Tulita C, Benard E (2008) Periodic transonic flow and control. Aeronaut J 112(1127):1–16
Fujino M, Yoshizak Y, Kawamura Y (2003) Natural-laminar-flow airfoil development for a lightweight business jet. J Aircr 40(4):609–615
Chakravarthy S, Harten A, Osher S (1986) Essentially non-oscillatory shock-capturing schemes of arbitrarily-high accuracy. In: AIAA 1986-339, 24th aerospace sciences meeting, 339
Ha Y, Kim CH, Lee YJ, Yoon J (2013) An improved weighted essentially non-oscillatory scheme with a new smoothness indicator. J Comput Phys 232(1):68–86
Allaneau Y, Jameson A (2009) Direct numerical simulations of a two-dimensional viscous flow in a shocktube using a kinetic energy preserving scheme. In: 19th AIAA computational fluid dynamics, 3797
Chiu EKY, Wang Q, Jameson A (2011) A conservative meshless scheme: general order formulation and application to Euler equations. In: 49th AIAA aerospace sciences meeting, 651
Ohwada T, Shibata Y, Kato T, Nakamura T (2018) A simple, robust and efficient high-order accurate shock-capturing scheme for compressible flows: towards minimalism. J Comput Phys 362:131–162
Borges R, Carmona M, Costa B, Don WS (2008) An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. J Comput Phys 227(6):3191–3211
Sengupta TK, Ganeriwal G, De S (2003) Analysis of central and upwind compact schemes. J Comput Phys 192(2):677–694
Sengupta TK (2013) High accuracy computing methods: fluid flows and wave phenomena. Cambridge University Press
Sengupta TK (2004) Fundamentals of computational fluid dynamics. Universities Press, Hyderabad, India
Sengupta TK, Bhole A, Sreejith NA (2013) Direct numerical simulation of 2D transonic flows around airfoils. Comput Fluids 88:19–37
Garbaruk A, Shur M, Strelets M (2003) Numerical study of wind-tunnel walls effects on transonic airfoil flow. AIAA J 41(6):1046–1054
Binnion TW (1979) Limitations of available data. AGARD-AR 138
Dipankar A, Sengupta TK (2006) Symmetrized compact scheme for receptivity study of 2D transitional channel flow. J Comput Phys 215(1):245–273
Sengupta TK, Ganerwal G, Dipankar A (2004) High accuracy compact schemes and Gibbs’ phenomenon. J Sci Comput 21(3):253–268
Sengupta TK, Dipankar A, Sagaut P (2007) Error dynamics: beyond von Neumann analysis. J Comput Phys 226(2):1211–1218
Sengupta TK, Dipankar A, Rao AK (2007) A new compact scheme for parallel computing using domain decomposition. J Comput Phys 220(2):654–677
Dolean V, Lanteri S, Nataf F (2002) Optimized interface conditions for domain decomposition methods in fluid dynamics. Int J Numer Methods Fluids 40(12):1539–1550
Rajpoot MK, Sengupta TK, Dutt PK (2010) Optimal time advancing dispersion relation preserving schemes. J Comput Phys 229(10):3623–3651
Sengupta TK, Bhumkar YG (2010) New explicit two-dimensional higher order filters. Comput Fluids 39(10):1848–1863
Van Der Vorst HA (1992) Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. SIAM J Sci Stat Comput 13(2):631–644
Bagade PM, Bhumkar YG, Sengupta TK (2014) An improved orthogonal grid generation method for solving flows past highly cambered aerofoils with and without roughness elements. Comput Fluids 103:275–289
Hoffmann KA, Chiang ST (1993) Computational fluid dynamics for engineers, vol 2. Engineering Education System Wichita, KS
Pulliam TH (1986) Solution methods in computational fluid dynamics. In: Notes for the von KĂ¡rmĂ¡n institute for fluid dynamics lecture series
Samtaney R, Morris RD, Cheeseman P, Sunelyansky V, Maluf D, Wolf D (2000) Visualization, extraction and quantification of discontinuities in compressible flows. In: International conference on computer vision and pattern recognition (2000)
Lee BHK, Murty H, Jiang H (1994) Role of Kutta waves on oscillatory shock motion on an airfoil. AIAA J 32(4):789–796
Tijdeman H (1977) Investigations of the transonic flow around oscillating airfoils. Nationaal Lucht-en Ruimtevaartlaboratorium
Liepmann HW, Roshko A (1957) Elements of gasdynamics. Courier Corporation
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Bhola, S., Sengupta, T.K. (2021). Non-adiabatic Wall Effects on Transonic Shock/Boundary Layer Interaction. In: Kumar, S.K., Narayanaswamy, I., Ramesh, V. (eds) Design and Development of Aerospace Vehicles and Propulsion Systems . Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-9601-8_20
Download citation
DOI: https://doi.org/10.1007/978-981-15-9601-8_20
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-9600-1
Online ISBN: 978-981-15-9601-8
eBook Packages: EngineeringEngineering (R0)