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Transonic Shock Wave Patterns Over an Airfoil in an Accelerated Flow

Gnanashanmugam Kumaravel(1*), Peter Jeyajothiraj(2), Ethirajan Rathakrishnan(3)

(1) Vikram Sarabhai Space Centre, Thiruvananthapuram, India
(2) Vikram Sarabhai Space Centre, Thiruvananthapuram, India
(3) Department of Aerospace Engineering, Indian Institute of Technology, Kanpur, India
(*) Corresponding author


DOI: https://doi.org/10.15866/irease.v8i2.6036

Abstract


It is well known that in a high subsonic flow over an airfoil, there exists a local supersonic pocket and similarly in a supersonic flow over the same, there exists a local subsonic pocket. But, how the transonic shock wave pattern over the airfoil changes when the freestream flow accelerates uniformly from high subsonic to supersonic - i.e. how a subsonic flow with a supersonic pocket changes into a supersonic flow with a subsonic pocket- is not reported so far. This study is an attempt to explore the above phenomena. In order to study the accelerated flow, Navier-Stokes equations are extended to acceleration frame of reference. Using these equations, numerical simulation of transonic flow over NACA0012 airfoil is carried out with freestream acceleration. The influence of acceleration on the flow field is studied with different levels of acceleration and retardation. This study revealed that both acceleration and retardation do influence the movement of transonic shock movement, and it is more pronounced in high levels of retardation. But, the shock wave pattern during the change from high subsonic to supersonic remains the same for various levels of acceleration. The continuous change of shock wave pattern over the airfoil is visualized in a single simulation and the underlying physical phenomena are investigated.
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Keywords


Transonic Shock; Freestream Acceleration; NACA0012 Aerofoil

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References


E. Rathakrishnan, Theoretical Aerodynamics First Edition, John Wiley, NJ, 2013.

J. D. Anderson, Fundamentals of Aerodynamics McGraw-Hill Book Company, New York, 1984.
http://dx.doi.org/10.1002/sce.3730330159

D. G. Mabey Chap. 1, Physical phenomena associated with unsteady transonic flows, Unsteady transonic aerodynamics Vol. 120, Progress in Astronautics and Aeronautics, AIAA, Washington, D.C, 1989.
http://dx.doi.org/10.2514/5.9781600865947.0001.0055

M. S. Cahn and J. R. Garcia ``Transonic airfoil design'', Journal of Aircraft, Vol. 8, No.2 February, 1971.
http://dx.doi.org/10.2514/3.44233

A. Sugavanam and J. C. Wu ``Numerical study of separated turbulent flow over airfoils'', AIAA Journal, Vol. 20, No. 4 April, 1982 pp 464—470.
http://dx.doi.org/10.2514/3.51096

R. Magnus and H. Yoshihara, ``Unsteady transonic flows over an airfoil'', AIAA Journal, Vol. 13, No. 12 December, 1975 pp 1622—1628.
http://dx.doi.org/10.2514/3.60585

H. Olivier, T. Reichel and M. Zechner, ``Flow visualization and pressure measurements on an airfoil in high Reynolds number transonic flow'', 40th AIAA Aerospace Sciences Meeting and Exhibit 14--17 January, 2002 Reno, NV.
http://dx.doi.org/10.2514/6.2002-301

R. M. Fernie and H. Babinsky, ``Unsteady shock behaviour on a NACA0012 aerofoil'', 41st Aerospace Sciences Meeting and Exhibit 6--9, January, 2003, Reno, Nevada.
http://dx.doi.org/10.2514/6.2003-226

B. Rasuo ``An experimental and theoretical study of transonic flow about the NACA0012 airfoil'', Paper No: AIAA 2006-3877 24th Applied Aerodynamics Conference 5--8 June 2006, San Francisco, California.
http://dx.doi.org/10.2514/6.2006-3877

V. Hermes, I. Klioutchnikov, A. Alshabu and H. Olivier ``Investigation of unsteady transonic airfoil flow'', Paper No: AIAA 2008-627 46 th AIAA Aerospace Sciences Meeting and Exhibit 7--10 January 2008, Reno, Nevada.
http://dx.doi.org/10.2514/6.2008-627

E. Stanewsky and B. H. Little ``Separation and reattachment in transonic airfoil flow'', Journal of Aircraft, Vol. 8, No. 12 December, 1971 pp 952—958.
http://dx.doi.org/10.2514/3.59192

Shen C. Lee ``Numerical simulation of steady transonic flow about airfoils'', AIAA Journal Paper No: AIAA 81-1002, doi:10.2514/6.1981-1002.
http://dx.doi.org/10.2514/6.1981-1002

Werner Haase and Harald Echtle, ``Computational results for viscous transonic flows around airfoils'', AIAA 25 th Aerospace Sciences Meeting, January 12--15, 1987, Reno, Nevada.
http://dx.doi.org/10.2514/6.1987-422

Alexander Meijering and Wolfgang Schroder, ``Experimental analysis of separated transitional transonic airfoil flow'', 31 st AIAA Fluid Dynamics Conference & Exhibit, 11--14 June 2001, Anaheim, CA.
http://dx.doi.org/10.2514/6.2001-2987

P. J. K. Bruce, I. A. Coman, G. T. H. Holt and J. K. Harvey, ``Experimental investigations into transonic shock wave unsteadiness'' 49 th AIAA Aerospace Sciences Meeting including the new Horizons Forum and Aerospace Exposition, 4--7 January 2011, Orlando, Florida.
http://dx.doi.org/10.2514/6.2011-1050

Juntao Xiong , Feng Liu and Shijun Luo, ``Computation of NACA0012 airfoil transonic buffet phenomenon with unsteady Navier-Stokes equations'', 50 th AIAA Aerospace Sciences Meeting including the new Horizons Forum and Aerospace Exposition, 09--12 January 2012, Nashville, Tennessee.
http://dx.doi.org/10.2514/6.2012-699

Bruno Goffert, Marcos Aurelio Ortega and Joao Batista Pessoa Falcao Filho, ``A numerical and experimental study of an airfoil in a transonic wind tunnel'', 51 st AIAA Aerospace Sciences Meeting including the new Horizons Forum and Aerospace Exposition, 07--10 January 2013, Grapevine, Texas.
http://dx.doi.org/10.2514/6.2013-645

B. H. K. Lee, ``Self-sustained shock oscillations on airfoils at transonic speeds'', Progress in Aerospace Sciences, Vol. 37 2001, pp 147—196.
http://dx.doi.org/10.1016/s0376-0421(01)00003-3

Charles D. Harris, NASA Supercritical airfoils, NASA TP 2969, March, 1990.

Li- Wei Chen, Chang-Yue Xu and Xi-Yun Lu, ``Numerical investigation of the compressible flow past an aerofoil'', Journal of Fluid Mechanics, Vol. 643 2010,
http://dx.doi.org/10.1017/s0022112009991960

R. Stevan Sawyer and John P. Sullivan, ``Lift development of delta wings undergoing constant acceleration from rest'', Journal of Aircraft, Vol. 28, No. 11 November, 1991.
http://dx.doi.org/10.2514/3.46090

R. Stevan Sawyer and John P. Sullivan, ``Unsteady lift development on a constantly accelerated rectangular wing'', AIAA Journal Paper No: 90-1633, 1990.
http://dx.doi.org/10.2514/6.1990-1633

G. T. Minkkinen, T. A. Wilson and G. S. Beavers, ``An experiment on the lift of an accelerated airfoil'', AIAA Journal Paper No: 7139-333, 1976.
http://dx.doi.org/10.2514/3.7139

P. Freymath, F. Finaush and W. Bart, ``Visualization of wing tip vortices in accelerating and steady flow'', Journal of Aircraft, Vol. 23, No. 9, 1986.

H Roohani & B W Skews, ``Unsteady aerodynamics effects experienced by airfoil during acceleration and retardation'', Proc. IMechE, vol. 222 Part G, J. Aerospace Engineering, 2008.
http://dx.doi.org/10.1243/09544100jaero280

I M A Gledhill, K Forsberg, P Eliason, J Baloyi and J Nordstrom, ``Investigation of acceleration effects on missile aerodynamics using computational fluid dynamics'', Aerospace science and technology, Vol. 13, Issue 4 - 5 June - July, 2009 pp 197—203.
http://dx.doi.org/10.1016/j.ast.2009.04.008

G. Kumaravel, P. Jeyajothiraj and E. Rathakrishnan, Formation and dissipation of Karman vortex street in an accelerated flow over circular cylinder, Accepted for publication in International Review of Aerospace Engineering (IREASE).

G. Kumaravel, ``Investigation of acceleration effects on rocket aerodynamics'', Ph. D Thesis, Department of Aerospace Engineering, Indian Institute of Technology, Kanpur, 2012.

Lipemann, H. W. & Roshko, A., Elements of Gas Dynamics, Dover Publications, Inc, First South Asian Edition, New Delhi 2007.

John. D. Anderson, JR., Computational fluid dynamics, the basics with applications, McGraw-Hill International Editions, Singapore, 1995.

Frank. M. White, Fluid Mechanics, Seventh Edition, WCB McGraw-Hill, 2013.

J. R. Forshaw & A. G. Smith, Dynamics and Relativity, John Wiley & Sons Ltd, UK, 2009.

Gerardo Munoz & Preston Jones, ``The equivalence principle, uniformly accelerated reference frames, and the uniform gravitational field'', American Journal of physics, Volume 78, No. 4, April, 2010.
http://dx.doi.org/10.1119/1.3272719

Sukumar Chakravarthy, et. al CFD++ Users Manual, Version 8.0 Metacomp Technologies, Los Angles, USA, 2009.

Charles Hirsch, Numerical computation of internal and external flows, Second Edition, John Wiley & Sons, Ltd, USA, 2007.

AGARD Experimental data base for computer program assessment, AGARD-AR-138, 1979.


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