Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

Comprehensive numerical study of difference between the aerodynamic coefficients in symmetrical classic airfoil with two different assumptions of transitional and fully turbulent flows in both of compressible and incompressible regimes

Author
Mehdi Sanienejad
Abstract
In the following paper, the accuracy of full turbulent K-e and transitional K-w models in external aerodynamic capturing of NACA0012 in both incompressible regime (Re number of 6 million) and subsonic compressible regime (Mach number of 0.3 to 0.9 and Re number of 1 million to 100 million) have been comprehensively investigated until using comparison between both results, the differences between full turbulent and transitional flow (combined fully laminar + transition region + fully turbulent) assumptions in aerodynamic coefficients specified accurately.
 
Among these investigations, some sorts of sensitivity analysis, including changes in free-stream Mach number, free-stream Reynolds number, free-stream angle of attack, grid density and free stream turbulence level have been done. Also the effects of transition inception point and affecting parameters, and the magnitude of the conformity between numerical results and theoretical concepts about transition and related effective parameters on the magnitude of lift, drag, lift-slope, pressure distribution, and pressure/friction lift-and-drag coefficients have been investigated in detail. To confirm the validity and the accuracy of the results, the numerical results have been compared with some published references. 
[1]Saniei Nejad, M., “Fundamentals of Turbulent Flows and Turbulence Modeling”, Danesh Negar Pub. In Persian (2009).
 
[2]Gregory, N., and Wilby, P.G., “NPL 9615  and  NACA  0012 - A  Comparison  of  Aerodynamic  Data”, Aeronautical Research Council, London, (1973).
 
[3]Jameson, A., and Mavriplis, D., “Finite Volume Solution of the Two-dimensional Euler Equations on a Regular Triangular Mesh”, AIAA-85-0435, Reno, Nevada, January 14-17 (1985).
 
[4]McCroskey, W.J., “A Critical Assessment of Wind Tunnel Results for the NACA0012 Airfoil”, NASA Technical Memorandum 100019, USAAVSCOM Technical Report 87-A-5, October (1987).
 
[5]Maksymiuk, C.M., and Pulliam, T.H., “Viscous Transonic Airfoil Workshop Results using ARC2D”, AIAA-87-04 15, AIAA 25th Aerospace Sciences Meeting, Reno, Nevada, January 12-15 (1987).
 
[6]Arias, O., Falcinelli, O., Fico, N., and Elaskar, S.,  “Finite Volume Simulation of a Flow over a NACA 0012 using Jameson, Maccormack, Shu and Tvd Esquemes”, Mecanica Computacional, Vol. XXVI, pp. 3097-3116,  Argentina, Oct. (2007).
 
[7]Barter, G.E., “Shock Capturing with PDE-based Artificial Viscosity for an Adaptive, Higher-order Discontinuous Galerkin Finite Element Method”, Doctor of Philosophy Thesis, Massachusetts Institute of Technology, USA, (2008).
 
[8]Schook, R., “Bypass Transition Experiments in Subsonic Boundary Layers”, Eindhoven University Press Facilities, The Netherlands, (2000).
 
[9]Mayle, R.E., “The Role of Laminar-turbulent Transition in Gas Turbine Engines”, Journal of Turbomachinery, Vol. 113, No. 4, pp. 509-536, Oct, (1991).
 
[10]  Sveningsson, A., “Transition Modelling – A Review”, Department of Thermo and Fluid Dynamics, Chalmers University of Technology, Gothenburg, Sweden, Oct. (2006).
 
[11]  Menter, F.R., “Two-equation Eddy-viscosity Turbulence Models for Engineering Applications”, AIAA J., Vol. 32, No. 8,  pp. 1598-1605, August, (1994).
 
[12]  Wilcox, D.C., “Turbulence Modeling for CFD”, DCW Industries, Inc., La Canada, California, (1998).
 
[13]  Hutchinson, B.R., and Raithby, G.D., “A Multigrid Method Based on the Additive Correction Strategy”, Numerical Heat Transfer, Vol. 9, pp. 511-537, (1986).
 
[14]  Weiss, J.M., Maruszewski, J.P., and Smith, W.A., “Implicit Solution of Preconditioned Navier-Stokes Equations, using Algebraic Multigrid”, AIAA J., Vol. 37, pp. 29-36, (1999).
 
[15]  Rumsey, C.L., Smith, B.R., and Huang, G.P., “Description of a Website Resource for Turbulence Model Verification and Validation”, AIAA Paper 2010-4742 40th  AIAA Fluid Dynamics Conference, Chicago, IL, June 28-July 1 (2010).
Keywords
Transition
Classical symmetric airfoil
Aerodynamic coefficients
Incompressible flow
Compressible flow
[1]Saniei Nejad, M., “Fundamentals of Turbulent Flows and Turbulence Modeling”, Danesh Negar Pub. In Persian (2009).
 
[2]Gregory, N., and Wilby, P.G., “NPL 9615  and  NACA  0012 - A  Comparison  of  Aerodynamic  Data”, Aeronautical Research Council, London, (1973).
 
[3]Jameson, A., and Mavriplis, D., “Finite Volume Solution of the Two-dimensional Euler Equations on a Regular Triangular Mesh”, AIAA-85-0435, Reno, Nevada, January 14-17 (1985).
 
[4]McCroskey, W.J., “A Critical Assessment of Wind Tunnel Results for the NACA0012 Airfoil”, NASA Technical Memorandum 100019, USAAVSCOM Technical Report 87-A-5, October (1987).
 
[5]Maksymiuk, C.M., and Pulliam, T.H., “Viscous Transonic Airfoil Workshop Results using ARC2D”, AIAA-87-04 15, AIAA 25th Aerospace Sciences Meeting, Reno, Nevada, January 12-15 (1987).
 
[6]Arias, O., Falcinelli, O., Fico, N., and Elaskar, S.,  “Finite Volume Simulation of a Flow over a NACA 0012 using Jameson, Maccormack, Shu and Tvd Esquemes”, Mecanica Computacional, Vol. XXVI, pp. 3097-3116,  Argentina, Oct. (2007).
 
[7]Barter, G.E., “Shock Capturing with PDE-based Artificial Viscosity for an Adaptive, Higher-order Discontinuous Galerkin Finite Element Method”, Doctor of Philosophy Thesis, MassachusettsInstitute of Technology, USA, (2008).
 
[8]Schook, R., “Bypass Transition Experiments in Subsonic Boundary Layers”, Eindhoven University Press Facilities, The Netherlands, (2000).
 
[9]Mayle, R.E., “The Role of Laminar-turbulent Transition in Gas Turbine Engines”, Journal of Turbomachinery, Vol. 113, No. 4, pp. 509-536, Oct, (1991).
 
[10]  Sveningsson, A., “Transition Modelling – A Review”, Department of Thermo and Fluid Dynamics, ChalmersUniversity of Technology, Gothenburg, Sweden, Oct. (2006).
 
[11]  Menter, F.R., “Two-equation Eddy-viscosity Turbulence Models for Engineering Applications”, AIAA J., Vol. 32, No. 8,  pp. 1598-1605, August, (1994).
 
[12]  Wilcox, D.C., “Turbulence Modeling for CFD”, DCW Industries, Inc., La Canada, California, (1998).
 
[13]  Hutchinson, B.R., and Raithby, G.D., “A Multigrid Method Based on the Additive Correction Strategy”, Numerical Heat Transfer, Vol. 9, pp. 511-537, (1986).
 
[14]  Weiss, J.M., Maruszewski, J.P., and Smith, W.A., “Implicit Solution of Preconditioned Navier-Stokes Equations, using Algebraic Multigrid”, AIAA J., Vol. 37, pp. 29-36, (1999).
 
[15]  Rumsey, C.L., Smith, B.R., and Huang, G.P., “Description of a Website Resource for Turbulence Model Verification and Validation”, AIAA Paper 2010-4742 40th  AIAA Fluid Dynamics Conference, Chicago, IL, June 28-July 1 (2010).
Iranian Journal of Mechanical Engineering Transactions of ISME
Volume 17, Issue 2 - Serial Number 39
Fluid Mechanics and Heat Transfer
Summer 2015
Pages 23-67

  • Receive Date 23 August 2015