Numerical Study of Heat Transfer Around the Small Scale Airfoil Using Various Turbulence Models

REFERENCES

• T. J. Mueller and J. D. DeLaurier , An Overview of Micro Air Vehicle Aerodynamics , in T. J. Mueller , ed. Fixed and Flapping Aerodynamics for Micro Air Vehicle Applications, Progress in Aeronautics and Astronautics , vol. 195 , AIAA , Reston , VA , 2001 .
   Google Scholar
• C. P. Ellington and J. R. Usherwood , Lift and Drag Characteristics of Rotary and flapping Wings , in T. J. Mueller , Ed. Progress in Aeronautics and Astronautics , vol. 195 , chap. 12 , pp. 231 – 248 , AIAA , 2001 .
   Google Scholar
• T. J. Mueller and T. F. Burns , Experimental Studies of the Eppler-61 Airfoil at Low Reynolds Numbers , AIAA paper 82-0345 , 1982 .
   Web of Science ®Google Scholar
• T. J. Mueller and S. M. Batill , Experimental Studies of Separation on a Two-Dimensional Airfoils at Low Reynolds Numbers , AIAA , vol. 20 , no. 4 , pp. 457 – 463 , 1982 .
   Web of Science ®Google Scholar
• M. M. O'Meara and T. J. Mueller , Laminar Separation Bubble Characteristics on an Airfoil at Low Reynolds Numbers , AIAA , vol. 25 , no. 8 , pp. 1033 – 1041 , 1987 .
   Web of Science ®Google Scholar
• G. E. Bartlett and R. J. Vidal , Experimental Investigation of Influence of Edge Shape on the Aerodynamic Characteristics of Low-Aspect-Ratio Wings at Low Speeds , J. Aeronautical Sci. , vol. 22 , no. 8 , pp. 517 – 533 , 1995 .
   Google Scholar
• G. E. Torres and T. J. Mueller , Micro Aerial Vehicle Development: Design, Components and Flight–Testing , AUVSI , July 11–13 , Orlando , Florida , USA , 2000 .
   Google Scholar
• T. J. Mueller and J. D. DeLaurier , Aerodynamics of Small Vehicles , Ann. Rev. Fluid Mech. , vol. 35 , pp. 89 – 111 , 2003 .
   Web of Science ®Google Scholar
• T. J. Mueller , J. C. Kellogg , P. G. Ifju , and S. V. Shkarayev , Introduction to the Design of Fixed-Wing Micro Aerial Vehicles: Including Three Case Studies , AIAA , Reston, VA, 2007 .
   Google Scholar
• G. E. Torres and T. J. Mueller , Low Aspect Ratio Wing Aerodynamics at Low Reynolds Numbers , AIAA , vol. 42 , no. 5 , pp. 865 – 873 , 2004 .
   Web of Science ®Google Scholar
• A. M. DeLuca and M. F. Reeder , Experimental Investigation into the Aerodynamic Properties of a Flexible and Rigid Wing Micro Air Vehicle , 24th AIAA Aerodynamic Measurement Technology and Ground Testing Conference , Portland, Oregon, USA, June 28–July 1 2004 .
   Google Scholar
• S. Sathaye , J. Yuan , and D. J. Olinger , Lift Distributions on Low Aspect Ratio Wings at Low Reynolds Number for Micro Air Vehicle Applications , 22nd Applied Aerodynamics Conference and Exhibit , August 16–19 , Providence , Rhode Island , USA , 2004 .
   Google Scholar
• E. J. Schroeder and J. D. Baeder , Using Computational Fluid Dynamics for Micro Air Vehicle Airfoil Validation and Prediction , 23rd AIAA Applied Aerodynamics Conference June 6–9 , Toronto , Ontario , Canada , 2005 .
   Google Scholar
• W. Null and S. Shkarayev , Effect of Camber on the Aerodynamics of Adaptive Wing Micro Air Vehicles , J. Aircraft , vol. 42 , no. 6 , pp. 1537 – 1542 , 2005 .
   Web of Science ®Google Scholar
• P. Cosyn and J. Vierendeels , Numerical Investigation of Low Aspect Ratio Wings at Low Reynolds Numbers , J. Aircraft , vol. 43 , no. 3 , pp. 713 – 722 , 2006 .
   Web of Science ®Google Scholar
• Y. Elimelech , R. Arieli , and G. Iosilevskii , Flow Over NACA-009 and Eppler-61 Airfoils at Reynolds Numbers 5000 to 60000 , AIAA , vol. 45 , no. 10 , pp. 2414 – 2421 , 2007 .
   Web of Science ®Google Scholar
• J. M. Moschetta and C. Thipyopas , Aerodynamic Performance of a Biplane Micro Air Vehicle , J. Aircraft , vol. 44 , no. 1 , pp. 291 – 299 , 2007 .
   Web of Science ®Google Scholar
• C. Thipyopas and J. M. Moschetta , From Development of Micro Air Vehicle Testing Research to the Prototype of TYTO: Low Speed Biplane MAV , 26th Applied Aerodynamics Conference , August 18–21 , Honolulu , Hawaii , USA , 2008 .
   Google Scholar
• R. Albertani , B. Stanford , R. DeLoach , J. P. Hubner , and P. Ifju , Wind-Tunnel Testing and Modelling of a Micro Air Vehicle with Flexible Wings , J. Aircraft , vol. 45 , no. 3 , pp. 1025 – 1032 , 2008 .
   Web of Science ®Google Scholar
• K. Yonemoto , K. Takato , H. Ochi , and S. Fujie , Kutta Condition Violation in Two-Dimensional NACA-0012 Airfoil at Low Reynolds Numbers, 26th AIAA Applied Aerodynamics Conference, August 18–21, Honolulu, Hawaii, USA, 2008.
   Google Scholar
• J. Kim , Z. Rusak , and N. Koratkar , Small-Scale Airfoil Aerodynamic Efficiency Improvement by Surface Temperature and Heat Transfer , AIAA , vol. 41 , no. 11 , pp. 2015 – 2113 , 2003 .
   Web of Science ®Google Scholar
• W. P. Jones and B. E. Launder , The Prediction of Laminarization with a Two-Equation Model of Turbulence , Int. J. Heat and Mass Transfer , vol. 15 , no. 2 , pp. 301 – 314 , 1972 .
   Web of Science ®Google Scholar
• W. P. Klinzing and E. M. Sparrow , Evaluation of Turbulence Models for External Flows , Numer. Heat Transfer A , vol. 55 , no. 3 , pp. 205 – 228 , 2009 .
   Web of Science ®Google Scholar
• T. Ayyappan and S. Vengadesan , Three-Dimensional Simulation of Flow Past a Circular Cylinder by Nonlinear Turbulence Model , Numer. Heat Transfer A , vol. 54 , no. 2 , pp. 221 – 234 , 2008 .
   Web of Science ®Google Scholar
• L. A. El-Gabry and D. A. Kaminski , Numerical Investigation of Jet Impingement with Cross Flow-Comparison of Yang-Shih and Standard k-ε Turbulence , Numer. Heat Transfer A , vol. 47 , no. 5 , pp. 441 – 469 , 2005 .
   Web of Science ®Google Scholar
• P. Majumdar and P. Deb , Computational Analysis of Turbulent Fluid Flow and Heat Transfer Over an Array of Heated Modules Using Turbulence Models , Numer. Heat Transfer A , vol. 43 , no. 7 , pp. 669 – 692 , 2003 .
   Web of Science ®Google Scholar
• C. P. Brescianini and M. A. Delichatsios , New Evaluation of the k-ε Turbulence Model for Free Buoyant Plumes , Numer. Heat Transfer A , vol. 43 , no. 7 , pp. 731 – 751 , 2003 .
   Web of Science ®Google Scholar
• X. Yang and H. Ma , Linear and Nonlinear Eddy-viscosity Turbulence Models for a Confined Swirling Coaxial Jet , Numer. Heat Transfer B , vol. 43 , no. 3 , pp. 289 – 305 , 2003 .
   Web of Science ®Google Scholar
• X. He , I. Senocak , W. Shyy , S. N. Gangadharan , and S. Thakur , Evaluation of Laminar- Turbulent Transition and Equilibrium Near Wall Turbulence Models , Numer. Heat Transfer A , vol. 37 , no. 2 , pp. 101 – 112 , 2000 .
   Web of Science ®Google Scholar
• N. Djilali , I. Gartshore , and M. Salcudean , Calculation of Convective Heat Transfer in Recirculating Turbulent Flow Using Various Near-Wall Turbulence Models , Numer. Heat Transfer A , vol. 16 , no. 2 , pp. 189 – 212 , 1989 .
   Web of Science ®Google Scholar
• B. S. Baldwin and H. Lomax , Thin Layer Approximation and Algebraic Model for Separated Flows , AIAA Paper 78-257 , 1978 .
   Google Scholar
• V. K. Garg and A. A. Ameri , Comparison of Two-Equation Turbulence Models for Prediction of Heat Transfer on Film-Cooled Turbine Blades , Numer. Heat Transfer A , vol. 32 , no. 4 , pp. 347 – 371 , 1997 .
   Web of Science ®Google Scholar
• S. Sarkar and T. K. Bose , Comparison of Different Turbulence Models for Prediction of Slot-Film Cooling: Flow and Temperature Field , Numer. Heat Transfer B , vol. 28 , no. 2 , pp. 217 – 238 , 1995 .
   Web of Science ®Google Scholar
• P. R. Spalart and S. A. Allmaras , A One-Equation Turbulence Model for Aerodynamics Flows , AIAA Paper 0439 , 1993 .
   Web of Science ®Google Scholar
• D. C. Wilcox , Turbulence Modelling for CFD, , 2nd ed. , DCW Industries , La Canãda , CA , USA , 1998 .
   Google Scholar
• R. E. Spall , A. Richards , and D. M. McEligot , An Assessment of k-ω and v2-f Turbulence Models for Strongly Heated Internal Gas Flows , Numer. Heat Transfer A , vol. 46 , no. 9 , pp. 831 – 849 , 2004 .
   Web of Science ®Google Scholar
• A. A. Amer , B. A. Jubran , and M. A. Hamdan , Comparison of Different Two-Equation Turbulence Models for Prediction of Film Cooling from Two Rows of Holes , Numer. Heat Transfer A , vol. 21 , no. 2 , pp. 143 – 162 , 1992 .
   Web of Science ®Google Scholar
• F. R. Menter and L. C. Rumesy , Assessment of Two-Equation Turbulence Models for Transonic Flows , AIAA Paper 94-2343 , 1994 .
   Google Scholar
• H. M. Hofmann , R. Kaiser , M. Kind , and H. Martin , Calculation of Steady and Pulsating Impinging jets—An Assessment of 13 Widely Used Turbulence Models, Numer. Heat Transfer B , vol. 51, no, 6, pp. 565–583, 2007.
   Web of Science ®Google Scholar
• CFD-FASTRAN User Manuel, CFD Research Corporation, ver. 2003.
   Google Scholar
• CFD-GEOM User Manuel, CFD Research Corporation, ver. 2003.
   Google Scholar
• P. L. Roe , Approximate Riemann Solvers, Parameter Vectors and Difference schemes , J. Computational Phys. , vol. 43 , pp. 357 – 372 , 1981 .
   Google Scholar
• B. Van Leer , Flux-Vector Splitting for the Euler Equations , Lecture Notes in Physics , vol. 170 , pp. 507 – 512 , 1982 .
   Google Scholar
• B. Stanford , M. Sytsma , R. Albertani , D. Viieru , W. Shyy , and P. Ifju , Static Aeroelastic Model Validation of Membrane Micro Air Vehicle Wings , AIAA J. , vol. 45 , pp. 2828 – 2837 , 2007 .
   Google Scholar