The study of the effect of fluid field above an airfoil under 2D small disturbance equation method

Research Article
Open access

The study of the effect of fluid field above an airfoil under 2D small disturbance equation method

Weijie Li 1*
  • 1 The Ohio State University    
  • *corresponding author li.10721@osu.edu
Published on 25 September 2023 | https://doi.org/10.54254/2755-2721/12/20230331
ACE Vol.12
ISSN (Print): 2755-273X
ISSN (Online): 2755-2721
ISBN (Print): 978-1-83558-013-4
ISBN (Online): 978-1-83558-014-1

Abstract

This review article presents a simulation based on Python for studying fluid flow over a small disturbance (airfoil) in subsonic and supersonic conditions. The simulation revolves around the small disturbance equation method, focusing on comparative analysis under supersonic conditions. Two schemes are applied in different conditions: the central difference scheme for subsonic flows and the upwind scheme for supersonic flows. Successive-over relaxation method is also utilized for converging iterative processes. The study focuses on one influence factor in aerodynamics, the Mach number, and investigates its impact on the shark angle of an airfoil. The simulation results demonstrate that the Mach number is inversely proportional to the shark angle of an airfoil, meaning that higher Mach numbers lead to smaller shark angles of the airfoil. Therefore, the Mach number can be considered a critical parameter in designing aerodynamic applications. This finding is consistent with prior research, indicating that the designed method is reliable.

Keywords:

Small disturbance equation, central difference scheme, upwind scheme, Python.

Li,W. (2023). The study of the effect of fluid field above an airfoil under 2D small disturbance equation method. Applied and Computational Engineering,12,164-169.
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References

[1]. Anderson D, Tannehill J, Pletcher R, Munipalli R and Shankar V 1997 Computational Fluid Mechanics and Heat Transfer. Taylor & Francis

[2]. Huang K 2021 J. Phys.: Conf. Ser. 2012 012087

[3]. Scott G and Richardson P 1997 Trends in Food Science & Technology 8 119

[4]. Shan S, Chen W and Chen Z 2021 J. Phys.: Conf. Ser. 2012 012025

[5]. Rozov V, Stuhlpfarrer M, Osma M and Breitsamter C 2020 Journal of Fluid and Structures 96 103045

[6]. Scholle M, Marner F and Gaskell P 2020 Water 12 1241

[7]. Liu Q 2023 Highlights in Science, Engineering and Technology 37 291

[8]. Jemeson A 1990 Full-Potential, Euler, and Navier-Stokes Scheme. The Amercian Institute of Aeronautics and Astronautics

[9]. Opstal T, Hulshoff S and Verhoosel C 2011 the Open Aerospace Engineering Journal 4 1

[10]. Osher S, Hafez M and Whitlow W 1985 Mathematics of Computation 44 1

Cite this article

Li,W. (2023). The study of the effect of fluid field above an airfoil under 2D small disturbance equation method. Applied and Computational Engineering,12,164-169.

Data availability

The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.

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About volume

Volume title: Proceedings of the 2023 International Conference on Mechatronics and Smart Systems

ISBN：978-1-83558-013-4(Print) / 978-1-83558-014-1(Online)
Editor：Seyed Ghaffar, Alan Wang
Conference website: https://2023.confmss.org/
Conference date: 24 June 2023
Series: Applied and Computational Engineering
Volume number: Vol.12
ISSN：2755-2721(Print) / 2755-273X(Online)

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References

[1]. Anderson D, Tannehill J, Pletcher R, Munipalli R and Shankar V 1997 Computational Fluid Mechanics and Heat Transfer. Taylor & Francis

[2]. Huang K 2021 J. Phys.: Conf. Ser. 2012 012087

[3]. Scott G and Richardson P 1997 Trends in Food Science & Technology 8 119

[4]. Shan S, Chen W and Chen Z 2021 J. Phys.: Conf. Ser. 2012 012025

[5]. Rozov V, Stuhlpfarrer M, Osma M and Breitsamter C 2020 Journal of Fluid and Structures 96 103045

[6]. Scholle M, Marner F and Gaskell P 2020 Water 12 1241

[7]. Liu Q 2023 Highlights in Science, Engineering and Technology 37 291

[8]. Jemeson A 1990 Full-Potential, Euler, and Navier-Stokes Scheme. The Amercian Institute of Aeronautics and Astronautics

[9]. Opstal T, Hulshoff S and Verhoosel C 2011 the Open Aerospace Engineering Journal 4 1

[10]. Osher S, Hafez M and Whitlow W 1985 Mathematics of Computation 44 1

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