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R.W. Meyer, "A Less Complex Wing Theory in Ideal Fluids", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Eighteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 10, Paper 15.1, 2025,

Keywords: ideal fluids, wing theory, vortex core, lift coefficient, drag coefficient, random walks.

Abstract

In this paper the author suggests a less complex wing theory in ideal fluids that connects lift force and drag force of a finite 3-dimensional wing with mass flow into the generated vortex cores. Suggesting an induced drag in ideal fluids for 2-dimensional wing sections, leads to a modified version of the equation Prandtl has derived for the relation between lift force Fy and drag force Fx of a 3-dimensional finite wings. This new equation goes over into Prandtl’s equation, if we have low aspect ratios of the wings. The author derives equations that calculates the vortex core radius of the generated vortexes and are connecting the mass flow into the vortex cores with drag and lift of the wing. Additionally, the author shows, that the power to compensate for the drag of a plane in an ideal fluid is consumed by the rotational power of the generated vortex cores.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 10 PROCEEDINGS OF THE EIGHTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: P. Iványi, J. Kruis and B.H.V. Topping Paper 15.1 A Less Complex Wing Theory in Ideal Fluids R.W. Meyer Department of Mechanical Engineering and Maritime Studies, Western Norway University of Applied Sciences, Haugesund, Norway Full Bibliographic Reference for this paper R.W. Meyer, "A Less Complex Wing Theory in Ideal Fluids", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Eighteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 10, Paper 15.1, 2025, Keywords: ideal fluids, wing theory, vortex core, lift coefficient, drag coefficient, random walks. Abstract In this paper the author suggests a less complex wing theory in ideal fluids that connects lift force and drag force of a finite 3-dimensional wing with mass flow into the generated vortex cores. Suggesting an induced drag in ideal fluids for 2-dimensional wing sections, leads to a modified version of the equation Prandtl has derived for the relation between lift force Fy and drag force Fx of a 3-dimensional finite wings. This new equation goes over into Prandtl’s equation, if we have low aspect ratios of the wings. The author derives equations that calculates the vortex core radius of the generated vortexes and are connecting the mass flow into the vortex cores with drag and lift of the wing. Additionally, the author shows, that the power to compensate for the drag of a plane in an ideal fluid is consumed by the rotational power of the generated vortex cores. download the full-text of this paper (PDF, 10 pages, 680 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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