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Examples of Two-Dimensional Flow Modeling

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Mathematical Modeling of Unsteady Inviscid Flows

Part of the book series: Interdisciplinary Applied Mathematics ((IAM,volume 50))

Abstract

In Chap. 8 we devoted our attention to the mathematics of flow about a two-dimensional flat plate of infinitesimal thickness. Then, we utilized these tools to develop some of the well-known results from unsteady aerodynamics. These results were based on a quite restrictive assumption: that the flow was generated by a small-amplitude disturbance to the flow past the plate traveling at small angle of attack. Under this assumption, we were able to obtain analytical expressions for the flow field and the associated force and moment.

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Notes

  1. 1.

    There are, however, conformal transformations that generate airfoil shapes, e.g., the Joukowski transformation, and its generalization, the Karman–Trefftz transformation. These are described in Sect. A.2.4 in the Appendix.

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Authors and Affiliations

  1. Mechanical and Aerospace Engineering, University of California, Los Angeles, Los Angeles, CA, USA

    Jeff D. Eldredge

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  1. Jeff D. Eldredge
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Eldredge, J.D. (2019). Examples of Two-Dimensional Flow Modeling. In: Mathematical Modeling of Unsteady Inviscid Flows. Interdisciplinary Applied Mathematics, vol 50. Springer, Cham. https://doi.org/10.1007/978-3-030-18319-6_9

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