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Aerodynamics and Design for Ultra-Low Reynolds Number Flight

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Chapter 2<br />

Two-Dimensional Computational<br />

Analysis Methods<br />

2.1 Motivation <strong>for</strong> Two-Dimensional Analysis<br />

In many aerospace applications two-dimensional analysis is considered to be of limited<br />

value due to the existence of a large established knowledge-base <strong>and</strong> ever-increasing<br />

computational abilities that allow three-dimensional analysis of complex configurations<br />

<strong>and</strong> phenomena. These views may be justified when the end goal is the design of a<br />

specific device <strong>for</strong> a particular application, or to exp<strong>and</strong> the level of underst<strong>and</strong>ing<br />

beyond the limits of two-dimensional study, but the present work encompasses<br />

something entirely different. The existing knowledge-base at ultra-low <strong>Reynolds</strong><br />

numbers pertaining to applied aerodynamics, airfoils, <strong>and</strong> flight vehicle design is<br />

minimal. The need <strong>for</strong> a broader underst<strong>and</strong>ing of these areas, combined with limited<br />

time <strong>and</strong> resources, makes two-dimensional analysis a practical starting point. The<br />

analyses are relatively fast, permitting a large <strong>and</strong> varied test matrix. This is essential<br />

when the investigation is broadly exploratory both in geometry <strong>and</strong> flow properties.<br />

Two-dimensional analysis can also provide a more in<strong>for</strong>mative picture of fundamental<br />

behavior, free from three-dimensional effects such as cross-flow <strong>and</strong> induced drag which<br />

can be difficult to discern <strong>and</strong> isolate in both computational <strong>and</strong> experimental results.<br />

7

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