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Second, steady potential flow around a body can produce no force irrespective of theīody’s shape. In such cases real flow bears no resemblance to th e corresponding potential flow. Is especially pronounced when the bodies are bluff such as a circular cylinder, and First, real flows have a tendency to separate from the surface of the body. In two important respects, however, it did notĬorrespond to the flow field of a real fluid, no matter how large the Reynolds number Potential-flow theory predicted the flow field exactly for an inviscid fluid-that Recognized that, for the important practical applications in aerodynamics (e.g., theįlow around an airfoil), great care was required to successfully apply potential-flow
![airfoil center of pressure airfoil center of pressure](https://www.mh-aerotools.de/airfoils/images/veldist2.gif)
Was and is very useful for many practical problems-for example, the flow aroundĪirships, ship hydrodynamics, and water waves. Owing to this state of affairs, many distinguished mathematicians were able toĭevelop a wide variety of analytical methods for predicting such flows. The motion of an inviscid fluid was a welldefined mathematical problem, satisfying a relatively simple linear partial differentialĮquation, the Laplace equation (see Section 5.2), with well-defined boundary conditions. Singularities using relatively powerful computational panel methods.īy the end of the nineteenth century, the theory of ideal, or potential, flow (seeĬhapter 5) was reasonably well developed.
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