Rankine OvalWe saw that the previous example defined a half body open at one end. Can we come up with a closed body by a suitable combination? An inspection of the streamlines suggests that by placing a sink in addition to the source one should be able to define a closed body. In other words a uniform flow past a source-sink combination is what we are after. The stream function for this is given by
When the streamlines for this flow are plotted (Fig.4.26)
one discovers that the one given by
The other feature of interest, Half Width is found by determining
the point of intersection of y-axis with the body, i.e.,
the solution for which is to be obtained by iteration. Rankine ovals include a wide range of bodies which can be obtained by varying the value of the parameter ![]() (c) Aerospace, Mechanical & Mechatronic Engg. 2005 University of Sydney |