. Consider the steady inviscid flow of an incompressible fluid past a swept wing shown in Figure 3.21. The wing has an infinite span, and its profile at each crosssection OO′ remains the same, i.e. is...

. Consider the steady inviscid flow of an incompressible fluid past a swept wing shown in Figure 3.21. The wing has an infinite span, and its profile at each crosssection OO′ remains the same, i.e. is independent of the spanwise coordinate z. Write the Euler  s (3.1.1) and the impermeability (3.2.10) and free-stream (3.2.11) conditions in coordinate-decomposition form using Cartesian coordinates x, y, z with z-axis parallel to the wing generatri

Q35;

Consider a straight line L drawn perpendicular to the (x, y)-plane, and suppose that three-dimensional sources are continuously and uniformly distributed along L with density q. The latter is defined as the volume of the fluid produced (per unit time) by a segment of L of unit length. In particular, if we consider a small segment of length dz of the line L near point S, then the volume of fluid produced by this segment per unit time will be q dz. According to (3.2.14), the velocity produced by this segment at point M (see Figure 3.31) will be

Project this velocity on the direction perpendicular to the line L and integrate along the line L. Compare your result with   (3.4.9).