ABSTRACT

This chapter concerns three sets of configurations for potential flows: (i) corner flows, with sharp (Sections 14.8 and 14.9), rounded (Section 36.1), and indented (Section 36.2) edges that include a semiinfinite plate (Section 36.3); (ii) channels (Section 36.5) that include the Pitot tube (Section 36.5), a slit (Section 36.4), and as its complement, a finite plate (Section 44.1); (iii) a single (Sections 36.6 and 36.7) [double (Sections 36.8 and 36.9)] row of monopoles that in the case of vortices forms a wake and may be divided into parallel walls (rectangular wells). Each of these sets of geometries can be considered for: (a) potential flow due to vortices and sources/sinks; (b/c) electro (magneto) static field due to electric charges (currents) with insulating or conducting walls, for example, condensers. Thus a variety of problems arises from a small set using simple transformations (List 36.1).