Solutions of inviscid rotational flows near the corners of an arbitrary ang
le and within a triangle of arbitrary shapes are presented. The corner-flow
solution has a rotational component as a particular solution. The addition
of irrotatoinal components yields a general solution, which is indetermina
te unless the far-field condition is imposed. When the corner angle is less
than 90 degrees the flow asymptotically becomes rotational. For the corner
angle larger than 90 degrees it tends to become irrotational. The general
solution for the corner now is then applied to rotational flows within a tr
iangle (Method I). The error level depends on the geometry, and a parameter
space is presented by which we can estimate the error level of solutions.
On the other hand, Method II employing three separate coordinate systems is
developed. The error level given by Method II is moderate but less depende
nt on the geometry.