Inviscid Uniform Shear Flow past a Smooth Concave Body

Abstract EN

Uniform shear flow of an incompressible inviscid fluid past a two-dimensional smooth concave body is studied; a stream function for resulting flow is obtained.

Results for the same flow past a circular cylinder or a circular arc or a kidney-shaped body are presented as special cases of the main result.

Also, a stream function for resulting flow around the same body is presented for an oncoming flow which is the combination of a uniform stream and a uniform shear flow.

Possible fields of applications of this study include water flows past river islands, the shapes of which deviate from circular or elliptical shape and have a concave region, or past circular arc-shaped river islands and air flows past concave or circular arc-shaped obstacles near the ground.