Uniform shear flow of an incompressible inviscid fluid past a two-dimensional smooth concave body is studied; a stream function\nfor resulting flow is obtained. Results for the same flow past a circular cylinder or a circular arc or a kidney-shaped body are\npresented as special cases of the main result. Also, a stream function for resulting flow around the same body is presented for an\noncoming flow which is the combination of a uniform stream and a uniform shear flow. Possible fields of applications of this study\ninclude water flows past river islands, the shapes of which deviate from circular or elliptical shape and have a concave region, or\npast circular arc-shaped river islands and air flows past concave or circular arc-shaped obstacles near the ground.
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