Assume that the fluid is incompressible and inviscid and tha

Assume that the fluid is incompressible and inviscid and that flow is steady, irrotational and in an x,y plane. Develop (or just write down) an equations for distribution of coefficient of pressure, Cp, on the surface of a circular cylinder of radius R rotating steadily around its axis at angular speed omega, while exposed to a uniform horizontal free stream of intentsity U. Hint: Such a potential flow can be created by a linear combination of a uniform stream, a point dipole and a point vortex collocated at the origin.

Solution

Assume that the fluid is incompressible and inviscid and that flow is steady, irrotational and in an x,y plane. Develop (or just write down) an equations for distribution of coefficient of pressure, Cp, on the surface of a circular cylinder of radius R rotating steadily around its axis at angular speed omega, while exposed to a uniform horizontal free stream of intentsity U. Hint: Such a potential flow can be created by a linear combination of a uniform stream, a point dipole and a point vortex collocated at the origin.