Angular velocity on the surface of the cylinder Calculator

In aerodynamics, the flow around a cylinder can be described using potential flow theory. The flow has two components: the uniform flow component (V∞​) and the vortex flow component (Vθ​) due to circulation  (represented by $\Gamma )\; around\; the\; cylinder.$

• Vr​ is the radial component of velocity
• Vθ​ is the tangential component of velocity
• V∞​ is the uniform flow velocity far away from the cylinder (at infinity)
• $\theta$ is the angle measured from a reference direction (e.g., the x-axis)
• $\Gamma$ is the circulation around the cylinder
• $R$ is the radius of the cylinder. 

The first term −2V∞​sinθ represents the tangential velocity induced by the uniform flow, causing the flow to accelerate or decelerate around the cylinder. The second term −2πRΓ​ represents the tangential velocity due to the circulation (vortex) around the cylinder, which also contributes to the flow pattern.