E Streaming Flow past Cylindrical Bodies - Boundary-Layer Separation

STREAMING FLOW PAST CYLINDRICAL BODIES -BOUNDARY-LAYER SEPARATION 

The cause of large drag in the case of a body like a circular cylinder is the asymmetry in the velocity and pressure distributions at the cylinder surface that results from separation. All bodies in laminar streaming flow at large Reynolds number are subjected to viscous stresses that boundary-layer analysis shows must be 

These viscous stresses lead to a contribution to the drag coefficient (that is, the dimensionless drag per unit length for a 2D body)  

The potential-flow solution for streaming motion past a circular cylinder was obtained earlier and given in terms ofthe streamfunctionin(10-17). To calculate the pressure gradient in the boundary layer, we first determine the tangential velocity function, ue, as defined in (10-37)  

Adopting the local Cartesian coordinates appropriate to the boundary-layer equations, we can express the result as 

---

E. Streaming Flow Past Cylindrical Bodies - Boundary-Layer Separation... 

---