文档介绍：Problem Set 8A Name: ____________________
Assigned: Tuesday, October 23
Due: Tuesday, October 30
1. Supplementary Problem P9
2. A two-dimensional hydrofoil is placed in a uniform stream of horizontal velocity U 0
and density ρ. For this problem, assume steady potential flow.
−Γ−Γ
o o
U o U o
c / 2
Γ= −Γ
(a) If the hydrofoil is designed to generate a constant circulation o , calculate the
=
lift on the wing (per unit span) L Low in open water.
(b) If the hydrofoil now operates at a distance c / 2 above a horizontal bottom, calculate
=
L Lb for this near-bottom operation.
(c) For fixed hydrofoil geometry and orientation, the circulation generated is actually not
fixed but given by a kinematic condition, in this case, that the vertical velocity at a
= −α
distance c / 2 directly behind the vortex has to be V U o .
ΓΓ
U o U o