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530.328  Fluid Mechanics II
–
Spring 2009
Homework #5 – Potential Flow  Due date:
Thursday April 9
1. A flow field is formed by combining a clockwise vortex, with strength
,
located at the origin, and a uniform flow in the negative x direction (right to left), with
magnitude
. Obtain the stream function, velocity potential, and velocity field for this
flow field. Find the stagnation point(s) for the flow and indicate their location in both polar and
Cartesian coordinates.
2. For the flow with velocity U past a circular cylinder with radius
, show that
along the
lines (r,
θ
)=(r,
). Also find the distance beyond which the influence of the cylinder is less than
2 percent of U.
3. Consider flow around a circular cylinder (radius
, located at origin) with circulation. The
freestream velocity is
from right to left and the strength of counterclockwise vortex is K.
Obtain the pressure distribution and the force applied on the bottom half cylinder.
4. A source and a sink with strengths of equal magnitude,
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This note was uploaded on 10/21/2009 for the course WSE ME 530.328 taught by Professor Dr.charlesmene during the Spring '09 term at Johns Hopkins.
 Spring '09
 Dr.CharlesMene

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