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Flow over a Magnetically Suspended Cylinder in an Axial Free Stream

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80<br />

u/U<br />

65<br />

50<br />

35<br />

20<br />

5<br />

z(mm)<br />

-10<br />

-25<br />

-40<br />

-55<br />

-70<br />

1.00 -1.02<br />

0.98 -1.00<br />

0.96 -0.98<br />

0.94 -0.96<br />

0.92 -0.94<br />

0.90 -0.92<br />

0.88 -0.90<br />

0.86 -0.88<br />

0.84 -0.86<br />

0.82 -0.84<br />

0.80 -0.82<br />

-85<br />

-70<br />

-55<br />

-40<br />

-25<br />

-10<br />

5<br />

20<br />

35<br />

50<br />

65<br />

80<br />

-85<br />

y(mm)<br />

Figure 3 Me<strong>an</strong> axial velocity (u/U) distribution <strong>in</strong> the wake of the 45mm diameter cyl<strong>in</strong>der,<br />

L/D=5.02 at x/D= 6.11 (Re D =100,000)<br />

1.05<br />

1.00<br />

0.95<br />

y traverse<br />

y traverse (mirror image)<br />

z traverse (mirror image)<br />

z traverse<br />

u/U<br />

0.90<br />

0.85<br />

0.80<br />

-2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0<br />

y/D or z/D<br />

Figure 4 Me<strong>an</strong> velocity profiles along 2 axes <strong>in</strong> the wake<br />

a 45mm diameter L/D=5.02 axial cyl<strong>in</strong>der at x/D= 6.11<br />

The streamwise variation of the me<strong>an</strong> velocity <strong>in</strong> the wake was measured beh<strong>in</strong>d the 25mm diameter cyl<strong>in</strong>der<br />

with a s<strong>in</strong>gle hot wire probe, <strong>an</strong>d the results are shown <strong>in</strong> Fig. 5. When the virtual orig<strong>in</strong> of the wake was taken to be<br />

1.3D downstream of the trail<strong>in</strong>g edge, the velocity defects shown <strong>in</strong> Figs. 4 <strong>an</strong>d 5 followed the established x^(-1/3)<br />

law for axisymmetric wakes.<br />

1.0<br />

u/Uma<strong>in</strong><br />

0.8<br />

0.6<br />

0.4<br />

z=1mm<br />

x=0.04D<br />

x=2D<br />

x=4D<br />

x=10D<br />

0.2<br />

0.0<br />

-2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0<br />

y/D<br />

Figure 5.<br />

Velocity distributions across the wake of 25mm diameter cyl<strong>in</strong>der (L/D=6)<br />

- 4 –<br />

Americ<strong>an</strong> Institute of Aeronautics <strong>an</strong>d Astronautics

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