======Flow along a Streamwise Axially Rotating Cylinder======
=====Experiments by Lohmann=====
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====Description====
The data represent the results of an experimental investigation of the
three-dimensional turbulent boundary layer formed when an initially collateral boundary
layer encounters local transverse motion of the bounding surface The flow field was
generated by permitting the collateral boundary layer to develop on the surface of a
cylindrical body with an external flow parallel to its axis and with a rotating segment of
the cylinder downstream.
{{ figs:case067:cas67-geom.png |Flow configuration}}
Most of the measurements have been obtained at a Reynolds number, based on free-stream
axial velocity \(U_{\infty}\) and per unit inch, of around 28,800, and a ratio of
cylinder surface tangential velocity (\(W_s\)) to \(U_{\infty}\) of 1.45. A few turbulence
measurements are available at a higher velocity ratio of 2.2.
===Experimental Apparatus===
The experiment was conducted on the apparatus shown schematically in . Air,
delivered to the rear of the plenum box by a centrifugal blower, was distributed evenly
over the 1.4 m (55 in.) square cross section of the plenum by the pressure drop across two
layers of 1 inch thick fibreglass air conditioning filters. After passing through three
16-mesh wire screens, spaced 0.38 m (15 in.) apart in the plenum box, the flow entered the
annular test section through a contraction of 10.3 area ratio.
The centre-body of the annulus was constructed of 10 in. nominal diameter steel pipe
turned to a smooth surface. A hemi-spherical end cap was installed on the front of the
centerbody and a strip of sandpaper was glued around the shoulder to stabilise transition
of the boundary layer.
The rotating portion of the centre-body was of a drum construction and was machined
after it was welded to a 25.4 mm (1 in.) diameter central shaft.
The rotor assembly was dynamically balanced and was supported by rigidly mounted ball
bearings in the forward and aft stationary segments of the centre-body. The axial gap
between the rotor and the forward portion of the centre-body was maintained at 0.25 mm
(0.010 in.) and the radial step between these components was less than 0.025 mm (0.001
in.).
The centre-body assembly was supported from an external angle-iron structure by eight
tie rods across the annulus upstream of the test section proper and by two support struts
under the rear bearing mount. A pulley was installed on the rear shaft of the rotor, and a
V-belt drive, with the belt crossing the air stream downstream of the test section, was
powered by an A.C. electric motor mounted beneath the apparatus. Speed variation was
accomplished by changing drive pulley sizes.
When assembled and aligned, the rotor was concentric with the stationary portions of
the centre-body within 0.019 mm (0.00075 in.) and there was little perceivable vibration
when the rotor was turning at its maximum speed. The sheet steel outer wall of the annulus
had a slight divergence to eliminate axial pressure gradients due to boundary layer
growth.
====Measurement Details====
All of the data were obtained using DISA Model 55F04 and 55F02 hot wire anemometer
probes. These probes use tungsten wires with a diameter of 0.0051 mm (0.0002 in.) between
wire supports 3 mm apart. The sensing length of the wire is reduced to 1.25 mm by gold
plating the wire near the supports. This type of probe was selected primarily to minimise
support interference effects. The probes were installed in a traversing mechanism that was
mounted on rails over a slot in the outer wall of the test section. A micrometer drive was
used to position the probe radially, while the entire mechanism could be rotated about a
radial axis with its direction being defined by a protractor disc. To minimise flow
interference, the probe support was curved rearward and held the probe with its axis at an
inclination of 9 degrees to the wall. An optical device was used to establish the location
of the probe relative to the wall at the start of each traverse and was capable of
resolution within 0.025 mm (0.001 in.).
===Measurement Errors===
Calibration checks of the hot wire anemometer probes indicated that mean velocity
measurements were generally repeatable with +/-1 percent of the free stream velocity.
Similarly, the technique used to define mean flow direction (rotating the wire to the
position of minimum signal) was found accurate to +/-1 deg during calibration. When
combined with limitations on the accuracy to which the protractor on the traversing
mechanism could be read, an error of 1.5 to 2.0 deg in mean flow direction was possible.
The potential for errors was considerably higher in the measurements of the turbulence
characteristics. Sensitivity studies of the pertinent data reduction equations indicated
that errors of 1 deg in the determination of the inclination angle of the wire could
produce as much as a 10 percent error in a Reynolds shear stress computed from the data.
Other factors, such as variations in the flow direction over the length of the wire and
support interference effects, could amplify these errors considerably. Estimates of the
error in the definition of the Reynolds stress tensor components \(\overline{u^2}\),
\(\overline{w^2}\), and \(\overline{uw}\) indicate
they are, in general, accurate on an absolute basis within +/-10 percent.
The techniques employed to define \(\overline{v^2}\), \(\overline{uv}\) and
\(\overline{vw}\) were more susceptible to error and the absolute levels of
these quantities could be in error by as much as 20 percent. However, much of the data
used in the evaluation of these components was obtained in successive traverses with and
without surface motion. In these cases, errors arising from such factors as inaccurate
definition of the wire inclination introduce a constant bias that, while it influences the
absolute results, is not as significant in a relative sense.
====Available Measurements====
Data available includes:
* Profiles of mean velocities \(U\) and \(W\), rms fluctuating velocities \(u'\) and \(w'\) and shear stress \(\overline{uw}\) at 6 stations (\(x=1\), \(3\), \(5\), \(8\), \(13\) and \(16\) in.)
* Profiles of rms velocity \(v'\) and shear stresses \(\overline{uv}\) and \(\overline{vw}\) at \(x=3\), \(8\) and \(16\) in.
[[case067-plots|Sample plots]] of selected quantities are available.
The data can be downloaded as compressed archives from the links below, or as individual files.
* {{cdata:case067:fsrc-allfiles.zip|fsrc-allfiles.zip}}
* {{cdata:case067:fsrc-allfiles.tar.gz|fsrc-allfiles.tar.gz}}
The file {{cdata:case067:readme.txt|readme.txt}} summarizes the nomenclature used in the data files.
^ ^^ \(W_s/U_{\infty}=1.45\) ^^^ \(W_s/U_{\infty}=2.2\) ^
| Station | \(x\) (in.) | \(U\), \(W\), \(u'\), \(w'\), \(\overline{uw}\) | \(v'\) | \(\overline{uv}\), \(\overline{vw}\) | \(v'\) |
| 1 | 1 | {{cdata:case067:loh-mean-turb-u-w-st1.dat|loh-mean-turb-u-w-st1.dat}} | | | |
| 2 | 3 | {{cdata:case067:loh-mean-turb-u-w-st2.dat|loh-mean-turb-u-w-st2.dat}} | {{cdata:case067:loh-turb-v-st2.dat|loh-turb-v-st2.dat}} | {{cdata:case067:loh-turb-uv-vw-st2.dat|loh-turb-uv-vw-st2.dat}} | {{cdata:case067:loh-hs-turb-v-st2.dat|loh-hs-turb-v-st2.dat}} |
| 3 | 5 | {{cdata:case067:loh-mean-turb-u-w-st3.dat|loh-mean-turb-u-w-st3.dat}} | | | |
| 4 | 8 | {{cdata:case067:loh-mean-turb-u-w-st4.dat|loh-mean-turb-u-w-st4.dat}} | {{cdata:case067:loh-turb-v-st4.dat|loh-turb-v-st4.dat}} | {{cdata:case067:loh-turb-uv-vw-st4.dat|loh-turb-uv-vw-st4.dat}} | {{cdata:case067:loh-hs-turb-v-st4.dat|loh-hs-turb-v-st4.dat}} |
| 5 | 13 | {{cdata:case067:loh-mean-turb-u-w-st5.dat|loh-mean-turb-u-w-st5.dat}} | | | |
| 5a | 14 | | | | {{cdata:case067:loh-hs-turb-v-st5a.dat|loh-hs-turb-v-st5a.dat}} |
| 6 | 16 | {{cdata:case067:loh-mean-turb-u-w-st6.dat|loh-mean-turb-u-w-st6.dat}} | {{cdata:case067:loh-turb-v-st6.dat|loh-turb-v-st6.dat}} | {{cdata:case067:loh-turb-uv-vw-st6.dat|loh-turb-uv-vw-st6.dat}} | |
====References====
- Lohmann, R.P. (1976). [[https://doi.org/10.1115/1.3448319|The response of a developed turbulent boundary layer to local transverse surface motion]]. //Journal of Fluid Engineering//, Vol. 98, pp. 354-363.
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Indexed data:
case : 067
title : Flow along a streamwise axially rotating cylinder
author* : Lohmann
year : 1976
type : EXP
flow_tag* : axisymmetric, 3dbl