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result(s) for
"CHRISTENSEN, K. T."
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Spatial structure of a turbulent boundary layer with irregular surface roughness
by
WU, Y.
,
CHRISTENSEN, K. T.
in
Boundary layer
,
Boundary layer and shear turbulence
,
Boundary layers
2010
Particle image velocimetry experiments were performed to study the impact of realistic roughness on the spatial structure of wall turbulence at moderate Reynolds number. This roughness was replicated from an actual turbine blade damaged by deposition of foreign materials and its features are quite distinct from most roughness characterizations previously considered as it is highly irregular and embodies a broad range of topographical scales. The spatial structure of flow over this rough surface near the outer edge of the roughness sublayer is contrasted with that of smooth-wall flow to identify any structural modifications due to roughness. Hairpin vortex packets are observed in the outer layer of the rough-wall flow and are found to contribute heavily to the Reynolds shear stress, consistent with smooth-wall flow. While similar qualitative consistency is observed in comparisons of smooth- and rough-wall two-point correlations, some quantitative differences are also apparent. In particular, a reduction in the streamwise extent of two-point correlations of streamwise velocity is noted which could be indicative of a roughness-induced modification of outer-layer vortex organization. Proper orthogonal decomposition analysis reveals the streamwise coherence of the larger scales to be most sensitive to roughness while the spatial characteristics of the smaller scales appear relatively insensitive to such effects.
Journal Article
Population trends of spanwise vortices in wall turbulence
by
WU, Y.
,
CHRISTENSEN, K. T.
in
Boundary layer and shear turbulence
,
Boundary layers
,
Channel flow
2006
The present effort documents the population trends of prograde and retrograde spanwise vortex cores in wall turbulence outside the buffer layer. Large ensembles of instantaneous velocity fields are acquired by particle-image velocimetry in the streamwise–wall-normal plane of both turbulent channel flow at $\\hbox{\\it Re}_\\tau\\equiv u_*\\delta/\\nu=570$, 1185 and 1760 and a zero-pressure-gradient turbulent boundary layer at $\\hbox{\\it Re}_\\tau=1400$, 2350 and 3450. Substantial numbers of prograde spanwise vortices are found to populate the inner boundary of the log layer of both flows and most of these vortices have structural signatures consistent with the heads of hairpin vortices. In contrast, retrograde vortices are most prominent at the outer edge of the log layer, often nesting near clusters of prograde vortices. Appropriate Reynolds-number scalings for outer- and inner-scaled population densities of prograde and retrograde vortices are determined. However, the Re$_\\tau=570$ channel-flow case deviates from these scalings, indicating that it suffers from low-Re effects. When the population densities are recast in terms of fractions of resolved prograde and retrograde spanwise vortices, similarity is observed for $100\\,{<}\\,y^+\\,{<}\\,0.8\\delta^+$ in channel flow and in both flows for $100\\,{<}\\,y^+\\,{<}\\,0.3\\delta^+$ over the Re$_\\tau$ range studied. The fraction of retrograde vortices increases slightly with $Re_\\tau$ beyond the log layer in both flows, suggesting that they may play an increasingly important role at higher Reynolds numbers. Finally, while the overall prograde and retrograde population trends of channel flow and the boundary layer show little difference for $y\\,{<}\\,0.45\\delta$, the retrograde populations differ considerably beyond this point, highlighting the influence of the opposing wall in channel flow.
Journal Article
Cross-stream stereoscopic particle image velocimetry of a modified turbulent boundary layer over directional surface pattern
by
Hutchins, N.
,
Monty, J. P.
,
Barros, J. M.
in
Boundary layer
,
Boundary layer transition
,
Boundary layers
2017
A turbulent boundary layer developed over a herringbone patterned riblet surface is investigated using stereoscopic particle image velocimetry in the cross-stream plane at
$Re_{\\unicode[STIX]{x1D70F}}\\approx 3900$
. The three velocity components resulting from this experiment reveal a pronounced spanwise periodicity in all single-point velocity statistics. Consistent with previous hot-wire studies over similar-type riblets, we observe a weak time-average secondary flow in the form of
$\\unicode[STIX]{x1D6FF}$
-filling streamwise vortices. The observed differences in the surface and secondary flow characteristics, compared to other heterogeneous-roughness studies, may suggest that different mechanisms are responsible for the flow modifications in this case. Observations of instantaneous velocity fields reveal modified and rearranged turbulence structures. The instantaneous snapshots also suggest that the time-average secondary flow may be an artefact arising from superpositions of much stronger instantaneous turbulent events enhanced by the surface texture. In addition, the observed instantaneous secondary motions seem to have promoted a free-stream-engulfing behaviour in the outer layer, which would indicate an increase turbulent/non-turbulent flow mixing. It is overall demonstrated that the presence of large-scale directionality in transitional surface roughness can cause a modification throughout the entire boundary layer, even when the roughness height is 0.5 % of the layer thickness.
Journal Article
Field Evidence for the Initiation of Isolated Aeolian Sand Patches
2023
Sand patches are one of the precursors to early stage protodunes and occur widely in both desert and coastal aeolian environments. Here we show field evidence of a mechanism to explain the initiation of sand patches on non‐erodible surfaces, such as desert gravels and moist beaches. Changes in sand transport dynamics, directly associated with the height of the saltation layer and variable transport law, observed at the boundary between non‐erodible and erodible surfaces lead to sand deposition on the erodible surface. This explains how sand patches can form on surfaces with limited sand availability where linear stability of dune theory does not apply. This new mechanism is supported by field observations that evidence both the change in transport rate over different surfaces and in situ patch formation that leads to modification of transport dynamics at the surface boundary.
Plain Language Summary
Sand patches can be observed in various environments such as beaches and gravel plains in deserts. Expected to be precursors of dunes when sediment supply is limited, these bedforms are typically a few centimeters high and present a reverse longitudinal elevation profile, with a sharp upwind edge and a smooth downwind tail. Based on field measurements, we propose a formation mechanism for these patches associated with the sensitive nature of wind‐blown sand transport to changing bed conditions: sand saltation is reduced at the transition from a solid to an erodible surface, hence favoring deposition on the patches. This allows us to explain their typical meter‐scale length as well as their asymmetric shapes.
Key Points
Sand patches can emerge on non‐erodible surfaces
Differing surfaces characteristics control particle behavior
Field measurements demonstrate the key role of sand transport in bedform initiation
Journal Article
Statistical evidence of hairpin vortex packets in wall turbulence
by
ADRIAN, R. J.
,
CHRISTENSEN, K. T.
in
Average flow
,
Boundary layer and shear turbulence
,
Channel flow
2001
The structure of velocity in the outer region of turbulent channel flow
(y+ [gsim ] 100) is
examined statistically to determine the average flow field associated with spanwise
vortical motions. Particle image velocimetry measurements of the streamwise and wall-normal velocity components are correlated with a vortex marker (swirling strength) in
the streamwise–wall-normal plane, and linear stochastic estimation is used to estimate
the conditional average of the two-dimensional velocity field associated with a swirling
motion. The mean structure consists of a series of swirling motions located along a
line inclined at 12°–13° from the wall. The pattern is consistent with the observations
of outer-layer wall turbulence in which groups of hairpin vortices occur aligned in the
streamwise direction. While the observational evidence for the aforementioned model
was based upon both experimental and computational visualization of instantaneous
structures, the present results show that, on average, the instantaneous structures occur
with sufficient frequency, strength, and order to leave an imprint on the statistics of
the flow as well. Results at Reτ = 547 and 1734 are presented.
Journal Article
Spatial signatures of retrograde spanwise vortices in wall turbulence
by
WU, Y.
,
NATRAJAN, V. K.
,
CHRISTENSEN, K. T.
in
Boundary layer and shear turbulence
,
Boundary layers
,
Engineering
2007
The spatial signatures of retrograde spanwise vortices in wall turbulence are assessed from particle-image velocimetry measurements in the streamwise–wall-normal plane of a zero-pressure-gradient turbulent boundary layer at Reτ≡u*δ/ν=2350. The present results suggest that a proportion of retrograde spanwise vortices have a well-defined spatial relationship with neighbouring prograde vortices. Two-point cross-correlations and conditionally averaged velocity fields given a retrograde vortex reveal that such structures are typically oriented either upstream of and below or downstream of and above a prograde core. While these pairings are consistent with the typical-eddy patterns reported by Falco and co-workers, we offer an alternative interpretation for a proportion of these retrograde/prograde pairs. In particular, the arrangement of a retrograde spanwise vortex upstream of and below a prograde core is also consistent with the spatial signature revealed if an omega-shaped hairpin structure were sliced through its shoulder region by a fixed streamwise–wall-normal measurement plane.
Journal Article
The impact of surface roughness on flow through a rectangular microchannel from the laminar to turbulent regimes
by
Natrajan, V. K.
,
Christensen, K. T.
in
Analytical Chemistry
,
Applied fluid mechanics
,
Biomedical Engineering and Bioengineering
2010
Modifications of fluid flow within microscale flow passages by internal surface roughness is investigated in the laminar, transitional, and turbulent regimes using pressure-drop measurements and instantaneous velocity fields acquired by microscopic particle-image velocimetry (micro-PIV). The microchannel under study is rectangular in cross-section with an aspect ratio of 1:2 (depth: width) and a hydraulic diameter of
Measurements are first performed under smooth-wall conditions to establish the baseline flow characteristics within the microchannel followed by measurements for two different rough-wall cases [with RMS roughness heights of
(0.0125
D
h
) and
(0.025
D
h
)]. The roughness patterns under consideration are unique in that they are reminiscent of surface irregularities one might encounter in practical microchannels due to imperfect fabrication methods. The pressure-drop results reveal the onset of transition above
for the smooth-wall case, consistent with the onset of transition at the macroscale, along with deviation from laminar behavior at progressively lower
Re
with increasing roughness. Mean velocity profiles computed from the micro-PIV ensembles at various
Re
for each surface condition confirm these trends, meaning
is a strong function of roughness. The ensembles of velocity fields at each
Re
and surface condition in the transitional regime are subdivided into fields embodying laminar behavior and fields containing disordered motions. This decomposition reveals a clear hastening of the flow toward a turbulent state due both to the roughness dependence of
Re
cr
and an enhancement in the growth rate of the non-laminar fraction of the flow when the flow is in the early stages of transition. Nevertheless, the range of
Re
relative to
Re
cr
over which the flow transitions from a laminar to a turbulent state is found to be essentially the same for all three surface conditions. From a structural viewpoint, instantaneous velocity fields embodying disordered behavior in the transitional regime are found to contain large-scale motions consistent with hairpin-vortex packets irrespective of surface condition. These observations are in accordance with the characteristics of transitional and turbulent flows at the macroscale and therefore indicate that the overall structural paradigm of the flow is relatively insensitive to roughness. From a quantitative viewpoint, however, the intensity of both the velocity fluctuations and structural activity appear to increase substantially with increasing roughness, particularly in the latter stages of transition. These differences are further supported by the trends of single-point statistics of the non-laminar ensembles and quadrant analysis in which an intensification of the velocity fluctuations by surface roughness is noted in the region close to the wall, particularly for the wall-normal fluctuations.
Journal Article
Microstreaming effects on particle concentration in an ultrasonic standing wave
by
Christensen, K. T.
,
Spengler, J. F.
,
Coakley, W. T.
in
Exact sciences and technology
,
Fluid dynamics
,
Fundamental areas of phenomenology (including applications)
2003
It is shown that the magnitude of Rayleigh microstreaming convective drag on microparticles in water in a 3.2‐MHz ultrasonic standing wave can be comparable to the lateral direct radiation force in the nodal plane (DRF1) and can significantly influence the microparticle aggregation. The transducer of a single half‐wavelength chamber was excited to give a single particle aggregate. The estimated sound pressure amplitude was 0.5 MPa. Particle image velocimetry (PIV) measurements gave the average microstreaming velocity in the nodal plane as 450 μm·s−1, which is comparable to the 340‐μm·s−1 value calculated from Rayleigh's theory. Movement of 25‐μm latex particles was primarily determined by DRF1, while that of smaller 1.0 μm, particles was determined by Rayleigh microstreaming. A 15‐μm latex particle velocity map, simulated from microstreaming data, the measured velocity map of 25‐μm particles, and the cube‐dependent relationship between DRF1's on particles of different sizes, was in reasonable agreement with a measured velocity map. Further evidence for the importance of microstreaming came from the result that velocities for 1‐ and 25‐μm particles were of similar magnitude, but were opposite in direction.
Journal Article
Statistical and structural similarities between micro- and macroscale wall turbulence
2007
Microscopic particle-image velocimetry (micro-PIV) measurements are made in the streamwise-wall-normal plane of a 536 μm capillary at Re = 4,500 to study the statistical and structural features of wall turbulence at the microscale. Single-point velocity statistics, including the mean velocity profile, the root-mean-square streamwise and wall-normal velocities, and the Reynolds shear stress profile, agree well with established direct numerical simulations of turbulence in the same geometry at Re = 5,300. This consistency validates the efficacy of micro-PIV as an experimental tool for studying instantaneous, and even turbulent, flow behavior at the microscale. The instantaneous micro-PIV velocity fields reveal spanwise vortices that streamwise-align to form larger-scale interfaces that are inclined slightly away from the wall. These observations are entirely consistent with the signatures of hairpin vortices and hairpin vortex packets that are often noted in instantaneous PIV realizations of macroscale wall turbulence. Further, two-point velocity correlations and estimates of the conditionally averaged velocity field given the presence of a spanwise vortex indicate that hairpin structures and their organization into larger-scale vortex packets are statistically significant features of wall turbulence at the microscale.[PUBLICATION ABSTRACT]
Journal Article
Commentary: A Physician's Perspective on Conflicts of Interest
Martin Gunderson's argument for an informed consent process legitimizing a managed care plan's conflicts of interest through patient consent makes theoretical but not real world sense. Traditional fee-for-service medicine often resulted in overtreatment and even iatrogenic harm, while with managed care have come research- and results-oriented practice guidelines. It would therefore be difficult to define a real-world situation in which doctor and patient would have to agree that the optimal care would not necessarily be offered.
Journal Article