The streamwise velocity component is studied in fully-developed turbulent channel flow for two very rough surfaces and a smooth surface at comparable Reynolds numbers. One rough surface comprises sparse and isotropic grit with a highly non-Gaussian distribution. The other is a uniform mesh consisting of twisted rectangular elements which form a diamond pattern. The mean roughness heights (+/- the standard deviation) are, respectively, about 76 (+/- 42) and 145 (+/- 150) wall units. The flow is shown to be two-dimensional and fully developed up to the fourth-order moment of velocity. The mean velocity profile over the grit surface exhibits self-similarity (in the form of a logarithmic law) within the limited range of 0.04
A direct numerical simulation of a Batchelor vortex has been carried out in the presence of freely-decaying turbulence, using both periodic and symmetric boundary conditions; the latter most closely approximates typical experimental conditions, while the former is often used in computational simulations for the purposes of numerical convenience. The higher-order velocity statistics were shown to be strongly dependent upon the boundary conditions, but the dependence could be mostly eliminated by correcting for the random, Gaussian modulation of the vortex trajectory commonly referred to as 'wandering' using a technique often employed in the analysis of experimental data. Once corrected for this wandering, the strong peaks in the Reynolds stresses normally observed at the vortex centre were replaced by smaller local extrema located within the core region but away from the centre. The distributions of the corrected Reynolds stresses suggested that the formation and organization of secondary structures within the core is the main mechanism in turbulent production during the linear growth phase of vortex development.
Trailing vortices have been repeatedly shown to exhibit a remarkably robust self-similarity independent of the Reynolds number and upstream boundary conditions. The collapse of the inner-scaled circulation profiles of a trailing vortex has even been previously demonstrated for the cases of highly unsteady and turbulent vortex systems, as well as for vortices which were incompletely developed. A number of factors which contribute to and may artificially promote this self-similarity are discussed. It is shown that the amplitude of vortex ?wandering? (or the random modulations in the vortex trajectory) observed in some experimental measurements are of sufficient amplitude to cause any arbitrary finite and axisymmetric flow structure to collapse with an idealized trailing vortex when scaled on inner parameters. It is further shown that, for the case of an incompletely developed wing-tip vortex, similarity in the outer core region may be an artefact of the rate of roll-up of the vortex sheet. Great care must, therefore, be taken when interpreting experimental measurements of vortex flows.
The streamwise velocity component in fully-developed turbulent channel flow is studied for two very rough surfaces and a smooth surface at comparable Reynolds numbers. One rough surface comprises sparse and isotropic grit with a non-Gaussian distribution. The other is a uniform mesh consisting of twisted rectangular elements which form a diamond pattern. The mean roughness heights (± the standard deviation) are, respectively, about 76 ± 42 and 145 ± 150 wall units. The mean velocity profile over the grit surface exhibits self-similarity (in the form of a logarithmic law) within the limited range of 0:03 d y/h d 0.05, but the profile over the mesh surface exhibits only a small region with a slope tangential to log-law slope scaled on outer variables. However, the mean velocity deficit and higher moments (up to the fourth order) all exhibit some degree of outer scaling over both surfaces. The distinction between self-similarity and outer similarity is clarified and the importance of the former is explained. Spatial correlations show that the dominant large-scale features are very large quasi-streamwise structures with circulation in the cross-flow plane, similar to those found in smooth-wall internal and external flows. However, in the present case, the spanwise length scales are considerably larger. © Springer Science+Business Media B.V. 2010.
Birch DM, Morrison JF (2007) Applicability of Townsend's similarity hypothesis to very rough-wall channel flow, 52 (12)
Birch D, Lee T (2005) Tip vortex behind a wing oscillated with small amplitude, JOURNAL OF AIRCRAFT 42 (5) pp. 1200-1208 AMER INST AERONAUT ASTRONAUT
Morrison JF, Birch DM, Lavoie P (2008) IUTAM Symposium on Flow Control and MEMS, Springer Verlag
Proceedings of the IUTAM Symposium held at the Royal Geographical Society, 19-22 September 2006, hosted by Imperial College, London, England.
Birch DM, Morrison JF (2011) Similarity and Structure in Very-Rough-Wall Channel Flow,
A constant-temperature anemometer has been developed which uses a single high-fidelity speaker driver as a combined signal and power amplifier. Owing to its small size and simplicity of construction, the anemometer is well suited for applications requiring a large number of channels (such as hot-wire rakes) as well as applications requiring the embedding of instrumentation within confined experimental models (such as reduced-scale wind turbine blades). The anemometer is shown to have performance characteristics similar to those of a commercial anemometer when used under its design conditions. An operating bandwidth as high as 10 kHz can be achieved, which is greater than most available time-resolved digital particle-image velocimetry systems and is shown to be sufficient to track large-scale turbulence structures in channel flow.
Birch D, Lee T (2005) Effect of trailing-edge flap on a tip vortex, JOURNAL OF AIRCRAFT 42 (2) pp. 442-447 AMER INST AERONAUT ASTRONAUT
A novel approach has been considered for the formal process of calibrating multiple hole pressure probes for use in wind tunnels. Rather than determining the attitude angles of a probe and subsequently flow angularity for a fixed probe, either by linear interpolation between sample points or through the use of piecewise functional fits, the outputs from the probe are mapped as continuous functions across the angular test space, using a set of sample points derived from Optimal Design of Experiments. This offers the potential of more accurate probe calibrations across a wider range of flow onset angles, with fewer sample points than currently used for the same purpose. Proof-of-concept tests using a five-hole probe have indicated that the approach is viable, while examination of fits to legacy data from prior tests indicates that the approach is easily extendable to probes with an arbitrary number of holes, and to multiple hot-wire installations.
Birch D, Lee T, Mokhtarian F, Kafyeke F (2004) Structure and induced drag of a tip vortex, JOURNAL OF AIRCRAFT 41 (5) pp. 1138-1145 AMER INST AERONAUT ASTRONAUT
Lee T, Birch D, Gerontakos P (2004) Testing unmanned aerial vehicle airfoils, IEEE INSTRUMENTATION & MEASUREMENT MAGAZINE 7 (3) pp. 32-37 IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
The measurement of vortex flows with particle-image velocimetry (PIV) is particularly susceptible to error arising from the finite mass of the tracer particles, owing to the high velocities and accelerations typically experienced. A classical model of Stokes-flow particle transport is adopted, and an approximate solution for the case of particle transport within an axisymmetric, quasi-two-dimensional Batchelor q-vortex is presented. A generalized expression for the maximum particle tracking error is proposed for each of the velocity components, and the importance of finite particle size distributions is discussed. The results indicate that the tangential velocity component is significantly less sensitive to tracking error than the radial component, and that the conventional particle selection criterion (based on the particle Stokes number) may result in either over- or under-sized particles for a specified allowable error bound. Results were demonstrated by means of PIV measurements carried out in air and water using particles with very different properties.
Birch D, Lee T, Mokhtarian F, Kafyeke F (2003) Rollup and near-field behavior of a tip vortex, JOURNAL OF AIRCRAFT 40 (3) pp. 603-607 AMER INST AERONAUT ASTRONAUT
Birch D, Lee T (2005) Investigation of the near-field tip vortex behind an oscillating wing, JOURNAL OF FLUID MECHANICS 544 pp. 201-241 CAMBRIDGE UNIV PRESS
Rampersad P, Nathan P, Birch D A flow meter, 1500257.9
A flow meter (1) comprising a sampling tube (3) through which fluid may flow and a sensor arrangement (9, 25, 27, 39, 41, 43, 44, 45, 46, 47), wherein the sampling tube (3) comprises a first hollow section (51, 53) having a first internal cross-sectional area (A1) and a second hollow section (55, 57) having a second internal cross-sectional area (A2) being less than the first internal cross-sectional area (A1); and the sensor arrangement (9, 25, 27, 39, 41, 43, 44, 45, 46, 47), is for measuring the difference between stagnation and static pressures (P01, P02, P1, P2) within the second hollow section (55, 57).
Birch DM, Morrison JF (2011) Scaling of Turbulence Structures in Very-Rough-Wall Channel Flow, PROGRESS IN WALL TURBULENCE: UNDERSTANDING AND MODELING 14 pp. 405-412 SPRINGER
Birch DM, Morrison JF (2008) Velocity scaling in very-rough-wall channel flows,
Birch D, Lee T (2001) Control of unsteady shear layers over a cavity, 48TH ANNUAL CONFERENCE OF THE CANADIAN AERONAUTICS AND SPACE INSTITUTE, PROCEEDINGS pp. 313-321 CANADIAN AERONAUTICS AND SPACE INST
Birch D, Lee T (2005) Tip vortex behind a wing undergoing deep-stall oscillation, AIAA JOURNAL 43 (10) pp. 2081-2092 AMER INST AERONAUT ASTRONAUT
The calibration of directional velocity probes can require significant facility time and
resources, especially if carried out in situ. The techniques of design of experiments are
therefore applied in order to formally optimize the selection of calibration points. A
model is proposed for a generalized directional velocity probe, and this model is used
to generate an approximate, polynomial response surface model which is shown to
agree well with measurements from both multi-sensor hot-wire probes and multi-hole
pressure probes, in a variety of geometries. The process of D-optimality is then applied
based on this response surface model, and a typical probe is calibrated accordingly.
The probe is then used to scan the wake of a vortex generator, in order to test the
efficacy of the reduced calibrations. D-optimal calibration points are shown to offer
a significant improvement in data fidelity over conventional rectangular grids, and
minimal additional uncertainty is incurred after a 25-fold reduction in the number of
There has been much recent interest in the combined structural and
aerodynamic properties of porous metal foams, but there does not yet
appear to be a consensus on the aerodynamic behaviour of these foam
materials. A comprehensive analytical and experimental study with special
attention to scaling was carried out in order to examine the flow around
cylinders coated with porous metal foam and characterize the effects
upon the mechanisms governing shear layer separation, vortex shedding
and wake formation.
Results have yielded a correlation between the
distance separating the detaching shear layers and the vorticity losses in
the near-wake. It seems that it is the coating configuration, rather than
geometry, that influences vortex shedding, and therefore foams affect the
flow in a similar way as shrouds or bleeding systems.
Song J, Fan S, Lin William, Mottet L, Wooward H, Davies Wykes M, Arcucci R, Xiao D, Debay J, ApSimon H, Aristodemou E, Birch David, Carpentieri Matteo, Fan F, Herzog M, Hunt G, Jones R, Pain C, Pavlidis D, Robins Alan, Short C, Linden P (2018) Natural ventilation in cities: the implications of fluid mechanics, Building Research & Information 46 (8) pp. 809-828
Taylor & Francis
Research under the Managing Air for Green Inner Cities (MAGIC) project uses measurements and modelling to investigate the connections between external and internal conditions: the impact of urban airflow on the natural ventilation of a building. The test site was chosen so that under different environmental conditions the levels of external pollutants entering the building, from either a polluted road or a relatively clean courtyard, would be significantly different. Measurements included temperature, relative humidity, local wind and solar radiation, together with levels of carbon monoxide (CO) and carbon dioxide (CO2) both inside and outside the building to assess the indoor?outdoor exchange flows. Building ventilation took place through windows on two sides, allowing for single-sided and crosswind-driven ventilation, and also stack-driven ventilation in low wind conditions. The external flow around the test site was modelled in an urban boundary layer in a wind tunnel. The wind tunnel results were incorporated in a large-eddy-simulation model, Fluidity, and the results compared with monitoring data taken both within the building and from the surrounding area. In particular, the effects of street layout and associated street canyons, of roof geometry and the wakes of nearby tall buildings were examined.
A two-component micropillar system has been
developed for use in flow characterization and control applications.
It is demonstrated that the piezoresistive elements
in a conventional pressure sensing die can be used to measure
moments directly applied to the die with reasonable
sensitivity. The concept is then demonstrated by bonding a
small, rigid pillar to the centre of a commercially-available,
off-the-shelf doped silicon pressure sensing membrane with
integrated piezoresistive bridge elements. The signal response
of the system is then calibrated against aerodynamic loading,
and a typical sensitivity of 70 mV/mNm is demonstrated. The
functionality of the micropillars in flow control applications
is verified by recessing the pillar below a flat surface on
which a model boundary layer is developed. By processing
the signals through the membrane bridge-arms independently,
directionally-resolved forces may also be obtained.
The nature of turbulence within wing-tip vortices has been a topic of research for decades, yet accurate measurements of Reynolds stresses within the core are inherently difficult due to the bulk motion wandering caused by initial and boundary conditions in wind tunnels. As a result, characterization of a vortex as laminar or turbulent is inconclusive and highly contradicting. This research uses several experimental techniques to study the effects of broadband turbulence, introduced within the wing boundary layer, on the development of wing-tip vortices. Two rectangular wings with a NACA 0012 profile were fabricated for the use of this research. One wing had a smooth finish and the other rough, introduced by P80 grade sandpaper. Force balance measurements showed a small reduction in wing performance due to surface roughness for both 2D and 3D configurations, although stall characteristics remained relatively unchanged.
Seven-hole probes were purpose-built and used to assess the mean velocity profiles of the vortices five chord lengths downstream of the wing at multiple angles of attack. Above an incidence of 4 degrees, the vortices were nearly axisymmetric, and the wing roughness reduced both velocity gradients and peak velocity magnitudes within the vortex. Laser Doppler velocimetry was used to further assess the time-resolved vortex at an incidence of 5 degrees. Evidence of wake shedding frequencies and wing shear layer instabilities at higher frequencies were seen in power spectra within the vortex. Unlike the introduction of freestream turbulence, wing surface roughness did not appear to increase wandering amplitude. A new method for removing the effects of vortex wandering is proposed with the use of carefully selected high-pass filters. The filtered data revealed that the Reynolds stress profiles of the vortex produced by the smooth and rough wing were similar in shape, with a peak occurring away from the vortex centre but inside of the core. Single hot-wire measurements in the 2D wing wake revealed the potential origin of dominant length-scales observed in the vortex power spectra. At angles above 5 degrees, the 2D wing wake had both higher velocity deficits and higher levels of total wake kinetic energy for the rough wing as compared to the smooth wing.