Flow structure on a rotating wing: Effect of steady incident flow

2013 ◽  
Vol 25 (8) ◽  
pp. 081901 ◽  
Author(s):  
M. Bross ◽  
C. A. Ozen ◽  
D. Rockwell
1999 ◽  
Vol 394 ◽  
pp. 357-377 ◽  
Author(s):  
WILLIAM J. DEVENPORT ◽  
CHRISTINE M. VOGEL ◽  
JEFFERY S. ZSOLDOS

Experiments have been performed to study the co-rotating wing-tip vortex pair produced by a pair of rectangular wings in a split-wing configuration. Detailed measurements made in cross-sections upstream and downstream of merger reveal, for the first time, the complex turbulence structure of this flow. The vortices spiral around each other and merge some 20 chordlengths downstream of the wings. As merger is approached the vortices lose their axisymmetry – their cores develop lopsided tangential velocity fields and the mean vorticity field is convected into filaments. The cores also become part of a single turbulence structure dominated by a braid of high turbulence levels that links them together. The braid, which quite closely resembles the structure formed between adjacent spanwise eddies of transitional mixing layers, grows in intensity with downstream distance and extends into the vortex cores. Unlike a single tip vortex, the unmerged cores appear turbulent.The merging of the vortices wraps the cores and the flow structure that surrounds them into a large turbulent region with an intricate double spiral structure. This structure then relaxes to a closely axisymmetric state. The merged core appears stable and develops a structure similar to the laminar core of a vortex shed from a single wing. However, the turbulent region formed around the vortex core during the merger process is much larger and more axisymmetric than that found around a single wing-tip vortex.


2014 ◽  
Vol 755 ◽  
pp. 83-110 ◽  
Author(s):  
M. Wolfinger ◽  
D. Rockwell

AbstractThe flow structure on a rotating wing (flat plate) is characterized over a range of Rossby number $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}\mathit{Ro} = r_g/C$, in which $r_g$ and $C$ are the radius of gyration and chord of the wing, as well as travel distance $\mathit{Ro} = r_g \Phi /C$, where $\Phi $ is the angle of rotation. Stereoscopic particle image velocimetry (SPIV) is employed to determine the flow patterns on defined planes, and by means of reconstruction, throughout entire volumes. Images of the $Q$-criterion and spanwise vorticity, velocity and vorticity flux are employed to represent the flow structure. At low Rossby number, the leading-edge, tip and root vortices are highly coherent with large dimensionless values of $Q$ in the interior regions of all vortices and large downwash between these components of the vortex system. For increasing Rossby number, however, the vortex system rapidly degrades, accompanied by loss of large $Q$ within its interior and downstream displacement of the region of large downwash. These trends are accompanied by increased deflection of the leading-edge vorticity layer away from the surface of the wing, and decreased spanwise velocity and vorticity flux in the trailing region of the wing, which are associated with the degree of deflection of the tip vortex across the wake region. Combinations of large Rossby number $\mathit{Ro} =r_g/C$ and travel distance $r_g \Phi /C$ lead to separated flow patterns similar to those observed on rectilinear translating wings at high angle of attack $\alpha $. In the extreme case where the wing travels a distance corresponding to a number of revolutions, the highly coherent flow structure is generally preserved if the Rossby number is small; it degrades substantially, however, at larger Rossby number.


2014 ◽  
Vol 756 ◽  
pp. 354-383 ◽  
Author(s):  
M. Bross ◽  
D. Rockwell

AbstractA technique of particle image velocimetry is employed to characterize the three-dimensional flow structure on a wing subjected to simultaneous pitch-up and rotational motions. Distinctive vortical structures arise, relative to the well-known patterns on a wing undergoing either pure pitch-up or pure rotation. The features associated with these simultaneous motions include: stabilization of the large-scale vortex generated at the leading edge, which, for pure pitch-up motion, rapidly departs from the leading-edge region; preservation of the coherent vortex system involving both the tip vortex and the leading-edge vortex (LEV), which is severely degraded for pure rotational motion; and rapid relaxation of the flow structure upon termination of the pitch-up component, whereby the relaxed flow converges to a similar state irrespective of the pitch rate. Three-dimensional surfaces of iso-$\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}{Q}$and helicity are employed in conjunction with sectional representations of spanwise vorticity, velocity and vorticity flux to interpret the flow physics.


Author(s):  
J. C. Hu ◽  
Y. Zhou ◽  
H. F. Wang

The work aims to study experimentally the flow structure, heat and momentum transport in the wake of two staggered circular cylinders. The cylinder center-to-center pitch ranged from 1.2 to 4.0, and the angle between the incident flow and the direction through the two cylinder axes was between 0° and 90°. In order to characterize the heat transport of this flow, both cylinders were slightly heated so that heat generated could be considered to be a passive scalar. The velocity and temperature fluctuations were measured using a movable three-wire (one X-wire plus a cold wire) probe across the wake and a fixed X-wire, which acted to provide a reference signal. Measurements were conducted at x/d = 10 and 20 and a Reynolds number of 7000, where d is the cylinder diameter and x is the longitudinal distance from the mid point between the cylinders. Based on phase-averaged vorticity contours and sectional streamlines, the flow structure behind two staggered cylinders is classified into five typical patterns. The flow behaviours for each pattern are examined in detail, including its topology, vortex strength, stability and decay rate. The different behaviours between the patterns are further linked to the different initial conditions. The momentum and heat transport are not presented due to limited space.


Author(s):  
C. W. Wong ◽  
Y. Zhou ◽  
S. X. Feng

This work aims to investigate, based on the Strouhal number St and the flow structure, the dependence of flow classification on the Reynolds number Re in the wake of two staggered cylinders, with Re varying from 1.5×103 and 2.0×104. The cylinder centre-to-centre pitch, P* = P/d examined is 1.2 ∼ 6.0 (d is the cylinder diameter), and the angle (α) between the incident flow and the line through the cylinder centres is 0° ∼ 90°. Two single hotwires were used to measure simultaneously the St behind each of the two cylinders over 2.5d ∼ 15d. Whilst the present data reconfirms the flow structure modes previously reported, the dependence of the flow modes on P* and α exhibits an appreciable dependence on Re. The observation is connected to the Re effect on the generic features of a two-cylinder wake such as flow separation, boundary layer thickness, gap flow deflection and vortex formation length.


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