Flow Field around a Vertical Cylinder in Presence of Long Waves: An Experimental Study
<p>Sketch of the channel with location of the cylinders and (<span class="html-italic">X,Z</span>) axes. Side view.</p> "> Figure 2
<p>Sketch of the longitudinal (<b>a</b>) and plan view (<b>b</b>) of the cylinders in the flume with the fixed coordinate system (<span class="html-italic">X</span>,<span class="html-italic">Y</span>,<span class="html-italic">Z</span>). Dashed lines define the field of views (FoV) of the PIV. Measurements not to scale.</p> "> Figure 3
<p>Comparison of computed <span class="html-italic">u</span> and experimental phase-averaged streamwise velocity <span class="html-italic">u<sub>p</sub></span> at point <span class="html-italic">X</span> = 10.95 m, <span class="html-italic">Y</span> = 0.07 m, and <span class="html-italic">Z</span> = 0.035 m for W1 (<b>a</b>) and W2 (<b>b</b>).</p> "> Figure 4
<p>Top row: vertical profiles of the ensemble-averaged streamwise velocity <<span class="html-italic">u</span>>, normalized by <span class="html-italic">U</span>, measured at wave trough, ascending phase, crest, descending phase. Selected profile at <span class="html-italic">X</span> = 10.842 m and <span class="html-italic">Y</span> = 0.10 m. (<b>a</b>) Wave W1 and (<b>b</b>) wave W2. Bottom row (<b>c</b>): vertical profiles of <<span class="html-italic">u</span>> normalized by the maximum value of <<span class="html-italic">u</span>> detected for each profile.</p> "> Figure 5
<p>Horizontal maps of the normalized ensemble-averaged streamwise velocity <<span class="html-italic">u</span>> at phases (<b>a</b>) W1 trough, (<b>b</b>) W1 crest, (<b>c</b>) W2 trough, (<b>d</b>) and W2 crest. <span class="html-italic">Z</span> axis is vertical and positive upward; here <span class="html-italic">Z</span> = 0.035 m.</p> "> Figure 6
<p>Horizontal maps of the ensemble-averaged vorticity <span class="html-italic"><Wz></span>, at phases (<b>a</b>) W1 trough, (<b>b</b>) W1 crest, (<b>c</b>) W2 trough, (<b>d</b>) and W2 crest. Marked points identify the locations used for the successive wavelet analysis. <span class="html-italic">Z</span> axis is vertical and positive upward; here <span class="html-italic">Z</span> = 0.035 m.</p> "> Figure 7
<p>W2 wave: signal of the turbulent streamwise velocity <span class="html-italic">u’</span>(<span class="html-italic">t</span>), spectrogram of <span class="html-italic">u’</span>(<span class="html-italic">t</span>), and global wavelet spectrum for the selected points: O1 (<b>a</b>), E1 (<b>b</b>), I1 (<b>c</b>), O2 (<b>d</b>), E2 (<b>e</b>), and I2 (<b>f</b>).</p> "> Figure 7 Cont.
<p>W2 wave: signal of the turbulent streamwise velocity <span class="html-italic">u’</span>(<span class="html-italic">t</span>), spectrogram of <span class="html-italic">u’</span>(<span class="html-italic">t</span>), and global wavelet spectrum for the selected points: O1 (<b>a</b>), E1 (<b>b</b>), I1 (<b>c</b>), O2 (<b>d</b>), E2 (<b>e</b>), and I2 (<b>f</b>).</p> "> Figure 7 Cont.
<p>W2 wave: signal of the turbulent streamwise velocity <span class="html-italic">u’</span>(<span class="html-italic">t</span>), spectrogram of <span class="html-italic">u’</span>(<span class="html-italic">t</span>), and global wavelet spectrum for the selected points: O1 (<b>a</b>), E1 (<b>b</b>), I1 (<b>c</b>), O2 (<b>d</b>), E2 (<b>e</b>), and I2 (<b>f</b>).</p> "> Figure 8
<p>W1 wave: signal of the turbulent streamwise velocity <span class="html-italic">u’</span>(<span class="html-italic">t</span>), spectrogram of <span class="html-italic">u’</span>(<span class="html-italic">t</span>), and global wavelet spectrum for the selected point E3.</p> ">
Abstract
:1. Introduction
2. Materials and Methods
2.1. Experimental Equipment and Procedure
2.2. Theoretical Background for Waves Description
3. Results and Discussion
3.1. Analytical Characterization of the Experimental Waves
3.2. Upstream Vertical Profiles of the Streamwise Velocity
3.3. Downstream Horizontal Maps of Streamwise Velocity and Vorticity
3.4. Turbulent Coherent Structures
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
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Test | H [m] | T [s] | L [m] | Ur [–] |
---|---|---|---|---|
W1 | 0.025 | 20 | 32 | 80 |
W2 | 0.05 | 19 | 25 | 125 |
PER | WH | BOU | LIN | |
---|---|---|---|---|
W1 trough | 0.95 | 0.97 | 0.90 | 0.86 |
W1 crest | 0.94 | 0.95 | 0.86 | 0.70 |
W2 trough | 0.87 | 0.91 | 0.80 | 0.80 |
W2 crest | 0.99 | 0.98 | 0.98 | 0.92 |
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Basile, R.; De Serio, F. Flow Field around a Vertical Cylinder in Presence of Long Waves: An Experimental Study. Water 2022, 14, 1945. https://doi.org/10.3390/w14121945
Basile R, De Serio F. Flow Field around a Vertical Cylinder in Presence of Long Waves: An Experimental Study. Water. 2022; 14(12):1945. https://doi.org/10.3390/w14121945
Chicago/Turabian StyleBasile, Rosangela, and Francesca De Serio. 2022. "Flow Field around a Vertical Cylinder in Presence of Long Waves: An Experimental Study" Water 14, no. 12: 1945. https://doi.org/10.3390/w14121945