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Sound generation due to unsteady motion of a cylinder
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10.1063/1.3579489
/content/aip/journal/pof2/23/4/10.1063/1.3579489
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/4/10.1063/1.3579489

Figures

Image of FIG. 1.
FIG. 1.

Schematic of the coordinate system used. Direction of motion of the cylinder is in the direction.

Image of FIG. 2.
FIG. 2.

Prescribed velocity to the cylinder as a function of time. Shown for the case and .

Image of FIG. 3.
FIG. 3.

Contours of vorticity and dilatation shown for , , and . Both are nondimensionalized by : (a) , (b) , (c) , and (d) . Vorticity contours in color from −1 (blue) to 1 (red) in steps of 0.02. Dilatation (negative in solid line and positive in dotted line) plotted from −0.1 to 0.1 in steps of 0.025.

Image of FIG. 4.
FIG. 4.

Stream traces behind the cylinder at various Reynolds numbers. (a) Bulging of stream traces shown for case B. , , and . (b) Formation of an isolated vortex, the same case as in (a) and . (c) Vortex structure for case C: , , and . (d) Vortex structure for case D: , , and .

Image of FIG. 5.
FIG. 5.

Variation of streamwise velocity along the axis of motion on the rear side at various time instants. Solid line: present calculation; symbols: experimental data of Bouard and Coutanceau (Ref. 14): (△) , (○) , and . (a) for , , and . (b) for , , and .

Image of FIG. 6.
FIG. 6.

Evolution of drag coefficients with time for different values of but fixed and . Total drag: solid line; pressure drag: dashed line; viscous drag: dashed dotted line. (a) (b) .

Image of FIG. 7.
FIG. 7.

Variation of peak pressure drag and peak total drag . (a) Variation with for , . Total drag: -△- ; pressure drag: -○-. (b) Variation with for and . Total drag: -△-; pressure drag: -○-. (c) Variation of total drag with . , : -△-; , : -◻-; and , : . Total drag for , : . Dotted line: Reference line with slopes 1 and 2.

Image of FIG. 8.
FIG. 8.

Wall vorticity at different time instants for , , and . : dotted line; : dashed line; : -△-; : dashed dotted line; : -◻-; and : solid line.

Image of FIG. 9.
FIG. 9.

(a) Normal pressure gradient at the wall at different time instants; (b) Tangential pressure gradient at the wall at different time instants. Legend: the same as in Fig. 8.

Image of FIG. 10.
FIG. 10.

Comparison of wall vorticity for different at different time instants. , , and : dotted line; , , and : dashed line; , , and : solid line; , , and : dashed dotted line. (a) at and (b) at .

Image of FIG. 11.
FIG. 11.

Contours of density, , plotted between −0.1 and 0.1 are shown in column (i). Contours of energy components, , , and plotted between and 0.03 are shown in columns (ii)–(iv), respectively. Row (a) corresponds to , (b) to , and (c) to . Shown for case , , and .

Image of FIG. 12.
FIG. 12.

(a) Energy budget implied by time integrated form of Eq. (9) is shown for cases with , , (upper curve) and 3000 (lower curve). : solid line; other terms in Eq. (9): dashed dotted line. (b) Evolution of acoustic and entropy energy fluxes with time is shown for , , and two values of . for : solid line; for : dashed line; for : -△-; for : -◻-. (c) Evolution of kinetic , potential , and entropy energies with time is shown for , , and two values of . for : solid line; for : dashed line; for : -△-; for : -◻-; for : dashed dotted line; for : dotted line. All calculations are shown for control surface location .

Image of FIG. 13.
FIG. 13.

Variation of total acoustic energy, , in the far-field. (a) Variation with for and . (b) Variation with for , (lower curve) and 0.3 (upper curve). (c) Scaling with . , : -○-; , : -◻-; , : -△-; , : -◁-; , : dashed dotted line with circles. Dotted line: Reference lines of slope 2 and 4.

Image of FIG. 14.
FIG. 14.

Energy balance shown for control surface location . Legend: the same as in Figs. 12(b) and 12(c). (a) Surface integral terms. (b) Volume integral terms.

Tables

Generic image for table
Table I.

Mesh parameters for conditions of the simulations presented.

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/content/aip/journal/pof2/23/4/10.1063/1.3579489
2011-04-27
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Sound generation due to unsteady motion of a cylinder
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/4/10.1063/1.3579489
10.1063/1.3579489
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