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Hydrodynamic studies on two traveling wavy foils in tandem arrangement
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10.1063/1.2814259
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Affiliations:
1 School of Aeronautics and Astronautics, The State Key Lab of Fluid Power Transmission and Control, Zhejiang University, Hangzhou, 310027, People's Republic of China
a) Author to whom correspondence should be addressed. Telephone: +86-571-87953168. Electronic mail: zjudengjian@zju.edu.cn.
Phys. Fluids 19, 113104 (2007)
/content/aip/journal/pof2/19/11/10.1063/1.2814259
http://aip.metastore.ingenta.com/content/aip/journal/pof2/19/11/10.1063/1.2814259

## Figures

FIG. 1.

(a) Physical model of the two-foil structure and definition of the coordinate system. (b) Dimensions of the computational domain.

FIG. 2.

Illustration of a Lagrangian point and the surrounding virtual points.

FIG. 3.

Description of the boundary topology with interface markers.

FIG. 4.

Schematic of an oscillating cylinder in uniform flow ( denotes the cylinder diameter).

FIG. 5.

Lift and drag coefficients time history at for the flow around a stationary circular cylinder.

FIG. 6.

Wake structure for : (a) , numerical results; (b) , experiments (see Ref. 31); (c) , numerical results; and (d) , experiments (see Ref. 31).

FIG. 7.

Time-averaged drag efficient and efficiency vs for : (a) mean drag efficient and (b) efficiency (see Ref. 34).

FIG. 8.

Time-averaged drag coefficient vs member spacing for case T1. Symbols --, --, and -- denote , , and , respectively, for upstream fish. Symbols --, -○-, and -- denote , , and , respectively, for downstream fish. Solid line: for case S1. Dashed line: for case S1. Dash dotted line: for case S1.

FIG. 9.

Time-averaged drag coefficient vs member spacing for case T2. Symbols --, --, and -- denote , , and , respectively, for upstream fish. Symbols --, -○-, and -- denote , , and , respectively, for downstream fish. Solid line: for case S2. Dashed line: for case S2. Dash-dotted line: for case S2.

FIG. 10.

Time-averaged drag coefficient vs member spacing for case T3. Symbols --, --, and -- denote , , and , respectively, for upstream fish. Symbols --, -○-, and -- denote , , and , respectively, for downstream fish. Solid line: for case S3. Dashed line: for case S3. Dash-dotted line: for case S3.

FIG. 11.

Vorticity contours over one period in case T3 (the solid lines denote positive values, the dashed line denote negative values, and “LR” denotes the lower-pressure region induced by the vortex shedding from the upstream fish). (a)–(d) Four sequential images with the time interval for . (e)–(h) Four sequential images with the time interval for .

FIG. 12.

Mean -component velocities along the axis in the wake of an isolated fish for three different cases.

FIG. 13.

Mean pressure coefficient profiles in the near wake of the upstream fish for various member spacings in (a) case T1 and (b) case T3.

FIG. 14.

Efficiency vs member spacing. Dashed line denotes the efficiency of a single fish; symbol --, the efficiency of upstream fish; --, the efficiency of downstream fish; and -○-, the overall efficiency of the two-fish system. (a) Case T1, (b) case T2, and (c) case T3.

FIG. 15.

Overall efficiency of the two-fish system vs member spacing: Symbol -- for case T4; -▴- for case T5; and -○- for case T6.

## Tables

Table I.

Simulation parameters in the case of two fish .

Table II.

Simulation results for a single fish.

/content/aip/journal/pof2/19/11/10.1063/1.2814259
2007-11-26
2014-04-23

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Scitation: Hydrodynamic studies on two traveling wavy foils in tandem arrangement
http://aip.metastore.ingenta.com/content/aip/journal/pof2/19/11/10.1063/1.2814259
10.1063/1.2814259
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