1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Minimising wave drag for free surface flow past a two-dimensional stern
Rent:
Rent this article for
USD
10.1063/1.3609284
/content/aip/journal/pof2/23/7/10.1063/1.3609284
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/7/10.1063/1.3609284
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Free surface profiles drawn for the plate shape (36) with F = 0.5, P = 0.01, b = 1 and L = 1. (a) Linear solutions with a = 0 (solid black), 1.5 (green dashed), 3 (red solid), and 4.5 (blue dotted). (b) Nonlinear solutions for a = 0, 0.701, 1.401, 2.502, 2.802, 3.152 (blue thick), 4.153, 4.553, 5.674, 6.445, and 7.150.

Image of FIG. 2.
FIG. 2.

(Color online) The dependence of the wave amplitude A on the parameter a for the plate shape (36) with F = 0.5, P = 0.01, b = 1, L = 1. The (red) solid curve, (black) dashed curve and (blue) dot-dashed curve correspond to fully nonlinear, linear, and weakly nonlinear solutions, respectively.

Image of FIG. 3.
FIG. 3.

(Color online) The dependence of the wave amplitude A on the parameter α for the plate shape (6) with F = 0.9, P = 0.01. The (red) solid curve, (black) dashed curve, and (blue) dot-dashed curve correspond to the fully nonlinear, linear, and weakly nonlinear solutions, respectively. In (a) the scale is such that the nonlinear amplitude appears to vanish at a value of α, but the scale in (b) suggests there is in fact a local minimum for which A is finite but small. Note that the fully nonlinear results in (b) have been compiled using data from 280 separate numerical solutions.

Image of FIG. 4.
FIG. 4.

(Color online) Nonlinear free surface profiles drawn for F = 0.9 and P = 0.01 for the plate shape (6). (a) and (b) has α = 0.019, 0.0655 (both red) and 0.0427 (blue and thick). (c) has α = 0.0393, 0.0404, 0.0416, 0.0438, 0.0450, 0.0461 (all red), and 0.0427 (blue and thick).

Image of FIG. 5.
FIG. 5.

(Color online) The dependence of the wave amplitude A on the parameter α for the plate shape (6) with F = 0.5, P = 0.04. The (red) solid curve, (black) dashed curve, and (blue) dot-dashed curved correspond to the fully nonlinear, linear, and weakly nonlinear solutions, respectively.

Image of FIG. 6.
FIG. 6.

(Color online) The dependence of the nonlinear wave amplitude A on the parameter β for the plate shape (7) with F = 0.9 and P = 0.01. From top to bottom, the curves are for α = 0.05, 0.04, and 0.0427.

Image of FIG. 7.
FIG. 7.

(Color online) The dependence of the wave amplitude A on the parameter β for the plate shape (7) with F = 0.5, P = 0.04, and α = 0.05268. The (red) solid curve and (black) dashed curve correspond to the fully nonlinear and linear solutions, respectively.

Image of FIG. 8.
FIG. 8.

(Color online) Nonlinear free surface profiles drawn for F = 0.5 and P = 0.04 for the plate shape (7) with α = 0.0527 and β = ±0.004, ± 0.003, ± 0.002 (all red), and 0.0004 (blue and thick).

Loading

Article metrics loading...

/content/aip/journal/pof2/23/7/10.1063/1.3609284
2011-07-21
2014-04-17
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Minimising wave drag for free surface flow past a two-dimensional stern
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/7/10.1063/1.3609284
10.1063/1.3609284
SEARCH_EXPAND_ITEM