Free-surface pressure distributions with minimum wave resistance

Tuck, E. O.; Lazauskas, L.

doi:10.21914/anziamj.v43i0.467

Cited by 7 publications

(4 citation statements)

References 9 publications

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“…This configuration, including the choice of the central void as 42.8% of the length, was arrived at by trial and error as one having low wavemaking characteristics, with a wave resistance at F = 1/ √ 2 that is only 55% of that for a constant pressure having the same net lift. A more systematic search for pressure distributions with low wave resistance is reported elsewhere [15]. Figure 7 shows the resulting free-surface elevations in the region around the patch.…”

Section: Results For Non-uniform Pressuresmentioning

confidence: 95%

Free-surface elevation due to moving pressure distributions in three dimensions

Scullen¹,

Tuck²

2010

J Eng Math

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An efficient and accurate technique is described for computing the linearised free-surface disturbance of a travelling pressure distribution. The flow is decomposed into local and far-field components which can then be treated and calculated separately. A method for desingularising the local-field integrand so that the free-surface elevation can be calculated beneath the applied pressure patch is presented. Near-field and far-field results are given for constant-pressure rectangular patches, and for non-uniform pressure distributions, including examples with both smooth and singular edge behaviour.

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Section: Results For Non-uniform Pressuresmentioning

confidence: 95%

Free-surface elevation due to moving pressure distributions in three dimensions

Scullen¹,

Tuck²

2010

J Eng Math

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“…which is uniquely solvable under condition (4). It can be verified by direct calculation that the recurrent condition (18) holds for the functions defined by (25) with u mk satisfying (27).…”

Section: Formal Asymptotic Expansionmentioning

confidence: 86%

“…[1]). Ignoring details of the air flow, a hovercraft may be modelled by the forward motion of a prescribed pressure distribution (see [2][3][4] and references cited therein). Then the waves generated in water are described within the framework of the linearized theory by an initial-boundary-value problem (see [5,Introduction and Part 3]).…”

Section: Introduction: Statement Of the Problemmentioning

confidence: 99%

Asymptotic analysis of rapid forward accelerations of a free-surface pressure

Kuznetsov

2006

J Eng Math

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Linear unsteady water waves due to a pressure distribution in the forward motion over the free surface of an inviscid, incompressible, heavy fluid are considered. The motion of pressure system is assumed to be rectilinear and non-uniform starting from rest. The effect of a rapid acceleration is analysed asymptotically. A two-scale expansion is developed for the velocity potential, and estimates for the remainder are established. Hydrodynamic corollaries are derived from the asymptotics obtained. In particular, it is shown how the resistance, which is the horizontal component of the fluid's reaction to the system's motion, depends on the bottom topography varying in the direction of motion.

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“…Despite this, the Lagrange-Multiplier method could generate practical pressure distributions for useful parts of the speed range that led to a vastly reduced wave resistance. The GA was also applied by Tuck and Lazauskas (2001), who were able to confirm the work of Doctors and also to create even more useful pressure distributions.…”

Section: Introductionmentioning

confidence: 99%

Resistance of a Compartmented Surface-Effect Ship

Day

Clelland

Doctors

et al. 2010

Journal of Ship Production and Design

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A series of carefully controlled experiments on the resistance of a model of a compartmented surface-effect ship has been conducted in a towing tank. Configurations of the model included cases encompassing one subcushion and two subcushions, as well as differing values of the pressures in the subcushions. It was shown that a reduced total resistance in the appropriate range of Froude number could be achieved in this manner. Furthermore, the previously developed theory for the resistance of a surface-effect ship was verified for the model for a Froude number greater than 0.40.

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Free-surface pressure distributions with minimum wave resistance

Cited by 7 publications

References 9 publications

Free-surface elevation due to moving pressure distributions in three dimensions

Free-surface elevation due to moving pressure distributions in three dimensions

Asymptotic analysis of rapid forward accelerations of a free-surface pressure

Resistance of a Compartmented Surface-Effect Ship

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