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Quantitative measurements with small models of ships in a circulating water channel

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Abstract

The distributions of velocity and their fluctuations, the steady wave of free surface and the presence of air bubbles can significantly influence the extent to which useful resistance measurements can be obtained from ship models in circulating water channels. This paper describes a. circulating water channel and experimental techniques which allowed accurate measurements of the resistance of small models and the extrapolation of the results to ship hulls.

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Abbreviations

A AM :

midship section area of ship model

B :

breadth of ship model

C h :

block coefficient, ∇/(L pp · B · d)

C p prismatic coefficient, ∇/(L pp · A M ):

C M

midship section coefficient, A M /(B · d):

C r total resistance coefficient of ship model, R r /(1/2 ϱ V 2 S)

C f :

frictional resistance coefficient of equivalent flat plate, R f /(/12 ϱ V 2 S)

d :

draft of ship model

Fn:

Froude number, V/\(\sqrt {L_{pp} \cdot g} \)

F.P.:

fore perpendicular of ship model (leading edge of water plane of ship model)

f w :

correlation function referred to wave resistance

g :

gravity acceleration

H :

depth of water in the working section

H w :

height of the steady wave of free surface in the working section

K :

form factor of ship model

l :

distance from a flexible sheet to the leading edge of water plane of ship model (F.P.)

L pp :

length between perpendicular of ship model

Rn:

Rynolds number,(V· L pp )/v

R l :

total resistance

R 10 :

total resistance corrected to mean gradient of free surface in the working section

R w :

wave resistance

R r :

residual resistance

R f :

frictional resistance of equivalent flat plate

r t :

total resistance coefficient, R t /(ϱ V 2 V 2/3)

r R :

residual resistance coefficient, R r /(ϱ V 2 V 2/3)

r f :

frictional resistance coefficient of equivalent flat plate, R f /(g V 2 V 2/3)

r w :

wave resistance coefficient, R w /(ϱ V 2 V 2/3)

S :

wetted surface of ship model

S u :

amplitude of the fluctuation of free surface in the working section

T :

period of the fluctuation of free surface in the working section

V :

mean velocity in the working section

V′ :

flow velocity at an arbitrary position

Δ :

displacement weight of ship model

∇:

displacement volume of ship model

β :

correlation function referred to form factor

0 :

mean gradient of free surface in the working section

λ:

wave length of steady wave of free surface in the working section

ν:

kinematic viscosity

λ :

wave elevation of free surface in the working section

ϱ:

density

L :

large ship model

S :

small ship model

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Authors and Affiliations

  1. West Japan Fluid Engineering Laboratory Co., Ltd., Tanagata-cho 283, 858, Sasebo-shi, Japan

    M. Tamashima, S. Matsui & M. Ogura

Authors
  1. M. Tamashima
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  2. S. Matsui
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  3. M. Ogura
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Tamashima, M., Matsui, S. & Ogura, M. Quantitative measurements with small models of ships in a circulating water channel. Experiments in Fluids 1, 135–142 (1983). https://doi.org/10.1007/BF00272012

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  • DOI: https://doi.org/10.1007/BF00272012

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