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1957 ITTC model ship correlation line values of frictional resistance coefficient

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ARCHIEF

See note inside cover

Lab.

y.

Scheepsbouwkunde

Technische Hogeschool

Ship Report 142

DeIft

June 1970

National

Physical

Laboratory

Ship Division

1957 ITTC MODEL-SHIP

CORRELATION LINE VALUES

OF

FRICTIONAL RESISTANCE

COEFFICIENT

by A.Morrall

(2)

1957 ITTC MODEL-SHIP CORRELATION LINE

VALUES OF FRICTIONAL RESISTANCE COEFFICIENT

by

A. Morrall

Introduction

The advantages to be gained by using tabulated values of frictional

resistance coefficients from the 1957 ITTC model-ship correlation line for

given Reynolds number, become apparent when executing ITTC resistance and

propulsion analysis.

These tables enable values of the coefficient to be

obtained readily, without the use of logarithmic tables.

The frictional resistance coefficient referred to is given by the

following expression:

0.075

CF

=

(in

R

_2)2

10

n

In the original version of these tables published as Ship Technical

Memorandum No.261 in January 1970, coefficients were

iven to four significant

figures for a range of Reynolds number from lO5 to 109.

As the computer

rounding of the last significant figure is not always reliable the values have

been extended to six significant figures and it is suggested that not more

than five should be used.

In publishing this revised version the opportunity has been taken to

extend the values of Reynolds number to include the 1O

range.

Computation of the tables

The values of the coefficient were computed for a range of Reynolds

number considered to cover all possible combinations of velocity, length and

kinematic viscosity for both model and ship, viz.,

range of Reynolds number:

lO

R

101O

The computations were performed on the NFL KDF9 computer and the values

are given in Tables .1 to 6.

Example in use of the tables

Length of model

L

4.277ni

Speed of model

V

l.5in/s

Kinematic viscosity (F.W.)

1.13902 cSt at 15°C

(3)

VP

-2-To obtain the frictional resistance coefficient for this model first

evaluate the Reynolds number.

Model

R

=

=

1.5 rn/s x )4.277m/l.13902 cSt

1.5 rn/s X X

1.13902 m2/s

=

5.62 x

106

For this Reynolds number we obtain from Table 2:

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