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
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
4.277niSpeed of model
V
l.5in/sKinematic viscosity (F.W.)
1.13902 cSt at 15°C
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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