Page 66 - Fluid-Structure Interactions Slender Structure and Axial Flow (Volume 1)

CONCEPTS, DEFINITIONS AND METHODS 49

1 2 4 6 810 20 40
(a) R, IR;

IO
8
L
6 c
4

2

I .o
0.8
- 0.6
s
= 0.4
I
9
I
II
0” 0.2
0.10
0.08
0.06
0.04
0.02 t\

50000
0.01 I I I I I1111 I I I I IIII
I 2 4 6 8 IO 20 40 60 80100
(b) R,,4
Figure 2.9 (a) The real and (b) negative of the imaginary part of H, given by equation (2.151),
equal to the added mass and viscous damping coefficient, respectively, for a cylinder of radius Ri
oscillating with frequency G? in a viscous fluid within a coaxial rigid cylinder of radius Ro, for a
number of values of the Stokes number, S = ORf/u. From Chen et af . ( 1976).