1981 年 97 巻 1118 号 p. 239-243
In this paper a one-dimensional fully established annular flow analysis on a drag coefficient of the hindered-settling cylindrical capsule could be developed and compared with the results of the boundary layer theory on a drag coefficient of the freely-suspended capsuleas described before and experimental results for various factors of capsule which were falling through transparent and vertical tube filled with water.
A drag coefficient could be proved hydrodynamically as follows;Cds {1-(l/2/d-1) 2} +16l (1/2/d-1)(3-1/d/2)/Rem {1n (1/2/d)(1/2/d+1)-(1/2/d+1)-(1/2/d+1)-(1/2/d-1)}
d;diameter of capsule
D;diameter of pipe
d;the capsule/pipe diameter
ν;kinematic viscosity of the fluid
T;the capsule length/diameter
Rem;Reynolds number Usmd/v
Usm;superficial mean velocity of the hindered-settling capsule
A drag coefficient characteristics curve obtained from the above equation could be applicable for the characteristics number 0.02<l/(1/d-1) 2Rem<0.08.