Abstract
Symbols
R
The Reynolds number with respect to the cylinder.
Re
The Reynolds number with respect to the particle.
Re
0
The Reynolds number with respect to the particle when the latter is held at rest in the undisturbed air stream.
ψ
Drag coefficient of the particle.
x', y', t'
Spatial co-ordinates and time.
x, y, t
Dimensionless co-ordinates and time.
q
'(
u', v'
) Particle velocity and resolutes.
q
(
u, v
) Dimensionless velocity and resolutes.
Q
'(
U', V'
) Fluid velocity and resolutes.
Q
(
U, V
) Dimensionless velocity and resolutes.
U
0
Velocity of undisturbed flow stream.
r, m
Radius and mass of particle.
σ, η, v
Density, viscosity and kinematic viscosity of fluid.
R
Radius of cylinder.
P
Particle parameter,
mU
0
/6
πrη
R
, equal to the distance the particle will travel before coming to rest when launched with velocity
U
0
into stationary fluid.
x
i
,
y
i
Starting co-ordinates of a trajectory (dimensionless).
y
0
Ordinate of a trajectory a great distance upstream from the cylinder (dimensionless).
r
c
Critical radius of particle which just touches the cylinder.
E
Collision efficiency. d
u
/d
x
Retardation of a particle approaching the cylinder on the
x
-axis. (d
u
/d
x
)
8
The same at the instant of impact.
u
8
The impact velocity of a particle on the
x
-axis (dimensionless).
θ
Polar co-ordinate of point of contact.
N
Number of particles per unit volume of fluid at a great distance from the cylinder. ψ Stream function of flow field.
γ
Euler’s constant.
K
0
,
K
1
Bessel functions.
v
s
Rate of fall of particle under gravity.
g
Acceleration due to gravity.
Reference27 articles.
1. Albrecht F. 1931 Phys. Z.32 48.
2. Brun E. Caron R. & Vasseur M. 1945 Rapp. Rech. aero. no. 15.
3. Brun E. Demon L. & Vasseur M. 1948 Rech. aero. 1 15.
4. Indian J;Das P. K.;Met. Geophys,1950
5. Davies C. N. 1939 Dissertation University of London p. 64.
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