
139The Aerodynamics of Solid-Particle Jets
© 2010 Taylor & Francis Group, LLC
FDxuve
yx
z
y
1/
(4.31)
where
tn
t
+βεγν
2
/;
(4.32)
with
In case of an axially symmetric ow
xe uv
x
z
x
x
t
=−−
−γ
/(
(4.33)
xe uvuvzrb
y
z
x
r
1/ /,
(4.34)
where
tn
t
+βεγν
0
2
222/;
(4.35)
4.1.1.3 Fluid Dynamics Equations
We will now put together the dynamics equations for air injected by a ow of falling
particles, and we will consider a quasi-stationary turbulent ow, basing the dynamics
equation on the impulse transfer equation (85) from the Appendix. Our scope will
be narrowed down to ows with volumetric concentrations o