
164 Industrial Air Quality and Ventilation
© 2010 Taylor & Francis Group, LLC
TABLE 4.3 (Continued)
Solutions to Equation for Air Injection Induced by Solid Material Jet with
Uniformly Distributed Particles (One-Dimensional Problem)
No Differential Equations Solutions
6. Replacing the right side of Equation
4.190
υ
υ
0
2
2
0
2
1
u
u
−
()
where
is the average value of ow
velocity, we end up with
υ
υ
ϕ
βυ
ϕυ
+=
==
d
d
P
1
2
,
,
e
u/ ,
0
0
= u
/
nl
υ
υ
ϕ
ϕ
ϕ
ϕ
000
1
2
=−
+
+
−
+
+
P
a
a
a
c
c
c
ere
P
c
P
=−
=−
With
υ
υ
υ
ϕϕ υ
=
+
−+
∗
∗
∗
∗
05
05 1
1051
105
,
,
exp,
ln /,
(
−
−
∗
∗
05 1
210
4
,
ln
υ
υ
Relative error of this formula ...