Industrial Air Quality and Ventilation

149The Aerodynamics of Solid-Particle Jets

© 2010 Taylor & Francis Group, LLC

Given a known longitudinal component of velocity vector, the ow of injected air

can be determined by integrating along the OY axis:

qu

dy qQcl

ExE

y

E

=≡

∫

∞

2

0

,/().

(4.121)

Owing to Equations 4.10 and 4.11,

d

yaxdz bdz

tt

==

−−

1 ν

,

(4.122)

and considering Equation 4.104, we would end up with

qbu

E

= 2

0

ζ,

(4.123)

where

u

D

x

0

1

2

2

1

=

+

+

γ

γ

(4.124)

or

q

bu

Q

Bcu

EE

22

00

==

ζ

.

(4.125)

Therefore, ζ is specically the relative airow in a 2z wide jet. The total ow rate

of the injected air would be equal to

Q Bcu

E

=

∞

2

0

ζ

, (4.126)

where

ζ ζ

∞

→∞

= lim

z

. (4.127)

Let us illustrate another possible way of deriving ...