Industrial Air Quality and Ventilation

144 Industrial Air Quality and Ventilation

© 2010 Taylor & Francis Group, LLC

would result from Equation 4.71 by integrating all summands over the cross-section

of the jet with the following boundary conditions:

u

u

y

y

y

x

=

∂

∂

==

000, 

;

at (4.75)

u

u

y

y

x

x

=

∂

∂

=→

∞00, 

.

at (4.76)

The integral relation would be similar for an axially symmetric jet:

∂

∂

=− −

()

−

∂

∂

∞∞∞

∫∫

∫

x

urdr vu vurdr

x

rdr

xx

n

x

2

000

β

ε

Ρ

.. (4.77)

4.1.2 struCture of aIr streams In a flat jet of loose matter

4.1.2.1 Self-Similar Motion Equations

With the purpose of determining the velocity eld and streamlines in a jet of injected

air, we shall resort to the afne transformation method accepted i ...