February 2014
Intermediate to advanced
417 pages
14h 51m
English
book
Industrial Air Quality and Ventilation
by Ivan Nikolayevich Logachev, Konstantin Ivanovich Logachev
Content preview from Industrial Air Quality and Ventilation
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124 Industrial Air Quality and Ventilation
© 2010 Taylor & Francis Group, LLC
Taking into account Equation 3.256, we obtain the second boundary condition:
∂
∂
=
=
=
P
x
k
v
xl
m
xl
βψρ
12
1
2
2
, (3.258)
which can be written as follows (keeping Equation 3.239 and 3.249 in mind) after
some transformations:
∂
∂
=
−
⋅+
=
∞∞
p
x
P
l
n
n
n
l
l
n
vt
l
xl
l
2
1
2
2
1
cos
cossin
π
π
ππ
PP
l
n
n
n
l
l
n
vt
l
l
nn=
∞
∞∞
=
∞
∑∑
−
1
1
1
1cos
sincos
.
π
π
ππ
(3.259)
Thus, we have to solve the following inhomogeneous differential partial equa-
tion with second-order partial derivatives [68] with the initial conditions (Equations
3.251 and 3.254) and the boundary conditions (Equations 3.255 and 3.259)
∂
∂
=
∂
∂
−−⋅
∞∞
2
2
2
2
2
2
1
P
t
v
P
x
v
P
ll
nn
x
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