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[Qe+maha ,e+mvhv ,e+mhhh ,e−Q perd−mm · hm ](t)mm(t) ((cp , a+ωf (t )c p , v )−Rm(t))
=d [T s(t)]dt
[Qe−44.024838 (T s−T e)+1.005 maT e+1.82mv T e+72.8 mh−mmT s ( 1.005+1.82ωs ) ]mm ((1.005+1.82ωs )−0.287 (1+0.6ωs ))
=d [T s(t)]dt
Qe (t )−44.024838T s+44.024838T e+1.005 maT e+1.82mv T e+72.8 mh−mmT s (1.005+1.82ωs )mm ( (1.005+1.82ωs )−0.287 ( 1+0.6ωs ))
=d [T s(t)]dt
Se definen constantes:
Humedad relativa de entrada: ϕe=0.5
Humedad relativa final: ϕf=0.5
Caudal de aire: ma=20.028107
Caudal de vapor: mv=0.1453
Caudal de humidificador: mh=0.3622
Caudal de mezcla: mm=20.54
Humedad específica a la salida: ωs=0.02534
Qe ( t )−65.614822T s(t)+64.417531Te+26.3681615.605368
=d [T s(t)]dt
Qe ( t )15.605368
−65.614822T s (t )
15.605368+
64.417531T e15.605368
+ 26.3681615.605368
=d [T s(t) ]dt
En condiciones iniciales definidas:
Temperatura a la entrada: T e=20
Temperatura a la salida en el instante 0: T s (0 )=20
Qe ( t )15.605368
−65.614822T s ( t )
15.605368+1288.35062
15.605368+ 26.36816
15.605368=d [T s(t) ]dt
Qe ( t )15.605368
−65.614822T s ( t )
15.605368+8 4 .247855=
d [T s(t )]dt
d [T s( t)]dt
+65.614822T s (t )
15.605368−84.247855=
Qe ( t )15.605368
L[ d [T s(t )]dt
+65.614822T s (t )
15.605368−84.247855]=T (s )=4.204
s2 −83 .247855
s
L[ Q e (t )15.605368 ]=Q (s )=0.064081
s2
G (s )=T(s )
Q (s )=
4.204
s2−83.247855
s
0.064081s2
G (s )=T(s )
Q (s )=
4.204−83.247855 s
s2
0.064081s2
G (s )=T (s )Q (s )
=4.204−83.247855 s0.064081
Temperatura a la entrada: T e=25
Qe ( t )15.605368
−65.614822T s (t )
15.605368+1610.438275
15.605368+ 26.36816
15.605368=d [T s(t )]dt
Qe ( t )15.605368
−65.614822T s ( t )
15.605368+104.887398=
d [T s(t)]dt
d [T s( t)]dt
+65.614822T s (t )
15.605368−104.887398=
Qe ( t )15.605368
L[ d [T s(t )]dt
+65.614822T s (t )
15.605368−84.247855]=T (s )=4.204
s2 −83.247855
s
L[ Q e ( t )15.605368 ]=Q (s )=0.064081
s2
G (s )=T(s )
Q (s )=
4.204
s2−83.247855
s
0.064081s2
G (s )=T(s )
Q (s )=
4.204−83.247855 s
s2
0.064081s2
G (s )=T (s )Q (s )
=4.204−83.247855 s0.064081
Temperatura a la entrada: T e=30
Qe ( t )15.605368
−65.614822T s ( t )
15.605368+1932.52593
15.605368+ 26.36816
15.605368=d [T s(t )]dt
Qe ( t )15.605368
−65.614822T s ( t )
15.605368+125.526941=
d [T s( t)]dt
d [T s( t)]dt
+65.614822T s (t )
15.605368−125.526941=
Qe ( t )15.605368
L[ d [T s(t )]dt
+65.614822T s (t )
15.605368−84.247855]=T (s )=4.204
s2 −83.247855
s
L[ Q e (t )15.605368 ]=Q (s )=0.064081
s2
G (s )=T(s )
Q (s )=
4.204
s2−83.247855
s
0.064081s2
G (s )=T(s )
Q (s )=
4.204−83.247855 s
s2
0.064081s2
G (s )=T (s )Q (s )
=4.204−83.247855 s0.064081
Temperatura a la entrada: T e=35
Qe ( t )15.605368
−65.614822T s (t )
15.605368+2253.613585
15.605368+ 26.36816
15.605368=d [T s(t )]dt
Qe ( t )15.605368
−65.614822T s ( t )
15.605368+146.102403=
d [T s(t)]dt
d [T s( t)]dt
+65.614822T s (t )
15.605368−146.102403=
Qe ( t )15.605368
L[ d [T s(t )]dt
+65.614822T s (t )
15.605368−84.247855]=T (s )=4.204
s2 −83.247855
s
L[ Q e ( t )15.605368 ]=Q (s )=0.064081
s2
G (s )=T(s )
Q (s )=
4.204
s2−83.247855
s
0.064081s2
G (s )=T(s )
Q (s )=
4.204−83.247855 s
s2
0.064081s2
G (s )=T (s )Q (s )
=4.204−83.247855 s0.064081
Temperatura a la entrada: T e=40
Qe ( t )15.605368
−65.614822T s ( t )
15.605368+2576.70124
15.605368+ 26.36816
15.605368=d [T s(t)]dt
Qe ( t )15.605368
−65.614822T s ( t )
15.605368+166.806026=
d [T s(t)]dt
d [T s( t)]dt
+65.614822T s (t )
15.605368−166.806026=
Qe (t )15.605368
L[ d [T s(t )]dt
+65.614822T s (t )
15.605368−84.247855]=T (s )=4.204
s2 −83.247855
s
L[ Q e ( t )15.605368 ]=Q (s )=0.064081
s2
G (s )=T(s )
Q (s )=
4.204
s2−83.247855
s
0.064081s2
G (s )=T(s )
Q (s )=
4.204−83.247855 s
s2
0.064081s2
G (s )=T (s )Q (s )
=4.204−83.247855 s0.064081
