EXAMEN DE VENTILACIO VISTA DE PLANTA A 20000 B 5E-09 10000 20000 5E-09 5E-09 MALLA III F 10000 7E-09 E 10000 2E-09 MALLA I 0.00000001 H 10000 NM = NB - NN +1 NN = 5 NB = 7 NMalla = 3 malla 1 : 2.95E-08 malla 2 : 2.8E-08 malla 3 : 2.2E-08
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EXAMEN DE VENTILACION :
VISTA DE PLANTA Q =R =
A 20000 B0.000000005
10000
20000 5E-09 5E-09MALLA III
F 100000.000000007 E
10000
2E-09 MALLA I
0.00000001H 10000
NM = NB - NN +1
NN = 5NB = 7
NMalla = 3
malla 1 : 2.95E-08malla 2 : 0.000000028malla 3 : 0.000000022
40000 CFMpul-min^2/ft^6 PRIMERA ITERACION
10000 C MALLA I R=pul-min^2/ft^60.00000001 FE 0.000000007
ED 0.000000008FHG 0.000000012DG 0.0000000025
MALLA II 5E-0910000
Q =Δ -5823.5294117647120000 D
8E-09 MALLA II R=pul-min^2/ft^6BCD 0.000000015ED 0.000000008
2.5E-09 BE 0.000000005
30000
40000Q =Δ 969.62
G
MALLA III R=pul-min^2/ft^6BAF 0.00000001FE 0.000000007BE 0.000000005
Q =Δ 6768.47
∆𝑸=−(∑▒〖𝑹𝑸 |𝑸|〗 )/(∑▒〖𝟐𝑹 |𝑸|〗 )
VISTA DE PLANTA
A 200000.000000005
20000 0.000000005MALLA III
F 100000.000000007
10000
0.000000002
H
QoCFM H=RQ|Q| 2R|Q| Q Corregido10000 0.7 0.00014 4176.470588220000 3.2 0.00032 14176.470588-10000 -1.2 0.00024 -15823.5294130000 2.25 0.00015 24176.470588
∑ 4.95 0.00085
QoCFM H=RQ|Q| 2R|Q| Q Corregido10000 1.5 0.0003 10969.62
-14176.4706 -1.6077785467128 0.0002268235 -13206.85-10000 -0.5 0.0001 -9030.38
∑ -0.607778546712803 0.0006268235
QoCFM H=RQ|Q| 2R|Q| Q Corregido-20000.00 -4.00 0.000 -13231.53
-4176.47059 -0.122100346020761 5.8470588E-05 2592.009030.38 0.407739114937126 9.0303833E-05 15798.85
∑ -3.71 0.001
∆𝑸=−(∑▒〖𝑹𝑸 |𝑸|〗 )/(∑▒〖𝟐𝑹 |𝑸|〗 )
B 10000 C0.00000001
10000
0.000000005MALLA II 5E-09
10000
20000 DE 0.000000008
2.5E-09MALLA I
30000
0.0000000110000 G
SEGUNDA ITERACION
MALLA I R=pul-min^2/ft^6 QoCFM H=RQ|Q| 2R|Q| Q CorregidoFE 0.000000007 -2592.00 -0.05 0.00 -2331.36ED 0.000000008 13206.85 1.395367922179 0.00021131 13467.49
FHG 0.000000012 -15823.53 -3.00 0.00 -15562.90DG 0.0000000025 24176.4706 1.46125432526 0.000120882 24437.10
∑ -0.20 0.00
Q =Δ 260.63
MALLA II R=pul-min^2/ft^6 QoCFM H=RQ|Q| 2R|Q| Q CorregidoBCD 0.000000015 10969.62 1.804987350111 0.00 12242.13ED 0.000000008 -13467.49 -1.45 0.00 -12194.97BE 0.000000005 -15798.85 -1.25 0.00 -14526.33
∑ -0.89401613744 0.00
Q =Δ 1272.52
MALLA III R=pul-min^2/ft^6 QoCFM H=RQ|Q| 2R|Q| Q CorregidoBAF 0.00000001 -13231.53 -1.75 0.00 -11745.51FE 0.000000007 2331.36 0.04 0.00 3817.39BE 0.000000005 14526.33 1.06 0.00 16012.36
∑ -0.66 0.00
Q =Δ 1486.03
∆𝑸=−(∑▒〖𝑹𝑸 |𝑸|〗 )/(∑▒〖𝟐𝑹 |𝑸|〗 )
40000
TERCERA ITERACION
MALLA I R=pul-min^2/ft^6 QoCFM H=RQ|Q| 2R|Q| Q CorregidoFE 0.000000007 -3817.39 -0.10 0.00 -3379.66ED 0.000000008 12194.97 1.18973776289 0.00 12632.70
FHG 0.000000012 -15562.90 -2.91 0.00 -15125.17DG 0.0000000025 24437.10 1.49292984983 0.00012218551 24874.83
∑ -0.33 0.00
Q =Δ 437.73
MALLA II R=pul-min^2/ft^6 QoCFM H=RQ|Q| 2R|Q| Q CorregidoBCD 0.000000015 12242.13 2.24804793 0.00036726404 12667.91ED 0.000000008 -12632.70 -1.27668063596 0.00020212318 -12206.92BE 0.000000005 -16012.36 -1.28197826229 0.00016012359 -15586.58
∑ -0.31 0.00
Q =Δ 425.78
MALLA III R=pul-min^2/ft^6 QoCFM H=RQ|Q| 2R|Q| Q CorregidoBAF 0.00000001 -11745.51 -1.38 0.000 -11551.69FE 0.000000007 3379.66 0.0799547378 4.73152476E-05 3573.47BE 0.000000005 15586.58 1.21470731301 0.0001558658 15780.39
∑ -0.08 0.000
Q =Δ 193.81
∆𝑸=−(∑▒〖𝑹𝑸 |𝑸|〗 )/(∑▒〖𝟐𝑹 |𝑸|〗 )
CUARTA ITERACION
MALLA IR=pul-min^2/ft^6QoCFM H=RQ|Q| 2R|Q| Q CorregidoFE 7E-09 -3573.47 -0.09 0.00 -3442.90ED 8E-09 12206.92 1.19207098 0.00 12337.49
FHG 1.2E-08 -15125.17 -2.75 0.00 -14994.60DG 2.5E-09 24874.83 1.54689336 0.00012437 25005.40
∑ -0.10 0.00
Q =Δ 130.57
MALLA IIR=pul-min^2/ft^6QoCFM H=RQ|Q| 2R|Q| Q CorregidoBCD 1.5E-08 12667.91 2.40714087 0.00038004 12743.63ED 8E-09 -12337.49 -1.2177092 0.0001974 -12261.77BE 5E-09 -15780.39 -1.2451037 0.0001578 -15704.67
∑ -0.06 0.00
Q =Δ 75.72
MALLA IIIR=pul-min^2/ft^6QoCFM H=RQ|Q| 2R|Q| Q CorregidoBAF 0.00000001 -11551.69 -1.33 0.000 -11509.85FE 7E-09 3442.90 0.08297498 4.8201E-05 3484.75BE 5E-09 15704.67 1.23318353 0.00015705 15746.52
∑ -0.02 0.000
Q =Δ 41.85
∆𝑸=−(∑▒〖𝑹𝑸 |𝑸|〗 )/(∑▒〖𝟐𝑹 |𝑸|〗 )
QUINTA ITERACION SEXTA ITERACION
MALLA IR=pul-min^2/ft^6QoCFM H=RQ|Q| 2R|Q| Q Corregido MALLA IFE 7E-09 -3484.75 -0.09 0.00 -3461.36 FEED 8E-09 12261.77 1.2028081 0.00 12285.17 ED
FHG 1.2E-08 -14994.60 -2.70 0.00 -14971.20 FHGDG 2.5E-09 25005.40 1.56317561 0.00012503 25028.80 DG
∑ -0.02 0.00
Q =Δ 23.40 Q =Δ
MALLA IIR=pul-min^2/ft^6QoCFM H=RQ|Q| 2R|Q| Q Corregido MALLA IIBCD 1.5E-08 12743.63 2.4360031 0.00038231 12758.80 BCDED 8E-09 -12285.17 -1.2074023 0.00019656 -12270.00 EDBE 5E-09 -15746.52 -1.2397645 0.00015747 -15731.36 BE
∑ -0.01 0.00
Q =Δ 15.16 Q =Δ
MALLA IIIR=pul-min^2/ft^6QoCFM H=RQ|Q| 2R|Q| Q Corregido MALLA IIIBAF 0.00000001 -11509.85 -1.32 0.000 -11501.77 BAFFE 7E-09 3461.36 0.08386685 4.8459E-05 3469.43 FEBE 5E-09 15731.36 1.23737833 0.00015731 15739.43 BE
∑ 0.00 0.000
Q =Δ 8.07 Q =Δ
∆𝑸=−(∑▒〖𝑹𝑸 |𝑸|〗 )/(∑▒〖𝟐𝑹 |𝑸|〗 ) ∆𝑸=−(∑▒〖𝑹𝑸 |𝑸|〗 )/(∑▒〖𝟐𝑹 |𝑸|〗 )
SEXTA ITERACION SETIMA ITERACION
R=pul-min^2/ft^6QoCFM H=RQ|Q| 2R|Q| Q Corregido MALLA I7E-09 -3469.43 -0.08 0.00 -3464.80 FE8E-09 12270.00 1.20442404 0.00 12274.63 ED
1.2E-08 -14971.20 -2.69 0.00 -14966.57 FHG2.5E-09 25028.80 1.56610201 0.00012514 25033.43 DG
∑ 0.00 0.00
4.63 Q =Δ
R=pul-min^2/ft^6QoCFM H=RQ|Q| 2R|Q| Q Corregido MALLA II1.5E-08 12758.80 2.44180283 0.00038276 12761.75 BCD8E-09 -12274.63 -1.2053326 0.00019639 -12271.67 ED5E-09 -15739.43 -1.2386489 0.00015739 -15736.48 BE
∑ 0.00 0.00
2.96 Q =Δ
R=pul-min^2/ft^6QoCFM H=RQ|Q| 2R|Q| Q Corregido MALLA III0.00000001 -11501.77 -1.32 0.000 -11500.19 BAF
7E-09 3464.80 0.084034 4.8507E-05 3466.39 FE5E-09 15736.48 1.23818338 0.00015736 15738.06 BE
∑ 0.00 0.000
1.58 Q =Δ
∆𝑸=−(∑▒〖𝑹𝑸 |𝑸|〗 )/(∑▒〖𝟐𝑹 |𝑸|〗 ) ∆𝑸=−(∑▒〖𝑹𝑸 |𝑸|〗 )/(∑▒〖𝟐𝑹 |𝑸|〗 )
SETIMA ITERACION SETIMA ITERACION
R(pul-min^2/ft^6) QoCFM H=RQ|Q| 2R|Q| Q Corregido MALLA I0.000000007 -3466.39 -0.08 0.00 -3465.48 FE0.000000008 12271.67 1.20475174 0.00 12272.58 ED0.000000012 -14966.57 -2.69 0.00 -14965.67 FHG
0.0000000025 25033.43 1.5666811 0.00012517 25034.33 DG∑ 0.00 0.00
0.90 Q =Δ
R=pul-min^2/ft^6 QoCFM H=RQ|Q| 2R|Q| Q Corregido MALLA II0.000000015 12761.75 2.44293513 0.00038285 12762.33 BCD0.000000008 -12272.58 -1.2049289 0.00019636 -12272.00 ED0.000000005 -15738.06 -1.2384325 0.00015738 -15737.48 BE
∑ 0.00 0.00
0.58 Q =Δ
R=pul-min^2/ft^6 QoCFM H=RQ|Q| 2R|Q| Q Corregido MALLA III0.00000001 -11500.19 -1.32 0.000 -11499.88 BAF
0.000000007 3465.48 0.08406702 4.8517E-05 3465.79 FE0.000000005 15737.48 1.23834141 0.00015737 15737.79 BE
∑ 0.00 0.000
0.31 Q =Δ
∆𝑸=−(∑▒〖𝑹𝑸 |𝑸|〗 )/(∑▒〖𝟐𝑹 |𝑸|〗 ) ∆𝑸=−(∑▒〖𝑹𝑸 |𝑸|〗 )/(∑▒〖𝟐𝑹 |𝑸|〗 )
SETIMA ITERACIONCOMPROBACION
R(pul-min^2/ft^6)QoCFM H=RQ|Q| 2R|Q| Q Corregido7E-09 -3465.79 -0.08 0.00 -3465.62 1ERA LEY DE KIRCHOFF8E-09 12272.00 1.20481525 0.00 12272.17
1.2E-08 -14965.67 -2.69 0.00 -14965.502.5E-09 25034.33 1.56679402 0.00012517 25034.50
∑ 0.00 0.00
0.18
R=pul-min^2/ft^6QoCFM H=RQ|Q| 2R|Q| Q Corregido1.5E-08 12762.33 2.44315666 0.00038287 12762.448E-09 -12272.17 -1.2048499 0.00019635 -12272.065E-09 -15737.79 -1.2383901 0.00015738 -15737.68
∑ 0.00 0.00
0.11
R=pul-min^2/ft^6QoCFM H=RQ|Q| 2R|Q| Q Corregido0.00000001 -11499.88 -1.32 0.000 -11499.82
7E-09 3465.62 0.08407347 4.8519E-05 3465.685E-09 15737.68 1.23837229 0.00015738 15737.74
∑ 0.00 0.000
0.06
LA SUMA ALGEBRAICAS DEL CAUDAL QUE CONVERJAN EN UN PUNTO DE LA RED Y LOS QUE DIVERJEN DE ESTE DEBE SER IGUAL A CERO.
∑▒〖𝑸 _𝑩=〗∑▒𝑸_𝑭 =∑▒𝑸_𝑬 =
∆𝑸=−(∑▒〖𝑹𝑸 |𝑸|〗 )/(∑▒〖𝟐𝑹 |𝑸|〗 )
∑▒𝑸_𝑬 =∑▒𝑸_𝑫 =∑▒𝑸_𝑮 =
COMPROBACION
1ERA LEY DE KIRCHOFF
Q CFMFE 3465.68ED 12272.06
FHG 14965.50DG 25034.50
BCD 12762.44BE 15737.74
BAF 11499.82
0.00
0.00
0.00
LA SUMA ALGEBRAICAS DEL CAUDAL QUE CONVERJAN EN UN PUNTO DE LA RED Y LOS QUE DIVERJEN DE ESTE DEBE SER IGUAL A CERO. ∑▒𝑸_𝒑𝒕𝒐 =𝟎
∑▒〖𝑸 _𝑩=〗∑▒𝑸_𝑭 =∑▒𝑸_𝑬 =
0.00
0.00
∑▒𝑸_𝑬 =∑▒𝑸_𝑫 =∑▒𝑸_𝑮 =
2DA LEY DE KIRCHOFF
R(pul-min^2/ft^6) Q (CFM) H ("H20)FE 0.000000007 3465.68 0.08ED 0.000000008 12272.06 1.20
FHG 0.000000012 14965.50 2.69DG 0.0000000025 25034.50 1.57
BCD 0.000000015 12762.44 2.44BE 0.000000005 15737.74 1.24
BAF 0.00000001 11499.82 1.32
0.00
0.00
LA SUMATORIA DE LAS PRESIONES AL REDEDOR DE UNA MALLA DEBE SER IGUAL A CERO PARA CUMPLIR CON ESTA LEY DEBEMOS DAR LA DIRECCION DEL AIRE EN LOS RAMALES
∑▒〖 𝑯 𝒎𝒂𝒍𝒍𝒂〗=𝟎∑▒〖 𝑯 𝒎𝒂𝒍𝒍𝒂 𝑰〗=∑▒〖 𝑯 𝒎𝒂𝒍𝒍𝒂 𝑰〗 𝑰 =∑▒〖 𝑯 𝒎𝒂𝒍𝒍𝒂 𝑰𝑰𝑰〗=
0.00∑▒〖 𝑯 𝒎𝒂𝒍𝒍𝒂 𝑰𝑰𝑰〗=
LA SUMATORIA DE LAS PRESIONES AL REDEDOR DE UNA MALLA DEBE SER IGUAL A CERO PARA CUMPLIR CON ESTA LEY DEBEMOS DAR LA DIRECCION DEL AIRE EN LOS RAMALES
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