08 bombas en paralelo

8/20/2019 08 Bombas en Paralelo

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1 Curva de estrangulamiento de las bombas

BOMBA 1 CNP CDLF16-8 BOMBA 2 !PA "121 #

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5ramo 1 5ramo /L %m) 1++6/ L %m) ,8&/C*7 1&, C*7 1&,

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VERIFICAR ??????

BOMBA & !PA "121 # BOMBA / !PA "121 #

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5/133


6/133

15.00 20.00 25.00 30.00 35.00 40.00


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BOMBA 1* %m) $ %l's) / &

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BOMBA 2* %m) $ %l's) / &

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11/133

BOMBA &* %m) $ %l's) / &

+ +++ ;"AL


12/133

BOMBA /* %m) $ %l's) / &

+ +++ ;"AL


13/133

BOMBA ,* %m) $ %l's) / &

+ +++ ;"AL


14/133


BOMBA! N PA0ALLO

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15/133

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16/133


17/133

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on original


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+++ &#. +++++++ &,1 +++++++ &1. +++++++ 28, +++++++ 2/#+++ 2+& 6+++ 1,2 ;"AL


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6;"AL


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;N'A ;N'A ;"AL


28/133

;N'A ;N'A ;"AL


29/133

;N'A ;N'A ;"AL


30/133

;N'A ;N'A ;"AL


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32/133

, / & 2 1;"AL


33/133

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-8&888/68..2 86.,6#&/./2 -++++,+6+#2. -8&,11&2#286 86.,6128./.-82/1&2/&&, 8,..+62+, -++++2&++,86 -821,...& 8,..+&/&6.2

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-#,6#,&+668# 8+.+66&.681 -++++#,,,+6 -#,226+,&/61 8+.+,6&,&6#-#/+.#2...#6 #.8&2/1# -++++&&,61// -#..&28,,, #.8&1.6261-#2,&,#+12., #8#&..#+, -++++11.&.+# -#2&,88668/. #8#&/#+#-#+..+,68/,& ##62+/26281 -28.+1&6/1-++, -#+.+/++../8 ##62+&8,,2-6./61.,.2,/ #6/8+26/8#2 -&+2#8&2..-++6 -6./&/+.++./ #6/8+26+,11-6#./..&1,+8 #,&1,6+6/12 -88,&,61//-++. -6#./8/&26,6 #,&1,6+6&..-66.//..+/ #/126,,,. -++++.82&+/ -66//821&&8 #/12,+,.2,.-6,2//,#,#/8 #2.+##,26#1 -++++/+&8.2 -6/.2#.//22 #2.+#1&+6+.-6&,661#2,., #166+&.+/+, -++++126+6 -6&&.+.#& #166+1.1,/1-61.+.8#1&.1 #+&82/.1#2. -2&/8+//&1-++, -618&//868#, #+&82/,,6-6+2#,#,.28& 6.+#1././/8 -11/&#+.-++6 -6+2,.2&/&.2 6.+#1./#,,-,.+.,2/121, 6##2#8&2,88 -++++#8/2#&, -,866,1/6&68 6##26/.,#2&

-,#2.18.6&2, 66&//1&/.// -++++2,81/8 -,#+/6.6.61 66&/&682/2,-,,,1#26.., 6/.2+.12&+. -,&28+/88#-++, -,,/+68,&/.# 6/.2+8161/#-,#1/882#1 6&/,/8.1&+& -&,&6/82./-++6 -,/&268#81 6&/,/88/#2&-,2+,/6##/#2 61./2,++.2. + -,2+,/6#&/,& 61./2,++.2.-,+&8#2,,8#/ 6+.8,6,2& -1+/,.6,1,-++, -,+&&.,/,#+1 6+.8&,#/,-/8,.#81+/+8 ,8#62,&,88/ -12111/,6#-++8 -/8,.62+2+6# ,8#62,&,8,.-/6.162,8188 ,#+8,#+.& -+++++/1, -/682&+2+2 ,#+8,62+#+,-/,+&+1/2#., ,,&/&&,/221 -#,&+.+,+/-++# -/,+1##16+2 ,,&/&&,2,/8-/,,/,#12. ,&,8.8#1/ -++262,6#&,8 -/&2&.2#./.8 ,&,2.11&//#-/2.,##/.#&2 ,166#&/122 -++1&/66, -/1&&&..+&+& ,16&/.88..&-/+/,1.6888. /.666/.12,6 -+++,#66,,2, -&./++#68,/8 /.6,18,,622-&8+286+8#8# /#,#+22& -+++1.+6+.+& -&#/&&&/#2,& /#,6868826,

-&,6882/&61, /,&2,1&,8 -++++&8/882, -&,/2,+#2..8 /,Ø/88.-&&/&1//#,,. /&+/6+2&18. -22/++6.&+-++, -&&&6.+62++, /&+/,.,6+,.-&18+./.8+#8 /+,#,/+#66. -+++1##816/6 -&126&22..1. /+,6.#1..,1-2.2#&1/11.6 &#.18=.6 -++++21/888/ -2.+8#/&+2+, &#.1#6/28-26861+/#+,/ &,+,622&/8. -12+2,+&&&-++6 -268/#/.&8/8 &,+,621.+1-2,22+#/6 &1.,.&666 -+++&16./821 -2/,/2+#2++& &1./+8#.181-22&1##18+28 28,11/#8,#. -++++2/#6./. -221&/,1#2.8 28,1+&,.,&6-1.6/1+28 2/6##2&8+8/ -2&6,&68&,-++. -1.6/+826#.1 2/6##2&8+#1-188#88.1+, 2+/6/,/.2&, -++262.6..8/ -1#1&16,&2+& 2+&11+/.#,6

-1/8,6286&&/ 1,22+8#62## -+++2,#&+&.# -1/&/.,.88/. 1,2+2./,18,


34/133

-11,,,#88&11 +.+++#,/86/ -1+&61+8&.-++6 -11,/66+,+.& +.+++#/,8.-+8##1.8#/,1 +1+6,/,81.# -,2.68222,-++# -+8#66/1+,#8 +1+6,/,21,,

50ACON &4@ ?1 ?2 4 ?2 4@ ?2 ?&

-,+#&12.62/6 ,822,#/1+/& -++++,1+18## -,+&8/#/8&6. ,822/#28/,.-/86/.6.26.. ,66+6#,86/& -.#2262-++, -/8/...&2.28 ,66+6,,81##-/661&+1+62 ,/.2&6/6,& -/.+6/8/8+-++6 -/6,#.#2/6,, ,/.2&6&,..6

-//#&,,&.#26 ,&16.2,/+#/ -,.&,21866-++, -//621+/+6+. ,&16.121+6-/26&&.1./81 ,1&&/.,,666 -8#,&662,/-++# -/262+18&/./ ,1&&/.,&612-/+668.&//66 /./116/&6+2 -/2#&8,68+-++, -/+,#/181.68 /./11,&826#-&8/8281,./8 /#&8#&1,8+# -.+1/686.,-++8 -&8/#8,26// /#&8#&1,,#&-&8+16+81&., /,28,#+,+,6 -++1&6/28282 -&6&6,..628 /,2/818.#1&

-&,+8&,+#./, /2..+&8+28 -+++/#+#2 -&/1&2#2./.& /2.#6,..,8,-&22#./.,#.2 /+,,&668+.2 -+++1+1&.1/, -&18/#+&8/#6 /+,,+/8/&.-2.6+,2,+.28 &#./1,&,6+/ -6.+26216+-++, -2././.&., &#./1&+1,##-2#,61.,+,6 &,116666/# -+++1/,886#6 -2#+66/.#111 &,1112#6,&1

-2/6&,6#21.6 &2++.+#6&2. -6/,#2#1,+-++, -2/,&/,,&21& &2++881&1&8-22#2+2./8#8 28,8+6#6,1/ -+++/&8,61## -21.12/6&&1/ 28,6+6622,2-1.&+1+,+ 2/6,86+/.6, -++++2+1.#62 -1.1&,/,.#,2 2/6,#,/./,#-18.828&.+2/ 2+///11,&/, -++,1.,,.66& -16/1.&&..#2 2+12#68&82.

-1&8.8+/+6 1/#+2#6,16# -+++,++111&1 -1&1#1.8,81# 1/66/#.#&68-+..&&,8#2&6 +#6.2282, -,#,6+.#&2-++# -+..26#,18#8 +#6.22#6#&.





35/133



50ACON &4@ ?1 ?2 4 ?2 4@ ?2 ?&

;"AL


36/133

;"AL


37/133

;"AL


38/133

;"AL


39/133

#//1 616& +++ +++#/,& ,86# +++ +++

+ #/62 ,/.+ +++ +++-+66,&/,,1.& #/#+ /..8 +++ +++

#/#, /&&+ +++ +++#/#8 &&#6 +++ +++#/#. 1.+, +++ +++

#/#8 +++ +++ +++#/#/ +++ +++ +++#/68 +++ +++ +++#/,. +++ +++ +++#//8 +++ +++ +++#/&/ +++ +++ +++#/1# +++ +++ +++#&.6 +++ +++ +++#&#& +++ +++ +++#&/, +++ +++ +++#&1& +++ +++ +++#2## +++ +++ +++

+ #2&6 +++ +++ +++-+66,&/,,1.& #18. +++ +++ +++#1&6 +++ +++ +++#+#, +++ +++ +++#++# +++ +++ +++6.2. +++ +++ +++68/1 +++ +++ +++6#&. +++ +++ +++662& +++ +++ +++6/8. +++ +++ +++6&&& +++ +++ +++61,+ +++ +++ +++

,.&, +++ +++ +++,6#8 +++ +++ +++,&68 +++ +++ +++/.8# +++ +++ +++/,+. +++ +++ +++

+ &8./ +++ +++ +++;"AL


40/133

+;"AL


41/133

50ACON / 50ACON ,4 ?& 4@ ?& ?/ 4 ?/ 4@ ?/+ -.,2+21&+628 .,+1.28&6+, + -.,2+21&+628

-21228.681-++6 -.&./11/#8&2 ./1#&&,8+6& + -.&./11///#/-12162+//.-++6 -.26#122.,/2 .&&1,.,.,1/ + -.26#122#6+,

-66212&2##-++# -.1&.21/,6&& .2//668#++1 + -.1&.21//,#-&&.&&//6&-++# -.+1+&6/./+& . 1,6,116#82 + -.+1+&6/88,/-161#+.622-++# -888+,/82&8, . +6#+8++,11 + -888+,/82122-#+/.+++&2-++8 -8#/.#&,+. 8.#6&26&2/# + -8#/.#&&.&-2#/#66+2&-++8 -861#.+&81.& 888/2++12&, + -861#.+&81/8-.2#1+.+,6-++. -8/8,+1##&,& 8#.+6/#./6/ + -8/8,+1##&-2,#8/&16.-++. -8&,1+/#6&12 86.,6128./6 + -8&,1+/#6&+8-,/61#...+-+1+ -821,.6+&61# 8,..+&/&6.2 + -821,.6+&616-#662/.286-+11 -8+#.#2+.#26 8,++8/##&&& + -8+#.#2+.#26-,&/&281-+12 -#./22.2,,# 8/++.8&.&/# + -#./22.2,,#

+ -#8+&6&6+.61 82..&6.+822 + -#8+&6&6+.61+ -#66+28&& 81.,.2&.6.2 + -#66+28&&

-6#2.#&/..-++. -#,22/#1&2.8 8+.+,6&,&,8 + -#,22/#1&286-1&668../8-++. -#.8#2#/12 #.8&1.626+8 + -#.8#2#/1-1#818..+#-+1+ -#2&,86,+8,# #8#&/#+# + -#2&,86,+8,#-1+#,#61#+-+11 -#+.+&.,#12/ ##62+&8,,2 + -#+.+&.,#12/

+ -6./&/+8/,+1 #6/8+26+,11 + -6./&/+8/,+1+ -6#./8/&26&. #,&1,6+6&.. + -6#./8/&26&.

-1+8./1,-++8 -66//6&,86.2 #/12,+,.2&8 + -66//6&,866#-2&..&6+#1-++. -6/.2#1#28+1 #2.+#1&+6+6 + -6/.2#1#2#.#-2/22666,1-+1+ -6&&.+1&&&2# #166+1.1,/1 + -6&&.+1&&&2#-8#112,&./-+12 -618&///+.&2 #+&82/,,6 + -618&///+.&2

+ -6+2,.2&2126 6.+#1./#,, + -6+2,.2&2126-1+,2,226.-++8 -,866&,#1#,# 6##26/.,#+, + -,866&,#1#&6

-1188#66/2-++. -,#+/6///211 6 6&/&682/2& + -,#+/6///2+.-,28#8,.+/-+11 -,,/+6#/&,1/ 6/.2+8161/# + -,,/+6#/&,1/+ -,/&261& 6&/,/88/#2& + -,/&261&+ -,2+,/6#&/,& 61./2,++.2. + -,2+,/6#&/,&

-2&//#.1+&-+12 -,+&&.,2&+.6 6+.8&,#/, + -,+&&.,2&+.6+ -/8,.62+2+/ ,8#62,&,8,. + -/8,.62+2+/

-/112621&,-+11 -/6822.2#/&8 , #+8,62+#+, + -/6822.2#/&8+ -/,+1##1/&+, ,,&/&&,2,/8 + -/,+1##1/&+,

-18/.11,/,-++, -/&1#8&8,21# ,&,2.+#+621 -.1.//2&++-+12 -/&1#8&/2288-,1221#+11-++6 -/1&+2&2#/8. ,16&/.#6,.1 -#,&1#,&++-+1& -/1&+2&1,&,,-1+21121&/-++6 -&.&8681,+.6 /.6,18,&+2. + -&.&8681262,-12+1/166/-++# -&#/28628/2. /#,6868#.// + -&#/286281&2

-,&+28./12-++. -&,/2/+.68&1 /,Ø/8#/ + -&,/2/+.681#-1.,68&/6.-+11 -&&&6.+++. /&+/,.,6+,. + -&&&6.+++.-1&,26226.-++# -&12,8/#&6.# /+,6.#1.,18 + -&12,8/#&&&,-218#+.&1#-++. -2.+868&811/ & #.1#6/21 + -2.+868&81+8

+ -268/#/.+/28 &,+,621.+1 + -268/#/.+/28-6+2/1,21&-++# -2/,&2#/&+#8 &1./+8#6#26 + -2/,&2#/1&+,-/2&/..6-++. -221&+,16 28,1+&,.,1# + -221&+,+&

+ -1.6/+826#8/ 2/6##2&8+#1 + -1.6/+826#8/-6668####1-++, -1#+//81#&+& 2+&1+6,8,+6 -/&2166&+&-+1+ -1#+//,.6&8/-#./&&+12+-++# -1/&/+#&.#88 1,2+2.&.6/6 + -1/&/+#+,2


42/133

+ -11,/66+1//2 +.+++#/,8. + -11,/66+1//2+ -+8#66/+88+/ +1+6,/,21,, + -+8#66/+88+/

50ACON / 50ACON ,4 ?& 4@ ?& ?/ 4 ?/ 4@ ?/

-+++++++++6 -,+&8&,,#.88 ,822/#28//# + -,+&8&,,#.#/-2&16&6.&2-+1+ -/8/..#+18&/ ,66+6,,81#6 + -/8/..#+18&&-62,2##6+#-+1& -/6,#.#12#6/ ,/.2&6&,..6 + -/6,#.#12#6/-.#6,6..&6-+11 -//62+8.#1 ,&16.121+6 + -//62+8.#1

+ -/262+181281 ,1&&/.,&612 + -/262+181281-,82&6+826-+11 -/+,#/+#1 /./11,&826# + -/+,#/+#1

+ -&8/#8,262+1 /#&8#&1,,#& + -&8/#8,262+1-6.6/128+.-++6 -&6&288#28.2 /,2/81#+,/& -1818.8./+-+12 -&6&288,&.28

-.+##/.1.#-++# -&/11.,,,#/, /2.#6,.6.2, + -&/11.,,&2+2-/6621,6,&-++8 -&18//1+.#&6 /+,,+/8/2// + -&18//1+.6+1-2/122.2,.-+1+ -2././#2#6&8 &#./1&+1,#6 + -2././#2#6-121##2,+1-++# -2#+61.#86#& &,1112#6+81 + -2#+61.#82.6-2#&.../.+-+1+ -2/,&/&/,++/ &2++881&1 + -2/,&/&/,++&-1/#8#82/8-++6 -218.#68#+,# 28,6+6,,/.. + -218.#682+#2-&##/1&&+1-++. -1.1&/#//62& 2/6,#,/./ + -1.1&/#//61

-++++&+,1.6& -16226#+,26/ 2+12,8+&++2 -1+#2&2268-++8 -1622,,6,++#-&#//2.26#-++6 -1&1,226616, 1/66/#688.. -211#/1#&,-+12 -1&1,22,1&88

+ -+..26#/.,2, +#6.22#6#&. + -+..26#/.,2,;N'A ;N'A ;N'A ;N'A ;N'A;N'A ;N'A ;N'A ;N'A ;N'A




43/133



50ACON / 50ACON ,4 ?& 4@ ?& ?/ 4 ?/ 4@ ?/

;N'A ;"AL


44/133

;N'A ;"AL


45/133

;N'A ;"AL


46/133

;N'A ;"AL


47/133

+++ +1#1211+.22 #+1,8861#++6+++ +16#2##, 6.&,#+/8/8+2+++ +16&2&,&22/ 68&&.,8##+1/+++ +1,.+,.&1## 6#+2.,##81&2+++ +1,/#182#&. 6,&++262+,&2+++ +1,+18.#+./ 62.182/6/6.8+++ +1/,6,811+2 ,.&/618+1

+++ +1+&8++8216 #/##81..,2/,+++ +1+2&266+&, #/#/1&2621#8+++ +1++8,+.&2. #/68+1286,18+++ ++...8+/ #/,.&,211#,1+++ ++.#88#.16. #//8+21/6,8+++ ++.6&.6.+#2 #/&&868&2.,/+++ ++./8.#1+/ #/16#12,+1+2+++ ++.&&866/+6 #&.6&/1&.#&8+++ ++.186&6228 #&#2,+/&&,/+++ ++.+&2612+1 #&//.+,,8,66+++ ++88##21,,& #&1&1.,8.+6/+++ ++8#1..6.1. #2#6.62+&&/1

+++ ++8,6+661.# #2&,#1&.+...+++ ++8&..+# #188868+++ ++82&/.#&1. #1&,#288611#+++ ++8+6811,+/ #+#,/,./&..+++ ++#8.82 #++#+,1&888,+++ ++##2,+,,62 6.2.2#.6&82&+++ ++#,/82611, 68/+6/,2288#+++ ++#&6#,1+., 6#&.2.816&+++ ++#182/21+6 6622.&22288.+++ ++6..2,,,+8 6/886&88.1/&+++ ++6#.#/+.68 6&&26...682#+++ ++6,.6&.,/1 61,+28618286

+++ ++6&88811,2 ,.&,++6/2,22+++ ++61#&81&,# ,6#8211/666+++ ++,.,+/81 ,&6#8#6/+&+++ ++,#1#2,2 /.86#2&.86.#+++ ++,/#&+1+88 /,+88.622&+/+++ ++,216&/8&, &8.&6,/,/.8/+++ ++/./8+86&/ &+#2/88#,6#.+++ ++/686./+1 1.2+&88,+,#6+++ + ++


48/133


49/133

50ACON 6 50ACON #?, 4 ?, 4@ ?, ?6 4 ?6

.,+1.28&6+, + -.,2+21&+628 .,+1.28&6+, +

./1#&&,8+6& + -.&./11///#/ ./1#&&,8+6& +

.&&1,.,.,1/ + -.26#122#6+, .&&1,.,.,1/ +

.2//668#++1 + -.1&.21//,# .2//668#++1 +.1,6,116#82 + -.+1+&6/88,/ .1,6,116#82 +

.+6#+8++,11 + -888+,/82122 .+6#+8++,11 +8.#6&26&2/# + -8#/.#&&.& 8.#6&26&2/# +888/2++12&, + -861#.+&81/8 888/2++12&, +8#.+6/#./6/ + -8/8,+1##& 8#.+6/#./6/ +86.,6128./6 + -8&,1+/#6&+8 86.,6128./6 +8,..+&/&6.2 + -821,.6+&616 8,..+&/&6.2 +8,++8/##&&& + -8+#.#2+.#26 8,++8/##&&& +8/++.8&.&/# + -#./22.2,,# 8/++.8&.&/# +82..&6.+822 + -#8+&6&6+.61 82..&6.+822 +81.,.2&.6.2 + -#66+28&& 81.,.2&.6.2 +

8+.+,6&,&,8 + -#,22/#1&286 8+.+,6&,&,8 +#.8&1.626+8 + -#.8#2#/1 #.8&1.626+8 +#8#&/#+# + -#2&,86,+8,# #8#&/#+# +##62+&8,,2 + -#+.+&.,#12/ ##62+&8,,2 +#6/8+26+,11 + -6./&/+8/,+1 #6/8+26+,11 +#,&1,6+6&.. + -6#./8/&26&. #,&1,6+6&.. +#/12,+,.2&8 + -66//6&,866# #/12,+,.2&8 +#2.+#1&+6+6 + -6/.2#1#2#.# #2.+#1&+6+6 +#166+1.1,/1 + -6&&.+1&&&2# #166+1.1,/1 +#+&82/,,6 + -618&///+.&2 #+&82/,,6 +6.+#1./#,, + -6+2,.2&2126 6.+#1./#,, +

6##26/.,#+, + -,866&,#1#&6 6##26/.,#+, +

66&/&682/2& + -,#+/6///2+. 66&/&682/2& +6/.2+8161/# + -,,/+6#/&,1/ 6/.2+8161/# +6&/,/88/#2& + -,/&261& 6&/,/88/#2& +61./2,++.2. + -,2+,/6#&/,& 61./2,++.2. +6+.8&,#/, + -,+&&.,2&+.6 6+.8&,#/, +,8#62,&,8,. + -/8,.62+2+/ ,8#62,&,8,. +,#+8,62+#+, + -/6822.2#/&8 ,#+8,62+#+, +,,&/&&,2,/8 + -/,+1##1/&+, ,,&/&&,2,/8 +,&,2.+#+621 + -/&1#8&/2288 ,&,2.+#+621 +,16&/.#6,.1 + -/1&+2&1,&,, ,16&/.#6,.1 +/.6,18,&+2. + -&.&8681262, /.6,18,&+2. +/#,6868#.// + -&#/286281&2 /#,6868#.// +

/,Ø/8#/ + -&,/2/+.681# /,Ø/8#/ +/&+/,.,6+,. + -&&&6.+++. /&+/,.,6+,. +/+,6.#1.,18 + -&12,8/#&&&, /+,6.#1.,18 +&#.1#6/21 + -2.+868&81+8 &#.1#6/21 +&,+,621.+1 + -268/#/.+/28 &,+,621.+1 +

&1./+8#6#26 + -2/,&2#/1&+, &1./+8#6#26 +28,1+&,.,1# + -221&+,+& 28,1+&,.,1# +2/6##2&8+#1 + -1.6/+826#8/ 2/6##2&8+#1 +2+&1+6,8,+/ + -1#+//,.6&82 2+&1+6,8,+/ +1,2+2.&.6/6 + -1/&/+#+,2 1,2+2.&.6/6 +


50/133

+.+++#/,8. + -11,/66+1//2 +.+++#/,8. ++1+6,/,21,, + -+8#66/+88+/ +1+6,/,21,, +

50ACON 6 50ACON #?, 4 ?, 4@ ?, ?6 4 ?6

,822/#28//# + -,+&8&,,#.#/ ,822/#28//# +,66+6,,81#6 + -/8/..#+18&& ,66+6,,81#6 +,/.2&6&,..6 + -/6,#.#12#6/ ,/.2&6&,..6 +,&16.121+6 + -//62+8.#1 ,&16.121+6 +

,1&&/.,&612 + -/262+181281 ,1&&/.,&612 +/./11,&826# + -/+,#/+#1 /./11,&826# +/#&8#&1,,#& + -&8/#8,262+1 /#&8#&1,,#& +/,2/81#+,/& + -&6&288,&.28 /,2/81#+,/& +

/2.#6,.6.2, + -&/11.,,&2+2 /2.#6,.6.2, +/+,,+/8/2// + -&18//1+.6+1 /+,,+/8/2// +&#./1&+1,#6 + -2././#2#6 &#./1&+1,#6 +&,1112#6+81 + -2#+61.#82.6 &,1112#6+81 +&2++881&1 + -2/,&/&/,++& &2++881&1 +28,6+6,,/.. + -218.#682+#2 28,6+6,,/.. +2/6,#,/./ + -1.1&/#//61 2/6,#,/./ +2+12,8+2.&6 + -1622,,6/.6# 2+12,8+2.&6 +1/66/#688.. + -1&1,22,1&88 1/66/#688.. ++#6.22#6#&. + -+..26#/.,2, +#6.22#6#&. +





51/133



50ACON 6 50ACON #?, 4 ?, 4@ ?, ?6 4 ?6

;N'A ;N'A ;"AL


52/133

;N'A ;N'A ;"AL


53/133

;N'A ;N'A ;"AL


54/133

;N'A ;N'A ;"AL


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8&&& #8+.16# #.+.#22 #.+

6 , / & 2-1+#-+, ++++&.1+& -+++,/#/8/.6 ++&11/1,..1 -++,8./+11+8

BOMBA 2

$ %l's) P %7)++++ 2,882,#++11+.,8 2.1/..2/1/61#.6 &2+&288&6##26&/ &,2&61#2+/,&/#2 &86&16,##1,/&1+ /1.6&+##61#,1/8 /,+&82&//,61+6 /#8,#12821/6226 /82/1,22818#18/ /..#12.8,&6#.+2 ,+611.,621

8&81 ,+611.,621

6 , / & 2-16#-+, ++++,261#, -+++6&,+82,, ++&11/1,..1 -++,+81+//+/

BOMBA &$ %l's) P %7)++++ +++++ +++++ +++++ +++++ +++++ +

++++ +++++ +++++ +++++ +++++ +++++ +

6 , / & 2;"AL


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++++ +

6 , / & 2;"AL


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"ALO0 FNAL 5ol 1++-+.4@ ?6 ?# rror

-.,2+21&+628 .,+1.28&6+, 0.00E+00-.&./11///#/ ./1#&&,8+6& 0.00E+00-.26#122#6+, .&&1,.,.,1/ 0.00E+00

-.1&.21//,# .2//668#++1 0.00E+00-.+1+&6/88,/ .1,6,116#82 0.00E+00-888+,/82122 .+6#+8++,11 0.00E+00-8#/.#&&.& 8.#6&26&2/# 0.00E+00-861#.+&81/8 888/2++12&, 0.00E+00-8/8,+1##& 8#.+6/#./6/ 0.00E+00-8&,1+/#6&+8 86.,6128./6 0.00E+00-821,.6+&616 8,..+&/&6.2 0.00E+00-8+#.#2+.#26 8,++8/##&&& 0.00E+00-#./22.2,,# 8/++.8&.&/# 0.00E+00

-#8+&6&6+.61 82..&6.+822 0.00E+00-#66+28&& 81.,.2&.6.2 0.00E+00

-#,22/#1&286 8+.+,6&,&,8 0.00E+00-#.8#2#/1 #.8&1.626+8 0.00E+00-#2&,86,+8,# #8#&/#+# 0.00E+00-#+.+&.,#12/ ##62+&8,,2 0.00E+00-6./&/+8/,+1 #6/8+26+,11 0.00E+00-6#./8/&26&. #,&1,6+6&.. 0.00E+00-66//6&,866# #/12,+,.2&8 0.00E+00-6/.2#1#2#.# #2.+#1&+6+6 0.00E+00-6&&.+1&&&2# #166+1.1,/1 0.00E+00-618&///+.&2 #+&82/,,6 0.00E+00-6+2,.2&2126 6.+#1./#,, 0.00E+00-,866&,#1#&6 6##26/.,#+, 0.00E+00

-,#+/6///2+. 66&/&682/2& 0.00E+00-,,/+6#/&,1/ 6/.2+8161/# 0.00E+00-,/&261& 6&/,/88/#2& 0.00E+00-,2+,/6#&/,& 61./2,++.2. 0.00E+00-,+&&.,2&+.6 6+.8&,#/, 0.00E+00-/8,.62+2+/ ,8#62,&,8,. 0.00E+00

-/6822.2#/&8 ,#+8,62+#+, 0.00E+00-/,+1##1/&+, ,,&/&&,2,/8 0.00E+00-/&1#8&/2288 ,&,2.+#+621 0.00E+00-/1&+2&1,&,, ,16&/.#6,.1 0.00E+00-&.&8681262, /.6,18,&+2. 0.00E+00-&#/286281&2 /#,6868#.// 0.00E+00

-&,/2/+.681# /,Ø/8#/ 0.00E+00-&&&6.+++. /&+/,.,6+,. 0.00E+00-&12,8/#&&&, /+,6.#1.,18 0.00E+00-2.+868&81+8 &#.1#6/21 0.00E+00-268/#/.+/28 &,+,621.+1 0.00E+00-2/,&2#/1&+, &1./+8#6#26 0.00E+00-221&+,+& 28,1+&,.,1# 0.00E+00-1.6/+826#8/ 2/6##2&8+#1 0.00E+00-1#+//,.6&82 2+&1+6,8,+/ 0.00E+00-1/&/+#+,2 1,2+2.&.6/6 0.00E+00


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-11,/66+1//2 +.+++#/,8. 0.00E+00-+8#66/+88+/ + 1.07E-01

+ Frmula ultima 4 ila'3olumna

"ALO0 FNAL 5ol 1++-+.4@ ?6 ?# rror

-,+&8&,,#.#/ ,822/#28//# 0.00E+00-/8/..#+18&& ,66+6,,81#6 0.00E+00-/6,#.#12#6/ ,/.2&6&,..6 0.00E+00-//62+8.#1 ,&16.121+6 0.00E+00-/262+181281 ,1&&/.,&612 0.00E+00-/+,#/+#1 /./11,&826# 0.00E+00-&8/#8,262+1 /#&8#&1,,#& 0.00E+00-&6&288,&.28 /,2/81#+,/& 0.00E+00

-&/11.,,&2+2 /2.#6,.6.2, 0.00E+00-&18//1+.6+1 /+,,+/8/2// 0.00E+00-2././#2#6 &#./1&+1,#6 0.00E+00-2#+61.#82.6 &,1112#6+81 0.00E+00-2/,&/&/,++& &2++881&1 0.00E+00-218.#682+#2 28,6+6,,/.. 0.00E+00-1.1&/#//61 2/6,#,/./ 0.00E+00

-1622,,6/.6# 2+12,8+2.&6 0.00E+00-1&1,22,1&88 1/66/#688.. 0.00E+00-+..26#/.,2, +#6.22#6#&. 0.00E+00

;N'A ;N'A #N/A;N'A ;N'A #N/A

;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A

;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A


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;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A;N'A ;N'A #N/A

;N'A ;N'A #N/A;N'A ;N'A #N/A

;N'A Frmula ultima 4ila'3olumna

"ALO0 FNAL 5ol 1++-+.4@ ?6 ?# rror

;"AL


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;"AL


61/133

;"AL


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;"AL


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#8& &88 +++ +++#81 &#, +++ +++#8+ &61 +++ +++##8 &/6 +++ +++

1 + ##6 &28 +++ ++++/.18,+8286 /+/+1#/2#,8 ##& &+. +++ +++

##1 28, +++ +++

#68 2,. +++ +++#6, 2,. +++ +++#62 2,. +++ +++#,8 2,. +++ +++#,/ 2,. +++ +++#,+ 2,. +++ +++#/6 2,. +++ +++#/1 2,. +++ +++#&6 2,. +++ +++#&1 2,. +++ +++#2, 2,. +++ +++#1. 2,. +++ +++

#1& 2,. +++ +++#+6 2,. +++ +++1 + 6.. 2,. +++ +++

+&6,,2,2888 2,88&686,22 6.1 2,. +++ +++682 2,. +++ +++6#& 2,. +++ +++66/ 2,. +++ +++6,& 2,. +++ +++6/2 2,. +++ +++6&1 2,. +++ +++618 2,. +++ +++6+/ 2,. +++ +++

,.+ 2,. +++ +++,#/ 2,. +++ +++,,# 2,. +++ +++,&. 2,. +++ +++,1. 2,. +++ +++/.8 2,. +++ +++/#& 2,. +++ +++

1 + //, 2,. +++ +++;"AL


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1 +;"AL


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P, %7) Pt%7)+++ 1262

+++ 12,#+++ 12,2+++ 12/6+++ 12/++++ 12&&+++ 122,+++ 1216+++ 12+6+++ 11.,+++ 118/


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+++ 11#1+++ 11,#+++ 11/1+++ 112&+++ 11+/+++ 1+82+++ 1+,6

+++ 1+2#+++ 1+2/+++ 1+2++++ 1+1#+++ 1+1&+++ 1++.+++ 1++,+++ 1++++++ ..,+++ ..++++ .8/+++ .#8

+++ .#2+++ .6,+++ .,#+++ .,++++ ./1+++ .&2+++ .2&+++ .12+++ .+1+++ 88.+++ 8##+++ 86&

+++ 8/.+++ 8&&+++ 816+++ #.8+++ ##8+++ #,6+++ #&2+++ #+/+++ 66&


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BOMBA !PA "121 # BOMBA !PA "121 692.++ rm: 92.++ rm:

$ %m&'() $ %l's) * %m) $ %m&'() $ %l's) * %m)+ +++ 12+& + +++ 1+&.& +8&& 11.. & +8&& 1+&.6 16# 1181 /, 12, 1+&#. 2,+ 11/8 6 16# 1+&112 &&& 1+.. . 2,+ 1++.1, /1# 1+&6 12 &&& .#118 ,++ .,8 1, /1# .1.21 ,8& 86, 18 ,++ 8,12/ 66# #,# 21 ,8& #6.

2,/ #+6 #+ 2/ 66# 6#22# #,+ 6&/ 2# #,+ ,6&+ 8&& /.6 &+ 8&& /&&

1: bombas $3oin & 1: bombas $3oin /2: * mu Eusto 2: * O&: $ mu Eusto &: $ O/: * $est mu asado /: * $est O,: Bomba reserva 1 ,: Bomba reserva 16: Pre3io G 1H16#H12& 6: Pre3io G 1H+6&H#: Costo total G /H668H/.2 #: Costo total G ,H&16H8.+

NP!* %m) &OPCIN NJ

1++++

12+++

1/+++


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+++ 2++ /++ 6+++++

2+++

/+++

6+++

8+++

$!5 $M* !PA "121 # !

95

105


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0 5 10

55

65

75

85


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BOMBA BOMBA !B Movite3" F+2,'+,92.++ rm: 92.66 rm: Movite3" F+2,'+,-B1D1&!16+D,

$ %m&'() $ %l's) * %m) $ %m&'() $ %l's) * %m) modi4i3ado 1+& + +++ 88+ + +++ 1+6#

6 16# 8#. 2. +81 1+,8.6 26# 8#/ . 2,+ 1+2#1&2 &6# 868 12, &/# 1++2168 /6# 862 1, /1# .82+/ ,6# 8,& 2+ ,,6 .2,

2/ 66# 8/+ 21, ,.# .+,2#6 #6# 82& 228 6&& 88&.&12 86# 8+& 2, 6./ 8,&/8 .6# ##. 2#6 #6# 8+2&8/ 1+6# #,1 &+ 8&& #,&/2 116# #2+ &, .#2 62.

1: bombas $3oin & 1: bombas $3oin &2: * A3etable baEoKK 2: * O&: $ O &: $ O/: * $est O /: * $est O,: Bomba reserva 1 ,: Bomba reserva 16: Pre3io G 1H+6&H 6: Pre3io G 1H&/.H26+#: Costo total G /H2,&H,12 #: Costo total G ,H&.#H+/+

Curva mu lana NP!* 6OPCIN NJ OPCON NJNP!* ,,

(tt''(idrote3ni3a3l'rodu3tos(tt''globalesa3om'eses'rodu(tt''aguamaret3om'sQl'3oti

PD0OLLO F/+'2,+A


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+ 1+++ 12++ 1/++

0OLLO F/+'2,+A !B Movite3" F+2,'+,


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15 20 25 30 35


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BOMBA !B Movite3 2,', BOMBA !B Movite3 2,',7 92.++ rm: 92.++ rm: 4i3ien3ia

$ %m&'() $ %l's) * %m) $ %m&'() $ %l's) %>)+++ +++ 1++, +1+ ++2#8 ++28/ +#. 1+++ &++ +8& 18+88+ 2// .#& ,++ 1&. 28+

1222 &&. .,1 #++ 1./ &8+1/6# /+# .&2 1+++ 2#8 /.+1.,, ,/& 882 1/++ &8. 6++

21+2 ,8/ 86/ 1.++ ,28 6.+ 222. 61. 8/, 2&++ 6&. #&+

2/// 6#. 81& 2,++ 6./ #/+26.. #,+ #6# 2.++ 8+6 #/,2.&& 81, #2+ &1++ 861 #/,&/22 .,1 6+, &/++ .// #2+

1: bombas $3oin &2:* O&:$ O/: * $est O,: Bomba reserva 16: Pre3io G 1H#6,H+16#:Costo total G #H+6+H+6/

NP!* 6

OPCON NJ ELEGIDA

(K5ioProdBOMBA!>2+*D0A2+!


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0.00

0.0

100.0


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0.

10.

20.

30.

40.

50.

60.

70.

80.

90.

100.

110.


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BOMBA !B Movite3 2,',92.++ rm: Poten3ia

$ %m&'() $ %l's) P %7) P %() 1 etaa 1?,+++ +++ /+ ,/2 +8 //++ 111 /6 61+ +.& /6,#,+ 2+8 ,+ 6#1 1 ,11++ &+6 ,, #&8 1+8 ,/1/,+ /+& 6+ 8+. 12 618++ ,++ 66 8#8 12. 6/,

21,+ ,.# #+ ./& 1// #22,,+ #+8 #, 1++2 1, #,26++ #22 #, 1+1+ 1,6 #8&+++ 8&& #8 1+/6 1,. #.,&&++ .1# #. 1+,. 16 8&,++ .#2 #. 1+,. 16 8+

3ar1


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5.00 10.00 15.00 20.00


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0.00 5.00 10.00 15.00


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0.00 5.00 10.00 15.00

3.5

5.5

7.5


86/133

25.00 30.00 35.00


87/133

0.00 25.00 30.00 35.00


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0.00 25.00 30.00 35.00


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FUNCIONAMIENTO PEAP

Nombre stanQue

PAP LO! P!CADO0! 2# 8/ 8/

Caudal%l's)

Altura%m3a)

Presin de

!alida%m3a)

S


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%m3a)

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Aguas Arriba%m3a)


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Observa3in

66+

PresinMUnima

Admisible Aguas AbaEo

%m3a)


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Limita3iones1 Curva de 12 untos2 Curvas individuales se aro?iman a una 3uarti3a& Curva de3re3iente/ La oten3ia de una bomba Que se deEa de usar es di4erente de +KK, Los untos estan sobredimensionados en un 1,> en * $

6 Las resiones dadas or !"AL son sueriores a la normaKK# Cual es el diametro de des3arga DN6,8 "a3uometro manometro. $ue motor usar

1+1112


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102/133

& CONFS


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2 1 +-1+#,,2 /12-+1 8.&.21.#+.1

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66# #,# 6&. 6.6#+6 #+ 6#6 6/&#,+ 6&/ #1. ,8&8&& /.6 #.. /,6

2 1 +-1+#,,2 /,8-+1 11+,&8/.6

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,./ l's:

0.00 5.00

.

0.00 5.00 10.00

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60.0

80.0

100.0

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NJ ,+++ *R BOMBA ,+++ *R BOMBA /&1+ *R BOMBA +++ *R BOMBA, 2.++ 0PM 1 2.++ 0PM 2 2,++ 0PM & + 0PM /

$ %l's) * %m) $ %l's) * %m) $ %l's) * %m) $ %l's) * %m) $ %l's)+++ 1++,+ +++ 1++, +++ #/# +++ ++ ++++#. 1++++ +#. 1+++ +68 #/& +++ ++ +++2// .#&+ 2// .#& 211 #2& +++ ++ +++&&. .,1+ &&. .,1 2.& #+# +++ ++ +++/+# .&2+ /+# .&2 &,1 6.& +++ ++ +++,/& 882+ ,/& 882 /68 6,, +++ ++ +++,8/ 86/+ ,8/ 86/ ,+& 6/2 +++ ++ +++61. 8/,+ 61. 8/, ,&/ 628 +++ ++ +++6#. 8126 6#. 81& ,8, 6+/ +++ ++ +++#,+ #66# #,+ #6# 6/6 ,#+ +++ ++ +++81, #1.. 81, #2+ #+2 ,&, +++ ++ +++.,1 6+,+ .,1 6+, 81. /,+ +++ ++ +++

2 1 +++66.&/66&/ -&.1.,++6,2 1+,68..2/6,

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21.,6 $CON1+>9$H*:


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107/133

140


108/133

2&&&&&&&&&&&

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20

40

60

80

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109/133

6666666666#

10.00 15.00 20.00 25.00

15.00 20.00 25.00


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#/66666666#2,/+2#6+ 2#6+

2.++ 2.++ 2.++2.,+ 2.,+ 2.,+

+++ *R BOMBA +++ *R 1: !PA "121 #+ 0PM , + 0PM 2: !PA "121 6 /* %m) $ %l's) * %m) &: &++ +++ ++ /: !B Movite3" F+2,'+, &

++ +++ ++ ,: !B Movite3 2,',++ +++ ++++ +++ ++++ +++ ++++ +++ ++++ +++ ++++ +++ ++++ +++ ++++ +++ ++++ +++ ++++ +++ ++

PD0OLLO F/+'2,+A

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2+++

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+++ 2++ /+++

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ParTmetroMar3aModelo

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Poten3ia motor Fases

"oltaEe'Fre3uen3iaDiametro de des3arga

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128/133

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08 bombas en paralelo

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