7/23/2019 Trazado Del Alabe de Un Rotor Radial
1/11
TRAZADO DEL ALABE DE UN ROTOR RADIAL, POR EL
METODO DE LOS PUNTOS
Si se considera que vara entre los valores limites 1y 2en funcin del radio(en ventiladores se recomienda una variacin lineal) se podr obtener el alabe
por sementos llevando peque!os valores de "r y tra#ando por cada uno de ellos
un elemento de alabe que forma el correspondiente nulo $ %ste es un proceso
de interacin& esta interacin es me'or efectuarla por clculo& de la siuiente
manera
Se determina cada nulo central a cada valor de r
Sea el nulo PDA= a partir del radio *'o OA=r 1
%n el "+,-+& cuyo lado +- es el arco correspondiente del nulo de y cuyo
arrelo de - es ./0& se tiene
PT=r . (d ) ...(1)
+or otro lado
PT=P T
t an ( )...(2)
7/23/2019 Trazado Del Alabe de Un Rotor Radial
2/11
nde +,-dr
3ualando (1) y (2)
r .(d)=P T/tan()=dr / tan( )
nde d=dr /( r . tan())
3nterando entre r1 y r2 =r
1
r2
dr
rxtan( ) en radianes
=180
r1
r2
dr
rxtan() %n rados se4aesimales
+ara ventiladores se refiere variacin lineal de con r
=1+a (rr 1 )(3)
+ara nuestro dise!o se tuvo como dato
1 5/0 1 617 mm r1 18. mm
2 ./0 2 598$8 mm r2 269$98 mm
+ara r=r2y =2 : en (6)
90=40+a.(237.75159)a=0.634920634921
;inalmente la variacin lineal quedara de la siuiente manera
7/23/2019 Trazado Del Alabe de Un Rotor Radial
3/11
=40+(0.634920634921).(r159)
6
/$7872 9$276/ /$//6>>7 /$//96. /$5266
1.
.0-"0
.1
5/$.8
/$7>97 9$19.5 /$//6>1> /$/11// /$>6/8
11 .0-"
0 .11
51$29
/$799> 9$/998 /$//68>5 /$/1589 /$7659
11.
.0-"0
.11
51$8.
/$7795 >$.996 /$//6815 /$/17/7 1$/6>/
1" .0-"
0 .1" 51$.
/ /$7.95 >$797> /$//65>5 /$/2188 1$2658
1".
.0-"0
.1"
52$22
/$./98 >$9718 /$//6518 /$/25.> 1$56/1
10 .0-"
0 .10
52$85
/$.19> >$>787 /$//66>9 /$/2766 1$>26/
10.
.0-"0
.10
52$7>
/$.29. >$8.19 /$//661. /$/61>8 1$7162
1 .0-"
0 .1
56$19
/$.672 >$5../ /$//6296 /$/65.2 2$///9
1.
.0-"0
.1
56$5.
/$.579 >$5/99 /$//6229 /$/6718 2$178>
1 .0-"0
.1 56$71
/$.8.6 >$6197 /$//6171 /$/5166 2$6>9.
1.
.0-"0
.1
55$16
/$.9// >$22.6 /$//6169 /$/5559 2$859>
1 .0-"
0 .1
55$55
/$.7/7 >$1521 /$//6/.6 /$/598> 2$9257
1.
.0-"0
.1
55$9>
/$..19 >$/8>1 /$//6/8/ /$/8/>1 2$7..8
7/23/2019 Trazado Del Alabe de Un Rotor Radial
4/11
12 .0-"
0 .12
58$/7
1$//27 8$.918 /$//6//9 /$/86>1 6$/917
12.
.0-"0
.12
58$5/
1$/16. 8$777/ /$//2.>8 /$/8>87 6$2519
1 .0-"
0 .1
58$91
1$/282 8$7/87 /$//2.26 /$/8.8/ 6$5/.2
1.
.0-"0
.1
5>$/6
1$/6>9 8$9259 /$//2776 /$/>26. 6$8955
1- .0-"
0 .1-
5>$68
1$/572 8$>557 /$//2752 /$/>826 6$9692
1-.
.0-"0
.1-
5>$>9
1$/8.. 8$8>>1 /$//27/6 /$/>7/6 6$7.97
12 .0-"
0 .12
5>$.7
1$/917 8$5775 /$//29>5 /$/9/9. 5$/8>2
12.
.0-"0
.12
59$6/
1$/769 8$511. /$//2928 /$/9682 5$2126
121
.0-"
0 .121
59$>
2 1$/.8. 8$66>5 /$//2>79 /$/9>21 5$6>>2121.
.0-"
0.121
59$.
5 1$1/71 8$2>1. /$//2>8/ /$/977> 5$8171
12" .0-"
0 .12"
57$28
1$12/> 8$1775 /$//2>16 /$/7159 5$>>99
12".
.0-"0
.12"
57$89
1$1661 8$11>/ /$//289> /$/75/5 5$7186
120 .0-"
0 .120
57$7.
1$158. 8$/558 /$//285/ /$/7>87 5$.>/.
120.
.0-"0
.120
5.$21
1$1877 5$.95/ /$//28/8 /$/7./. 8$1/55
12 .0-"0
.12 5.$82
1$1917 5$./55 /$//259/ /$/.18> 8$258.
12.
.0-"0
.12
5.$75
1$1781 5$7689 /$//2568 /$/.6.. 8$6785
12 .0-"
0 .12
8/$1>
1$1.78 5$9>9. /$//25/1 /$/.>6. 8$826/
12.
.0-"0
.12
8/$57
1$2121 5$9/11 /$//26>9 /$/.79> 8$>87>
12 .0-"
0 .12
8/$9.
1$2287 5$>68/ /$//2665 /$1/11/ 8$9.26
12.
.0-"
0
.12
81$1
1
1$26.7 5$8>.7 /$//26/1 /$1/65/ 8$.252
122 .0-"
0 .122
81$56
1$285/ 5$8/88 /$//22>. /$1/8>9 >$/852
122.
.0-"0
.122
81$98
1$2>76 5$552/ /$//2269 /$1/9./ >$1726
12 .0-"
0 .12
82$/>
1$272. 5$69.2 /$//22/8 /$11/11 >$6/79
12. .0-" .12 82$6 1$2.9> 5$6196 /$//2195 /$11227 >$5666
7/23/2019 Trazado Del Alabe de Un Rotor Radial
5/11
0 7
12- .0-"
0 .12-
82$9/
1$612> 5$28>1 /$//2156 /$11556 >$88>1
12-.
.0-"0
.12-
86$/2
1$6297 5$1.89 /$//2116 /$11>85 >$>991
1 .0-"0 .1 86$66 1$6562 5$16>/ /$//2/76 /$117>2 >$9.>8
1.
.0-"0
.1
86$>8
1$687. 5$/99/ /$//2/86 /$12/>9 >$.151
11 .0-"
0 .11
86$.9
1$6957 5$/179 /$//2/25 /$1229/ 9$/6/1
11.
.0-"0
.11
85$2.
1$6./. 6$.>12 /$//1..8 /$125>. 9$1555
1" .0-"
0 .1"
85$>/
1$5/96 6$./56 /$//1.>> /$12>>> 9$289/
1".
.0-"0
.1"
85$.2
1$526. 6$7571 /$//1.67 /$127>/ 9$6>71
10 .0-"
0 .10
88$25
1$55/. 6$9.28 /$//1.1/ /$16/81 9$5998
10.
.0-"0
.10
88$8>
1$587/ 6$969> /$//1776 /$1626. 9$8785
1 .0-"
0 .1
88$79
1$5988 6$>765 /$//1788 /$16528 9$>.19
1.
.0-"0
.1
8>$1.
1$5.62 6$>2.9 /$//1727 /$16>/9 9$9.>5
1 .0-"
0 .1
8>$81
1$8116 6$89>9 /$//17/2 /$16977 9$7..9
1.
.0-"
0
.1
8>$7
6 1$82.> 6$8256 /$//1998 /$16.>8 7$//15
1 .0-"
0 .1
89$15
1$8576 6$5925 /$//195. /$1515/ 7$1/1>
1.
.0-"0
.1
89$5>
1$8>96 6$5211 /$//1926 /$15612 7$2//6
12 .0-"
0 .12
89$97
1$87>> 6$69/8 /$//1>.7 /$15572 7$2.9>
12.
.0-"0
.12
87$1/
1$>/>6 6$62/6 /$//1>96 /$15>5. 7$6.68
1 .0-"
0 .1
87$51
1$>2>6 6$29/9 /$//1>57 /$15715 7$579.
1.
.0-"0
.1
87$96
1$>5>9 6$2219 /$//1>26 /$15.99 7$87/.
1- .0-"
0 .1-
8.$/8
1$>>95 6$1962 /$//18.. /$1816> 7$>928
1-.
.0-"0
.1-
8.$69
1$>77> 6$1282 /$//1898 /$182.5 7$9>29
1- .0-"
0 .1-
8.$>7
1$91/1 6$/999 /$//1881 /$1855. 7$7818
7/23/2019 Trazado Del Alabe de Un Rotor Radial
6/11
1-.
.0-"0
.1-
>/$//
1$9621 6$/6/9 /$//1829 /$18>/2 7$.6./
1-1 .0-"
0 .1-1
>/$62
1$9855 2$.752 /$//18/5 /$18982 .$/282
1-1.
.0-"0
.1-1
>/$>6
1$9992 2$.672 /$//1571 /$18.// .$11//
1-" .0-"
0 .1-"
>/$.8
1$7//8 2$7.29 /$//1587 /$1>/5> .$1.68
1-".
.0-"0
.1-"
>1$29
1$7256 2$759> /$//1568 /$1>17. .$2987
1-0 .0-"
0 .1-0
>1$8.
1$7578 2$7/6/ /$//1516 /$1>661 .$68>9
1-0.
.0-"0
.1-0
>1$./
1$7962 2$987. /$//16./ /$1>59/ .$56>5
1- .0-"
0 .1-
>2$22
1$7.78 2$9182 /$//16>. /$1>>/9 .$8157
1-.
.0-"
0
.1-
>2$8
5 1$.252 2$>91. /$//1659 /$1>951 .$8.1.
1- .0-"
0 .1-
>2$7>
1$.8/> 2$>2.1 /$//1628 /$1>795 .$>>9.
1-.
.0-"0
.1-
>6$19
1$.998 2$87>9 /$//16/5 /$19//5 .$952>
1- .0-"
0 .1-
>6$5.
2$//8/ 2$8559 /$//1276 /$19162 .$71>1
1-.
.0-"0
.1-
>6$71
2$/661 2$8/61 /$//12>2 /$1928. .$7775
1-2 .0-"
0 .1-2
>5$16
2$/>1. 2$5>1. /$//1251 /$19676 .$.8.8
1-2.
.0-"0
.1-2
>5$55
2$/.16 2$5211 /$//1221 /$198/8 1/$/2.8
1- .0-"
0 .1-
>5$9>
2$1215 2$67/9 /$//12// /$19>28 1/$/.72
1-.
.0-"0
.1-
>8$/7
2$1826 2$65/9 /$//117/ /$19956 1/$1>8.
1-- .0-"
0 .1--
>8$5/
2$176. 2$6/1/ /$//11>/ /$1978. 1/$2626
1--.
.0-"0
.1--
>8$91
2$21>2 2$2>19 /$//1151 /$19.96 1/$2.99
" .0-"
0
." >>$/
6
2$25.5 2$2227 /$//1121 /$17/78 1/$6>1.
".
.0-"0
."
>>$68
2$2765 2$1756 /$//11/2 /$171.8 1/$5281
"1 .0-"
0 ."1
>>$>9
2$6176 2$15>1 /$//1/76 /$176/5 1/$5791
"1.
.0-"0
."1
>>$.7
2$685/ 2$1/72 /$//1/>5 /$1751/ 1/$857/
"" .0-" ."" >9$6 2$6./7 2$/9/9 /$//1/58 /$17815 1/$>/9.
7/23/2019 Trazado Del Alabe de Un Rotor Radial
7/11
0 /
"".
.0-"0
.""
>9$>2
2$5278 2$/668 /$//1/2> /$17>19 1/$>>>9
"0 .0-"
0 ."0
>9$.5
2$5>92 1$..>> /$//1//7 /$17917 1/$9255
"0. .0-"0 ."0 >7$28 2$8/9/ 1$.>/1 /$///.7. /$17719 1/$9711
" .0-"
0 ."
>7$89
2$857/ 1$.26. /$///.91 /$17.15 1/$76>9
".
.0-"0
."
>7$7.
2$8./1 1$777/ /$///.86 /$1.//. 1/$7.16
" .0-"
0 ."
>.$21
2$>665 1$7825 /$///.68 /$1.1/6 1/$.55.
".
.0-"0
."
>.$82
2$>97/ 1$7191 /$///.19 /$1.1.5 1/$..98
" .0-"
0 ."
>.$75
2$925/ 1$9721 /$///.// /$1.275 11$/5./
".
.0-"0
."
9/$1>
2$9916 1$9595 /$///772 /$1.692 11$/..>
"2 .0-"
0 ."2
9/$57
2$72/2 1$916/ /$///7>8 /$1.58. 11$15.1
"2.
.0-"0
."2
9/$9.
2$79/> 1$>977 /$///757 /$1.855 11$1.99
" .0-"
0 ."
91$11
2$.22> 1$>58/ /$///761 /$1.>29 11$2586
".
.0-"0
."
91$56
2$.9>6 1$>115 /$///715 /$1.9/7 11$2.2/
"-
.0-"
0 ."-
91$9
8 6$/61. 1$8971 /$///9.9 /$1.977 11$6699"-.
.0-"
0."-
92$/
> 6$/7.6 1$8581 /$///971 /$1.7>> 11$6725
"1 .0-"
0 ."1
92$67
6$1577 1$8126 /$///9>5 /$1..56 11$52>2
"1.
.0-"0
."1
92$9/
6$21/6 1$59.7 /$///957 /$2//19 11$5>./
"11 .0-"
0 ."11
96$/2
6$2951 1$5598 /$///962 /$2//.1 11$811/
"11.
.0-"0
."11
96$66
6$65/2 1$5188 /$///91> /$2/1>2 11$882/
"1" .0-"0
."1" 96$>8
6$5/7. 1$6769 /$///9// /$2/262 11$8.21
"1".
.0-"0
."1"
96$.9
6$57/1 1$6822 /$///>75 /$2/6// 11$>616
"10 .0-"
0 ."10
95$2.
6$8852 1$62/. /$///>>7 /$2/6>9 11$>>.>
"10.
.0-"0
."10
95$>/
6$>616 1$27.. /$///>86 /$2/566 11$9/9/
7/23/2019 Trazado Del Alabe de Un Rotor Radial
8/11
"1 .0-"
0 ."1
95$.2
6$9118 1$28./ /$///>69 /$2/5.> 11$9568
"1.
.0-"0
."1
98$25
6$9.81 1$2275 /$///>22 /$2/887 11$99.1
"1 .0-"
0 ."1
98$8>
6$7722 1$1.71 /$///>/9 /$2/>1. 11$716.
"1.
.0-"0
."1
98$79
6$.962 1$1>9. /$///8.1 /$2/>97 11$7599
"1 .0-"
0 ."1
9>$1.
5$/>75 1$167/ /$///89> /$2/96> 11$77/7
"1.
.0-"0
."1
9>$81
5$1>97 1$1/72 /$///8>2 /$2/9.2 11$.16/
"12 .0-"
0 ."12
9>$76
5$292/ 1$/979 /$///859 /$2/759 11$.556
"12.
.0-"0
."12
99$15
5$6716 1$/5.5 /$///862 /$2/.// 11$.957
"1
.0-"
0 ."1
99$5
> 5$5.>/ 1$/2/6 /$///819 /$2/.82 12$//55"1.
.0-"
0."1
99$9
7 5$>1>8 /$..15 /$///8/6 /$21//2 12$/662
"1- .0-"
0 ."1-
97$1/
5$9565 /$.>2> /$///57. /$21/81 12$/>12
"1-.
.0-"0
."1-
97$51
5$7991 /$.651 /$///595 /$21/.7 12$/775
"" .0-"
0 .""
97$96
8$/176 /$./87 /$///5>/ /$21155 12$1159
"".
.0-"0
.""
9.$/8
8$1>98 /$799> /$///55> /$2117. 12$15/6
""1 .0-"0
.""1 9.$69
8$6288 /$75.9 /$///562 /$21262 12$1>8/
""1.
.0-"0
.""1
9.$>7
8$5.61 /$721. /$///517 /$21295 12$17./
""" .0-"
0 ."""
7/$//
8$>916 /$9.56 /$///5/5 /$21615 12$2121
""".
.0-"0
."""
7/$62
8$7>1/ /$9>>7 /$///6./ /$21686 12$2658
""0 .0-"
0 .""0
7/$>6
>$/>65 /$96.> /$///699 /$216.1 12$28>1
""0.
.0-"
0
.""0
7/$.
8
>$27// /$9128 /$///6>6 /$21529 12$29>7
"" .0-"
0 .""
71$29
>$8121 /$>788 /$///68/ /$215>2 12$2.>.
"".
.0-"0
.""
71$8.
>$9>1> /$>877 /$///66> /$215.> 12$61>1
"" .0-"
0 .""
71$./
9$/6/> /$>622 /$///626 /$21827 12$665>
"". .0-" ."" 72$2 9$6216 /$>/89 /$///6/. /$2188. 12$6825
7/23/2019 Trazado Del Alabe de Un Rotor Radial
9/11
0 2
"" .0-"
0 .""
72$85
9$>6>> /$89.5 /$///2.> /$2187. 12$6>.6
"".
.0-"0
.""
72$7>
9$.9.7 /$8866 /$///276 /$21>19 12$678>
""2 .0-"0 .""2 76$19 7$6857 /$8296 /$///29/ /$21>55 12$5/1/
""2.
.0-"0
.""2
76$5.
7$9>>1 /$8/15 /$///289 /$21>9/ 12$5187
"" .0-"
0 .""
76$71
.$21.5 /$5989 /$///255 /$21>.5 12$52.7
"".
.0-"0
.""
75$16
.$921> /$58/2 /$///261 /$21919 12$556/
""- .0-"
0 .""-
75$55
1/$27/.
/$5257 /$///21. /$2196. 12$588>
""-.
.0-"0
.""-
75$9>
1/$./97
/$6..8 /$///2/> /$219>/ 12$5>95
"0 .0-"
0 ."0
78$/7
11$>186
/$6956 /$///1.6 /$2199. 12$5975
"0.
.0-"0
."0
78$5/
12$52/2
/$65.6 /$///171 /$219.9 12$5777
"01 .0-"
0 ."01
78$91
16$6551
/$6255 /$///1>7 /$21715 12$5.78
"01.
.0-"0
."01
7>$/6
15$5185
/$2..9 /$///18> /$2176/ 12$8/95
"0" .0-"
0 ."0"
7>$68
18$>927
/$298/ /$///155 /$21755 12$818>
"0".
.0-"
0
."0"
7>$>
9
19$1>.
6 /$28/8 /$///161 /$21789 12$8262
"00 .0-"
0 ."00
7>$.7
17$.7/8
/$22>1 /$///11. /$217>. 12$86//
"00.
.0-"0
."00
79$6/
21$2195
/$2/17 /$///1/9 /$2177/ 12$86>1
"0 .0-"
0 ."0
79$>2
25$/8/5
/$1999 /$////.8 /$2177. 12$851>
"0.
.0-"0
."0
79$.5
29$9855
/$186> /$////76 /$217.7 12$85>6
"0 .0-"
0 ."0
77$28
62$7/59
/$12.9 /$////91 /$21./8 12$88/5
"0.
.0-"0
."0
77$89
5/$/.79
/$1/8. /$////8. /$21.1/ 12$8869
"0 .0-"
0 ."0
77$7.
81$88.9
/$/722 /$////59 /$21.18 12$88>5
"0.
.0-"0
."0
7.$21
92$1771
/$/87> /$////68 /$21.1. 12$8875
"02 .0-"
0 ."02
7.$82
12/$6175
/$/681 /$////26 /$21.21 12$88.7
7/23/2019 Trazado Del Alabe de Un Rotor Radial
10/11
"02.
.0-"0
."02
7.$75
6>/$.>28
/$/119 /$////12 /$21.22 12$8>/8
"02.2
.0-"0
."022
./$//
?
7/23/2019 Trazado Del Alabe de Un Rotor Radial
11/11