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Page 1: ]K - GWDGwebdoc.sub.gwdg.de/ebook/diss/2003/tu-freiberg/archiv/... · 2003-09-24 · c ¢ l%r ^_i l.cedgw dg\onkdgaek i a_i m]ibdg^em p i wydgw , s &¢ c ¢4 dgaeaem]\]ae\]dgaersdgwywyleaeibdga2

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��A��^E^E\]M]CELEAEi5c����+\]WbN¡CE\]DfM]\]AED I�FYDS��DG\ONkDGAEK�I�A_I�M���LEDGFYWYX[ZEAE\ONYNkWYDGFb�fDG\ONkDGFYLEAEi � WY\]DGZEDSI�LEX[Z �^E^a�c�� �_�cI&�Y�T` WY?��9\]D�CE\]D >@DGFYWbNkDGM]M]LEAEiCEDGF~�%I�LEiBWYDG\ONkD C_I�FYiBDGWbNkDGM]MON �a��\]D LEFYWY�EF�PLEAEiBM]\]X[ZEDs��NkDGM]M]LEAEiCEDGF��%I�LEiBWYDG\ONkD � LEr�n+A&NkDGFY^EFYDGX[ZEDGF+�9\]FYC�rs\ON<CEDGr)>@DGFYWbNkDGM]MO�9\]AEK�DGM � �9^tD � DG\]X[ZEAEDjN ���A �^E^E\]M]CELEAEi c�� r�WY\]AEC=CE\]Ds��DGAEAEM]\]AE\]DGAErsDGWYWYLEAEiBDGA=^tDG\hLEA&NkDGFYWYX[ZE\]DGCEM]\]X[ZEDGA$>@DGFYWbNkDGM]MO�9\]A�dK�DGM]A�\]AwCEDGF�� LEWbNkF�P?Br LEAEiC_I�FYiBDGWbNkDGM]MON � � LEF Pn+^tDGFYWY\]X[Z&NkM]\]X[ZEK�DG\ON,WY\]AECoA�LEF�CEFYDG\h��DGAEAEM]\]AE\]DGACELEFYX[Z$DG\]AED��m?BMSp�AE?BrsFYDGiBFYDGWYWY\]?BAop�\]DGFbNkDGF���FYCEA�LEAEi.DG\]AEiBD � DG\]X[ZEAEDjN �mU.D �B�ELEAEK&NkD WY\]AEC=I�M]M]DpB?BFYZ_I�AECEDGAa`zWY?oK�I�AEA r I�A ^tDG\SqfDGC_I�FbR+CE\]Ds�fDG\ONkDGFYDGA!��DGAEAEM]\]AE\]DGA$DG\]A � DG\]X[ZEAEDGAa�h�+\]DGF \]WbNCE\]D�CE\]rsDGAEWY\]?BAEWY^tDGZ_I�R NkDjNkDs��I�FYWbNkDGM]M]LEAEiiBDj�~PI�ZEMON ` WY?.C_I��.AE?�X[Z=DG\]AE\]iBD �fDG\ONkDGFYD �AEi&I�^tDGAAE?�N��fDGAECE\]i$WY\]AECa� ��\]D.U.DGWYWYLEAEiBDGA �9LEFYCEDGA rs\ONwq L%R N \]r "+?BFYr � LEWbN[I�AEC�LEAEC�^tDG\9DG\]AEDGF��FYDGZ � I�ZEM¡pB?BA � , ¢@�B�B�)(���� ��� CELEFYX[ZEiBDjRTPLEZEFbN � "+DG^tDGA�CEDGA�^tDG\]CEDGA�D &�NkFYDGrsDGA$�%I�LEiBWYDG\ d

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� ����� �������������������j����� � ��O��� s��

1,00

1,02

1,04

1,06

1,08

1,10

1,12

1,14

1,16D

ruck

verh

ältn

is

0

5

10

15

20

25

30

35

40

45

50

Kup

plun

gsw

irkun

gsgr

ad[%

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0 50 100 150 200 250 300 350 400

Volumenstrom [m /h]3

Π (-7,9˚-Verstellung)

Π (0˚-Verstellung)

Π (+15,8˚-Verstellung)

Π (+23,7˚-Verstellung)

Π (+39,5˚-Verstellung)

η (-7,9˚-Verstellung)Kupplung

η (0˚-Verstellung)Kupplung

η (+15,8˚-Verstellung)Kupplung

η (+23,7˚-Verstellung)Kupplung

η (+39,5˚-Verstellung)Kupplung

������������� � � �0/ � U.DGWYWYLEAEiBDGA;I�r ��> rs\ONoM]\]AED I�FYDGF���DG\ONkDGAEK�I�A_I�M���LEDGFYWYX[ZEAE\ONYNkWYDGFb�fDG\ONkDTdFYLEAEi�^tDG\ LEA&NkDGFYWYX[ZE\]DGCEM]\]X[ZEDGA.>@DGFYWbNkDGM]MO�9\]AEK�DGM]A�CEDGF � LEWbNkF�P?Br LEAEi

NkDGA&pBDGFYWbNkDGM]M]LEAEiBDGA � � � ([� �,LEAEC � ¢B�(Bc��[��\]WbN,AE?�X[Z=CE\]Ds��DGAEAEM]\]AE\]D rs\ON,CEDGr ^tDGWbNkDGA=  \]FedK�LEAEiBWYiBFkI�Ca`J^tDG\ � ��c (�r �SDG\]AEiBD � DG\]X[ZEAEDjN �>@?BA CEDGFAEDGi&I�Nk\OpBDGA ^E\]W � LEFr I &%\]r I�M]DGA �%I�LEiBWYDG\ONkDGA&pBDGFYWbNkDGM]M]LEAEi6WbNkDG\]i�NCEDGF���FYLEX[K�I�L%R�d^_I�L �9\]D�I�LEX[Z CEDGF >@?BM]LErsDGAEWbNkFY?Br I�Aa����AEWY^tDGWY?BAECEDGFYD�^tDG\tK�M]DG\]AEDGF ��FY?BWYWYDGM]LEAEi AE\]rsr~N@CEDGF>@?BM]LErsDGAEWbNkFY?Br0DGFYZEDG^EM]\]X[Z � La�B�+\]DGFkI�LEW¡R ?BM]i�N `�C_I���CE\]DfM]\]AED I�FYDS��DG\ONkDGAEK�I�A_I�M���LEDGFYWYX[ZEAE\ONYNkWYDGFed�fDG\ONkDGFYLEAEisRTPLEF9CE\]D~��NkF�P?Br LEAEi��9\]D,DG\]AED���FY?BWYWYDGM �9\]FYK&N �J��DGF+�,I�A_I�M���LEDGFYWYX[ZEAE\ONYN�r L �sI�M]WY?WYX[ZEAEDGM]M]DGF pB?BM]M iBD&P? � AEDjN �fDGFYCEDGAa�h��A DG\]AEDGr �fDG\ONkDGFYDGA >@DGFYWYLEX[Z �9\]FYC6I�M]WY?wDG\]AED WYDGZEF p�\]DGMK PLEF � DGFYD ��DG\ONkDGAEK�I�A_I�M���LEDGFYWYX[ZEAE\ONYNkWYDGFb�fDG\ONkDGFYLEAEi LEA&NkDGFYWYLEX[Z&N �

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sXr � �<� �w� ��� �D� ������� � � ������ �*� �� � ���e�����Z�,���y�Z���� � �B�a���Z���

35

40

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Kup

plun

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ad[%

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-10 0 10 20 30 40

Verstellwinkel [˚]

������������� � � ��� � UVI &%\]r I�M]DGFm��LE�E�EM]LEAEiBWb�9\]FYK�LEAEiBWYiBFkI�C~^tDG\�CEDGA LEA&NkDGFYWYLEX[Z&NkDGA >@DGFYWbNkDGM]M d�9\]AEK�DGM]A

"+DG^tDGA�CEDGF)��DGAEAEM]\]AE\]DGA�^tDjNkFkI�X[Z&NkLEAEi \]WbN ^tDGWY?BAECEDGFYW)CEDGF   \]FYK�LEAEiBWYiBFkI�C%pBDGFYM�I�L%R�\]r>@DGFYZ PI�MONkAE\]W � LEF¡�%I�LEiBWYDG\ONkDGA&pBDGFYWbNkDGM]M]LEAEi�\]A&NkDGFYDGWYWkI�A&N ����\]D �^E^E\]M]CELEAEi2c�� � � DG\]i�N CEDGA�>@DGFYM�I�L%RCEDGW~r I &%\]r I�M]DGA=��LE�E�EM]LEAEiBWb�9\]FYK�LEAEiBWYiBFkI�CEDGW \]A �^EZ PI�AEiB\]iBK�DG\ON�pB?Br >@DGFYWbNkDGM]MO�9\]AEK�DGM CEDGF�%I�LEiBWYDG\ONkD��JghW � DG\]i�N+WY\]X[Za`_C_I��sCEDGF9^tDGWbNkD,  \]FYK�LEAEiBWYiBFkI�C.AE\]X[Z&N�^tDG\ CEDGF ��FY\]iB\]A_I�M�I�LEWYFY\]X[Z�dNkLEAEiE`BWY?BAECEDGFYAs^tDG\EDG\]AEDGr�>@DGFYWbNkDGM]MO�9\]AEK�DGMEpB?BA�X I%����� � M]\]DGi�N ����r;qfDGFYDG\]X[Z�CEDGF � LEWbNkF�P?Br LEAEiM]\]DGi�N<I�M]WY? RcI�WbN9K�DG\]AED~��DG\ONkDGAEK�I�A_I�M]DGFb�fDG\ONkDGFYLEAEi�rsDGZEFSpB?BFG�J��DGF��LEWYM]DGiBLEAEiBWYiBDGC_I�AEK�D�A_I�X[ZM]\]AED I�FYDGFh��DGWYX[Z&�9\]AECE\]iBK�DG\ONkWbpBDGFbNkDG\]M]LEAEi,\]A CEDGF � LEWbNkF�P?Br LEAEi�LEAEC�CEDGr C_I�rs\ONmpBDGFY^ELEAECEDGAEDGA^tDGWbNkDGA   \]FYK�LEAEiBWYiBFkI�Cs�SI�FSI�M]WY?�AE\]X[Z&NfFY\]X[Z&Nk\]iE����?�R ?BM]i�NfI�LEX[Z I�LEWfCEDGAs  \]FYK�LEAEiBWYiBFkI�CE^tDTdNkFkI�X[Z&NkLEAEiBDGA�CE\]D~H_?BFYCEDGFYLEAEi A_I�X[ZoDG\]AEDGF�CEDGL%NkM]\]X[ZVpBDGFYK PLEF � NkDGA���DG\ONkDGAEK�I�A_I�M���LEDGFYWYX[ZEAE\ONYNkWedDGFb�fDG\ONkDGFYLEAEiE�U.\ON�CEDGF�M]\]AED I�FYDGA!��DG\ONkDGAEK�I�A_I�M���LEDGFYWYX[ZEAE\ONYNkWYDGFb�fDG\ONkDGFYLEAEi$�9LEFYCEDGA I�LEX[Z U.DGWYWYLEAEiBDGA rs\ONFkI�CE\�I�M]DGF�� LEWbNkF�P?Br LEAEioLEAEC � �fDG\<n+A&NkDGFY^EFYDGX[ZEDGFYA PLE^tDGF CEDGA!n+r�RcI�AEiwiBDGr I�X[Z&N �z��\]D ghFediBDG^EAE\]WYWYD��SI�FYDGA�\]r;>@DGFYiBM]DG\]X[Z � LCEDGAVU.DGWYWYLEAEiBDGA�rs\ONfDG\]AEDGr)n+A&NkDGFY^EFYDGX[ZEDGF9WY? WYX[ZEM]DGX[Z&N `C_I��E`JAE?�X[Zo^tDjpB?BF�CE\]D ��LEDGFYWYX[ZEAE\ONYNkWYDGFb�fDG\ONkDGFYLEAEi�rs?�CE\O� � \]DGFbN9�9LEFYCED�` rsDGZEFYDGFYD P�AECEDGFYLEA�diBDGA � LEF.��FYLEX[K&pBDGFYM]LEWbNkrs\]AECEDGFYLEAEi�\]r gh\]A�dsLEAEC �LEWYM�I�� pB?BFYiBDGAE?BrsrsDGA �9LEFYCEDGAa�+��DGW�fDG\ONkDGFYDGA \]WbN � Ln+A&NkDGFYWYLEX[ZEDGAa`%�9\]D+WY\]X[Z�Dp�WbNkDGrsCEFYLEX[K LEAEC ��FYDGZ � I�ZEM I�L%R CE\]D���DGAEAEM]\]AE\]DGAI�LEWb�9\]FYK�DGAa�

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A_I�X[Z.WY\]X[Z � \]DGZ&N `E�9\]FYC��YD�A_I�X[Z.^tDGA P?�Nk\]i�NkDGFnq DG\]WbNkLEAEi�CEDGF+�Dp�WbNkDGrsCEFYLEX[K�I�AEiBDG�_I���N `EC_I�rs\ONCEDGF�I�AEiBDGWYX[ZEM]?BWYWYDGAED�H_FYD ��LEDGA � LErsFY\]X[Z&NkDGF PLE^tDGF�CEDGAoiBDGWkI�r~NkDGA���DGAEAEM]\]AE\]DGA�^tDGFYDG\]X[ZViBDGA�LEiq DG\]WbNkLEAEi � LEFs>@DGFbRTPLEiBLEAEi$WbNkDGM]M]DGA!K�I�AEAa�h  \]D.\]A��,I��E\ONkDGM2c��������oC_I�FYiBDGM]DGi�N `h\]WbNsRTPLEFsDG\]AEDiBDGA_I�LED�  \]FYK�LEAEiBWYiBFkI�CE^tDGWbNk\]rsr LEAEi DG\]AED�rwP?BiBM]\]X[ZEWbN+ZE?BZED#q DG\]WbNkLEAEiBWkI�L%R A_I�ZErsD,�9\]X[Z&Nk\]iE���I�WfRTPLEZEFbN<C_I � La`%C_I�� WY�tD � \]DGM]Mt^tDG\aLEA&NkDGFYWYX[ZE\]DGCEM]\]X[ZEDGA.��FYDGZ � I�ZEM]DGAa`%CEDGF9�Dp�WbNkDGrsCEFYLEX[K p�IQdFY\]\]DGFbNS�9\]FYCa�

1,00

1,02

1,04

1,06

1,08

1,10

1,12

1,14

1,16

Dru

ckve

rhäl

tnis

0 50 100 150 200 250 300 350

Volumenstrom [m /h]3

p = 600 mbarSys

p = 700 mbarSys

p = 800 mbarSys

p = 900 mbarSys

p =1000 mbarSys

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��I��=CEDGF�Dp�WbNkDGrsCEFYLEX[K!K�DG\]AEDGA DGA&NkWYX[ZEDG\]CEDGAECEDGA gh\]A��_L ��I�L%R�CE\]DV��DGAEAEM]\]AE\]DZ_I�N `@K�I�AEAr I�A CEDGL%NkM]\]X[Z;CEDGF �^E^E\]M]CELEAEi c��O���2DGA&NkAEDGZErsDGAa� ��\]D�^tDG\ CEDGA)�Dp�WbNkDGrsCEF�PLEX[K�DGA pB?BAS . � ^-, �B�B� ��� ���B�B��( D � U I�L%R iBDGAE?BrsrsDGAEDGA2��DGAEAEM]\]AE\]DGA M]\]DGiBDGA \]r qfDGFYDG\]X[Z2CEDGFVU.D ��diBDGA_I�LE\]iBK�DG\ON+I�L%R DG\]A_I�AECEDGFG�J��?Brs\ON<\]WbN9iBD � DG\]i�N `EC_I��s\]AEAEDGFYZ_I�M]^CEDGW+LEA&NkDGFYWYLEX[Z&NkDGA��Dp�WbNkDGr dCEFYLEX[K�^tDGFYDG\]X[ZEDGW�K�DG\]A�rsD �B^_I�FYDGF+gh\]A��_L �sI�L%R¡CE\]D,��DGAEAEM]\]AE\]D�pB?BFYM]\]DGi�N ���r ��DGiBDGAEWkI�N ��� LEF�^EZ PI�AEiB\]iBK�DG\ON9^tDG\ K�M]DG\]AEDGAV��\]X[Z&NkD&PI�AECEDGFYLEAEiBDGAw\]WbN9CE\]D �^EZ PI�AEiB\]iBK�DG\ONpB?BA CEDGFz��FYDGZ � I�ZEM�A_I�X[ZEiBDj�9\]DGWYDGAa�B��\]D@pB?BA � ���.����� � ¢ ��R DGWbNkiBDGWbNkDGM]MONkD �^EZ PI�AEiB\]iBK�DG\ON � DG\]i�N�^E^E\]M]CELEAEi c��O�B�B�gh\]iBDGAED U.DGWYWYLEAEiBDGA ^tDG\ CE\OpBDGFYWYDGA)��FYDGZ � I�ZEM]DGA � WG���^E^a�{c��O�Q�B� � DG\]iBDGA DG^tDGA%RcI�M]M]W$DG\]A

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c�� � �<� �w� ��� �D� ������� � � ������ �*� �� � ���e�����Z�,���y�Z���� � �B�a���Z���

0

2

4

6

8

10

12

14

16

18

20

22

24

Dru

ckza

hlψ

0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1

Lieferzahl ϕF

n/n = 1.00

4.54.0

3.53.0

2.52.0

1.5

5.0

n = 1000 min0-1

ψ = 2 y / u ²a

ϕF K m= c / u

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0,0 0,2 0,4 0,6 0,8 1,0

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n=1000 min-1

n=1500 min-1

n=2000 min-1

n=2500 min-1

n=3000 min-1

n=3500 min-1

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b �8d��8d � ;OC�E@aGDI�=�6 T�TB@�C�E �*C?6 TBC�E�;�=?> 6SM Q 6S=L7 \ �];�=�9_35;O@�7 \ �

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Volumenstrom [m /h]3

AEinlaß=30,4 cm2

AEinlaß=38 cm2

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Volumenstrom [m /h]3

90˚-Umlenkung scharfkantig90˚-Umlenkung abgerundet

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ohne 45˚-Fase am Laufrad

mit 45˚-Fase am Laufrad

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Volumenstrom [m /h]3

ohne weitere Saugseitenveränderung

zusätzliche Abrundung in der Saugseite

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Verstellwinkel [˚]

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Volumenstrom [m /h]3

lineare SKE ohne Änderungen

kurze SKE incl. aller Änderungen

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