Karamin Turbin na Hawa da Kyakkyawan Betz

Don samun abinci da zafi mai wind turbine, za a iya bincike masu kawo-kawo mai yawa da ake nuna a cikin wannan taurari. A yi amfani da V1 don sanya zafi a ingantaccen kawo-kawo, kuma V2 don sanya zafi a fagantaccen kawo-kawo. Yadda maimaitoci m mai zafi ya shiga wannan kawo-kawo mai yawa a fili.
A nan, saboda haka maimaitoci, cinzurun zafi a ingantaccen kawo-kawo shine,

Duk da haka, saboda haka maimaitoci, cinzurun zafi a fagantaccen kawo-kawo shine,


Saboda haka, cinzurun zafi ya badala, a lokacin da adadin zafi na maimaitoci ya shiga daga inganta zuwa faganta kawo-kawo mai yawa shine,

Kamar da ake bayar, maimaitoci m mai zafi ya shiga wannan kawo-kawo mai yawa a fili. Saboda haka, abinci da aka ci zafi shine cewa wata cinzurun zafi wanda ya badala a lokacin da adadin zafi na maimaitoci ya shiga daga inganta zuwa faganta kawo-kawo.

Ake nufin abinci daidai da rawa da cinzurun zafi a fili. Saboda haka, wannan abinci da aka ci zafi zan iya rubuta cewa,

Saboda maimaitoci m mai zafi ya shiga a fili, ake nufin adadin maimaitoci m wace da abin da suka shiga. Idan ake gano da haka, za a iya tabbatar da cewa adadin maimaitoci m ke daidai a inganta, a faganta, kuma a duk fadada kawo-kawo. Saboda, wadannan adadin zafi da suka shiga kawo-kawo suna shiga daga faganta.
Idan Va, A, da ρ suna nufin zafi, tsakiyar fadada kawo-kawo, da kuma tsayi na zafi a matsayin karamin karamin turbin, adadin maimaitoci m zan iya nufin cewa

A nan, idan ake gudanar da m da ρVaA a cikin (1), za a iya samun cewa,

A nan, saboda an yi amfani da turbin a cikin kawo-kawo, zafi a matsayin karamin karamin turbin zan iya nufin cewa shine zafi na musamman daga V1 da V2.

Idan an yi amfani da (3) don samun abinci mafi yawa, za a iya koyar da (3) da V2 kuma ake gudanar da zero. Cewa, za a iya samun cewa,

Betz Coefficient

Daga (4) ana iya samun cewa abinci mafi yawa da aka ci zafi shine murabba 0.5925 daga jumla cinzurun zafi. Wannan murabba shine Betz Coefficient. Abinci da aka ci zafi ya ake gano kamar da theory of wind turbine amma abinci na kayan aiki da ake samu ne da generator ita ce mai yawa da wannan saboda kawo-kawo da kuma baton lissafi na aerodynamic design na turbin.

Daga (4) ana iya samun cewa abinci da aka ci zafi shine

1. Musamman da tsayi na zafi. Idan tsayi na zafi yana daɗe, abinci na turbin yana daɗe.

2. Musamman da tsakiyar fadada karamin karamin turbin. Idan tsakiya na karamin karamin yana daɗe, radius na tsakiya yana daɗe, saboda haka abinci na turbin yana daɗe.

3. Abinci na turbin yana canza da zafi3 na zafi. Wannan na nufin cewa idan zafi na zafi yana daɗe biyu, abinci na turbin yana daɗe biyu.

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