Fomura Yekuburitsa uye Equation Yekuenderera Mberi
Mufizikisi yemvura uye mainjiniya, kunzwisisa kuyerera kwemvura kwakakosha. Pfungwa mbiri dzinowanzo shandiswa kuongorora kuyerera kwemvura ndedzekubuda uye continuity equation. Chinyorwa chino chichatsanangura fomura yekubuda, continuity equation, uye mashandisirwo ayo muminda yakasiyana-siyana.
Tsanangudzo yeDebit
Kubuda kwemvura muropa inzira yekuyera huwandu hwemvura inoyerera nepakati pechikamu chemvura muchikamu chenguva. Muchirongwa cheSI, kubuda kwemvura muropa kunowanzo kuyerwa muma cubic metres pasekondi (m³/s) kana marita pasekondi (L/s). Nzira yekutanga yekuverenga kubuda kwemvura muropa (\(Q \)) ndeiyi:
\[ Q = A \nguva v \]
di mana:
– \( Q \) ndiyo debit,
– \( A \) inzvimbo inoyerera mvura,
– \( v \) ndiyo kumhanya kwekuyerera kwemvura.
Nemamwe mashoko, kubuda kwemvura kunokonzerwa nekuwedzera nzvimbo inoyambuka uye kumhanya kwekuyerera kwemvura.
Muenzaniso weKuverenga Debit
Semuenzaniso, ngatitii tine pombi ine dhayamita ye 0,5 metres uye mwero wekuyerera kwemvura we 2 metres pasekondi. Kutanga, tinoverenga nzvimbo yepakati pepombi (\( A \)):
\[ A = \pi \left(\frac{d}{2}\right)^2 \]
\[ A = \pi \left(\frac{0,5}{2}\right)^2 \]
\[ A = \pi \nguva 0,25^2 \]
\[ A = \pi \nguva 0,0625 \]
\[ A \inenge 0,196 \, \text{m}^2 \]
Tevere, tinoverenga kuburitswa (\( Q \)):
\[ Q = A \nguva v \]
\[ Q = 0,196 \, \text{m}^2 \times 2 \, \text{m/s} \]
\[ Q = 0,392 \, \text{m}^3/\text{s} \]
Saka, mwero wekuyerera kwemvura mupombi ndeye 0,392 cubic metres pasekondi.
Kuenderera mberi kweEquation
Equation yekuenderera mberi ipfungwa huru mu fluid mechanics iyo inoti mukuyerera kwemvura kusingapindiki, kubuda kwemvura kunofanirwa kugara kuripo mukuyerera kwese. Izvi zvinoreva kuti chigadzirwa chenzvimbo inoyambuka uye kumhanya kwekuyerera chero kupi zvako mukuyerera kwakafanana.
Fomura yekuenzanisa kwekuenderera mberi kwekuyerera kwemvura isingapindike ndeiyi:
\[ A_1 v_1 = A_2 v_2 \]
di mana:
– \( A_1 \) inzvimbo ine zvikamu zviviri,
– \( v_1 \) ndiyo kumhanya kwekuyerera kwemvura panzvimbo yekutanga,
– \( A_2 \) inzvimbo ine zvikamu zviviri,
– \( v_2 \) ndiyo kumhanya kwekuyerera kwemvura panhamba yechipiri.
Muenzaniso weKuverenga neContinuity Equation
Ngatitii tine pombi yakavharika. Panzvimbo yekutanga, pombi ine dhayamita ye 0,5 metres uye kumhanya kwekuyerera kwe 2 metres pasekondi. Panzvimbo yechipiri, pombi inotetepa kusvika pa dhayamita ye 0,25 metres. Tinoda kuwana kumhanya kwekuyerera kwe 2.
Kutanga, tinoverenga nzvimbo yepakati pezvikamu zviviri:
\[ A_1 = \pi \kuruboshwe(\frac{d_1}{2}\kurudyi)^2 \]
\[ A_1 = \pi \kuruboshwe(\frac{0,5}{2}\kurudyi)^2 \]
\[ A_1 = \pi \nguva 0,25^2 \]
\[ A_1 \inenge 0,196 \, \text{m}^2 \]
\[ A_2 = \pi \kuruboshwe(\frac{d_2}{2}\kurudyi)^2 \]
\[ A_2 = \pi \kuruboshwe(\frac{0,25}{2}\kurudyi)^2 \]
\[ A_2 = \pi \nguva 0,125^2 \]
\[ A_2 \inenge 0,049 \, \text{m}^2 \]
Tevere, tinoshandisa equation yekuenderera mberi kuti tiwane \( v_2 \):
\[ A_1 v_1 = A_2 v_2 \]
\[ 0,196 \kawa 2 = 0,049 \kawa v_2 \]
\[ 0,392 = 0,049 v_2 \]
\[ v_2 = \frac{0,392}{0,049} \]
\[ v_2 \inenge 8 \, \text{m/s} \]
Saka, kumhanya kwekuyerera panzvimbo yechipiri kunosvika mamita masere pasekondi.
Kushandiswa kweDischarge uye Continuity Equation
1. Masisitimu Ekugovera Mvura: Mainjiniya anoshandisa pfungwa dzekuenzanisa mvura inobuda uye inoenderera mberi kugadzira masisitimu ekugovera mvura anoshanda, vachiona kuti mvura inoyerera zvakanaka kuburikidza netiweki yemapombi.
2. Kugadziriswa kweMagedhi ekudiridza: Mukudiridza kwekurima, kuverenga mvura inobuda kwakakosha zvikuru kuti zvirimwa zviwane mvura yakakwana.
3. Maindasitiri neKugadzira: Muindasitiri, kudzora kuyerera kwemvura dzakadai semafuta, gasi, kana makemikari kwakakosha pakugadzira. Kushandisa continuity equation kunobatsira pakugadzira masisitimu ekuyerera kwemvura anoshanda.
4. Aerodynamics: Mukugadzira ndege nemotokari, equation yekuenderera mberi inoshandiswa kunzwisisa kufamba kwemhepo yakakomberedza chivakwa, izvo zvakakosha pakuvandudza mashandiro uye kushanda zvakanaka.
Pesvedzero yeZvimwe Zvinhu
Kunyangwe continuity equation ichitora mvura isingapindiki uye kuyerera kwakasimba, mukuita, zvimwe zvinhu zvakaita sekumanikidzwa, tembiricha, uye hunhu hwemvura zvinopesvedzerawo kuyerera. Semuenzaniso, mvura dzinomanikidzwa dzakadai semagasi dzinosangana nekuchinja kukuru kwehuwandu nekuchinja kwekumanikidzwa. Saka, mukuongorora kwakaoma, continuity equation inofanira kubatanidzwa nemitemo yethermodynamics uye fluid equation yemamiriro ezvinhu.
Chidzidzo Chenyaya: Kuyerera kweRwizi
Kuti tiratidze mashandisirwo anoitwa mvura inoyerera uye kuenderera mberi kwayo, ngatifungei nezvekuyerera kwemvura murwizi. Ngatitii tinoda kuona kuti mvura inoyerera sei panzvimbo mbiri dzakasiyana dziri pedyo nerwizi. Pakutanga, rwizi urwu rwakafara mamita gumi uye rune avhareji yehupamhi hwemamita maviri, nechiyero chekuyerera kwemvura chinosvika mita imwe pasekondi. Pachipiri, rwizi urwu runotetepa kusvika pahupamhi hwemamita mashanu uye avhareji yehupamhi hwemamita matatu.
Kutanga, tinoverenga kuburitswa kwekutanga (\( Q_1 \)):
\[ A_1 = \text{width} \times \text{depth} \]
\[ A_1 = gumi \kapetwa 2 \]
\[ A_1 = 20 \, \text{m}^2 \]
\[ Q_1 = A_1 \nguva v_1 \]
\[ Q_1 = 20 \kawa 1 \]
\[ Q_1 = 20 \, \text{m}^3/\text{s} \]
Sezvo mvura ichibuda ichifanira kugara yakatevedza rwizi, saka:
\[ Mubvunzo 2 = Mubvunzo 1 \]
\[ 20 \, \text{m}^3/\text{s} = A_2 \times v_2 \]
Nenzvimbo yechikamu chepamusoro panzvimbo yechipiri (\( A_2 \)):
\[ A_2 = \text{width} \times \text{depth} \]
\[ A_2 = gumi \kapetwa 3 \]
\[ A_2 = 15 \, \text{m}^2 \]
Saka, tinowana kumhanya kwekuyerera panzvimbo yechipiri (\( v_2 \)):
\[ 20 = 15 \kawa v_2 \]
\[ v_2 = \frac{20}{15} \]
\[ v_2 \inenge 1,33 \, \text{m/s} \]
Saka, mwero wekuyerera kwemvura panzvimbo yechipiri ungangoita mamita 1,33 pasekondi.
Mhedziso
Kunzwisisa mwero wekuyerera kwemvura uye maequation ekuenderera mberi kwemvura kwakakosha pakuongorora nekugadzira masisitimu ekuyerera kwemvura. Tichishandisa fomura \( Q = A \times v \) uye equation \( A_1 v_1 = A_2 v_2 \), tinogona kuverenga kuyerera kwemvura mumamiriro akasiyana-siyana, kubva pamapombi eindasitiri kusvika pakuyerera kwemvura yemurwizi. Mashandisirwo epfungwa idzi akakura uye anosanganisira nzvimbo dzakasiyana dzesainzi neinjiniya. Kunzwisisa kwakanaka kwekuyerera kwemvura hakungobatsiri chete pakugadzira masisitimu anoshanda asiwo mukugadzirisa matambudziko anoshanda ane chekuita nekuyerera kwemvura muhupenyu hwezuva nezuva.
