Zvinhu Zviri Pamvura Dzisingachinji uye Dzinochinja
Fluid mechanics, rimwe remapazi makuru mu continuum mechanics, inzvimbo inodzidza maitiro emvura (zvinwiwa nemagasi) mune zvese mamiriro ekunze uye ekunze. Kupatsanurwa muzvikamu zviviri: static (mvura iri pakuzorora) uye dynamic (mvura iri kufamba) kunobvumira kunzwisisa kwakarongeka kwekuti mvura inoshanda sei nemasimba uye kuti hunhu hwayo hwepanyama hunoonekwa sei mumamiriro akasiyana. Chinyorwa chino chinotarisa misimboti yakakosha yemvura mumamiriro ekunze uye ekunze, ichiongorora hunhu hwayo, kutonga equation, uye mashandisirwo chaiwo enyika.
Hunhu hweMafuta
Basic Properties
– Kuwanda (ρ): Kuwanda kwehuwandu (density) ihuwandu hwehuwandu hwemvura payuniti. Ndihwo hunhu hwakakosha hunokanganisa maitiro emvura mumamiriro ese ari maviri asingachinji uye anoshanduka.
– Viscosity (η): Viscosity ndiyo chiyero chekusagona kwemvura kuchinjika. Inotsanangura kukweshana kwemukati mukati memvura. Viscosity inokanganisa maitiro ekuyerera uye kupararira kwesimba mumvura inoshanduka.
– Kumanikidzwa (P): Kumanikidzwa isimba rinoshandiswa pachikamu chimwe nechimwe chemvura, rinokosha mu hydrostatics uye hydrodynamics.
Zvimwe Zvivakwa
– Kusimba kweUso: Iri isimba rinobatanidza pamusoro pemvura, richikanganisa zvinhu zvakaita se capillarity uye madonhwe.
– Kudzvanyirira: Kunyange zvazvo zvinwiwa zvisingawanzo kudzvanyirira, magasi anoratidza kusiyana kukuru mukuwanda kwemafuta pasi pekumanikidzwa kwakasiyana.
– Kufambisa Kupisa: Hunhu uhwu hwakakosha pakunzwisisa kutamiswa kwekupisa mumvura, hwakakosha kune zvese zviitiko zvechisikigo uye zvemaindasitiri.
Mvura Dzisingachinji
Hydrostatics
Hydrostatics idzidzo yemvura inenge yasara. Chinangwa chikuru ndechekunzwisisa kugoverwa kwedzvinyiriro mukati memvura uye kuti masimba ekunze, akadai segiravhiti, anopesvedzera sei kugoverwa uku.
Hydrostatic Pressure
Kumanikidzwa kwemvura kunokonzerwa ne:
\[ P = \rho gh + P_0 \]
Where:
– \( P \) ndiko kumanikidzwa pakadzika \( h \).
– \( \rho \) ndiko kuwanda kwemvura.
– \( g \) ndiko kukurumidza kunokonzerwa negiravhiti.
– \( P_0 \) isimba remhepo riri pamusoro pemvura.
Iyi equation inoratidza kuti kumanikidzwa kunowedzera kurongeka nehupamhi hwemvura mukoramu yemvura. Iyi nheyo inokosha pakunzwisisa zviitiko zvakaita sekudzika kwemvura uye dhizaini yezvimiro zvine mvura zvakaita semadhamu nengarava dzepasi pemvura.
Buoyancy
Nheyo yaArchimedes inoti muviri wakanyudzwa mumvura unowana simba rinodzika rakaenzana nehuremu hwemvura yakabviswa. Kudzika kwakakosha pakugadzira midziyo yeropa uye kunzwisisa kugadzikana kwezvinhu zvinoyangarara. Simba rinodzika \( F_b \) rinogona kuratidzwa seizvi:
\[ F_b = \rho V g \]
Apo \( V \) ihuwandu hwemvura yakabviswa.
Mvura Dzinochinja-chinja
Fluid Dynamics
Kuchinjana kwemvura kunosanganisira kudzidza kwemvura iri kufamba. Inosanganisira zvidimbu zvakasiyana-siyana, kusanganisira aerodynamics uye hydrodynamics, nemashandisirwo akasiyana-siyana kubva pakugadzira ndege kusvika kuinjiniya yemapaipi.
Equations dzaEuler naNavier-Stokes
Kufamba kwemvura kunogona kutsanangurwa neEuler's equations yemvura yakanaka (isina viscous) uye Navier-Stokes equations yemvura inona viscous.
- Equation yaEuler:
\[ \frac{\partial \mathbf{u}}{\partial t} + (\mathbf{u} \cdot \nabla)\mathbf{u} = -\frac{1}{\rho} \nabla P + \mathbf{f} \]
- Navier-Stokes Equation:
\[ \rho \left( \frac{\ partial \mathbf{u}}{\ partial t} + (\mathbf{u} \cdot \nabla)\mathbf{u} \kurudyi) = -\nabla P + \mu \nabla^2 \mathbf{u} + \mathbf{f} \]
Apo \( \mathbf{u} \) iri nzvimbo yekukurumidza, \( P \) iri kumanikidzwa, \( \mu \) iri dynamic viscosity, uye \( \mathbf{f} \) inomiririra masimba emuviri, akadai segiravhiti.
Kuyerera Kwemvura Yakasviba Uye Isingadzoreki
– Kuyerera kweLaminar: Kunoratidzwa nezvikamu zvakapfava, zvakarongeka zvemvura uye zvisingasanganisike zvakanyanya. Zvinotsanangurwa nenhamba yakaderera yaReynolds (\( Re \)), uye kumhanya kwekuyerera kwacho kwakafanana. Muenzaniso ndiko kuyerera kweuchi.
– Kuyerera Kwemvura Inovhuvhuta: Kunoonekwa nekufamba kwemvura isina kurongeka, isina kurongeka uye kusanganiswa kwakakosha. Izvi zvinoitika panhamba yaReynolds yakawanda. Kuyerera kwemvura inovhuvhuta kwakajairika munzvimbo dzemvura dzechisikigo uye mumaindasitiri.
Bernoulli's Principle
Pfungwa yaBernoulli ipfungwa huru mukuchinjana kwemvura, inobatanidza kumanikidzwa uye kumhanya mumvura inofamba. Inotaura kuti kuwedzera kwekumhanya kwemvura kunoitika panguva imwe chete nekuderera kwekumanikidzwa kana simba rinogona kumuka. Equation yaBernoulli yekuyerera kusingapindiki ndeiyi:
\[ P + \frac{1}{2} \rho u^2 + \rho gh = \text{constant} \]
Nheyo iyi inokosha pakutsanangura zviitiko zvakaita sekusimudzwa kwemapapiro endege uye mhedzisiro yeVenturi.
Computational Fluid Dynamics (CFD)
CFD inzvimbo inoshandisa ongororo yenhamba uye maalgorithms kugadzirisa nekuongorora matambudziko ane chekuita nekuyerera kwemvura. Vachishandisa makombiyuta makuru, mainjiniya nemasayendisiti vanogona kutevedzera kudyidzana kwakaoma kwemvura mumamiriro akasiyana-siyana, vachigadzirisa magadzirirwo emasisitimu kubva kumotokari dzemitambo kusvika kumamodeli ezvakatipoteredza.
Mashandisirwo eFluid Mechanics
Engineering uye Technology
Magadzirirwo emvura akakosha mumabasa akasiyana-siyana einjiniya. Nheyo dzehydrostatics uye fluid dynamics dzinoshandiswa mu:
– Uinjiniya hwezvivakwa: Madhamu, masisitimu ekugovera mvura, uye masisitimu etsvina.
– Uinjiniya hwendege: Kugadzira ndege, masisitimu ekufambisa maroketi, uye aerodynamics.
– Uinjiniya hweMichina: Masisitimu eHVAC, maturbine, mapombi, uye magadzirirwo emotokari.
– Uinjiniya hweMarine: Kuvaka ngarava, dhizaini yengarava dzemugungwa, uye zvivakwa zvekunze kwegungwa.
Environmental Science
Kunzwisisa maitiro emvura inoyerera kwakakosha musainzi yezvakatipoteredza pakuenzanisa mafungu egungwa, kufanotaura mamiriro ekunze, uye kutarisira zviwanikwa zvemvura. Zvidzidzo zvemvura zvinotsamira zvakanyanya pakugadzira mafungu emvura kuti zvifanotaura mafashamo uye kutonga matangi emvura.
mushonga
Nheyo dzemakanika emvura dzinoshanda mumuviri wemunhu, kunyanya pakunzwisisa kuyerera kweropa uye makanika ekufema. Ruzivo urwu runobatsira pakugadzira michina yekurapa yakaita semwoyo yekugadzira uye mafemota.
mhedziso
Kudzidza nezvemvura isingachinji uye inoshanduka kunosanganisira nzvimbo yakakura uye yakakosha yefizikisi neinjiniya, ine misimboti yakakosha kune ese mashandisirwo munzvimbo dzakasiyana. Hunhu hwekutanga uye maequation anotonga zvinopa hurongwa hwakasimba hwekufanotaura nekugadzirisa maitiro emvura munzvimbo dzakasiyana-siyana, kubva kuzvisikwa zvechisikigo kusvika kune maitiro akaomarara emaindasitiri. Ingave kugadzira zvivakwa zvakachengeteka, mota dzinoshanda zvakanaka, kana zvishandiso zvekurapa zvepamusoro, nzwisiso inowanikwa kubva kumvura inoshanduka inotungamira hunyanzvi nekunzwisisa mune zvese zvakasikwa uye zvakagadzirwa.