Zvinhu Zvisingachinji uye Zvinochinja-chinja
Zvinhu zvine mvura (fluids) inyaya inonakidza mufizikisi, sezvo zvichisanganisira hunhu nemaitiro ezvinhu zvinogona kuyerera, zvakaita semvura negasi. Zvinhu zvine mvura (fluid statics) uye simba remvura (fluid dynamics) matavi maviri makuru ekudzidza nezvemvura, rimwe nerimwe riine hunhu hwaro hwakasiyana uye mashandisirwo aro. Muchinyorwa chino, tichaongorora hwaro hwesimba remvura (fluid statics) uye simba remvura (fluid dynamics theory), pamwe nemimwe mienzaniso chaiyo yekushandiswa kwazvo muhupenyu hwezuva nezuva.
Mvura Isina Kumira
Mvura isingachinji mvura mvura inenge yakanyarara, zvichireva kuti haisi kufamba. Kudzidza nezvemvura isingachinji kunowanzonzi hydrostatics. Mamwe mazano akakosha mumvura isingachinji anosanganisira hydrostatic pressure , Pascal's principle, uye Archimedes' law.
Kumanikidzwa kwemvura
Kumanikidzwa mumvura isingachinji (static fluid) isimba rinoshanda pachikamu chimwe nechimwe uye rinowanzoita zvakafanana kumativi ese. Kumanikidzwa uku kunokonzerwa nehuremu hwemvura iri pamusoro penzvimbo yekucherechedza. Hydrostatic pressure equation inoratidzwa seizvi:
\[ P = P_0 + \rho gh \]
di mana:
– \( P \) ndiko kumanikidzwa pakadzika \( h \).
– \( P_0 \) ndiko kumanikidzwa kwepamusoro.
– \( \rho \) ndiko kuwanda kwemvura.
– \( g \) ndiko kukurumidza kunokonzerwa negiravhiti.
– \( h \) ndiko kudzika.
Muenzaniso wakapfava ndewekumanikidzwa kunonzwa nemudhayi paanopinda mumvura. Kana mudhayi akadzika, kumanikidzwa kwaanonzwa kunowedzera nekuda kwehuremu hwemvura iri pamusoro pavo.
Nheyo yaPascal
Nheyo yaPascal inoti shanduko mukumanikidzwa chero kupi zvako mumvura yakavharirwa inopfuudzwa zvakaenzana mumvura yese. Nheyo iyi ine mashandisirwo akawanda anoshanda, akadai sema hydraulic systems. Semuenzaniso, mu hydraulic jack, simba diki rinoshandiswa pa piston diki rinoburitsa simba guru pa piston yakakura.
Mutemo waArchimedes
Mutemo waArchimedes unoti chero chinhu chakanyudzwa zvishoma kana zvachose mumvura chinozowana simba rinokwira rakaenzana nehuremu hwemvura inobviswa nechinhu chacho. Simba iri rinodzika rinozivikanwa semvura inodzika.
\[ F_b = \rho g V \]
di mana:
– \( F_b \) isimba rinosimudza.
– \( \rho \) ndiko kuwanda kwemvura.
– \( g \) ndiko kukurumidza kunokonzerwa negiravhiti.
– \( V \) huwandu hwemvura inobuda muropa.
Muenzaniso ndewekuti ngarava inoyangarara pamusoro pemvura. Ngarava inogona kuyangarara nekuti huremu hwemvura yainobvisa hwakaenzana nehuremu hwengarava pachayo, zvichigadzira simba rinokwira.
Kushanduka Kwemvura
Kunze kwemamiriro ezvinhu asingachinji, mvura inowanzo famba kana kuyerera. Kudzidza maitiro emvura inofamba kunozivikanwa se hydrodynamics. Mamwe mazano akakosha mu fluid dynamics anosanganisira continuity equation, Bernoulli equation, uye Navier-Stokes laws.
Kuenderera mberi kweEquation
Equation yekuenderera mberi inotaura kuti mukuyerera kwemvura isingapindike, mwero wekuyerera kwemvura muchikamu chemvura unofanira kuenzana nemwero wekubuda kwemvura. Equation iyi inogona kuratidzwa seinotevera:
\[ A_1 v_1 = A_2 v_2 \]
di mana:
– \( A_1 \) uye \( A_2 \) ndidzo nzvimbo dzakapatsanurwa dziri panzvimbo 1 ne2.
– \( v_1 \) uye \( v_2 \) ndiwo mafambisirwo emafambiro ari pamapoinzi 1 ne2.
Muenzaniso ipaipi yemvura ine magumo matete. Kana paipi yakadzvanywa kumagumo, mvura inobuda nekukurumidza nekuti nzvimbo iri kumagumo kwepaipi inenge iri diki.
Equation yaBernoulli
Equation yaBernoulli inoti mukuyerera kwemvura kusingapindiki, kusina kukweshana, huwandu hwesimba remakanika (pressure, kinetic energy, uye potential energy) payuniti imwe neimwe hunoramba huripo. Equation iyi yakanyorwa seizvi:
\[ P + \frac{1}{2} \rho v^2 + \rho gh = \text{constant} \]
di mana:
– \( P \) ndiko kumanikidzwa kwemvura.
– \( \rho \) ndiko kuwanda kwemvura.
– \( v \) ndiyo kumhanya kwekuyerera kwemvura.
– \( g \) ndiko kukurumidza kunokonzerwa negiravhiti.
– \( h \) ndiko kukwirira kuri pamusoro penzvimbo yekunongedzera.
Muenzaniso chaiwo wemuenzaniso waBernoulli ndewebapiro rendege. Chimiro chebapiro rendege chakagadzirwa kuitira kuti mhepo inoyerera pamusoro pebapiro ive nekumhanya kwakanyanya kupfuura mhepo iri pasi pebapiro. Izvi zvinoita kuti kumanikidzwa kuderera pamusoro pebapiro kupfuura pasi, zvichiita kuti ndege ikwire kumusoro iyo inobvumira ndege kubhururuka.
Mutemo weNavier-Stokes
Mitemo yeNavier-Stokes iboka remaequations anotsanangura kufamba kwemvura. Maequations aya akaoma uye anosanganisira ongororo yakaoma yemasvomhu, asi akakosha pakunzwisisa mashandiro emvura. Mitemo iyi inotora chimiro ichi:
\[ \rho \left( \frac{\partial \mathbf{v}}{\partial t} + \mathbf{v} \cdot \nabla \mathbf{v} \kurudyi) = -\nabla P + \mu \nabla^2 \mathbf{v} + \mathbf{f} \]
di mana:
– \( \rho \) ndiko kuwanda kwemvura.
– \( \mathbf{v} \) ndiyo kumhanya kwekuyerera kwemvura.
– \( \mu \) ndiko kusimba kwemvura.
– \( \mathbf{f} \) isimba rekunze pavhoriyamu yeyuniti.
Iyi equation ndiyo hwaro hwemashandisirwo akawanda einjiniya , kusanganisira kutevedzera kuyerera kwemhepo yakatenderedza mota, kuyerera kweropa mumidziyo, uye kugoverwa kwemafuta mumapaipi.
Maitiro Ekushandisa Mvura Isina Kusimba Uye Inochinja-chinja
Pfungwa dze fluid statics uye dynamics dzinoshandiswa muzvikamu zvakasiyana-siyana zvakaita se civil engineering, mechanical engineering, medicine, meteorology, uye zvakatipoteredza. Mamwe mashandisirwo chaiwo anosanganisira:
1. Kugadzira Dhamu neDziva: Kushandisa misimboti yekumanikidzwa kwemvura uye mutemo waArchimedes kuona kuti zvivakwa zviri pasi pekumanikidzwa kwemvura zvakagadzikana.
2. Sisitimu yeHydraulic: Kushandiswa kwemutemo waPascal mukushandisa mabhureki ehydraulic emotokari nemidziyo yekuvaka.
3. Kufamba Nendege: Kushandiswa kwemuenzaniso waBernoulli pakugadzira mapapiro endege kuti agadzire simba rekusimudza.
4. Kuenzanisa Mamiriro Ekunze: Kushandisa mitemo yeNavier-Stokes kunobatsira kufanotaura maitiro emhepo nezvimwe zviitiko zvemamiriro ekunze.
5. Zvekurapa: Kuongorora kuyerera kweropa uchishandisa nzira dzekuchinja kwemvura kuti uzive chirwere chemwoyo.
Mhedziso
Kunzwisisa nheyo dze fluid statics uye dynamics kwakakosha mukushandiswa kwakasiyana-siyana kwesainzi neinjiniya . Nekunzwisisa hunhu uye maitiro e fluids, masayendisiti nemainjiniya vanogona kugadzira nekugadzira matekinoroji anoshanda uye akachengeteka, kubva kundege kusvika kumidziyo yekurapa. Fluid statics inopa ruzivo rwekuti fluids dzinoita sei pakuzorora, nepo fluid dynamics ichiratidza kuoma kwe fluid function mukuyerera. Zvese zviri zviviri zvakakosha mumunda wefizikisi unoramba uchichinja.
