Mecanica de Fluidos Unidad 6

 

:. NE]VCMWDDNCE IH JHWKC GE ]WFGVNIT :.9 ]WFGVNIT GE TGVNG Tg `ifhi mg tufgrïis ge sgrng duiemc sg qungrg hhgvir gh jhunmc mg ue puetc i ctrc puetc pcr ue schc dionec. Dcoc ge gh gkgophc mg hi jnauri. Ge gstg disc sg duophge his hgygs snaungetgs; Hcs diumihgs sce hcs onsocs piri dimi uec mg hcs triocs mg tufgrïi; Y?Y 9?Y 6? … Yn

His pîrmnmis mg dirai mg dimi uei mg his sgddncegs sg suoie; ` H ?` H 9 + ` H 6 + … + ` Hn

Hcs prcfhgois mg ditgacrïi 9 sce mnrgdtcs y sg iphndie ge gh déhduhc mg hi pctgedni mg uei fcofi, hcs prcfhgois mg ditgacrïi 6 y 4 ge diofnc rgqungrge mg ue prcdgsc ntgritnvc duiemc sg utnhnzi gh mniarioi mg Occmy, tgoi :. Gxnstge imgoés mg hcs oîtcmcs gstumnimcs ge gh tgoi :, oîtcmcs iprcxnoitnvcs ge hcs duihgs sg utnhnzie ueis gduidncegs gopïrndis piri hi schudnôe mg prcfhgois mg gstis trgs dhisgs. Wec mg gstcs oîtcmcs gs gh usc mg his jôrouhis mg Twiogg-Kine (9>1:), qug pgrontge gh déhduhc piri ue trioc mg tufgrïi;

 

]iofnîe gs dcoûe gxprgsir hi pîrmnmi mg dirai piri dimi trioc mg tufgrïi dcoc;  x

` H ? VY

Mcemg V sg mgeconei mgeconei dcgjndnget dcgjndngetg g mg rgsnstged rgsnstgedni ni y gh gh gxpcegetg gxpcegetg x vihg 6 piri jhukcs tctihogetg turfuhgetcs y ue vihcr getrg 9 y 6 piri jhukcs ge hi zcei mg triesndnôe. Tne gofirac sg sughg usir dcoûeogetg ue vihcr mg 6. Tn sg utnhnzi gstg tnpc mg jcrouhidnôe piri hi pîrmnmi mg dirai, hi pîrmnmi mg dirai tctih, tcoiemc tcmcs hcs triocs, sgré;  x

` H ? Τ Vn Y

Ge gstg disc sn sg utnhnzi hi gduidnôe mg Mirdy-Qgnsfid` piri gh déhduhc mg hi pîrmnmi mg dirai y gh mniarioi mg Occmy piri gh déhduhc mgh jidtcr mg jrnddnôe, x ? 6 y gh vihcr mg V sgré;  V ?

  0 jH 6

a ∃  M

7

Tn sg utnhnzie his gduidncegs mg Twiogg-Kine gh vihcr mg V sgré;

 

Gxnstge tiofnîe ctris gduidncegs gopïrndis qug pgrontge gh déhduhc mgh dcgjndngetg mg rg rgsn snst stge gedn dni. i. Wei mg ghhi ghhis s gs hi gxpr gxprgs gsnô nôe e mg V pir piri hi gdui gduid dnôe nôe mg @izgeQnhhnios;  V ?

  B 9 H 9,07

D   M

=,01

Mcemg D gs gh dcgjndngetg mg @izge-Qnhhnios qug mgpgemg schc mg hi ispgrgzi (vgr tifhi) y B 9 gs uei dcestietg qug mgpgemg mgh snstgoi mg uenmimgs utnhnzimc; piri pi ri TN B 9 ? 9 y piri piri uenm uenmim imgs gs neah neahgs gsis is B 9 ? =,16 =,16.. Ctri Ctri mg gsti gstis s gxprgsncegs gopïrndis gs hi gxprgsnôe pir V piri hi gduidnôe mg D`gzy-Oieenea, D`gzy-Oieenea, qug qu g sg us usi i oiycro oiycroge getg tg piri piri jhukc jhukc ge dieih dieihgs gs ifngr ifngrtcs tcs,, pgrc pgrc pugm pugmg g tiofn tiofnîe îe utnhnzirsg ge pugmg tiofnîe utnhnzirsg ge gh disc gh disc mg jhukc ge mg jhukc ge tufgrïis, prnednpihogetg duiemc tufgrïis, prnednpihogetg duiemc sg gstumni gh jhukc ge mrgeikgs qug jhuyge hhgecs. \iri gsti gduidnôe hi gxprgsnôe mgh dcgjndngetg mg rgsnstgedni gs; 6

 V ?

9 e  H

 B 6 M

7,46

Mcemg e gs gh dcgjndngetg mg Oieenea (vgr tifhi) y B 6 mgpgemg mgh snstgoi mg uenmimgs; uenmimg s; \iri TN B 6 ? 9 y piri uenmimgs uenmimgs neahgsis B 6 ? 6,66. Hi vgetiki mgh usc mg gstis ûhtnois ûhtnois mcs jcrouhidnc jcrouhidncegs egs gs qug pgrontg pgrontge e mgtgroneir mgtgroneir ue vihcr mg dc dcgj gjnd ndng nget etg g mg rgsn rgsnst stge gedn dni i nemg nemgpg pgem emng nget etg g mgh mgh eûog eûogrc rc mg Vgye Vgyech chms ms,, y su nedcevgengetg nedcevg engetg gs qug prgsgetie prgsgetie ue vihcr ouy iprcxnoitnvc, sngemc oés prgdnsc gh oîtcmc oîtc mc mg @izge-Q @izge-Qnhhni nhhnios os qug gh mg D`gzy-Oi D`gzy-Oieene eenea. a. ]cmis ]cmis his gxprgsn gxprgsnceg cegs s ietgrncrgs ietgrncrg s sce rgjgrnmis rgjgrnmis i pîrmnmis mg dirai prnoirnis ge tufgrïis, sne gofirac gofirac sn utnhnziocs gh oîtcmc mg hi hceantum gqunvihgetg piri his pîrmnmis sgduemirnis, fisti fi stiré ré sustn sustntu tunr nr hi hceant hceantum um pcr pcr hi suoi suoi mg hi hcea hceantu ntum m rgih rgih oés oés hi hcea hceantu ntum m gqunvihgetg. gqunvihg etg. \cr gkgophc ge gh disc mg mg hi gduidnôe mg Mirdy Qgnsfid` gh vihcr  mg V sgré;  V ?

0 j   (( H + Hg ) 6

a ∃  M

7

 

:.6 ]WFGVNIT GE \IVIHGHC Tg `ifhi mg tufgrïis pirihghc duiemc sg gstifhgdge virncs dionecs piri hhgvir gh jhunmc mg ue puetc i ctrc. Dcoc ge gh gkgophc mg hi jnauri; Ge gstg disc sg duophge his hgygs snaungetgs; Gh diumih tctih sgré nauih i hi suoi mg hcs diumihgs mg dimi rioi;

Y ?Y 9 + Y 6 + … + Y n

Hi pîrmnmi mg dirai sgré hi onsoi ge dimi uei mg his riois; ` H ?` H 9?` H 6 ?…? ` Hn

Gstc `idgpgrmnmi qug hcsmg diumihgs mgdimi dimirioi rioimg sgtufgrïi, ikustge getrg mg oiegri qug9 sg hi onsoi dirai ge gh puetc y ghprcmuzdi puetc 6 piri gh gkgophc. Tn ge gh gkgophc mg hi jnauri iphndiocs hi gduidnôe mg Fgrecuhhn agegrihnzimi getrg hcs puetcs 9 y 6 tgemrgocs;

C hc qug gs hc onsoc;

 

Mcemg sn supcegocs qug ge I y F his tufgrïis sce nauihgs, his vghcdnmimgs sg diedghie, tgemrgocs;

Mcs Mc s tnpcs tnpcs mg prcfhgois pugmge ipirgdgr iquï; • Tg dcecdg hi pgrmnmi mg dirai getrg hcs puetcs I y F, y sg rgqungrg dihduhir hcs diumihgs piri dimi rioi y gh diumih tctih. Ge gstg disc dce hi pgrmnmi mg dirai dce dc ecdn cdnmi sg dihdu hduhie hie hcs hcs diumihgs hgs mg dimi rioi rioi dce dimi gduidnô idnôe e nemgpgemngetgogetg y gh diumih tctih sgré hi suoi mg hcs diumihgs pirdnihgs. • Tg dcecdg gh diumih tctih y sg rgqungrg dcecdgr hcs diumihgs pirdnihgs y hi pîrmnmi mg dirai. Ge gstg disc sg tngeg ue snstgoi mg gduidncegs dce tietis gduidncegs dcoc riois oés uei qug rgprgsgeti hi suoi mg diumihgs, y sg tngeg gh onsoc eûogrc mg nedôaentis; Diumihgs pirdnihgs y pîrmnmi mg dirai. Ge gh disc mgh gkgophc gh snstgoi sgrïi;

\cr hc tietc pcmgocs gsdrnfnr;

 

Ge gh disc mg oés mg mcs riois mg tufgrïis sgrïi;

Gvnmg Gv nmgetg etgog ogetg etg gs gstc tc sg vughv vughvg g ue prcdg prcdgsc sc ntgrit ntgritnvc nvc pcrq pcrqug ug gh dcgjn dcgjndng dngetg etg mg pîrmnmi mg dirai V mgpgemg mg hi vghcdnmim, c sgi mgh diumih. I ogecs qug sg us usge ge jcrouh jcrouhidn idnce cegs gs piri piri gh dcgjn dcgjndn dnget getg g mg rgsnst rgsnstge gedni dni qug qug ec mgpg mgpgem emie ie mgh mgh eûogrc mg Vgyechms dcoc gh mg @izge-Qnhhnios y gh mg D`gzy-Oieenea. Ge gh disc mg usir hi jcrouhidnôe dcevgednceih mg Mirdy-Qgnsfid`, gh prcdgmnongetc sughg sgr supcegr nendnihogetg qug gh jhukc sg gedugetri ge hi rganôe tctihogetg turfuhgetc, ge mcemg gh jidtcr mg jrnddnôe j ec mgpgemg mgh eûogrc mg Vgyechms, dihduhir fusdir gh jidtcr mg jrnddnôe ge gh mniarioi mg Occmy piri dimi uei mg his riois y dce gstg gh dcgjndngetg mg rgsnstgedni V . Dce gstg vihcr sg mgtgronei gh vihcr mg hi pîrmnmi mg dirai dce hi gduidnôe;

Dce hi pîrmnmi mg dirai sg dihduhi gh vihcr mgh diumih, gh eûogrc mg Vgyechms, gh dcgjndngetg mg jrnddnôe j y gh eugvc dcgjndngetg mg rgsnstgedni piri dimi rioi. Tg vughvg i dihduhir uei pîrmnmi mg dirai y sg rgpntg gh prcdgmnongetc tietis vgdgs dcoc sgi egdgsirnc, pcr hc agegrih ec sce egdgsirnis oés mg trgs vgdgs.

:.4 VGMGT MG ]WFGVNIT