Ejercicios de Fluidos

 

K¹ a ahkuhgs hkuh gs _r`b _r`bdr dr Yahhdr Dhdktrgc` Dhdktrgc`irauh irauh`ka `ka y Dhdk Dh dktr trg g md mdub ub¹ ¹ at`k at`ka. a. Gktav`g Egs¹d Bart`md Bart`mdzz [arb`dmtg K.K51?;>4?43 4?433>411 4 id [dpt`dbnrd id >?>?

1.

^dsp ^dspud udst stas as Dedr Dedrk` k`k` k`gs gs

1. Tm ﬎u`ig ded dedrkd rkd uma prds prds`¹ `¹ gm gm id :?? ??? _askahds sgnrd uma supdrfik`d id ?,??1> b>. Cahhar ha judrza qud dedrkd dh ﬎u`ig sgnrd ha supdrfik`d. J    2   _   ∜ A J    2 (:??fpa fpa)(? )(?,,??1> ??1> b  b > ) J    2 ?  M  >. Tm ﬎u`ig dedrkd uma prds`¹ggm m id :????? :?????M/b M/b>> sgnrd uma supdrfik`d k`rkuhar id ?,?14 b id i`¹aabdtrg. bdtrg. Cahhar ha judrza qud dedrkd dh ﬎u`ig sgnrd ha supdrfik`d.  Ϗ >  i 9  Ϗ   (? (?,,?14 ?14 b A  2  b))> 9 A  2 1, J   J   2 (: (:?? ???? ????M/b M/b>)(1 >)(1,, ) A  2

J   J   2 1?:,?>33 ?>33 M   M  ;. Tm ﬎u`ig ded dedrkd rkd uma prds prds`¹ `¹ ggm m id 4????? 4?????M/b M/b>> sgnrd uma supdrfik`d. [` ha judrza dedrk`ia pgr dh ﬎u`ig sgnrd i`kca supdrfik`d ds id >???M  >???M . Kahkuhar dh vahgr id ha supdrfik`d.   J  _    >???M  >???M  A  2 4?? f 4??  fpa pa A  2 9 ∜ 1?∞; b>

A  2

9. [gh [ghuk` uk`¹¹ggm m a kgmvdrs`gmds dm nards5 a) 1???? pa 1????  pa ⇞ ?,1 nar n) ?,1 B pa ⇞ 1 nar 1

 

k) 1? B 1? B _ a ⇞ 1? 1? nar  nar i)

?,   _ 1 Z 1 Z >  2 _ >   ;?? f ;??  fpa pa ∜ ?,; b ; Z >  2 4?? f 4??  fpa pa Z >  2 ?,13 13 b  b ; 3. Tm p`st¹ggm m kdrraig id vghubdm ;4 ;4kb m id > nards. Idtdrb`mar ha kb;; kgmRdmd a`rd a uma prds`¹ggm prds`¹gm gm qud ahkamzara dh las s` i`sb`mu`bgs su vghubdm casta hgs 1? 1?kb kb;. ;.

>

 

_ 1 Z 1  2   _ > Z >   _ 1Z 1 _ >  2 Z >   > nards ∜ ?,;4 ;4 b  b ; _ >  2 ?,1? 1? b  b ; _ >  2 <  nards 0. [gh [ghuk` uk`¹¹ggm m a kgmvdrs`gmds dm dm b  b ;/s /s55 a) >? H/s >? H/s

⇞

?,?> ?> b  b; /s

n) 9?? 9?? H/b`m  H/b`m ⇞ :,: ∜ 1?∞; b; /s k) 14? 14? kb  kb; /s ⇞ 1,4 ∜ 1?∞9 b; /s i) ;4? ;4? kb  kb; /s ⇞ ;,4 ∜ 1?∞9 b; /s d) >?? H/c >??  H/c

⇞

?,44 44 b  b; /s

j) :? :? b  b ; /c ⇞ ?,?1: ?1: b  b; /s l) 4??? H/c 4???  H/c

⇞

?,1;3 1;3 b  b ; /s

c) 4?? 4?? kb  kb; /s ⇞ 4 ∜ 1?∞9 b; /s 1?. Kahku Kahkuhar har dh vahg ahgrr id ha jud judrz rzaa ids idsarr arrghh ghhaia aia pgr uma prd prdmsa msa c`i c`ir¹ r¹ aauh`ka uh`ka igmid   J 1   2 1M 6 M 6 > > [ 1  2 1? 1?kb kb 2 y  [ >  2 1b . [` has prds`gmds sgm `luahds.   J > J 1 2 [ > [ 1   J 1 ∜ [ > J >   2 [ 1   1 M   ∜ 1  b> J >   2 ?,??1 ??1 b  b> J >   2 1??? M  11. Dm uma prd prdmsa msa c`ir c`ir¹¹aauh`ka, uh`ka, pgidbgs rdah`zar uma judrza b¹aax`ba x`ba id 4? M. [` ha sdkk`¹ggm m id hgs p`stgmds sgm id 4? kb> y >?? kb>6 ·Kuah ds ha judrza b¹aax`ba x`ba qud pgidbgs gntdmdr dm dh sdlumig p`st¹ggm7 m7   J > J 1 2 [ > [ 1   J 1 ∜ [ > J >   2 [ 1  ∜ ??4b b> J >   2   1 M  1 ?,??4 ?,?> ?> b  b > J >   2 >??  M 

;

 

1>. Idtd Idtdrb`ma rb`ma ddhh pdsg b¹ aax`bg x`bg qud sd pgir¹a hdvamtar kgm um latg c`ir¹aauh`kg uh`kg s` ha judrza sgnrd dh ¹ddbngh bn ghgg pdqud pd qud˘ m mg ˘ g ds id 3? M, y hgs i`¹aabdtrgs bdtrgs id hgs ¹ddbnghgs bnghg s sgm 1 kb y >> kb rdsp rdspdkt`vabdmtd. dkt`vabdmtd. i1  2 1  kb  kb 2  2 ?,?1 ?1 b  b i>  2 >> >> kb  kb 2  2 ?,>> >> b  b   Ϗ > A  2 i 9  Ϗ >  ∜

[ 1  2 9 (? (?,,?1 ?1 b  b)) [ 1  2  Ϗ   ∜ (? [ >  2 (?,,>> >> b  b))> 9 [ >  2 ?,?;3 ?;3 b  b >   J 1 ∜ [ > J >  2 [ 1   3? 3? M   M   ∜ ?,?;3 ?;3 b  b > J >  2   2 ;3< 3