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Concentrado de apendices Robert Mott Mec. de Fluidos, Apuntes de Mecánica de Fluidos

Concentrado de apendices del libro Robert Mott, con los cuales se podran resolver problemas de aplicación de la materia

Tipo: Apuntes

2021/2022

Subido el 04/06/2023

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¡Descarga Concentrado de apendices Robert Mott Mec. de Fluidos y más Apuntes en PDF de Mecánica de Fluidos solo en Docsity!

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HílbtrgHílbtrg

bxtbrgrbxtbrgr

BspbsgrBspbsgr

hb pmrbhhb pmrbh HílbtrgftbrgrHílbtrg ftbrgr Akuog hb írbmAkuog hb írbm

== (puke)(puke) (puke)(puke)^ (ll)(ll)^ (puke)(puke)^ (ll)(ll)^ (puke)(puke)^ (pbs)(pbs)^ (ll)(ll)^ (pbs4)(pbs4)^ (l4)(l4)

'/ab'/ab >. 4 2 >>. 4 2 > 1 1 ..99 2 2 >> ..>> 99 2 2 >. : : 0>. : : 0 >. = : >>. = : > >> ..>> == 22 >> 8 8 ..22 55 4 4 =. 5 1 5=. 5 1 5^ ZZ^ = > ~8= > ~8^ =.184=.184 ZZ k(X2k(X

kkÍÍ >. 9 5 2>. 9 5 2 0 0 ..22 9 9 >> ..>> 88 0 0 == ..44 88 2 2 >> ..44 55 5 5 >> ..>> 44 99 == 5 5 ..>> 99 1 1 8. = : 28. = : 2 ZZ =>"8=>"8 9.::: Z =>-29.::: Z =>-

vv%% >> ..22 >> >> == 44 ..55 >> >> ..>> 88 0 0 == ..44 88 2 2 >. 8 > 4>. 8 > 4 >. > 9 9 2>. > 9 9 2^ = >. 4 == >. 4 = :. : = 8:. : = 8^ ZZ^ =>"8=>"8^ :.=:0:.=:0 ZZ =(X2=(X xxjj >. 1 4 2>. 1 4 2^ == 22 ..:: :: >> ..>> 88 0 0 == ..44 88 2 2 >. 2 4 5>. 2 4 5^ >> ..>> 88 99 0 0 == 99 ..99 0 0 =. 2 = 2=. 2 = 2^ ZZ^ = > ~ 9= > ~ 9^ =.8>5 Z =>~8=.8>5 Z =>~ 22 MM >. 5 2 >>. 5 2 >^ = 0. > 2= 0. > 2^ >> ..>> 88 0 0 == ..44 88 2 2 >> ..11 22 4^4 >> ..>> 22 88 9^9 == 11 ..22 1^1 4. 9 = 04. 9 = 0^ ZZ^ = > "9= > "9^ 4.=28 Z =>~84.=28 Z =>~ 99 //8 8 >> ..:: 55 2 2 4 4. 4 94 4. 4 9 >. > 1 2>. > 1 2 ==..11 22== >> ..55 88 2 2 >. > 1 4 =>. > 1 4 = = :. 0 4= :. 0 4 9. > 4 59. > 4 5 ZZ = > ~9= > ~9 (^) 4.:=44.:=4 ZZ =>-8=>- == =. = 4 2=. = 4 2^ 4 :. 2 :4 :. 2 : >. > 1 2>. > 1 2^ =.12==.12= >. 0 0 2>. 0 0 2^ >. > : 4 0>. > : 4 0 4 2. 4 54 2. 4 5 2. 8 > >2. 8 > >^ ZZ^ = > ~9= > ~9^ 2. > = 52. > = 5 ZZ =>~8=>~ QQMM =. 9 5 2=. 9 5 2 9 8. 0 99 8. 0 9 >> ..>> 11 2 2 ==..1 12 2== == ..44 88 2 2 >> ..== >> 99 5 5 9 9 == ..11 4 4 :. 8 2 8:. 8 2 8 ZZ = > "9= > "9 (^) 5.:285.:28 ZZ =>-8=>-

Q/4Q/4 =. 1 4 2=. 1 4 2 8 =. 4 :8 =. 4 : >. > 5 4>. > 5 4 =. : 4 0=. : 4 0 =.8:==.8:= >. = 4 9 8>. = 4 9 8 9 5. 1 49 5. 1 4 =. = 0 1=. = 0 1 ZZ = > "4= > "4 kk uu ìì xx ff rr9 9

44 4. = 4 24. = 4 2^2 2 99 ..00 :: >> ..>> :: 9 9 4 4 ..== >> :: == ..00 22 0 0 >. = 1 9 4>. = 1 9 4^8 8 00 ..55 1 1 4 4 ..>> 00 9 9 ZZ == >> "" 4 4 =.082=.082 ZZ =>~9=>~ 4 4 ZZMM 4. 1 4 24. 1 4 2 1 1. 1 :1 1. 1 : >. > 0 2>. > 0 2 4. 8 = 94. 8 = 9 4. 8 9 24. 8 9 2 >. 4 > 4 0>. 4 > 4 0 1 1 == ..:: 2 2 9 9 ..44 99 8 8 ZZ == >> --4 4 9 9 ..>> >> 88 ZZ ==>>‛‛9 9 99 9. = 4 29. = 4 2^5 5 00 ..99 :: >> ..== >> 0 0 4 4 ..55 11 0 0 4 4 ..00 >> 5 5 >> ..44 88 44 9 9 5 9. : 85 9. : 8 8. 1 > 08. 1 > 0^ ZZ^ = > "4= > "4^ 8.4:48.4:4 ZZ =>~9=>~ 99 kkMM 9. 1 4 29. 1 4 2^ 0 4. > :0 4. > : >. = 4 >>. = 4 >^9 9 ..>> 88 :: 9 9 ..99 :: 2 2 >> ..44 :: 44 == : 2. 0 :: 2. 0 : 1. 4 8 01. 4 8 0 ZZ == >> ~~ 4 4 2 2 ..:: >> 1 1 ZZ ==>>--9 9 88 8. = 4 28. = 4 2 == >> 88 ..:: >> ..== 99 8 8 9 9 ..88 >> 8 8 9 9 ..:: 22 5 5 >> ..99 44 == 8 (^8) 0 5. 0 50 5. 0 5 :. = = 8:. = = 8 ZZ = > ~ 4= > ~ 4 5. 2 9 :5. 2 9 : ZZ =>‛9=>‛ 22 2 2 ..== 44 2 2 == 99 >> ..4 4 >> ..== 11 >> (^8) 8 ..>> 11 8 8 8 8 ..:: >> 2 2 >. 8 > > 8>. 8 > > 8 == 44 44 ..>> == ..44 22 0 0 ZZ =>W==>W= =.=5>=.=5> ZZ =>‛4=>‛

11 1. = 4 21. = 4 2 == 22 22 ..1 1 >> ..== 00 4 4 8 8 ..:: 55 5 5 2 2 ..55 88 == >> ..88 55 :: 8 8 = 8 2. := 8 2. : =. 5 0 :=. 5 0 : ZZ =>W==>W= =.15> Z =>-4=.15> Z =>-

:: :. = 4 2:. = 4 2 4 4 >> 11 ..8 8 >> ..44 55 == (^1) 1 ..:: :: 9 9 5 5 ..22 :: 9 9 >. 1 9 = 0>. 1 9 = 0 == 00 44 ..1 1 9 9 ..== 99 1 1 ZZ == >> WW== 4.0=8 Z =>-44.0=8 Z =>- ==>> == >> ..== 44 2 (^2) 4 2 5. 44 2 5. 4 >> ..99 99 :: :: ..22 :: 2 2 0. 8 8 00. 8 8 0 >> ..55 :: 55 8 8 4 4 88 >> ..>> 8 8 ..:: 55 >> ZZ = > " == > " = 8.248 Z =>-48.248 Z =>- ==4 4 == 44 ..== 44 2 2 9 9 >> :: ..>> >> ..88 >> 2 (^2) == >> ..44 :: 5 5 == == ..99 == 2 2 >> ..00 88 44 0 0 4 4 :: 55 ..8 8 1. 0 : 91. 0 : 9 ZZ = > ' == > ' = 1.8:5 Z =>-41.8:5 Z =>-

@ Hlbfsgfbs hb tudbrìms@ Hlbfsgfbs hb tudbrìms

hb jbrrg hÿitkhb jbrrg hÿitk

XMDKXMDKMM =.=.== IkmsIkmsb krb kr6>6> pmrm prbsùf hbpmrm prbsùf hb sbrvsbrviig hbg hb =2=2>> psps (=.>9 L^m).(=.>9 L^m).

Xml.Xml. fglfmkfglfmk HílbtrgHílbtrg

hb tudbrìmshb tudbrìms bxtbrgrbxtbrgr

puke)puke)

99 88

:: =>=> =4= ==8 8 ==1 1 ==:: 4>4> 4848

(puke)(puke) (ll)(ll)

==.=>==.=> =9.4>=9.4> =2.12=2. =5.:>=5.:> =0.04=0. 44.>144.> 41.9441.

BspbsgrBspbsgr

hb pmrbhhb pmrbh

(puke)(puke)

.94>>.94> .92>>.92> .9:>>.9:> . 8 = >>. 8 = > .88>>.88> .8:>>.8:> .2=>>.2=> .28>>.28> .2:>>.2:> .14>>.14> .59>>.59>

(ll)(ll)

HílbtrgftbrgrHílbtrg ftbrgr

(puke)(puke)

9.949. 8.=>8.=> 1.=81.= :.49:. =>.44=>. =4.48=4. =8.19=8. =1.54=1. =:.51=:. 4>.:44>.: 48.:148.:

(pbs)(pbs)

=.>4>=.>4> =.4=0=.4= =.909=. =.219=. =.592=. 4.>544.>

(ll)(ll)

:8.9:8. =>8.==>8.= =21.>=21.> 4>0.>4>0.> 420.1420. 9=>.09=>. 95=.195=. 848.5848. 851.2851. 24:.:24:.: 19=.819=.

Írbm hb akuogÍrbm hb akuog

(pbs4)(pbs4)

  1. 2 : 22. 2 : 2 ZZ = > ~ 9= > ~ 9 :. 2 = ::. 2 = : ZZ = > " 9= > " 9 =. 0 = >=. 0 = > ZZ = > ~ 4= > ~ 4
  2. 8 9 49. 8 9 4 ZZ = > ~ 4= > ~ 4
  3. 4 0 42. 4 0 4 ZZ = > ~ 4= > ~ 4
  4. 2 0 =5. 2 0 = ZZ = > ~ 4= > ~ 4

. = > : 2>. = > : 2 . = 8 = 5>. = 8 = 5 . = 5 : 9>. = 5 : 9 . 4 = 0 1>. 4 = 0 1 . 9 = 9 4>. 9 = 9 4

MpbfhibMpbfhib OO^ Mrbm hMrbm hbb iiìriukgsìriukgs

XX 88 DKDKMM OO .4.4 RRfhmhbsfhmhbs Y@.Y@. VV

HílbtrgHílbtrg Írt.mÍrt.m

82>82> >.82>>.82>^ =.20> Z =>2=.20> Z =>2^ =.20> Z =>W==.20> Z =>W=
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  • QQ1 1 8 5 18 5 1 > > 9 4> > 9 4 > : = 9> : = 9 > = 4 8> = - > > 9 2> > 9 2 > : : 0> : : 0 > = = 5> = = - > > 8 0> > 8 0 =.48=.48 > = 2 4> = '/8'/8 1 1 ..99 2^2 >> ..>> 99 2^2 > : : 0> : : 0 > = : >> = : >
  • 2/k12/k1 5 0 85 0 8 > > 9 2> > 9 2 > : : 0> : : 0 > 4 8 9> - >> ..>> 88 0 0 == ..44 8 8 > 4 = 2> 4 =
    • %% 0 2 90 2 9 > > 9 2> > 9 2 >> ..:: :: 0^0 >> ..99 >> - > > 8 0> > 8 0 =.48=.48 > 4 5 5>
      • xxjj = 4 5 >= 4 5 > > > 8 0> > 8 0 =.48=.48 > 8 > 4> 8 >
    • 22 /s/s = 2 : := 2 : : > > 8 0> > 8 0 =.48=.48 > 2 4 5> > > 1 2> > 1 2 =.12=.12 > 9 5 >> 9 5 > - > > 1 2> > 1 2 =.12=.12 > 8 0 2>
      • 99 /8/8 = 0 > 2= 0 > 2 > > 8 0> > 8 0 =.48=.48 > 1 2 4>
        • 55 /&/& 4 4 4 94 4 4 9 > > 8 0> > 8 0 =.48=.48 > 5 5 5> > > 1 2> > 1 2 =.12=.12 > 1 4 >> 1 4 > - > > 1 2> > 1 2 =.12=.12 > 5 8 2> - > > : 9> > : 9 4 = =4 = = > : 9 8> : == 4 2 8 >4 2 8 > > > 1 2> > 1 2 =.12=.12 > : 5 >> : 5 >
      • k ' / 8k ' / 8 9 = 5 29 = 5 2 > > 1 2> > - > > : 9> > : - =.12=. - =.>:8=.>: = = 4 >= = 4 >
        • k ' / 4k ' / 4 9 : = >9 : = > > > 1 2> > - > > : 9> > : - =.12=. - =.998=. = 9 5 >= 9 5 >
        • ^/^/ 8 8 8 8 8 28 8 8 2 > > 1 2> > - > > : 9> > : - =.12=. - =.2:8=.2: =.14>=.14>
        • 44 2 > : >2 > : > > > 1 2> > - > > : 9> > : - =.12=. - =.:98=.: =.:5>=.:5> - >>..>>>>22>>:: ==..2 28800 4.>40 Z =>4.>40 Z =>~~ 2 2 =.::2 Z =>=.::2 Z =>-- - >.>>82:>.>>82: =.905=.905 =.12> Z =>=.12> Z =>~~ 2 2 =.299 Z =>=.299 Z =>-- - >.>=>40>.>=>40 9.=959.=95 :.9=0 Z =>:.9=0 Z =>~~ 2 2 5.54: Z =>5.54: Z =>-- - >>..>>>>0 05500 4 4..00::2 2 5.29> Z =>5.29> Z =>~2~2 1.001 Z =>1.001 Z =>-- - >.>=2>>>.>=2>> 8.2548.254 =.515 Z =>=.515 Z =>~~ 8 8 =.184 Z =>=.184 Z =>~~ - >>..>>==4 41155 9 9..::11== =.41> Z =>=.41> Z =>~8~8 =.=5= Z =>=.=5= Z =>"" - > > 4 > 4 => > 4 > 4 = 1.=1>1.=1> 9.4>5 Z =>9.4>5 Z =>-- 8 8 4.0:> Z =>4.0:> Z =>~2~ - >.>=5::>.>=5:: 2.88:2.88: 4.2>0 Z =>4.2>0 Z =>-- 8^8 4.99= Z =>4.99= Z =>-- - >.>4284>.>4284 5.5855.585 2.>58 Z =>2.>58 Z =>~~ 8 8 8.5=8 Z =>8.5=8 Z =>~~ - >.>49>:>.>49>: 5.>915.>91 8.=:2 Z =>8.=:2 Z =>~~ 8^8 9.::: Z =>9.::: Z =>"" - >.>992>>.>992> =>. 4==>. 4= :.:=8 Z ÌG:.:=8 Z ÌGVV 8^8 :.=:0 Z =>:.=:0 Z =>~~ - >.>9>:9>.>9>:9 0.8>0.8> 5.815 Z =>5.815 Z =>~~ 8^8 1.095 Z =>1.095 Z =>~~ - >.>8904>.>8904 =9.90=9.90 =.2=2 Z =>=.2=2 Z =>~~ 9^9 =.8>5 Z =>=.8>5 Z =>‛‛ - >.>8=42>.>8=42 =4.25=4.25 =.991 Z =>=.991 Z =>-- 9^9 =.484 Z =>=.484 Z =>-- - >.>2899>.>2899 =1.21=1.21 4.9=0 Z =>4.9=0 Z =>~~ 9^9 4.=28 Z =>4.=28 Z =>-- - >.>2=15>.>2=15 =2.52=2.52 4.>05 Z =>4.>05 Z =>"" 9^9 =.08: Z =>=.08: Z =>-- - >.>1852>.>1852 =0.58=0.58 9.409 Z =>9.409 Z =>~9~9 9.>20 Z =>9.>20 Z =>-- - >.>14>:>.>14>: =:.04=:.04 9.>45 Z =>9.>45 Z =>"" 9^9 4.:=4 Z =>4.:=4 Z =>-- - >.>542>>.>542> 4 4 = >4 4 = > 8.=4: Z =>8.=4: Z =>"" 9^9 9.:92 Z =>9.:92 Z =>"" - >.>102>>.>102> 4=.=:4=.=: 9.508 Z =>9.508 Z =>--9^9 9.248 Z =>9.248 Z =>-- - >.>0999>.>0999 4:.824:.82 1.:84 Z =>1.:84 Z =>~~ 9^9 1.921 Z =>1.921 Z =>~8~ - >.>0>99>.>0>99 45.2945.29 1.8>0 Z =>1.8>0 Z =>~~ 9^9 2.028 Z =>2.028 Z =>"" - >.==84>.==84 98.:>98.:> =.>48 Z =>=.>48 Z =>~~ 4^4 0.2=> Z =>0.2=> Z =>-- - > = = = 4> = = = 4 99.::99.:: 0.5>1 Z =>0.5>1 Z =>"" 9^9 0.>=5 Z =>0.>=5 Z =>-- - >.=92>>.=92> 8=.=28=.=2 =.89= Z =>=.89= Z =>-- 4^4 =.99> Z =>=.99> Z =>--9 - >.=94>>.=94> 8>.498>.49 =.91: Z =>=.91: Z =>-- 4^4 =.45= Z =>=.45= Z =>~9~ - >.=22:>.=22: 85.2>85.2> =.0>5 Z =>=.0>5 Z =>"" 4^4 =.554 Z =>=.554 Z =>--9 - >.=24:>.=24: 81.2:81.2: =.:92 Z =>=.:92 Z =>"" 4^4 =.5>8 Z =>=.5>8 Z =>--
  • 1>11> - 11 >.>>1>.>>1 4:.454:.45 4.:45 Z =>"24.:45 Z =>" (ll)(ll) (l(l )) (ll4)(ll4) ( f r )( f r ) - =4=4 >.>=4>.>=4 ==9.===9.= =.=9= Z =>~8=.=9= Z =>~ - ==:: >.>=:>.>=: 428.2428.2 4.282 Z =>~84.282 Z =>~ - 4242 >.>42>.>42 80>.080>.0 8.0>0 Z =>"88.0>0 Z =>" - 9494 >.>94>.> - 8>8> >.>8>>.>8> =425=425::>>88..4 4 ::.=.425 Z =>"9=.425 Z =>"9.>>8^84 4 ZZ ==>>~~8 - 8282 >.>82>.>82 =20>=20> =.20> Z =>-9=.20> Z =>- - 2>2> >.>2>>.>2> =019=019 =.019 Z =>~9=.019 Z =>~ - 1>1> >.>1>>.>1> 4:454:45 4.:45 Z =>-94.:45 Z =>- - 5252 >.>52>.>52 88=:88=: 8.8=: Z =>-98.8=: Z =>- - 0>0> >>..>>00>> 11991144 1.91.914 Z =>-914 Z =>-
    • =>>=>> >.=>>>.=>> 5:285:28 5.:28 Z =>~95.:28 Z =>~
    • ====2 2 >.==2>.==2 =.>90 Z =>8=.>90 Z =>8 =.>90 Z =>~4=.>90 Z =>~
    • ==4 422 >>..==4 422 =.445 Z =>8=.445 Z =>8 =.445 Z =>~4=.445 Z =>~
      • ==22>> >>..==22>> =.515 Z =>8=.515 Z =>8 =.515 Z =>~4=.515 Z =>~
      • ==5 522 >>..==5 522 4.8>2 Z =>84.8>2 Z =>8 4.8>2 Z =>-44.8>2 Z =>-
    • 4>>4>> >.4>>>.4>>^99 .=84.=84 ZZ =>8=>8 9.=84 Z =>-49.=84 Z =>-
    • 442442 >.442>.442 9.051 Z =>89.051 Z =>8 9.051 Z =>"49.051 Z =>"
      • 42>42> >.42>>.42>^8 8 0>0 Z0>0 Z =>=>8^8 8.0>0 Z =>“48.0>0 Z =>“
      • 9>>9>> >.9>>>.9>> 5.>10 Z =>85.>10 Z =>8 5.>10 Z =>-45.>10 Z =>-

XXMM DKMDKM CC.=.=

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CC AmitgrbsAmitgrbs hbhb igfigfvbrvbrsùfsùf

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= 8. 2 0= 8. 2 0 c ec e 9 49 4. = 5 8. = 5 8 kd lkd l 4. 4 >4. 4 > 22 kd lkd l 8 28 2 9. 19. 1 e rm le rm l g sg s 4 > >4 > > >> kd lkd l = >= >> > c> > cpp s ku es ku e s ku es ku e^ c ec e^ kkd ld l^ tgtg ff ll tgfbkmhtgfbkmh mm làtrlàtrimliml

AAuubrbrzmzm

  1. 8 8 : F8. 8 8 : F

R f h m h bs t í f h m r h bk Y @? f bw t g f ( F ). R fh m h bq u v m kbf t b? c e - l/s 4 .R fh m h bs t í f h m r h bk Y @? f bw t g f ( F ). R f h m h bq uv m kbf t b? c e - l/s 4. ==> 2> 2 h f m shf m s 8. 88. 8 8 :8 : ZZ = > 2= > 2 h f m shf m s 4 4 84 4 8. :. : kd akd a kdkd aa FF^ k d ak d a^ cc FF

KgKgfefettuhuh 9 9 ..44 :: == p pbb ss 9 09 0..9 59 5 p up ukkee ==44 p up ukkee == ..11 >> 00 cc ll 24 24 :>:> pbspbs 1>511>51 ppbsbs ll (^) ll p b sp b s l l (^) ll `` lkkmlkkm fíutfíutimim

ÍÍrbrbmm = 8 8 p u k e 4= 8 8 p u k e 4 (^) = >. 5 1= >. 5 1 p b s 4p b s 4 1 81 8 2. 42. 4 ll ll 4 4 = > 1= > 1 ll ll 4 4 8 9 , 2 18 9 , 2 1 > p> p b s 4 b s 4 ==>>8 l 48 l 4 p b s 4p b s 4 (^) ll 4 4 p up u k e 4k e 4 ff rr mirbmirb^ jbitírbmjbitírbm

QgkulbfQgkulbf = 5 4 : p u k e 9= 5 4 : p u k e 9 4 9 =4 9 = p up u ke 9ke 9 5. 8 :5. 8 : e m ke m k 4 14 1 8. 48. 4 e m ke m k 9.5:9.5: 22 KK 92.92.9=9= pbs9pbs p b s 9p b s 9 e m ke m k p bs 9pbs 9 l9l9 emkemk^ l9l 4 :. 9 4 K4 :. 9 4 K (^) = > > >= > > > KK 1 =1 =. > 4. > 4 p up u ke 9ke 9 kG G G il9kG G G il9 (^) =.4>= R.Y. emk=.4>= R.Y. emk p b s 9p b s 9 ll 9 9 KK KK emkùf lpbrmkemkùf lpbrmk

AAkukuog vgog vgkukullàtàtrrigig 8 8 08 8 0 e m k / l fe m k / l f 9 2. 9 =9 2. 9 = p b s 9p b s 9/ s/ s = 2= 2 : 2 >: 2 > e m k /e m k /ll f f p bpb s 9s 9/s/s ll 99/s/s l9 /sl9 /s 1 >1 > > >> > >> K / l fK / l f 4 = = 04 = = 0 p b s 9p b s 9/ l f/ l f = 1. 1 5= 1. 1 5 K / l fK / l f

  1. 5 : 2 K /lf9. 5 : 2 K /lf emk/lfemk/lf =>=.0 l9/j=>=.0 l9/j l9/sl9/s (^) l9/sl9/s l9/jl9/j pbs9/spbs9/s