Fluid Mechanics Ideas For School

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    QUESTION BANK 

    Fluid Mechanics (ECE-301)

    III d Se!" Mechanical En#ineein#

    UNIT-1 (In$%duc$i%n)

    1 &e'ine $he '%ll%in# 'luid %e$ies*

      &ensi$+, ei#h$ densi$+, seci'ic %lu!e and seci'ic #ai$+ %' 'luid"

    1" &i''een$ia$e .e$een * (I) /iuids and #ases (ii) eal 'luids and Ideal 'luids (iii) Seci'icei#h$ and Seci'ic %lu!e %' a 'luid

    2" ha$ is $he di''eence .e$een d+na!ic isc%si$+ and 4ine!a$ic isc%si$+5 S$a$e $hei uni$s

    %' !easue!en$s"

    3" &e'ine Ne$%nian and N%n-Ne$%nian 'luids"

    6" ha$ d% +%u undes$and .+ Is%$he!al %cess, adia.a$ic %cess and Uniesal #as

    c%ns$an$57" &e'ine c%!essi.ili$+" 8%e $ha$ c%!essi.ili$+ '% a e'ec$ #as unde#%in# Is%$he!al

    c%!essi%n is 19 hile '% a e'ec$ #as unde#%in# isen$%ic c%!essi%n is 19"

    :" E;lain $he hen%!en%n %' caillai$+" O.$ain an e;essi%n '% cailla+ ise %' a liuid"" h+ d%es $he isc%si$+ %' a #as incease i$h $he incease in $e!ea$ue hile $ha$ %' aliuid deceases i$h incease in $e!ea$ue5

    ?" &eel% $he e;essi%n '% $he ela$i%n .e$een #au#e essue inside a d%le$ %' liuid

    and $he su'ace $ensi%n"

    10" Calcula$e $he s"ei#h$, densi$+ and s"#ai$+ %' %ne li$e %' a liuid hich ei#hs "1 N $% !ain$ain $he seed" &e$e!ine *

    (i) The d+na!ic isc%si$+ %' $he %il in %ise, and

    (ii) The 4ine!a$ic isc%si$+ %' $he %il in s$%4es i' $he s" @ai$+ %' $he %il is 0"?7"

    12" I' $he el%ci$+ %'ile %' a 'luid %e a la$e is aa.%lic i$h $he e$e; 20 c! '%! $he la$e,hee $he el%ci$+ is 120 c!9sec" calcula$e $he el%ci$+ #adien$s and shea s$esses a$ a

    dis$ance %' 0"10 and 20 c! '%! $he la$e" I' $he isc%si$+ %' $he 'luid is >"7 %ise"

    13" A 17 c! dia!e$e e$ical c+linde %$a$es c%ncen$icall+ inside an%$he c+linde %' dia!e$e 

    17"10 c!" B%$h c+lindes ae 27 c! hi#h" The sace .e$een $he c+lindes is 'illed i$h a

    liuid h%se isc%si$+ is un4n%n" I' a $%ue %' 12"0 N! is euied $% %$a$e $he inne 

    c+linde a$ 100 ""!" de$e!ine $he isc%si$+ %' $he 'luid"

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    16" A c+linde %' 0": !3 in %lu!e c%n$ains ai a$ 70°C and 0"3 N9!!2 a.s%lu$e essue" The ai is c%!essed $% 0"3 !3" Find (i) essue inside $he c+linde assu!in# is%$he!al %cess

    and (ii) essue and $e!ea$ue assu!in# adia.a$ic %cess" Ta4e 41"6

    17" Calcula$e $he essue e;e$ed .+ 7 4# %' ni$%#en #as a$ a $e!ea$ue %' 10°C i' $he %lu!eis 0"6 !3"M%lecula ei#h$ %' ni$%#en is 2>"Assu!e ideal #as las ae alica.le"

    1:" A isc%si$+ %' %il is 7 %ise is used '% lu.ica$i%n .e$een a sha'$ and sleee" The dia!e$e 

    %' a sha'$ is 0"7 ! and i$ %$a$es a$ 200 !" Calcula$e $he %e l%s$ in %il '% a sleee len#$h

    %' 100 !! "The $hic4ness %' $he %il 'il! is 1"0 !!"

    1

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    30" E;lain $he '%ll%in# $e!s (I) T%$al accelea$i%n (ii) C%nec$ie accelea$i%n and (iii) /%cal

    accelea$i%n"

    31" &e'ine $he $e!s (i) el%ci$+ %$en$ial 'unc$i%n (ii) S$ea! 'unc$i%n

    32" ha$ d% +%u !ean .+ eui-%$en$ial line and a line %' c%ns$an$ s$ea! 'unc$i%n5 E;lain"

    33 &esci.e $he use and li!i$a$i%ns %' 'l% ne$ and unde ha$ c%ndi$i%ns da 'l% ne$5

    36" &i''een$ia$e .e$een '%ced %$e; and 'ee %$e; 'l%"

    37 Sh% $ha$ incase %' '%ced %$e; 'l%, $he ise %' liuid leel a$ $he ends is eual $% $he 'all

    %' liuid leel a$ $he a;is %' %$a$i%n"

    3:" S4e$ch $he 'l% a$$en %' an ideal 'luid 'l% as$ a c+linde i$h cicula$i%n"

    3" &is$in#uish .e$een a s%uce and a sin4 i$h e;a!le"

    3?" A %in$ s%uce is a %in$ hee an inc%!essi.le 'luid is i!a#ined $% .e cea$ed and sen$ %u$

    eenl+ in all diec$i%ns" &e$e!ine i$s el%ci$+ %$en$ial and s$ea! 'unc$i%n"

    60" E;lain uni'%! 'l% i$h s%uce and sin4" O.$ain e;essi%ns '% s$ea! and el%ci$+

     %$en$ial 'unc$i%ns"

    61" Unde ha$ c%ndi$i%ns can %ne $ea$ eal 'luid 'l% as i%$a$i%nal (as and a%;i!a$i%n)"

    62" A 30 c! dia!e$e ie, c%ne+in# a$e .anches in$% $% ies %' dia!e$es 20 c! and 17c! esec$iel+" I' $he aea#e el%ci$+ in $he 30 c! dia!e$e ie is 2"7 !9s" 'ind $he discha#e

    in $his ie, als% de$e!ine $he el%ci$+ in 17 c! ie i' $he aea#e el%ci$+ in 20 c! dia!e$e 

     ie is 2 !9s"

    63" A e$ %' a$e '%! a 27 !! dia!e$e n%DDle is diec$ed e$icall+ uads, assu!in# $ha$

    $he e$ e!ains cicula and ne#lec$in# an+ l%ss %' ene#+ $ha$ ill .e $he dia!e$e a$ a %in$ 6"7

    ! a.%e $he n%DDle, i' $he el%ci$+ i$h hich $he e$ leaes $he n%DDle is 12 !9s"

    66" The el%ci$+ ec$% in a 'luid 'l% is #ien 6;3i-10;2+2$4 'ind $he el%ci$+ and

    accelea$i%n %' 'luid a$icle a$ (2, 1, 3) a$ $i!e $1"

    67" The el%ci$+ %$en$ial 'unc$i%n is #ien .+ φ7(;2-+2)" Calcula$e $he el%ci$+ c%!%nen$s a$$he %in$ (6, 7)"

    6:" The s$ea! 'unc$i%n '% a $%-di!ensi%nal 'l% is #ien .+ Ψ2;+, calcula$e $he el%ci$+ a$

    $he %in$ (2, 3)" Find $he el%ci$+ %$en$ial 'unc$i%nφ"

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    6" The el%ci$+ c%!%nen$s '% 3-& 'l% ae #ien as-

      U ;2D27

      +2D2

      6;+D

    Sh% he$he $he 'l% is %ssi.le % n%$"

    6?" F% $he s$ead+ inc%!essi.le 'l%, ae $he '%ll%in# alues %' u and %ssi.le5

    (i) U 6;++2, :;+3; and

    (ii) U2;2+2, -6;+

      UNIT-III (Fluid S$a$ics)

    70" The dia!e$e %' $he lun#e and a! %' a h+daulic ess ae esec$iel+ :0 !! and 160

    !!" I' a l%ad %' : KN is alied %n $he lun#e $% li'$ a l%ad %n $he a!, de$e!ine $he alue

    %' hen-

    (i) The lun#e and $he a! ae a$ sa!e leel

    (ii) The lun#e is a$ 600 !! a.%e $he a! assu!in# $ha$ a$e is used in $he h+daulic ess"

    71" &e$e!ine $he acuu! essue in !e$e %' a$e hen $he a.s%lu$e essue is 0"7636 .as,

    Assu!e a$!%sheic essue as 10"30 !e$e %' a$e"

    72" &e'ine essue" O.$ain an e;essi%n '% $he essue in$ensi$+ a$ a %in$ in a 'luid"

    73" ha$ is $he di''eence .e$een U-$u.e di''een$ial !an%!e$es and Ine$ed U-$u.e

    di''een$ial !an%!e$e5 hee ae $he+ used5

    76" &is$in#uish .e$een !an%!e$es and !echanical #au#es" E;lain ai%us !echanical

     essue #au#es"

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    77" &eie an e;essi%n '% $he essue a$ a hei#h$ D '%! sea leel a$ a s$a$ic ai hen $he

    c%!essi%n %' $he ai is assu!ed is%$he!al" The essue and $e!ea$ue a$ sea leel ae 0

    and T0 esec$iel+"

    7:" E;lain .ie'l+ $he %4in# incile %' B%ud%n essue #au#e i$h a nea$ s4e$ch"

    7" &eie an e;essi%n %' '%ce e;e$ed %n a su.-!e#ed e$ical lane su'ace .+ $he s$a$ic

    liuid and l%ca$e $he %si$i%n %' cen$e %' essue"

    7?" &eie an e;essi%n '% $he de$h %' cen$e %' essue '%! 'ee su'ace %' liuid %' an

    inclined lane su'ace su.-!e#ed in $he liuid"

    :0" h+ $he esul$an$ essue %n a cued su.-!e#ed su'ace is de$e!ined .+ 'is$ 'indin#

    h%iD%n$al and e$ical '%ces %n $he cued su'ace5 h+ $he sa!e is n%$ ad%$ed '% a lane

    inclined su'ace su.-!e#ed in a liuid5

    :1" ha$ is $he di''eence .e$een sluice #a$e and l%c4 #a$e5 Als% %e $ha$ $he eac$i%n

     .e$een $he #a$es %' a l%c4 is eual $% $he eac$i%n a$ $he hin#e"

    :2" &e$e!ine $he $%$al essue %n a cicula la$e %' dia!e$e 1"7 ! hich is laced e$icall+

    in a$e in such a a+ $ha$ $he cen$e %' $he la$e is 3 ! .el% $he 'ee su'ace %' a$e, Find $he

     %si$i%n %' cen$e %' essue als%"

    :3" An inclined ec$an#ula sluice #a$e AB 1"2 ! .+ 7 ! siDe is ins$alled $% c%n$%l $he discha#e

    %' a$e" The end A is hin#ed" &e$e!ine $he '%ce n%!al $% $he #a$e alied a$ B $% %en i$"

    :6" The end #a$es ABC %' a l%c4 ae ? ! hi#h and hen cl%sed include an an#le %' 120 °" Theid$h %' $he l%c4 is 10 !" each #a$e is su%$ed .+ $% hin#es l%ca$ed a$ 1 ! and : ! a.%e $he

     .%$$%! %' $he l%c4" The de$h %' a$e %n $he $% sides is > ! and 6 ! esec$iel+" Find (i)

    esul$an$ a$e '%ce %n each #a$e"

    (ii) eac$i%n .e$een $he #a$es AB and BC, and

    (iii) F%ce %n $he each hin#e, c%nsidein# $he eac$i%n %' $he #a$e ac$in# in $he sa!e h%iD%n$al

     lane as esul$an$ a$e essue"

    :7" A %%den l%# %' 0": ! dia!e$e and 7 ! len#$h is 'l%a$in# in ie a$e" Find $he de$h %' 

    %%den l%# in a$e hen $he seci'ic #ai$+ %' $he l%# is 0"

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    ::" &eie an e;essi%n '% $he $i!e ei%d %' $he %scilla$i%n %' a 'l%a$in# .%d+ in $e!s %' 

    adia$i%n %' #+a$i%n and !e$a-cen$ic hei#h$ %' $he 'l%a$in# .%d+"

    :" The leas$ adius %' #+a$i%n %' a shi is > ! and !e$a-cen$ic hei#h$ is "

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      UNIT-I (&+na!ics %' 'luid 'l%)

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    >>" An %i'ice !e$e c%nsis$in# %' 100!! dia!e$e %i'ice in a 270!! dia!e$e ie has

    Cd0":7" The ie delies %il %' s" @ai$+ %' 0">" The essue di''eence %n $he $% sides %' 

    $he %i'ice la$e is !easued .+ a # %il di''een$ial !an%!e$e" I' $he di''een$ial #au#e eadin#

    is >00!! %' #, 'ind $he a$e %' 'l% in li$e9s"

    >?" A i$%$ s$a$ic $u.e laced in $he cen$e %' a 270!! ie line has %ne %i'ice %in$in#us$ea! and %$he eendicula $% i$" The !ean el%ci$+ in $he ie " Find $he discha#e %e a s$eed n%$ch %' $he '%ll%in# di!ensi%ns*-

    T% sec$i%n* 1000!!G170!!

    Middle sec$i%n* >00!!G100!!

    B%$$%! sec$i%nH :00!!G>00!!

    Ta4e Cd '% $hee sec$i%ns as 0":2

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    ??" A i$%$ $u.e as inse$ed in a ie $% !easue $he el%ci$+ %' a$e in i$" I' $he a$e ises in

    $he $u.e is 600!!, 'ind $he el%ci$+ %' a$e" Ta4e C0"?>

    100" E;lain $he classi'ica$i%n %' %i'ices and !%u$hieces .ased %n $hei shae, siDe and

    shaness"

      UNIT- (&i!ensi%nal Anal+sis and +daulic Si!ili$ude)

    101" Find an e;essi%n '% da# '%ce %n s!%%$h shee %' dia!e$e d, !%in# i$h a uni'%!

    el%ci$+ , in a 'luid %' densi$+ ρ and d+na!ic isc%si$+µ""

    102" Assu!in# $ha$ $he esis$ance '%ce F e;e$ed .+ a 'luid %n a shee %' dia!e$e & deends

    %n $he isc%si$+µ, !ass densi$+ %' $he 'luid ρ  and $he el%ci$+ %' $he shee , %.$ain ane;essi%n '% esis$ance '%ce"

    103" S$a$e Buc4in#ha!=s π-$he%e!" h+ $his $he%e! is c%nsideed suei% %e $hea+lei#h=s !e$h%d '% di!ensi%nal anal+sis5

    106" ha$ d% +%u !ean .+ eea$in# aia.les5 % $he eea$in# aia.les ae ae selec$ed '% 

    di!ensi%nal anal+sis5

    107" &e'ine $he $e!* - M%del, %$%$+e, !%del anal+sis, h+daulic si!ili$ude"

    10:" E;lain di''een$ $+es %' h+daulic si!ilai$ies $ha$ !us$ e;is$ .e$een a %$%$+e and i$s!%dels"

    10

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    113" 8%e $ha$ $he scale a$i% '% discha#e '% a dis$%$ed !%del is #ien as-

      Q9Q! (/) G (/) 392

    116" The '%ce e;e$ed .+ a 'l%in# 'luid %n a s$a$i%na+ .%d+ deends u%n $he len#$h / %' $he

     .%d+, el%ci$+ %' $he 'luid, densi$+ ρ %' 'luid" isc%si$+ µ %' $he 'luid and accelea$i%n # due $%#ai$+, 'ind an e;essi%n '% $he '%ce usin# di!ensi%nal anal+sis"

    117" The essue di''eence ∆  in a ie %' dia!e$e & and len#$h / due $% $u.ulen$ 'l%

    deends u%n $he el%ci$+ , isc%si$+µ, densi$+ ρ  and %u#hness 4" Usin# Buc4in#ha!=s π-

    $he%e! % %$heise %.$ain an e;essi%n '% ∆ "

    11:" A 1* :6 !%del is c%ns$uc$ed %' an %en channel in c%nce$e hich has Mannin#=s N

    0"016" Find $he alue %' N '% !%del"

    11

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      UNIT-I (/a!ina and Tu.ulen$ Fl%)

    12: ha$ d% +%u !ean .+ isc%us 'l%5 E;lain"

    12" ha$ d% +%u !ean .+ ci$ical el%ci$+ %' a 'luid $h%u#h a cicula ie5

    12?" Sh% '% isc%us 'l% $h%u#h a cicula ie $he el%ci$+ dis$i.u$i%n ac%ss $he sec$i%n is

     aa.%lic" Sh% $ha$ $he !ean el%ci$+ is eual $% %ne hal' $he !a;i!u! el%ci$+"

    130" 8%e $ha$ $he l%ss %' essue head '% $he isc%us 'l% $h%u#h a cicula ie is #ien .+H-

      '   32µul9ρ#&

    131" ha$ d% +%u !ean .+ $u.ulen$ 'l%5 E;lain

    132" &e'ine $he '%ll%in# $e!s*-

      Ins$an$ane%us el%ci$+, Fluc$ua$i%n el%ci$+, Aea#e el%ci$+

    133" E;lain .ie'l+ h+d%- d+na!icall+ s!%%$h and %u#h .%undaies"

    136" &e'ine $he $e!s i$h e;a!les de#ee %' $u.ulence and in$ensi$+ %' $u.ulence"

    137" &is$in#uish .e$een all $u.ulence and 'ee $u.ulence"

    13: ha$ is !ean$ .+ $u.ulence5 % d%es i$ a''ec$ $he 'l% %e$ies5

    13" ha$ ae $he se!i-e!iical $he%ies %' $u.ulence5 E;lain $he c%nce$ %' !i;in# len#$h

    in$%duced .+ and$l and s$a$e $he ela$i%nshi $ha$ e;is$s .e$een $he $u.ulen$ sheain# s$ess

    and !i;in# len#$h"

    13?" E;lain $he and$l=s !i;in# len#$h $he%+ '% $u.ulen$ shea s$ess"

    160" a$e is 'l%in# $h%u#h a %u#h ie %' dia!e$e :00!! a$ $he a$e %' 700 li$e9s" $he all

    %u#hness is 3 !!" 'ind $he %e l%s$ '% 1000! len#$h %' ie"

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    161" F% $u.ulen$ 'l% in a ie %' dia!e$e 300!!, de$e!ine $he discha#e hen $he

    !a;i!u! el%ci$+ is 2 !9s and $he el%ci$+ a$ %in$ 100!! '%! $he cen$e is 1":!9s"

    162" An %il %' isc%si$+ 6"7 %ise 'l%s in a 60 !! dia!e$e ie, discha#e a$e .ein# 7 li$es9s"

    I' $he seci'ic #ai$+ %' %il is 0">7" S$a$e he$he $he 'l% is la!ina % $u.ulen$"

    163" A ie line ca+in# a$e has aea#e hei#h$ %' ie#ulai$ies %ec$in# '%! $he su'ace %' 

    $he .%unda+ %' $he ie as 0"17!!" ha$ $+e %' .%unda+ i$ is5 The shea s$ess deel%ed is

    6"? N9!2" The 4ine!a$ic isc%si$+ %' a$e is 0"02 s$%4es"

    166" A la!ina 'l% is $a4in# lace in a ie %' dia!e$e %' 200!!" $he !a;i!u! is 1"7 !9s"

    'ind $he !ean el%ci$+ and $he adius a$ hich $his %ccus" Find als% $he el%ci$+ a$ 60!! '%!

    $he all %' $he ie"

    167" A 'luid %' isc%si$+ < %ise and s" @ai$+ 1"3 is 'l%in# $h%u#h a cicula ie %' 

    dia!e$e 100!!" $he !a;i!u! shea s$ess a$ $he ie all is #ien as 1?:"2 N9! 2  'ind $he

     essue #adien$, aea#e el%ci$+ and e+n%lds nu!.e %' 'l%""

    16:" A s!%%$h ie line

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      UNIT-II (B%unda+ /a+e Anal+sis)

    171" E;lain .ie'l+ $he !a% and !in% l%sses in ie lines"

    172" &eie an e;essi%n '% $he l%ss %' head due $% sudden enla#e!en$ in ie dia!e$e"

    173" &eie an e;essi%n '% $he l%ss %' head due $% sudden c%n$ac$i%n %' a ie"

    176" &e'ine and e;lain $he $e!s* - ie in seies and ie in aallel, euialen$ ie,

    euialen$ siDe %' $he ie and !in% and !a% ene#+ l%sses

    177" ha$ is a sih%n5 On ha$ incile i$ %4s5

    17:" Sh% $ha$ '% !a;i!u! $ans!issi%n %' %e .+ !eans %' a$e unde essue, $he

    'ic$i%nal l%ss %' head in $he ie euals %ne-$hid %' $he $%$al head sulied"

    17" The a$e %' 'l% %' a$e $h%u#h a h%iD%n$al ie is 300 li$e9s" The ie %' dia!e$e 

    200!! is suddenl+ enla#ed $% 600!!" Find*-

      (i) /%ss %' head

      (ii) Chan#e in essue

      (iii) /%ss %' 'luid %e 

    17?" &e$e!ine $he head l%ss due $% 'ic$i%n in a ie %' dia!e$e 300!! and len#$h

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    1:3" Sh% $ha$ '% linea dis$i.u$i%n %' el%ci$+ in $he .%unda+ la+eH δ9θ:

    1:6" Sh% $ha$ '% $he el%ci$+ %'ileH

      u9U 2η-η2

    hee η+9δ" Tha$ a$i% δ9δG 3

    1:7" &e'ine $he '%ll%in# $e!s*-

      Ai'%il, leadin# and $ailin# ed#es, ch%d, an#le %' a$$ac4, asec$ a$i%, da# and li'$, all

    da#, '%! da# and $%$al da#"

    1::" ha$ is Ma#nus e''ec$5 h+ is i$ 4n%n as Ma#nus e''ec$5

    1:

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    1 G 0">! and ei#hin# 6 N assu!es an an#le %' 17° $% $he h%iD%n$al"

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