mekanika fluida - contoh soal motion of particles in fluid
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8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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Mekanika Fluida No. 10
dan No. 11 (Kelompok 5)Ahmad Tibrizi (14065
Elu!"a Ma!anari (14065#
$a%u!andi Mul%a &en"o!a (14065'14'0)
enno Arian!%ah (14065
Ta*i Aua (14065
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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SOAL 10
&ua"u !iklon diunakan un"uk mimi!ahkan bu"iran dari aliran udara pada
"empera"ure 150o+. $ika !iklon mempun%ai diame"er 0,5 m dan ke-epa"an
"anen!ial di dindin 16 mde"ik, berapa ke-epa"an "erminal par"ikel
berukuran /0 dan 40 m ma!inma!in2 3ada daerah mana di korela!i R
(ρu/) ! e pemi!ahan "er7adi2 8erapa kali be!arn%a ke-epa"an "erminal
ini dibandin denan ke-epa"an "erminal 7ika pemi!ahan dilakukan !e-ara
rai"a!i2 9en!i"% o rain! : /1;6 km#.
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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9ike"ahui
9! : 0,5 m
<" : 16 mde"ik
=! : /1;6 km#
3ada !aa" T : 150o+ (berda!arkan li"era"ur)
=udara : 0,>#45 km#
: />,' . 106 m
/!
: . =udara : />,' . 106 m
/! . 0,>#45 km#
: /#,;6 . 106 km!
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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9a"a <dara pada "ekanan a"moer
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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9i"an%akan
A. Ke-epa"an "erminal pada par"ikel berukuran /0m dan
40m
8. 9aerah korela!i R(ρu/) ! e dimana pemi!ahan "er7adi
+. 8erapa kali be!arn%a ke-epa"an "erminal denan
per-epa"an !iklon dibandin denan ke-epa"an "erminal7ika pemi!ahan dilakukan !e-ara rai"a!i
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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A!um!i
3ar"ikel berben"uk !pheri-al
Ke-epa"an "erminal dari par"ikel %an dipenaruhi per-epa"an !en"ripe"al
!iklon berada di dindin !iklon ( pan7an 7ari7ari dari !iklon)
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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A
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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3er!amaan #.#5
3er!amaan dia"a! adalah per!amaan umum %an akan ki"a unakan.
3er!amaan dia"a! diunakan un"uk mendapa" nilai e dari par"ikel berukuran
/0m dan 40m.
3ada perhi"unan denan per-epa"an !iklon. Nilai pada per!amaan
(per-epa"an rai"a!i) dian"i oleh (per-epa"an !en"ripe"al)
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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3er-epa"an akiba" !epara"or -%-lone
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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3er-epa"an rai"a!i dian"i denan per-epa"an !en"riual
9iame"er /0 µm
(denan !epara"or)
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8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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Nilai terminal velocity:
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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9iame"er 40 µm
(denan !epara"or)
3er-epa"an rai"a!i dian"i denan per-epa"an !en"riual
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8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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Nilai terminal velocity:
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8
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9aerah korela!i R(ρu/) ! e
.
@aminar 8@ and
lare
!epara"ion
"urbulenand red
!epara"i@aminar 8@ and
no !epara"ion
@aminar 8@ and
!lih" !epara"ion
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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8erda!arkan daerah raik korela!i (=u/) ! e dapa" ki"a liha" bahBa
pemi!ahan mulai "er7adi pada reion 8 (0.2 < Re' < 500–1000). 3ada reion 8mulai "er7adi !ediki" pemi!ahan.
Apabila ki"a hubunkan denan perhi"unan nilai e par"ikel berukuran /0m
dan 40m. 9enan menunakan !iklon partikel akan terpisah. Nilai epar"ikel berukuran /0m dan 40m adalah !ebe!ar 1,16 dan ',1 (nilai "er!ebu""erle"ak pada reion 8)
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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+
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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9iame"er /0 µm (rai"a!i)
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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Nilai terminal velocity:
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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9iame"er 40 µm (rai"a!i)
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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Nilai terminal velocity:
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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3erbandinan Ke-epa"an Terminal
Pada Diameter 20 m
8erda!arkan ha!il perhi"unan diperoleh bahBa be!ar ke-epa"an "erminal denan!epara"or 179 kali lebih besar dibandinkan pemi!ahan denan rai"a!i
Pada Diameter 40 m
8erda!arkan ha!il perhi"unan diperoleh bahBa be!ar ke-epa"an "erminal denan!epara"or 151 kali lebih besar dibandinkan pemi!ahan denan rai"a!i
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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Nomor 7
Udara mengalir pada pelat horizontal dengan panja
200 m dan lebar 100 mm wide. Pada jarak beberapdari leading edge ( x 1), lapian bata t!rb!len memp
ketebalan δ1 # $.2$ mm dan ke%epatan pada daera
in&i%id adalah U1 # 12.$ m'. engarah ke belakan
2, ketebalann"a δ2 # 2* mm. Pro+l ke%epatan bia
dengan peramaan pangkat 1'7. it!nglah ke%epatdaerah in&i%id pada x 2, dan pre!re drop antara x
-enita !dara #1.2 kg'm dan &ikoita kinemat1.$10/$ m2'e%.
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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-iketah!i
# 200m b# 100 mm δ1 # $.2$ mm
U1 # 12.$ m' 1.2 kg'm
•
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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3ehingga
4arena
-an pada gra+k daerah t!rb!len dikerah!i
aka
•
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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-engan metode integrae eperai didapatk
•
-iketah!i
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-iketah!i
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enghit!ng nilai 51
Unt!k menghit!ng nilai 51 dig!nakan metod
and error
•
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$
10
76.76*
$
10
76.76*
-iketah!i nilai dari 51 adalah ekitar 76
it!ng nilai e"nold
aka aliran tereb!t terb!kti t!rb!len
3ebel!mn"a !nt!k menghit!ng 8, kital k
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memerl!kan 9:
-ipla%ement thi%kne dir!m!kan ebagai
4arena, 1'7/power epreion, maka
3ehingga menjadi
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enghit!ng 9:
91 # $.2$
mm
92 # 2* mm
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enghit!ng 8
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• engg!nakan peramaan ;erno!lli
Pen"eleaian
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• <idak ada kerja "ang dilak!kan pada item
• <idak ada ga"a =riki
•
<idak ada perbedaan ketinggian pada titik"ang ditinja!
3ehingga, peramaan ;erno!lli menjadi
8/17/2019 Mekanika Fluida - Contoh Soal Motion of Particles in Fluid
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-alam oal ke%epatan diimbolkan U, hinggaperamaann"a menjadi
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