Pertemuan 15.ppt
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Transcript of Pertemuan 15.ppt
![Page 1: Pertemuan 15.ppt](https://reader036.fdocuments.net/reader036/viewer/2022082215/55cf8eeb550346703b9705f8/html5/thumbnails/1.jpg)
Kuliah Minggu IX (Hari ke-1)
Penyelesaian Konduksi Transient
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Persamaan Konduksi
t
Tcg
z
Tk
zy
Tk
yx
Tk
x p
t
Tcg
z
Tk
z
Tk
rr
Tkr
rr p
2
11
t
Tcg
Tk
Cosr
TkCos
Cosrr
Tkr
rrp
2222
2
111
![Page 3: Pertemuan 15.ppt](https://reader036.fdocuments.net/reader036/viewer/2022082215/55cf8eeb550346703b9705f8/html5/thumbnails/3.jpg)
Jawaban
• Steady :
• Transient :
),,( zyxT
),,,( tzyxT
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Bagaimana Menyelesaikannya?
•Lumped system analysis•Spatial effects•Teknik Superposisi•Numerik
![Page 5: Pertemuan 15.ppt](https://reader036.fdocuments.net/reader036/viewer/2022082215/55cf8eeb550346703b9705f8/html5/thumbnails/5.jpg)
Lumped system (Analisis seragam)
• Konduksi di dalam lebih besar dari konveksi di permukaan
• Temperatur di dalam dianggap seragam untuk tiap satuan waktu
massa, m
volume, V
T awal, TiT sekarang,
T(t)
TsA
h
Q
t
TmcTThA ps
)(
dTmcdtTThA ps )(
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Analysis seragam
d
dtmc
hA
p
s
tmc
hA
TT
TT
p
s
ii
exp
s
p
s
p
hA
Vc
hA
mc
t
i
eTT
TT
![Page 7: Pertemuan 15.ppt](https://reader036.fdocuments.net/reader036/viewer/2022082215/55cf8eeb550346703b9705f8/html5/thumbnails/7.jpg)
Temperatur history
![Page 8: Pertemuan 15.ppt](https://reader036.fdocuments.net/reader036/viewer/2022082215/55cf8eeb550346703b9705f8/html5/thumbnails/8.jpg)
Laju Perpindahan Panas
t
s
t
dtTThAdtqQ00
)(
tt
is dteTThAQ0
)(
tip eTTmcQ
1)(
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Keabsahan analysis seragam
Qk QhQh
Qk
(a) (b)
![Page 10: Pertemuan 15.ppt](https://reader036.fdocuments.net/reader036/viewer/2022082215/55cf8eeb550346703b9705f8/html5/thumbnails/10.jpg)
Konduksi harus lebih kuat dari konveksi
Bik
hL
hA
kAL
R
R cc
conv
cond )1(
)(
1,0Bi
![Page 11: Pertemuan 15.ppt](https://reader036.fdocuments.net/reader036/viewer/2022082215/55cf8eeb550346703b9705f8/html5/thumbnails/11.jpg)
Contoh
![Page 12: Pertemuan 15.ppt](https://reader036.fdocuments.net/reader036/viewer/2022082215/55cf8eeb550346703b9705f8/html5/thumbnails/12.jpg)
Penyelesaian
![Page 13: Pertemuan 15.ppt](https://reader036.fdocuments.net/reader036/viewer/2022082215/55cf8eeb550346703b9705f8/html5/thumbnails/13.jpg)
Penyelesaian
![Page 14: Pertemuan 15.ppt](https://reader036.fdocuments.net/reader036/viewer/2022082215/55cf8eeb550346703b9705f8/html5/thumbnails/14.jpg)
Contoh 2
![Page 15: Pertemuan 15.ppt](https://reader036.fdocuments.net/reader036/viewer/2022082215/55cf8eeb550346703b9705f8/html5/thumbnails/15.jpg)
Penyelesaian
![Page 16: Pertemuan 15.ppt](https://reader036.fdocuments.net/reader036/viewer/2022082215/55cf8eeb550346703b9705f8/html5/thumbnails/16.jpg)
Penyelesaian
![Page 17: Pertemuan 15.ppt](https://reader036.fdocuments.net/reader036/viewer/2022082215/55cf8eeb550346703b9705f8/html5/thumbnails/17.jpg)
Persamaan umum analysis seragam
T awal, Ti
T sekarang, T(t)
T
sA
hconvq
radqq
gE
surT
dt
dTVcqqEAq pradconvgf
dt
dTVcTTATThAEAq psssgf )()( 44
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Persamaan umum jika hanya ada radiasi
dt
dTVcTTA psurs )( 44
AT
T
TT
TT
TA
Vct
sursur
sur
surs
p 14
tan2ln4
sur
i
isur
isur
T
T
TT
TTA 1tan2ln
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Persamaan umum jika hanya radiasi yang diabaikan
dt
dTVcTThAEAq psgf )(
TT pgf VcEAqb )( ps VchAa
0 badt
d
)exp(1)exp( atTT
abat
TT
TT
ii
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Contoh 3