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SLIDESMANIA.COM
PERPINDAHAN PANAS KONDUKSI PADA DINDING
LAPIS RANGKAP BERBENTUK BOLA
(HEAT CONDUCTION THROUGH SPHERICAL WALLS)
Kelompok VII
Faiprianda Assyari Rahmatullah 1807111319
Niken Triani Klaway Reza 1807111284
Novia Yolanda 1807111316
SLIDESMANIA.COM
CONTOH SOAL I
Determine the heat transfer rate through a
spherical copper shell of thermal conductivity
k = 386 W/moC, inner radius ri = 2 cm, and
outer radius ro = 6 cm if the inner surface is
kept at Ti = 200oC and the outer surface at To =
100oC
JAWAB
π‘ž =
βˆ†π‘‡
βˆ‘π‘…π‘‘β„Ž
=
4πœ‹(𝑇𝑖 βˆ’ π‘‡π‘œ)
1
π‘Ÿπ‘–
βˆ’
1
π‘Ÿπ‘œ
π‘˜
π‘˜ = 386
π‘Š
π‘šπ‘œπΆ
π‘Ÿπ‘– = 2 π‘π‘š = 0.02 m
π‘Ÿπ‘œ = 6 π‘π‘š = 0.06 π‘š
𝑇𝑖 = 200℃
π‘‡π‘œ = 100℃
π‘ž =
4(3.14)(200 βˆ’ 100)
1
0.02
βˆ’
1
0.06
386
π‘ž = 14544.48 π‘Š
Sumber: Necati Ozisik, 1985, Heat
Transfer: A Basic Approach
ri
ro
Ti
To π‘ž = 14.54448 π‘˜π‘Š
SLIDESMANIA.COM
CONTOH SOAL III
Consider a spherical container of inner
radius ri = 8 cm, outer radius ro = 10 cm, and
thermal conductivity k = 45 W/moC. The
inner and outer surfaces of the container
are maintained at constant temperatures of
Ti = 200oC and To = 80oC, respectively, as a
result of some chemical reactions occurring
inside. Determine the heat transfer !
JAWAB
π‘ž =
βˆ†π‘‡
βˆ‘π‘…π‘‘β„Ž
=
4πœ‹(𝑇𝑖 βˆ’π‘‡π‘œ)
1
π‘Ÿπ‘–
βˆ’
1
π‘Ÿπ‘œ
π‘˜
π‘˜ = 45
π‘Š
π‘šπ‘œπΆ
π‘Ÿπ‘– = 8 π‘π‘š = 0.08m
π‘Ÿπ‘œ = 10 π‘π‘š = 0.1 π‘š
𝑇𝑖 = 200℃
π‘‡π‘œ = 80℃ π‘ž =
4(3.14)(200 βˆ’ 80)
1
0.08
βˆ’
1
0.1
45
π‘ž = 27129.6 π‘Š
π‘ž = 27.1296 π‘˜π‘Š
Sumber: Yunus A. Cengel, 2015,
Heat and Mass Transfer
SLIDESMANIA.COM
CONTOH SOAL IV
A spherical container with thermal conductivity (k = 12.5
Btu/hr.ft.oF) with 10 in inside diameter (di) and 12 outside
diameter (do) is covered by 3 in layer of asbestos insulation
have thermal conductivity (k = 0.14 Btu/hr.ft.oF). If the
inside wall temperature is 550oF and outside temperature is
100oF, calculate the heat transfer!
JAWAB
π‘˜1 = 12.5
𝐡𝑑𝑒
β„Žπ‘Ÿ. 𝑓𝑑. π‘œπΉ
π‘˜2 = 0.14
𝐡𝑑𝑒
β„Žπ‘Ÿ. 𝑓𝑑. π‘œπΉ
π‘Ÿ1 = 5 𝑖𝑛 = 0.42 𝑓𝑑
π‘Ÿ2 = 6 𝑖𝑛 = 0.5 𝑓𝑑
π‘Ÿ3 = 6 𝑖𝑛 + 3 𝑖𝑛 = 9 𝑖𝑛 = 0.75
𝑇𝑖 = 550π‘œπΉ
π‘‡π‘œ = 100π‘œπΉ
π‘ž =
βˆ†π‘‡
βˆ‘π‘…π‘‘β„Ž
=
4πœ‹(𝑇𝑖 βˆ’ π‘‡π‘œ)
1
π‘Ÿ1
βˆ’
1
π‘Ÿ2
π‘˜1
+
1
π‘Ÿ2
βˆ’
1
π‘Ÿ3
π‘˜2
π‘ž =
4(3.14)(550 βˆ’ 100)
1
0.42
βˆ’
1
0.5
12.5
+
1
0.5
βˆ’
1
0.75
0.14
π‘ž = 1179.372 𝐡𝑑𝑒/β„Žπ‘Ÿ
Sumber: Frank Keith, 2011, Principles of Heat Transfer
SLIDESMANIA.COM
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Perpindahan Panas Pada Dinding Lapis Bola - Operasi Perpindahan Kalor

  • 1. SLIDESMANIA.COM PERPINDAHAN PANAS KONDUKSI PADA DINDING LAPIS RANGKAP BERBENTUK BOLA (HEAT CONDUCTION THROUGH SPHERICAL WALLS) Kelompok VII Faiprianda Assyari Rahmatullah 1807111319 Niken Triani Klaway Reza 1807111284 Novia Yolanda 1807111316
  • 2. SLIDESMANIA.COM CONTOH SOAL I Determine the heat transfer rate through a spherical copper shell of thermal conductivity k = 386 W/moC, inner radius ri = 2 cm, and outer radius ro = 6 cm if the inner surface is kept at Ti = 200oC and the outer surface at To = 100oC JAWAB π‘ž = βˆ†π‘‡ βˆ‘π‘…π‘‘β„Ž = 4πœ‹(𝑇𝑖 βˆ’ π‘‡π‘œ) 1 π‘Ÿπ‘– βˆ’ 1 π‘Ÿπ‘œ π‘˜ π‘˜ = 386 π‘Š π‘šπ‘œπΆ π‘Ÿπ‘– = 2 π‘π‘š = 0.02 m π‘Ÿπ‘œ = 6 π‘π‘š = 0.06 π‘š 𝑇𝑖 = 200℃ π‘‡π‘œ = 100℃ π‘ž = 4(3.14)(200 βˆ’ 100) 1 0.02 βˆ’ 1 0.06 386 π‘ž = 14544.48 π‘Š Sumber: Necati Ozisik, 1985, Heat Transfer: A Basic Approach ri ro Ti To π‘ž = 14.54448 π‘˜π‘Š
  • 3. SLIDESMANIA.COM CONTOH SOAL III Consider a spherical container of inner radius ri = 8 cm, outer radius ro = 10 cm, and thermal conductivity k = 45 W/moC. The inner and outer surfaces of the container are maintained at constant temperatures of Ti = 200oC and To = 80oC, respectively, as a result of some chemical reactions occurring inside. Determine the heat transfer ! JAWAB π‘ž = βˆ†π‘‡ βˆ‘π‘…π‘‘β„Ž = 4πœ‹(𝑇𝑖 βˆ’π‘‡π‘œ) 1 π‘Ÿπ‘– βˆ’ 1 π‘Ÿπ‘œ π‘˜ π‘˜ = 45 π‘Š π‘šπ‘œπΆ π‘Ÿπ‘– = 8 π‘π‘š = 0.08m π‘Ÿπ‘œ = 10 π‘π‘š = 0.1 π‘š 𝑇𝑖 = 200℃ π‘‡π‘œ = 80℃ π‘ž = 4(3.14)(200 βˆ’ 80) 1 0.08 βˆ’ 1 0.1 45 π‘ž = 27129.6 π‘Š π‘ž = 27.1296 π‘˜π‘Š Sumber: Yunus A. Cengel, 2015, Heat and Mass Transfer
  • 4. SLIDESMANIA.COM CONTOH SOAL IV A spherical container with thermal conductivity (k = 12.5 Btu/hr.ft.oF) with 10 in inside diameter (di) and 12 outside diameter (do) is covered by 3 in layer of asbestos insulation have thermal conductivity (k = 0.14 Btu/hr.ft.oF). If the inside wall temperature is 550oF and outside temperature is 100oF, calculate the heat transfer! JAWAB π‘˜1 = 12.5 𝐡𝑑𝑒 β„Žπ‘Ÿ. 𝑓𝑑. π‘œπΉ π‘˜2 = 0.14 𝐡𝑑𝑒 β„Žπ‘Ÿ. 𝑓𝑑. π‘œπΉ π‘Ÿ1 = 5 𝑖𝑛 = 0.42 𝑓𝑑 π‘Ÿ2 = 6 𝑖𝑛 = 0.5 𝑓𝑑 π‘Ÿ3 = 6 𝑖𝑛 + 3 𝑖𝑛 = 9 𝑖𝑛 = 0.75 𝑇𝑖 = 550π‘œπΉ π‘‡π‘œ = 100π‘œπΉ π‘ž = βˆ†π‘‡ βˆ‘π‘…π‘‘β„Ž = 4πœ‹(𝑇𝑖 βˆ’ π‘‡π‘œ) 1 π‘Ÿ1 βˆ’ 1 π‘Ÿ2 π‘˜1 + 1 π‘Ÿ2 βˆ’ 1 π‘Ÿ3 π‘˜2 π‘ž = 4(3.14)(550 βˆ’ 100) 1 0.42 βˆ’ 1 0.5 12.5 + 1 0.5 βˆ’ 1 0.75 0.14 π‘ž = 1179.372 𝐡𝑑𝑒/β„Žπ‘Ÿ Sumber: Frank Keith, 2011, Principles of Heat Transfer