KNOWN: Diameter of electrical wire. Thickness and thermal conductivity of rubberized sheath. Contact resistance between sheath and wire. Convection coefficient and ambient air temperature. Maximum allowable sheath temperature. FIND: Maximum allowable power dissipation per unit length of wire. Critical radius of insulation. SCHEMATIC: Wire Egen, D = 2 mm Rtc 3x10-4 m²-K/W Air q' Tw,o Tin,i ww Rt.c R'cond Tin,o Το www. R'conv Insulation, t = 2 mm k = 0.13 W/m-K Tmax = 50°C Tap=20°C h = 10 W/m²-K ASSUMPTIONS: (1) Steady-state, (2) One-dimensional radial conduction through insulation, (3) Constant properties, (4) Negligible radiation exchange with surroundings.
KNOWN: Diameter of electrical wire. Thickness and thermal conductivity of rubberized sheath. Contact resistance between sheath and wire. Convection coefficient and ambient air temperature. Maximum allowable sheath temperature. FIND: Maximum allowable power dissipation per unit length of wire. Critical radius of insulation. SCHEMATIC: Wire Egen, D = 2 mm Rtc 3x10-4 m²-K/W Air q' Tw,o Tin,i ww Rt.c R'cond Tin,o Το www. R'conv Insulation, t = 2 mm k = 0.13 W/m-K Tmax = 50°C Tap=20°C h = 10 W/m²-K ASSUMPTIONS: (1) Steady-state, (2) One-dimensional radial conduction through insulation, (3) Constant properties, (4) Negligible radiation exchange with surroundings.
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter9: Heat Transfer With Phase Change
Section: Chapter Questions
Problem 9.12P
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![KNOWN: Diameter of electrical wire. Thickness and thermal conductivity of rubberized sheath.
Contact resistance between sheath and wire. Convection coefficient and ambient air temperature.
Maximum allowable sheath temperature.
FIND: Maximum allowable power dissipation per unit length of wire. Critical radius of insulation.
SCHEMATIC:
Wire
Egen, D = 2 mm
Rtc 3x10-4 m²-K/W
Air
q'
Tw,o Tin,i
ww
Rt.c R'cond
Tin,o
Το
www.
R'conv
Insulation, t = 2 mm
k = 0.13 W/m-K
Tmax = 50°C
Tap=20°C
h = 10 W/m²-K
ASSUMPTIONS: (1) Steady-state, (2) One-dimensional radial conduction through insulation, (3)
Constant properties, (4) Negligible radiation exchange with surroundings.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee0d03cc-7cc4-4eb9-a594-2d336c0fb45c%2F41a74baa-0eca-4c7c-8ef1-eb33a8d79386%2Fwdwiwur_processed.jpeg&w=3840&q=75)
Transcribed Image Text:KNOWN: Diameter of electrical wire. Thickness and thermal conductivity of rubberized sheath.
Contact resistance between sheath and wire. Convection coefficient and ambient air temperature.
Maximum allowable sheath temperature.
FIND: Maximum allowable power dissipation per unit length of wire. Critical radius of insulation.
SCHEMATIC:
Wire
Egen, D = 2 mm
Rtc 3x10-4 m²-K/W
Air
q'
Tw,o Tin,i
ww
Rt.c R'cond
Tin,o
Το
www.
R'conv
Insulation, t = 2 mm
k = 0.13 W/m-K
Tmax = 50°C
Tap=20°C
h = 10 W/m²-K
ASSUMPTIONS: (1) Steady-state, (2) One-dimensional radial conduction through insulation, (3)
Constant properties, (4) Negligible radiation exchange with surroundings.
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