A 0.5 cm diameter copper wire is exposed to environment air in cross flow over the wire with uniform velocity of 0.5 m/s. The copper wire is insulated by a rubberized sheath with thermal conductivity of 0.13 W/m∙K. The outer surface of the wire has a temperature of 60˚C due to the electric current flowing through it. The thermo-physical properties of the environment are υ =15.89 × 10-6 m2 /s, Pr = 0.707, k = 26.3 x 10-3 W/m.K. The outer surface of the insulation must be kept at temperature of 45˚C or below. Design a suitable thickness of the insulation in order toallow the use of such insulated wire in a room temperature of 27˚C.
A 0.5 cm diameter copper wire is exposed to environment air in cross flow over the wire with uniform velocity of 0.5 m/s. The copper wire is insulated by a rubberized sheath with thermal conductivity of 0.13 W/m∙K. The outer surface of the wire has a temperature of 60˚C due to the electric current flowing through it. The thermo-physical properties of the environment are υ =15.89 × 10-6 m2 /s, Pr = 0.707, k = 26.3 x 10-3 W/m.K. The outer surface of the insulation must be kept at temperature of 45˚C or below. Design a suitable thickness of the insulation in order toallow the use of such insulated wire in a room temperature of 27˚C.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A 0.5 cm diameter copper wire is exposed to environment air in cross flow over the wire with uniform velocity of 0.5 m/s. The copper wire is insulated by a rubberized sheath with thermal conductivity of 0.13 W/m∙K. The outer surface of the wire has a temperature of 60˚C due to the electric current flowing through it. The thermo-physical properties of the environment are υ =15.89 × 10-6 m2 /s, Pr = 0.707, k = 26.3 x 10-3 W/m.K. The outer surface of the insulation must be kept at temperature of 45˚C or below. Design a suitable thickness of the insulation in order toallow the use of such insulated wire in a room temperature of 27˚C.
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