4. A 2 mm diameter and 10 m long electric wire (copper with k=300W/(m-K) is tightly wrapped with a 1 mm thick plastic cover whose thermal conductivity is 0.15 W/(m-K). A current of 10 A passes through the wire, and there is a voltage drop of 8V along the wire a) If the insulated wire is exposed to a medium at T = 30°C with a heat transfer coefficient h= 24W/(m²-K), calculate the heat flux through the outside of the insulation layer at steady state. b) Determine the steady state temperatures at the interface between the plastic cover and the wires, and at the outside of the insulation layer. c) What happens to the values found in parts (a) and (b) if the thickness of the insulation doubles to 2mm? Explain your results.
4. A 2 mm diameter and 10 m long electric wire (copper with k=300W/(m-K) is tightly wrapped with a 1 mm thick plastic cover whose thermal conductivity is 0.15 W/(m-K). A current of 10 A passes through the wire, and there is a voltage drop of 8V along the wire a) If the insulated wire is exposed to a medium at T = 30°C with a heat transfer coefficient h= 24W/(m²-K), calculate the heat flux through the outside of the insulation layer at steady state. b) Determine the steady state temperatures at the interface between the plastic cover and the wires, and at the outside of the insulation layer. c) What happens to the values found in parts (a) and (b) if the thickness of the insulation doubles to 2mm? Explain your results.
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:4. A 2 mm diameter and 10 m long electric wire (copper with
k=300W/(m-K) is tightly wrapped with a 1 mm thick
plastic cover whose thermal conductivity is 0.15 W/(m-K).
A current of 10 A passes through the wire, and there is a
voltage drop of 8V along the wire
a) If the insulated wire is exposed to a medium at T* = 30°C
with a heat transfer coefficient h= 24W/(m²-K), calculate
the heat flux through the outside of the insulation layer at
steady state.
b) Determine the steady state temperatures at the interface
between the plastic cover and the wires, and at the outside
of the insulation layer.
c) What happens to the values found in parts (a) and (b) if
the thickness of the insulation doubles to 2mm? Explain
%3D
your results.
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