A tube with outer diameter of 2 cm is maintained at uniform temperature and is covered with an insulating layer (k = 0.18 W/m.K) in order to reduce the heat loss. Heat is dissipated from the outer surface of insulation with h = 12 W/m2.K into an ambient at constant temperature. Determine the critical thickness of insulation. Calculate the ratio of heat loss from the tube with insulation to heat loss without insulation for (i) the thickness of insulation equal to the critical thickness, and (ii) the thickness of insulation 2.5 cm thicker than the critical thickness.
A tube with outer diameter of 2 cm is maintained at uniform temperature and is covered with an insulating layer (k = 0.18 W/m.K) in order to reduce the heat loss. Heat is dissipated from the outer surface of insulation with h = 12 W/m2.K into an ambient at constant temperature. Determine the critical thickness of insulation. Calculate the ratio of heat loss from the tube with insulation to heat loss without insulation for (i) the thickness of insulation equal to the critical thickness, and (ii) the thickness of insulation 2.5 cm thicker than the critical thickness.
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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Question
A tube with outer diameter of 2 cm is maintained at
uniform temperature and is covered with an
insulating layer (k = 0.18 W/m.K) in order to reduce
the heat loss. Heat is dissipated from the outer surface
of insulation with h = 12 W/m2.K into an ambient at
constant temperature. Determine the critical
thickness of insulation. Calculate the ratio of heat loss from the tube with insulation to heat loss without
insulation for
(i) the thickness of insulation equal to the critical
thickness, and
(ii) the thickness of insulation 2.5 cm thicker than
the critical thickness.
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