The reduced general heat conduction equation in cylindrical coordinates is d²T 1 dT + 0 (2.38) dr² r dr 1. Show that he temperature distribution for a hollow cylinder is given by Ts1 - Ts2 T(r)= (²) + + Ts2 Boundary conditions: T(r=r1) = Ts1 T(r=r2) = Ts2 2. The temperature of an insulated pipe wall is maintained by steam at 110°C The outer insulation surface temperature is kept at 27°C. If the pipe diameter is 13-cm and the insulation thickness is 5-cm, plot the temperature distribution across the insulation layer. In() In
The reduced general heat conduction equation in cylindrical coordinates is d²T 1 dT + 0 (2.38) dr² r dr 1. Show that he temperature distribution for a hollow cylinder is given by Ts1 - Ts2 T(r)= (²) + + Ts2 Boundary conditions: T(r=r1) = Ts1 T(r=r2) = Ts2 2. The temperature of an insulated pipe wall is maintained by steam at 110°C The outer insulation surface temperature is kept at 27°C. If the pipe diameter is 13-cm and the insulation thickness is 5-cm, plot the temperature distribution across the insulation layer. In() In
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:The reduced general heat conduction equation in cylindrical coordinates is
d²T 1 dT
+- = 0
(2.38)
dr² r dr
1. Show that he temperature distribution for a hollow cylinder is given by
Ts1 - Ts2
T(r) =
In
+ Ts2
In()
Boundary conditions:
T(r=r1) = Ts1
T(r=r2) = Ts2
2. The temperature of an insulated pipe wall is maintained by steam at 110°C The
outer insulation surface temperature is kept at 27°C. If the pipe diameter is 13-cm
and the insulation thickness is 5-cm, plot the temperature distribution across the
insulation layer.
=
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