3. Hot water with a temperature of 330 K is flowing through a pipe. Heat loss per unit pipe length is given by Equation 1, where q' is the heat loss per unit length of pipe (W/m), k is the thermal conductivity of the pipe material (W/(m.K)), T₂ is the temperature of the fluid inside the pipe, T₂ is the temperature on the outside surface of the pipe, and r₂ and r2 correspond to the radii (m) shown in Figure 1. q' = 2πk(T₁-T₂) in (12) (Eq. 1)

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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(a) What is the heat loss per unit length of the pipe?
(b) The pipe material is switched to PTFE (k = 0.38 W/(m⋅K)). To maintain the same heat loss as the
previous question, if all other parameters are to remain the same as before, what is the required thickness
of the pipe wall in centimeters?

3. Hot water with a temperature of 330 K is flowing through a pipe. Heat loss per unit pipe length is given
by Equation 1, where q' is the heat loss per unit length of pipe (W/m), k is the thermal conductivity of the
pipe material (W/(mK)), T₁ is the temperature of the fluid inside the pipe, T₂ is the temperature on the
outside surface of the pipe, and r₁ and r₂ correspond to the radii (m) shown in Figure 1.
q'
q'
=
T₂
2πk(T₁-T₂)
in (17/12)
T₁
Figure 1. Schematic of cross section of long pipe.
(Eq. 1)
A long PVC pipe has an inside diameter of 2.067 inches and a wall thickness of 0.154 inches. The thermal
conductivity for the PVC pipe is k = 0.1 W/m-K. The outside surface temperature of the pipe is maintained
at 293 K. For both questions, assume steady-state conditions, one-dimensional conduction, and constant
properties.
Transcribed Image Text:3. Hot water with a temperature of 330 K is flowing through a pipe. Heat loss per unit pipe length is given by Equation 1, where q' is the heat loss per unit length of pipe (W/m), k is the thermal conductivity of the pipe material (W/(mK)), T₁ is the temperature of the fluid inside the pipe, T₂ is the temperature on the outside surface of the pipe, and r₁ and r₂ correspond to the radii (m) shown in Figure 1. q' q' = T₂ 2πk(T₁-T₂) in (17/12) T₁ Figure 1. Schematic of cross section of long pipe. (Eq. 1) A long PVC pipe has an inside diameter of 2.067 inches and a wall thickness of 0.154 inches. The thermal conductivity for the PVC pipe is k = 0.1 W/m-K. The outside surface temperature of the pipe is maintained at 293 K. For both questions, assume steady-state conditions, one-dimensional conduction, and constant properties.
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