Consider a steel pipeline (AISI 1010) that is 1 m in diameter and has a wall thickness of 40 mm. The pipe is heavily insulated on the outside, and, before the initiation of flow, the walls of the pipe are at a uniform temperature of -20 ◦C. With the initiation of flow, hot oil at 60 ◦C is pumped through the pipe, creating a convective condition corresponding to h= 500 W/m2 K at the inner surface of the pipe.a) What are the appropriate Biot and Fourier numbers 8 min after the initiation of flow?b) At t = 8 min, what is the temperature of the exterior pipe surface covered by the insulation?c) What is the heat flux q (W/m2 ) to the pipe from the oil at t = 8 min?d)How much energy per meter of pipe length has been transferred from the oil to the pipe at t= 8 min? Consider a steel pipeline (AISI 1010) that is 1 m in diameter and hasa wall thickness of 40 mm. The pipe is heavily insulated on theoutside, and, before the initiation of flow, the walls of the pipe are ata uniform temperature of -20 •C. With the initiation of flow, hot oil at60 •C is pumped through the pipe, creating a convective conditioncorresponding to h= 500 W/m² K at the inner surface of the pipe.a. What are the appropriate Biot and Fourier numbers 8 min afterthe initiation of flow?b. At t = 8 min, what is the temperature of the exterior pipe surfacecovered by the insulation?c. What is the heat flux q (W/m²) to the pipe from the oil at t = 8min?d. How much energy per meter of pipe length has been transferredfrom the oil to the pipe at t= 8 min?

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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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Consider a steel pipeline (AISI 1010) that is 1 m in diameter and has a wall thickness of 40 mm. The pipe is heavily insulated on the outside, and, before the initiation of flow, the walls of the pipe are at a uniform temperature of -20 ◦C. With the initiation of flow, hot oil at 60 ◦C is pumped through the pipe, creating a convective condition corresponding to h= 500 W/m² K at the inner surface of the pipe.

a) What are the appropriate Biot and Fourier numbers 8 min after the initiation of flow?

b) At t = 8 min, what is the temperature of the exterior pipe surface covered by the insulation?

c) What is the heat flux q (W/m2 ) to the pipe from the oil at t = 8 min?

d)How much energy per meter of pipe length has been transferred from the oil to the pipe at t= 8 min?

Consider a steel pipeline (AISI 1010) that is 1 m in diameter and has
a wall thickness of 40 mm. The pipe is heavily insulated on the
outside, and, before the initiation of flow, the walls of the pipe are at
a uniform temperature of -20 •C. With the initiation of flow, hot oil at
60 •C is pumped through the pipe, creating a convective condition
corresponding to h= 500 W/m² K at the inner surface of the pipe.
a. What are the appropriate Biot and Fourier numbers 8 min after
the initiation of flow?
b. At t = 8 min, what is the temperature of the exterior pipe surface
covered by the insulation?
c. What is the heat flux q (W/m²) to the pipe from the oil at t = 8
min?
d. How much energy per meter of pipe length has been transferred
from the oil to the pipe at t= 8 min?

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