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Consider a steam pipe of length L = 15 ft, inner radius ri = 2 in., outer radius r2 = 2.4 in., and thermal conductivity k= 7.2 Btu/h · ft - F. Steam is flowing through the pipe at an average temperature of 250°F, and the average convection heat transfer coefficient on the inner surface is given to be h = 12.5 Btu/h · ft² - F . If the average temperature on the outer surfaces of the pipe is T2 = 160°F, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the pipe, (b) obtain a relation for the variation of temperature in the pipe by solving the differential equation, and (c) evaluate the rate of heat loss from the steam through the pipe. Answer: (c) 16,800 Btu/h rT; = 160°F Steam 250°F

Consider a steam pipe of length L = 15 ft, inner radius ri = 2 in., outer radius r2 = 2.4 in., and thermal conductivity k= 7.2 Btu/h · ft - F. Steam is flowing through the pipe at an average temperature of 250°F, and the average convection heat transfer coefficient on the inner surface is given to be h = 12.5 Btu/h · ft² - F . If the average temperature on the outer surfaces of the pipe is T2 = 160°F, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the pipe, (b) obtain a relation for the variation of temperature in the pipe by solving the differential equation, and (c) evaluate the rate of heat loss from the steam through the pipe. Answer: (c) 16,800 Btu/h rT; = 160°F Steam 250°F

Introduction to Chemical Engineering Thermodynamics
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 steam pipe of length L 2 in., outer radius r2 = 2.4 in., and thermal conductivity k = 7.2 Btu/h - ft - F. Steam is flowing through the pipe at an average temperature of 250°F, and the average convection heat transfer coefficient on the inner surface is given to be h = 12.5 Btu/h - ft? - F. If the 15 ft, inner radius ri = average temperature on the outer surfaces of the pipe is T2 = 160°F, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the pipe, (b) obtain a relation for the variation of temperature in the pipe by solving the differential equation, and (c) evaluate the rate of heat loss from the steam through the pipe. Answer: (c) 16,800 Btu/h Steam – T2 = = 160°F 250°F h
Transcribed Image Text:Consider a steam pipe of length L 2 in., outer radius r2 = 2.4 in., and thermal conductivity k = 7.2 Btu/h - ft - F. Steam is flowing through the pipe at an average temperature of 250°F, and the average convection heat transfer coefficient on the inner surface is given to be h = 12.5 Btu/h - ft? - F. If the 15 ft, inner radius ri = average temperature on the outer surfaces of the pipe is T2 = 160°F, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the pipe, (b) obtain a relation for the variation of temperature in the pipe by solving the differential equation, and (c) evaluate the rate of heat loss from the steam through the pipe. Answer: (c) 16,800 Btu/h Steam – T2 = = 160°F 250°F h
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