Saturated steam at 267°F is flowing inside a hollow sphere with an ID of 0.824 in. and an OD of 1.05 in. The pipe is insulated with 1.5 in. of insulation on the outside. The convective heat transfer coefficient inside and outside the pipe is hi = 1000 Btu/hr/ft2/°F and ho = 2 Btu/hr/ft2/°F, respectively. The mean thermal conductivity of the metal is 45 W/m/K or 26 Btu/hr/ft/°F, while that of the insulation material is 0.064 W/m/K or 0.037 Btu/hr/ft/°F. www a. Calculate the heat loss for 1 ft of pipe using resistances if the surrounding air is 80°F. b. Calculate the temperature profile developed for this system. c. Calculate the inside and outside overall heat transfer coefficients.

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
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Hollow Sphere
Saturated steam at 267°F is flowing inside a hollow sphere with an ID of 0.824 in. and an OD of 1.05 in.
The pipe is insulated with 1.5 in. of insulation on the outside. The convective heat transfer coefficient inside
and outside the pipe is hi = 1000 Btu/hr/ft2/°F and ho = 2 Btu/hr/ft2/°F, respectively. The mean thermal
conductivity of the metal is 45 W/m/K or 26 Btu/hr/ft/°F, while that of the insulation material is 0.064
W/m/K or 0.037 Btu/hr/ft/°F.
a. Calculate the heat loss for 1 ft of pipe using resistances if the surrounding air is at 80°F.
b. Calculate the temperature profile developed for this system.
c. Calculate the inside and outside overall heat transfer coefficients.
Transcribed Image Text:Hollow Sphere Saturated steam at 267°F is flowing inside a hollow sphere with an ID of 0.824 in. and an OD of 1.05 in. The pipe is insulated with 1.5 in. of insulation on the outside. The convective heat transfer coefficient inside and outside the pipe is hi = 1000 Btu/hr/ft2/°F and ho = 2 Btu/hr/ft2/°F, respectively. The mean thermal conductivity of the metal is 45 W/m/K or 26 Btu/hr/ft/°F, while that of the insulation material is 0.064 W/m/K or 0.037 Btu/hr/ft/°F. a. Calculate the heat loss for 1 ft of pipe using resistances if the surrounding air is at 80°F. b. Calculate the temperature profile developed for this system. c. Calculate the inside and outside overall heat transfer coefficients.
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How did you calculated for the area of the sphere used in Q total and as well as Ai and Ao , please show the calculation for are separately. (Only show the computation for areas of the sphere used)

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