10 m long pipe is being used to deliver steam through a processing plant. The inner radius of the pipe is r1 = 6 cm and the thickness of the pipe is 2 cm. Thermal conductivity k = 8 W/m⋅K and the average temperature steam flowing through the pipe is 160°C, the average convection heat transfer coefficient on the inner surface is given to be h = 20 W/m2⋅K. If the average temperature on the outer surfaces of the pipe is T2 = 70°C, (a) express the differential equation and the boundary conditions for steady operating conditions, (b) determine a relation for the variation of temperature in the pipe, and (c) evaluate the rate of heat loss (heat of conduction) from the steam through the pipe. 10 m long pipe is being used to deliver steamthrough a processing plant. The inner radius of the pipe is r,6 cm and the thickness of the pipe is 2 cm. Thermalconductivity k = 8 W/m K and the average temperature steamflowing through the pipe is 160°C, the average convectionheat transfer coefficient on the inner surface is given to be h =20 W/m2 K. If the average temperature on the outer surfacesof the pipe is T, = 70°C, (a) express the differential equationand the boundary conditions for steady operating conditions,(b) determine a relation for the variation of temperature in thepipe, and (c) evaluate the rate of heat loss (heat of conduction)from the steam through the pipe.2

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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10 m long pipe is being used to deliver steam through a processing plant. The inner radius of the pipe is r₁ = 6 cm and the thickness of the pipe is 2 cm. Thermal conductivity k = 8 W/m⋅K and the average temperature steam flowing through the pipe is 160°C, the average convection heat transfer coefficient on the inner surface is given to be h = 20 W/m2⋅K. If the average temperature on the outer surfaces of the pipe is T₂ = 70°C, (a) express the differential equation and the boundary conditions for steady operating conditions, (b) determine a relation for the variation of temperature in the pipe, and (c) evaluate the rate of heat loss (heat of conduction) from the steam through the pipe.

10 m long pipe is being used to deliver steam
through a processing plant. The inner radius of the pipe is r,
6 cm and the thickness of the pipe is 2 cm. Thermal
conductivity k = 8 W/m K and the average temperature steam
flowing through the pipe is 160°C, the average convection
heat transfer coefficient on the inner surface is given to be h =
20 W/m2 K. If the average temperature on the outer surfaces
of the pipe is T, = 70°C, (a) express the differential equation
and the boundary conditions for steady operating conditions,
(b) determine a relation for the variation of temperature in the
pipe, and (c) evaluate the rate of heat loss (heat of conduction)
from the steam through the pipe.
2

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