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: McGraw-Hill Education
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10B.8. Electrical heating of a pipe (Fig. 10B.8). In the manufacture of glass-coated steel pipes, it is
common practice first to heat the pipe to the melting range of glass and then to contact the hot
pipe surface with glass granules. These granules melt and wet the pipe surface to form a
tightly adhering nonporous coat. In one method of preheating the pipe, an electric current is
passed along the pipe, with the result that the pipe is heated (as in §10.2). For the purpose of
this problem make the following assumptions:
(i) The electrical conductivity of the pipe k, is constant over the temperature range of in-
terest. The local rate of electrical heat production S, is then uniform throughout the pipe wall.
(ii) The top and bottom of the pipe are capped in such a way that heat losses through
them are negligible.
(iii) Heat loss from the outer surface of the pipe to the surroundings is given by New-
ton's law of cooling:q,h(T,T). Here h is a suitable heat transfer coefficient.
How much electrical power is needed to maintain the inner pipe surface at some desired
temperature, T., for known k, T., h, and pipe dimensions?
Answer: P
Power
supply
Ambient air
temperature T
Pipe wall
Fig. 10B.8. Electrical heating of a pipe.
TR(1 KLT, T₁)
(1-k²)R (KR)²
2h
R³ [(1-1)-2 Ink]
4k
expand button
Transcribed Image Text:10B.8. Electrical heating of a pipe (Fig. 10B.8). In the manufacture of glass-coated steel pipes, it is common practice first to heat the pipe to the melting range of glass and then to contact the hot pipe surface with glass granules. These granules melt and wet the pipe surface to form a tightly adhering nonporous coat. In one method of preheating the pipe, an electric current is passed along the pipe, with the result that the pipe is heated (as in §10.2). For the purpose of this problem make the following assumptions: (i) The electrical conductivity of the pipe k, is constant over the temperature range of in- terest. The local rate of electrical heat production S, is then uniform throughout the pipe wall. (ii) The top and bottom of the pipe are capped in such a way that heat losses through them are negligible. (iii) Heat loss from the outer surface of the pipe to the surroundings is given by New- ton's law of cooling:q,h(T,T). Here h is a suitable heat transfer coefficient. How much electrical power is needed to maintain the inner pipe surface at some desired temperature, T., for known k, T., h, and pipe dimensions? Answer: P Power supply Ambient air temperature T Pipe wall Fig. 10B.8. Electrical heating of a pipe. TR(1 KLT, T₁) (1-k²)R (KR)² 2h R³ [(1-1)-2 Ink] 4k
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