3) A long homogeneous resistance wire of radius ro = 0.25 in. and thermal conductivity k = .6 Btu/h ft. °F is being used to boil water at atmospheric pressure by the passage of electric current. Heat is generated in the wire uniformly as a result of resistance heating at a rate of g = 1800 Btu/h in³. The heat generated is transferred to water at 212°F by convection with an average heat transfer coefficient of h = 820 Btu/h ft² °F. Assuming steady one-dimensional heat transfer, (a) express the differential equation and the boundary conditions for heat conduction through the wire, (b) obtain a relation for the variation of temperature in the wire by solving the differential equation, and (c) determine the temperature at the centerline of the wire. . . . .

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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3) A long homogeneous resistance wire of radius ro = 0.25 in. and thermal conductivity k
.6 Btu/h ft °F is being used to boil water at atmospheric pressure by the passage of electric
current. Heat is generated in the wire uniformly as a result of resistance heating at a rate of ġ
= 1800 Btu/h in³. The heat generated is transferred to water at 212°F by convection with an
average heat transfer coefficient of h = 820 Btu/h ft² °F. Assuming steady one-dimensional
heat transfer, (a) express the differential equation and the boundary conditions for heat
conduction through the wire, (b) obtain a relation for the variation of temperature in the wire
by solving the differential equation, and (c) determine the temperature at the centerline of the
9.
wire.
.
Transcribed Image Text:= • 3) A long homogeneous resistance wire of radius ro = 0.25 in. and thermal conductivity k .6 Btu/h ft °F is being used to boil water at atmospheric pressure by the passage of electric current. Heat is generated in the wire uniformly as a result of resistance heating at a rate of ġ = 1800 Btu/h in³. The heat generated is transferred to water at 212°F by convection with an average heat transfer coefficient of h = 820 Btu/h ft² °F. Assuming steady one-dimensional heat transfer, (a) express the differential equation and the boundary conditions for heat conduction through the wire, (b) obtain a relation for the variation of temperature in the wire by solving the differential equation, and (c) determine the temperature at the centerline of the 9. wire. .
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