2-102 A long homogeneous resistance wire of radius r = 0.6 cm and thermal conductivity k 15.2 W/m-K 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 16.4 W/cm3. The heat generated is transferred to water at 100°C by convection with an average heat transfer coefficient of h 3200 W/m2-K. 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. Answer: () 125°C FIGURE P2-102 т. Water Resistance heater
2-102 A long homogeneous resistance wire of radius r = 0.6 cm and thermal conductivity k 15.2 W/m-K 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 16.4 W/cm3. The heat generated is transferred to water at 100°C by convection with an average heat transfer coefficient of h 3200 W/m2-K. 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. Answer: () 125°C FIGURE P2-102 т. Water Resistance heater
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.12P
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