A 2-kW resistance heater wire with thermal conductivity k = 15 W/m - °C, di- ameter D = 0.4 cm, and length L = 50 cm is used to boil water by immersing Water it in water (Fig. 2-19). Assuming the variation of the thermal conductivity of the wire with temperature to be negligible, obtain the differential equation that de- scribes the variation of the temperature in the wire during steady operation. Resistance heater

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8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.12P
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A 2-kW resistance heater wire with thermal conductivity k = 15 W/m - °C, di-
ameter D = 0.4 cm, and length L = 50 cm is used to boil water by immersing
Water
it in water (Fig. 2-19). Assuming the variation of the thermal conductivity of the
wire with temperature to be negligible, obtain the differential equation that de-
scribes the variation of the temperature in the wire during steady operation.
Resistance
heater
Transcribed Image Text:A 2-kW resistance heater wire with thermal conductivity k = 15 W/m - °C, di- ameter D = 0.4 cm, and length L = 50 cm is used to boil water by immersing Water it in water (Fig. 2-19). Assuming the variation of the thermal conductivity of the wire with temperature to be negligible, obtain the differential equation that de- scribes the variation of the temperature in the wire during steady operation. Resistance heater
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