5. Steady-state temperatures (K) at three nodal points of a long rectangular rod are as shown. The rod experiences a uniform volumetric generation rate of 5×107 W/m³ and has a thermal conductivity of 20W/m• K. Two of its sides are maintained at a constant temperature of 300K, while the others are insulated. (a) Determine the temperatures at nodes 1, 2, and 3. (b) Calculate the heat transfer rate per unit length (W/m) from the rod using the nodal temperatures. Compare this result with the heat rate calculated from knowledge of the volumetric generation rate and the rod dimensions. Answer: (a) T1=362.4K, T2=390.2K, T3=369.0K (b) 7500W/m 5 mm 398.0 348.5 374.6 Uniform temperature, 300 K 5 mm

5. Steady-state temperatures (K) at three nodal points of a long rectangular rod are as shown. The rod experiences a uniform volumetric generation rate of 5×107 W/m³ and has a thermal conductivity of 20W/m• K. Two of its sides are maintained at a constant temperature of 300K, while the others are insulated. (a) Determine the temperatures at nodes 1, 2, and 3. (b) Calculate the heat transfer rate per unit length (W/m) from the rod using the nodal temperatures. Compare this result with the heat rate calculated from knowledge of the volumetric generation rate and the rod dimensions. Answer: (a) T1=362.4K, T2=390.2K, T3=369.0K (b) 7500W/m 5 mm 398.0 348.5 374.6 Uniform temperature, 300 K 5 mm

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.

Chapter2: Steady Heat Conduction

Section: Chapter Questions

Problem 2.30P: 2.30 An electrical heater capable of generating 10,000 W is to be designed. The heating element is...

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