(a) Explanation Given: The diameter of the rod is D = 3 mm . The length of the rod is L = 120 mm The surrounding uniform temperature is T = 300 K . The temperature of the exitis T 2 = 1000 K . The electric current on the rodis I = 80 A . The electric resistivity of the material is = 95 × 10 − 8 Ω ⋅ m . Formula Used: The mean temperature is given by. T = T 2 + T 1 2 The thermal is calculated as. α = k ρ c Calculation: The mean temperature is calculated as. T = T 2 + T 1 2 = 300 K + 1000 K 2 = 630 K Refer to the table A-2 “ Properties of Tantalum ” Obtain the values at the corresponding temperature of 630 K . k = 58.8 W / m ⋅ K ρ = 16600 kg / m 3 c = 147 J / kg ⋅ K The thermal is calculated as. α = k ρ c = ( 58.8 W / m ⋅ K ) ( 16600 kg / m 3 ) ( 147 J / kg ⋅ K ) = 2.410 × 10 − 5 m 3 / s The finite difference equation is calculated as (b) To determine The steady state temperature distribution expression.

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ISBN: 9780470501979

Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine

Publisher: Wiley, John & Sons, Incorporated

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Chapter 5, Problem 5.133P

(a)

To determine

The time required for the mid-length of the rod.

(b)

To determine

The steady state temperature distribution expression.

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Chapter 5, Problem 5.117P

Chapter 5, Problem 5.137P

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Chapter 5 Solutions

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The time required for the mid-length of the rod.

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The steady state temperature distribution expression.

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Chapter 5 Solutions