A brass rod 175.00 mm long and 5.00 mm in diameter extends horizontally from a casting at 200°C. The rod is in an air environment with [infinity] 20°C and 30 W/m2·K. What is the temperature of the rod 43.75, 87.50, and 175.00 mm from the casting?

(a) for  43.75 mm rod, the temperature is 121.97 ⁰C

(b) for  87.50 mm rod, the temperature is 80.17 ⁰C

(c) for  175.00 mm rod, the temperature is 53.46 ⁰C

Explanation:

Given;

L = 175 mm = 0.175 m

D = 5mm = 0.005

= 200°C

T∞ = 20°C

Heat transfer coefficient h = 30 W/m²·K

Thermal conductivity of brass K = 133 W/m.°C

where;

T is the temperature of the rod at different casting distance,

Part (a) for  43.75 mm rod

Part (b) for  87.50 mm rod

Part (c) for  175.00 mm rod

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