An aluminium bar of circular cross-section has a diameter of 8 cm and is initially at auniform temperature of 250 ºC. It is suddenly exposed to a convective environment at60 ºC. The surface (convection) heat-transfer coefficient is 1200 W/m2 K. The thermalconductivity, density and specific heat capacity of aluminium are 204 W/m K, 2707 kg/m3and 896 J/kg K, respectively.Calculate:a) the time taken for the centre of the bar to cool to 95 ºC.b) the heat loss per unit length during this period of time.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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An aluminium bar of circular cross-section has a diameter of 8 cm and is initially at a
uniform temperature of 250 ºC. It is suddenly exposed to a convective environment at
60 ºC. The surface (convection) heat-transfer coefficient is 1200 W/m2 K. The thermal
conductivity, density and specific heat capacity of aluminium are 204 W/m K, 2707 kg/m3
and 896 J/kg K, respectively.
Calculate:
a) the time taken for the centre of the bar to cool to 95 ºC.

b) the heat loss per unit length during this period of time.

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