A cylindrical fuel rod 50mm in diameter has a uniform internal heat generation of ??1̇ =...
A cylindrical fuel rod 50mm in diameter has a uniform internal heat generation of ??1̇ = 7*107 W/m3 . Under steady-state conditions, the temperature distribution is ??(??) = ?? + ????2, where T is in Celsius, ?? is in meters, ?? = 750°C, and ?? = -5.40*105 °C/m2 . The fuel rod properties are k=25 W/(m K), density= 1100 kg/m3 , and cp = 750 J/(kg K).
(a) Determine the heat transferred (in Watts) at r=0 (centerline) and r=ro (outer surface) if the rod is 2m long.
(b) If the heat generation is suddenly increased to ??̇2 =1*109 W/m3 , what is the initial time rate of temperature change ( ??/ ?? ) evaluated at r=0 and r=ro?
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A cylindrical fuel rod 50mm in diameter has a uniform internal
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